RELATIONSHIP DISSOLUTION IN COMPLEX FAMILY …PAJARITA CHARLES: Relationship Dissolution in Complex...
Transcript of RELATIONSHIP DISSOLUTION IN COMPLEX FAMILY …PAJARITA CHARLES: Relationship Dissolution in Complex...
RELATIONSHIP DISSOLUTION IN COMPLEX FAMILY STRUCTURES: THE ROLE OF MULTIPARTNERED FERTILITY
Pajarita Charles
A dissertation submitted to the faculty of the University of North Carolina at Chapel Hill in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the
School of Social Work
Chapel Hill 2009
Approved by:
Chair: Dennis K. Orthner, Ph.D. Shenyang Guo, Ph.D. Anne Jones, Ph.D. Susan Parish, Ph.D. Kathleen M. Harris, Ph.D.
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ABSTRACT
PAJARITA CHARLES: Relationship Dissolution in Complex Family Structures:
The Role of Multipartnered Fertility (Under the direction of Dennis K. Orthner, Ph.D.)
Multipartnered fertility (MPF) is a growing phenomenon in many families and
occurs in as many as 74% of couples in certain socio-economic groups (Meyer, Cancian,
& Cook, 2005). MPF describes the occurrence of parents having children with more than
one partner. As these are often couples that social workers meet in various service
environments, understanding their needs is an important consideration for social work
practice, policy, and research.
Previous evidence demonstrates that couples with MPF are at an increased risk for
unstable relationships (Teachman, 2008a), yet we know little about the timing of
relationship dissolution and the differential role that MPF plays in union instability. The
primary research question for this study is: “To what extent does multipartnered fertility
influence whether and when a couple divorces or separates if they are married,
cohabiting, or dating?”
The data (N = 3,022) come from three waves of the Fragile Families and Child
Wellbeing Study, a multistage stratified probability sample of hospital births in 20 large
U.S. cities. Kaplan-Meier estimates are used to describe the event by illustrating the
length of time couples remain in their relationship and to test group differences. Survival
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analysis using discrete-time models is used to estimate the effects of MPF and covariates
on relationship dissolution.
The survivor function suggests a decreasing rate of remaining in the relationship
over the study period, especially in father-only and father/mother MPF cases.
Furthermore, the hazard function indicates a fast rate of dissolution in the early period
following birth, especially among these two groups. The discrete-time models show that
father-only and father/mother MPF cases are significantly more likely to end their
relationship than couples without MPF, after other factors are accounted for. Moreover,
unmarried couples, previously incarcerated fathers, younger mothers, and unsupported
mothers are more likely to separate.
Multipartnered fertility among both mothers and fathers may play a critical role in
the outcome of couple relationships. The findings from this study suggest that programs
and policies to strengthen unmarried couples need to take MPF into consideration, and
should carefully consider the timing of interventions to ensure that they are provided at
the appropriate time.
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ACKNOWLEDGEMENTS I am grateful to many people who accompanied me on this journey. I am
especially indebted to Dr. Dennis Orthner, my chair, advisor, mentor, and friend. Dennis
played an instrumental role in supporting me through this entire process and I thank him
sincerely for his wisdom, guidance, dependability, and thoughtfulness. I will take with
me all that he has offered, both professionally and personally, and will always remember
Dennis for his unwavering commitment to improving the lives of disadvantaged children
and families.
I am also particularly grateful to Dr. Shenyang Guo, who taught me much of what
I know about statistics. His guidance and feedback was critical at many stages of my
dissertation and I thank him for his willingness to correspond over email since most of
my dissertating was done from California! Another special thanks goes to Dr. Anne
Jones, a committee member, and my mentor and friend. Her contribution to my thinking
about how best to support low-income, unmarried couples has been very important to me
over the years of our work together. I am also grateful to Dr. Susan Parish whose
feedback on issues related to my topic was especially helpful. And finally, I thank Dr.
Kathleen Mullan Harris whose substantive and methodological expertise was invaluable
at many points in my research.
I also want to thank Dr. Michal Grinstein-Weiss, my mentor and good friend.
Michal supported me in many ways over the past several years and often selflessly
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offered me the extra assistance and encouragement I needed to make it to the next stage. I
will always remember that “Where there’s a Will, there’s a Way.”
I have always felt very connected to UNC and know that without the support of
many people at the School of Social Work my experience would have been very
different. I want to express my gratitude to Dean Jack Richman, Dr. Kathleen Rounds,
and all the staff at CITU for being there in countless ways. And to all my friends in the
doctoral program, especially Mary, thank you for traveling the road alongside me.
Many special people in California were supportive of me throughout the doctoral
program and I want to thank them. The PS Moms brought humor and grace to my life in
the midst of stress and strain. The Rivera family provided help in ways that no one else
could. And finally, thanks to Pierre, Ilana, and Colby, who offered reliability and security
when I needed it most.
Most importantly, I want to thank my family. I owe tremendous gratitude to my
mother who has been my friend, confidant, and biggest fan. Her unwavering support at
every step in this process made me always believe that I could do it, no matter the odds. I
will always remember the phone calls and emails with all her words of encouragement
and strength to get me through the day.
Finally, I owe the most to my husband and best friend, Simeon, who inspired me
to do this from the very beginning. He really made this possible, never doubting for a
moment that I could finish. His firm belief in me as a researcher, wife, and mother helped
me overcome what seemed to be the impossible! I will always thank him for being there
in countless ways. And lastly, I thank Sorin and Caelan, our two boys. They were as
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much a part of this process as anyone else and taught me what really matters, and that
anything, really anything at all, is possible.
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TABLE OF CONTENTS LIST OF TABLES…..……………………………………………………………………ix
LIST OF FIGURES.……………………………………………………………………....x
Chapter
I. INTRODUCTION……..……………………………………………………..1
II. INSTABILITY IN NONMARITAL UNIONS.……………………………...4
Nonmarital Unions & Childbearing….……………………………………….4
Union Instability…..…………………………………………………………..5
Implications of Union Instability.…………………………………………….6
Policy Context……………………………………………………………….10
Multipartnered Fertility……………………………………………………...12
Correlates of Relationship Instability………………………………………..14
Theoretical Framework: Transition to Parenthood…………………………..20
III. RESEARCH METHODS……………………………………………………25
Research Aims and Hypotheses……………………………………………..25
Data………………………………………………………………………….26
Sample……………………………………………………………………….28
Censoring……...……………………………………………………………..30
Dependent Variable, Origin of Time, and Study Window…………………..32
Independent Variables……………………………………………………….33
Data Management……………………………………………………………37
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Data Analysis………………………………………………………………...37
Model Evaluation and Diagnostic Procedures……………………………….42
IV. RESULTS……………………………………………………………………45
Univariate and Bivariate Results…………………………………………….45
Survivor and Hazard Functions……………………………………………...49
Multivariate Model Results………………………………………………….53
Model Predicted Survivor Curves…………………………………………...61
V. DISCUSSION AND CONCLUSION.………………………………………63
Summary of Major Findings…………………………………………………64
Strengths and Limitations……………………………………………………73
Implications…………………………………………………………………..76
Conclusion.………………………………………………………………......82
APPENDICES…………………………………………………………………………...84
REFERENCES.………………………………………………………………………….87
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LIST OF TABLES
Table Page
1. Descriptive Statistics for Couples by Relationship Status…………..……….46
2. 90th Percentile of the Survival Function of Selected Variables...…………....48
3. Odds Ratios from Discrete-Time Event History Model Predicting Relationship Dissolution vs. Staying Together……………………………....55
4. Odds Ratios from Discrete-Time Event History Model Using
Alternative Reference Group for MPF………………………………………59
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LIST OF FIGURES
Figure Page
1. Five-domain structural model of marital and family adaptation .…………...21
2. Modified five-domain structural model of couple and family adaptation…………………………………………………………………….23
3. Survivor function of relationship dissolution ..……………………………...49
4. Hazard function of relationship dissolution ………………………………..50
5. Survivor function by multipartnered fertility history.…………………….....51
6. Survivor function by relationship status…………………………………….53
7. Hazard function of relationship dissolution by multipartnered fertility status ..……………………………………………...54
8. Model predicted survivor curves…………………………………………….62
CHAPTER 1
INTRODUCTION
Among the most concerning of recent changes to the traditional two-parent
nuclear family model is relationship instability. Couple instability has garnered attention
because of its negative effects on children, especially among low-income families.
Despite what is known about the consequences and causes of relationship instability
among married couples, less is known about the mechanisms behind union dissolution
among unmarried couples, who are likely to differ in important ways from couples who
marry.
Although most parents are romantically involved at the time of their child’s birth,
unmarried couples tend to end their relationships quickly (Bumpass & Lu, 2000). Over
half (54%) of cohabiting couples, for example, end their relationship either through
separation or marriage within one year (Binstock & Thornton, 2003). The risk of
relationship dissolution is particularly high during the early stages of parenting, when
couples face stressors that are often difficult to manage (Center for Research on Child
Wellbeing, 2003; C. P. Cowan & Cowan, 2000; Twenge, Campbell, & Foster, 2003),
leaving children more likely to grow up without both parents.
The proportion of children who live with a lone parent is more than double that of
35 years ago, and nearly half of all U.S. children will spend some part of their life in a
single-parent household (Andersson, 2002; Bumpass & Lu, 2000). This disturbing
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consequence of the rapid changes in family structure has become significant to policy
makers and researchers because single parenting has been found to be associated with
detrimental effects on children on a range of economic, educational, behavioral, and
psychological outcomes (Amato & Booth, 1997; McLanahan, 1997; McLanahan &
Sandefur, 1994; Thomas & Sawhill, 2005).
Single parenting, however, does not account for all family arrangements outside
the two-biological-married-parent structure. Multipartnered fertility is a growing
phenomenon that describes the occurrence of parents having children with more than one
partner. It occurs in as few as 8% of couple relationships and in as many as 74% in
certain socio-economic/racial-ethnic groups (Guzzo & Furstenberg, 2007a; Meyer et al.,
2005). Previous research on stepfamilies has shown that couples with children from
previous partners are at an increased risk for unstable relationships (Teachman, 2008a).
Furthermore, evidence suggests that fathers with children in multiple families can be a
source of stress for many couples and a risk factor for relationship dissolution (Lichter et
al., 2006). Despite this evidence, we know little about the timing of union dissolution and
the differential effects of multipartnered fertility when it occurs with one or both parents
compared to neither parent.
Although the effects of couple dissolution are well documented, evidence-based
practice and treatment methods to address it have not been well developed. Despite this
apparent lag in research, social policy initiatives to stem relationship instability abound.
The Temporary Assistance for Needy Families Reauthorization Bill, passed in February
2006 as part of the Deficit Reduction Act of 2005, appropriated up to $750 million to
support healthy marriage and responsible fatherhood programs. In 2006, there were over
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250 Healthy Marriage grants awarded to service providers in states across the country
working to strengthen and sustain marriages and relationships (Administration for
Children and Families, 2006)1. Many of these programs operate in settings serviced by
social workers. Since social workers often work with at-risk couples with multipartnered
fertility in these and a variety of other social service environments, understanding their
needs is an important consideration for social work practice, policy, and research.
Several social and economic explanations exist for the recent demographic
changes observed in the traditional two-parent family model. Some posit that the
weakening link or “decoupling” of marriage and parenthood, as well as a shift in norms
and an increased acceptance of alternatives in family structure, play a part (Cherlin,
Cross-Barnet, Burton, & Garrett-Peters, 2008; Edin & Kefalas, 2005). Changes in gender
role expectations of men and women, as well as women’s desire to increase their self-
efficacy through childbearing (Edin & Kefalas, 2005) are other possible reasons for the
shifts in family patterns. Economic explanations focusing on the expansion of economic
opportunities for women (Becker, 1991), incentive effects due to welfare (Bitler,
Gelbach, Hoynes, & Zavodny, 2004), and the decrease in men’s earning potential
(Oppenheimer, 1994), also exist . Despite the numerous hypotheses about changes to
family formation patterns, no single theory explains a satisfactory portion of the problem.
In fact, finding an accurate explanation has proven to be one of the most difficult and
frustrating problems for social scientists in years (Ellwood & Jencks, 2001). To help
address this challenge, this paper seeks to improve our understanding of the relationship
between multipartnered fertility and union instability among a sample of parents who
recently had a child together. 1 This is likely an undercount of grantees because it does not include later contracts that were awarded.
CHAPTER 2
INSTABILITY IN NONMARITAL UNIONS
Nonmarital Unions & Childbearing
Nonmarital childbearing has grown dramatically during the last 50 years,
increasing from 5% in 1960 to almost 40% in 2007 (Martin et al., 2007; Ventura, 2009).
The number of infants born to unmarried women rose to 1.7 million in 2007, the highest
number ever recorded for which comparable statistical data are available. Proportions of
births to unmarried women vary widely by race and ethnicity. For instance, 70% of all
births to non-Hispanic black women were to mothers who were unmarried in 2005,
compared to 48% and 25% for Hispanic and white women respectively (Martin et al.,
2007).
Contrary to popular belief, many unmarried women who bear children do so with
a partner who is actively engaged with the mother during and, at least for some time, after
pregnancy. While the findings are somewhat mixed, cohabitation arrangements appear to
account for a large portion of what are conventionally thought of as non-marital, single-
mother births. According to Bumpass & Lu (2000), completely unattached mothers (i.e.,
women in no type of sustained partner relationship at all) are actually quite rare, with
evidence suggesting that the rise in childbirth among unmarried mothers is for the most
part due to a rise in births to cohabiting, two-parent couples.
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Approximately 4.6 million couples in the U.S. are in a cohabiting relationship, a
stark contrast to the .4 million households with cohabiting couples in 1960 (Seltzer,
2004). With half of couples cohabiting before marriage, this co-residential romantic
relationship has become the normative experience for many Americans (Cherlin, 2005).
“It has in fact become so prevalent that the majority of marriages and remarriages now
begin as cohabiting relationships, and most younger men and women cohabitate at some
point in their lives” (Smock, 2000, p. 1). The dramatic increase in cohabitation over the
last several decades has garnered significant attention because of numerous social
implications associated with it. Cohabitation has been associated with an increase in
marital unhappiness and a weakening of people’s commitment to the norm of marriage
(Amato, Johnson, Booth, & Stacey, 2003; Axinn & Thornton, 1992). It has also been
linked to unstable relationships (Bumpass & Lu, 2000) and poor child outcomes (Bulanda
& Manning, 2008; Teachman, 2008b).
Union Instability
Despite the increase in rates of cohabitation, stability within such unions is
becoming less common (Lichter et al., 2006; Manning, Smock, & Majumdar, 2004).
Cohabiting couples are more likely to end their relationships compared to married
couples and are more likely to divorce once they have gotten married; the exception to
this is when women cohabit exclusively with their husbands (Teachman, 2003). The
proportion of cohabiting couples that separated between 1980 and 1994, regardless of
eventual marriage to each other, increased from 45% to 54% (Bumpass & Lu, 2000).
Cohabiting relationships tend to be short-lived, with about half such relationships lasting
one year or less. Within five years, about 40% of cohabiting couples separate and another
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50% end the cohabitation through marriage (Binstock & Thornton, 2003; Bumpass & Lu,
2000; Smock, 2000). As cohabitation becomes more socially acceptable and more people
enter into cohabiting relationships for convenience, it is expected that commitment levels
within relationships will drop leading to even higher rates of dissolution (Bumpass & Lu,
2000).
Differences in relationship outcomes among cohabiting couples who are poor
compared to their nonpoor counterparts suggest these two groups may face different
relationship stability risks. While transitions out of cohabitation are prevalent for both
groups, in a study by Lichter and colleagues (2006) over half (52%) of the relationships
ended in dissolution for disadvantaged women compared to 42% for nonpoor women.
Among those who were poor, only one-third ended in marriage compared to 51% for the
nonpoor group.
Despite the instability of most nonmarital unions, the majority of couples in
cohabiting and dating relationships report very favorable attitudes toward marriage and
most cohabiters expect to marry eventually. Approximately three-quarters of cohabiting
women, for example, report that they intend to marry their partner in the future (Manning
& Smock, 2002; McLanahan, 2009). This supports the view that unmarried couples,
specifically those cohabiting, see themselves as taking steps toward marriage, not as
seeking an alternative to it (Guzzo, 2009; Oppenheimer, 2003).
Implications of Union Instability
Economic Consequences
Relationships that involve children and that eventually dissolve are a concern to
policymakers and researchers because of the risk for lower economic well-being among
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single parents and children in these family types. Thomas and Sawhill (2005) compared
median income across family types after adjusting for tax credits and liabilities, food
stamp benefits, child care costs, and family size and found that married-parent families
are generally better off financially than either single-parent or cohabiting families by as
much as 45% and 35%, respectively. Single-parent families, especially single-mother
families, have the highest poverty rate (34%) of all other family configurations, including
married (7.6%), and cohabiting (21.5%) families (Thomas & Sawhill, 2005). Despite
these inequalities, previous research has found that low-income single mothers have some
economic advantages that resemble those of married, two-parent families. For instance,
Orthner et al. (2004) found that single parents’ ability to save and to pay bills on time
approached that of married, dual parents primarily because of advantages from
government assistance programs.
Research on income variation among unmarried mothers shows noteworthy
differences between cohabiting, romantically involved, and completely unattached
mothers (i.e., mothers who are not cohabiting or romantically involved with the father of
their baby). Jackson, Tienda, and Huang (2001) found that single mothers in no
partnership at all face the most precarious economic circumstances among all relationship
types. Married mothers reported $55,000 in household earnings compared to
approximately $24,000 for cohabiting women and $20,000 for unattached mothers.
Furthermore, only 40% of unattached mothers claimed that they received cash assistance
from the father of their baby compared to 95% of cohabiting mothers and 83% of
romantically involved mothers.
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Couple stability also appears to affect wealth and asset accumulation. Cohabiting
individuals, and especially those in short-term relationships, are generally at a
disadvantage when it comes to long-term wealth accumulation and rarely generate levels
of wealth similar to those of married couples (Wilmoth & Koso, 2002). For example,
married individuals in a study of savings performances among low-income participants in
an Individual Development Account savings program had higher levels of home
ownership and car ownership than unmarried participants by as much as 20% (Grinstein-
Weiss, Zhan, & Sherraden, 2006).
Although the economic impact of union instability on women is generally well
understood, the effects of leaving a relationship for men are somewhat less clear and
seem to depend on whether the transition is out of a cohabiting relationship or a marriage.
For instance, Avellar and Smock (2005) found that following divorce, married men
typically experience increases in their personal earnings and decreases in their poverty
levels. This is contrary to the experience of cohabiting men whose poverty levels tend to
increase, a finding potentially attributable to cohabiting men’s likelihood to have fewer
skills and less education than those who marry.
Research on the economic effects of relationship stability and family formation is
hampered by the question of whether the differences in income among family types are
driven by family structure per se or by selection (Parke, 2003). It is possible, for example,
that couples with the most resources choose marriage while those with fewer resources
opt for cohabitation, and those with the least resources end up as single parents.
Researchers have, however, attempted to control for these possible selection biases (using
fixed and random effects models, for example) and have found that couple arrangements
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and marriage are still associated with economic benefits for mothers and children
(Lerman, 2002; Thomas & Sawhill, 2005).
Child Well-Being
Instability in unmarried couple relationships has negative implications beyond
those of economic effects. The consequences for children are of primary concern early
and later in life because of evidence that points to a strong link between family structure
and behavioral, educational, psychological, employment, and physical health outcomes
(McLanahan, 1997). Children raised by two biological married parents tend to fare better
than children from other family structures, particularly single-parent families
(McLanahan & Sandefur, 1994). Children raised in single-parent families are more likely
to be at high risk for lower socioeconomic achievement, poor educational performance,
poorer psychological well-being, and lower social integration (Amato & Booth, 1997;
Pagani, Boulerice, & Tremblay, 1997; Teachman, 2008b; Wen, 2008). They are also at
risk for lower rates of high school and college completion, teenage childbearing, idleness
in young adulthood (McLanahan & Sandefur, 1994) and higher rates of poverty and
lower earnings later in life (Corcoran & Adams, 1997) .
Previous research has found that once important family characteristics such as
income, race, and socioeconomic status are taken into account, children from families
with only one parent are more likely to experience problems both during childhood and in
adulthood (Duncan & Brooks-Gunn, 1997). More recent research, however, suggests that
the negative effects of parental living arrangements and father absence have been
exaggerated in public discourse and are largely attenuated once income and education are
taken into account (DeBell, 2008; Foster & Kalil, 2007). This suggests that the
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determinants of child outcomes stem from multiple factors, not only family living
arrangements. Further, it may indicate that family structure plays less of a role as a main
effect and is more of a proxy for other processes that affect child outcomes (e.g.,
fatherhood involvement) (Foster & Kalil, 2007).
Although children in cohabiting and married families generally appear different
on several socio-emotional and educational outcomes, the evidence remains inconsistent.
For example, Dunifon & Kowaleski-Jones (2002) found that while white children with
cohabiting parents had lower math scores in school, black children with cohabiting
parents had higher test scores. Another study showed no effects on behavior but
significant negative effects on math and reading scores for children who remained in a
cohabiting family compared to those whose mothers eventually married (Acs, 2005). In
the same study, children in families who transitioned from cohabitation to marriage,
however, had higher math and reading scores even before their mothers married,
suggesting that a high quality union may explain more of the benefits of having married
parents than marriage itself. Similar findings were made with the Fragile Families Study
showing that children from cohabiting families demonstrate more problem behaviors
(e.g., depression, anxiety, withdrawal, and aggressiveness) than children from married
families, although the differences were found to be largely attributable to background
characteristics of the parents who chose marriage (Center for Research on Child
Wellbeing, 2005b).
Policy Context
Heated debate over the implementation of welfare reform legislation has centered
on the complex issue of whether, and if so how, the government should assist
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disadvantaged couples in sustaining their relationships and potentially getting married,
given the range of negative outcomes associated with nonmarital unions and
childbearing. On one side are marriage supporters who argue that marriage would
dramatically decrease the child poverty rate (Rector, Johnson, Fagan, & Noyes, 2003).
On the other side are critics of marriage promotion who maintain that women and
children who are victims of domestic violence will be unnecessarily pressured into
staying in violent relationships under the guise of “healthy marriage” goals (Catlett &
Artis, 2004). Others fall somewhere in the middle and contend that while some couples
are likely to benefit from government-sponsored pro-marriage programs, many of them
will need additional support to form stable families, including mental health services,
employment services, and assistance after reentry from incarceration (McLanahan, 2009).
As reported above, the evidence on children’s outcomes from unmarried versus
married parents remains mixed. Regardless of the true effects of marriage on poverty and
child well-being, it is known that most unmarried couples aspire to marry and believe that
marriage is good for themselves and for their children. Despite their high hopes of
marrying, some groups face significant barriers to doing so and are at significant risk of
being alone or in serial relationships. Many factors have been identified with union
instability and yet programs and policies to help couples stabilize and strengthen their
relationship still remain in their infancy, particularly those that serve low-income,
minority populations (Reardon-Anderson, Stagner, Macomber, & Murray, 2005).
Additional evidence is needed to guide policymakers and program planners as to how
best to support couples at risk of dissolution. This study serves to inform this knowledge
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gap through examination of the role that multipartnered fertility, along with other factors,
plays in the stability of low-income couple relationships.
Multipartnered Fertility
Multipartnered fertility (MPF) refers to adults having children with more than one
partner, either outside the current relationship or in a former relationship (M. Carlson &
Furstenberg, 2006). Despite this growing phenomenon, information on the prevalence of
multipartnered fertility is limited because of the difficulty in capturing complex family
relationships, especially among poor parents who typically experience frequent
transitions. Accurate fertility histories of men are almost non-existent, and thus much of
what is known comes from mother reports like those in the Fragile Families Study. While
the Fragile Families Study is useful, it is nonetheless limited to the population of
nonmarital births in large U.S. cities. Some other sources of information exist, however,
that are useful in creating a general picture of multipartnered fertility in the U.S.
A Wisconsin study of welfare recipients in the late 1990s found that among the
mothers and fathers interviewed, three-fourths had a child with a previous partner (Meyer
et al., 2005). Data from the 2002 National Survey of Family Growth provide a useful
snapshot of multipartnered fertility among a nationally representative sample of men
aged 15-44. Guzzo and Furstenberg (2007a) found that nearly 8% of all American men
reported having had children with more than one partner. Despite this rather low
percentage, a different story was revealed when the researchers examined only fathers. In
this case, 17% of the men reported having had a child with at least one other mother.
Using the National Longitudinal Study of Adolescent Health (Add Health), Guzzo and
Furstenberg (2007b) found that among women aged 19-25 with a nonmarital first birth,
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14% subsequently went on to have a second child with a new partner. Moreover, 41% of
women with two or more children reported having had their children with multiple
partners.
Research shows that multipartnered fertility is problematic because of how it
affects family formation decisions and stability. For example, multipartnered fertility acts
as a risk factor for separation among married couples and is a disincentive to sustain a
relationship among unmarried couples, particularly when they are economically
disadvantaged (Lichter et al., 2006). Moreover, when a father has a child from a prior
relationship, it acts as a risk factor for dissolution among both married and cohabiting
couples (Osborne, Manning, & Smock, 2004). Additional evidence suggests that
unmarried parents are less likely to progress into a cohabiting or marital relationship after
having had a baby when the father or mother has a child from a previous relationship (M.
Carlson, McLanahan, & England, 2004; Harknett & McLanahan, 2004; Upchurch,
Lilliard, & Panis, 2001).
The negative effects of multiple partnerships on union formation appear to differ
by gender. For women, it may be explained by a hesitation to move the relationship to a
more committed level when the partner is paying child support to another woman or is
potentially inclined to sustain old romantic ties (Edin & Kefalas, 2005). Multipartnered
fertility may be equally unattractive for a man because the choice to marry or to move in
with a woman who already has a child often means bearing the economic cost of another
man’s child (Koo, Suchindran, & Griffith, 1984; Lichter & Graefe, 2001).
Multipartnered fertility has implications for mothers, fathers, and children beyond
those related to family structure. For example, Harknett and Knab (2007) found that
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multipartnered fertility among both mothers and fathers was associated with the
perception of reduced support from social networks in the form of housing, financial, and
childcare assistance. Other research shows that fathers’ multipartnered fertility is
associated with deleterious effects on both his prior and new family because of
ineffective parenting and an inability to cooperate with either partner, i.e., the former
mother and the new mother (M. Carlson & Furstenberg, 2007).
Despite the good intentions of lone fathers and mothers to find a stable partner
and stepparent for their child, the complex family configurations that result from
multipartnered fertility often further reduce the chances of forming an enduring
relationship and family system. This has significant effects on family formation
processes, and makes it particularly unlikely for children born to unmarried
disadvantaged parents to rise out of poverty (McLanahan, 2009).
Correlates of Relationship Instability
Prior research has shown that multipartnered fertility is one of numerous factors
affecting relationship outcomes among unmarried couples. Other factors include
demographic, socioeconomic, and relationship characteristics.
Previous research has consistently shown that family-of-origin factors, including
family structure, play an important role in predicting future family formation outcomes
(Amato & Cheadle, 2005; Teachman, 2002). Parental arrangements have been shown to
act as a template for offspring (Sassler, Cunningham, & Lichter, 2009) and evidence
suggests that growing up without both biological parents can lead to a lower chance of
getting married and developing high quality relationships later in life (South, 2001).
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Other studies have noted the importance of race and ethnicity on the stability of
relationships. Racial and ethnic variation among cohabiting couples who eventually
separate suggests that blacks are more likely to dissolve their unions than are Hispanics
and whites (Manning et al., 2004; Osborne et al., 2004). Black couples are also more
likely to divorce than white couples during the first 14 years of marriage (Orbuch, Veroff,
Hassan, & Horrocks, 2002) and are less likely to marry than whites at all socioeconomic
levels (Lichter, Kephart, McLaughlin, & Landry, 1992). Asian and Latina women have
lower odds of dissolving their relationships than white women (Lewin, 2005).
These findings are qualified, however, by a closer look at the details of couple
relationships. Brown (2000) found that black couples were less likely to formalize their
relationships through marriage than were whites, but were also more likely to maintain a
cohabiting, stable relationship than white couples who transitioned into marriage more
quickly. This may be an indication that cohabitation and other nonmarital relationship
ties (e.g., serious dating), serve as an alternative to marriage for black couples more often
than for whites who view it as a temporary relationship state (Manning & Landale, 1996).
Age acts as a protective factor against relationship and marital dissolution (Lewin,
2005; Lichter et al., 2006; Osborne et al., 2004; Upchurch et al., 2001). The older one is
at the start of a cohabiting union for example, the less the risk of separation (Wu &
Balakrishnan, 1995). Couples who marry early, for example, have less time to search for
their best match and subsequently obtain less information about their partner. In turn, this
increases the risk of future union dissolution (Becker, 1991; Teachman, Tedrow, & Hall,
2006).
16
Although religious involvement has been found to act as a protective mechanism
against marital disruption and to increase the odds of marriage compared to staying single
or cohabiting (Lehrer & Chiswick, 1993; Stewart, Manning, & Smock, 2003), more
recent research on the role of religion in understanding union dissolution in unmarried
relationships appears mixed. For example, several studies on union stability show that
mothers’ regular attendance at church or having a specific religious affiliation had no
effect on rates of separation in cohabiting and dating relationships (Manning et al., 2004;
Osborne, 2005; Wu & Balakrishnan, 1995). Osborne and colleagues (2004) found the
opposite effect, with weekly attendance at religious services decreasing the odds of
separation for cohabiting couples.
These contradictory findings may in part be explained by the lack of detailed
information in data sets on the religiosity of both parents and on details of specific
religious affiliation that can bear on family formation decisions (Lehrer, 2004).
Information about the religious attendance of fathers is particularly important given
recent findings that joint attendance and fathers’ attendance alone (unlike mothers’
attendance alone) are predictive of higher relationship quality in unmarried and married
couples (Wilcox & Wolfinger, 2006). The findings may also be related more generally to
the differences observed in the role that religion plays in marital versus nonmarital
relationships. It is possible, for instance, that religion plays a smaller role in union
outcomes among unmarried couples because men and women who select into cohabiting
and dating relationships are less religious to start with and hold less traditional views
about marriage and family (Thornton, Axinn, & Hill, 1992).
17
A history of incarceration has also been shown to be associated with unstable
romantic relationships. Ex-offenders may be undesirable as marriage partners for various
social and economic reasons and are less likely to be engaged in normative spousal and
parenting roles (Lopoo & Western, 2005). Evidence suggests that a history of
incarceration is strongly linked to being in a non-marital (and often unstable) co-
residential relationship either with or without children (London & Parker, 2009).
Socioeconomic Factors
Men’s earnings play an important role in predicting relationship stability. Low
earnings ($10,000-$24,999) for example, are negatively related to maintaining a dating
relationship (relative to breaking up) and higher earnings ($25,000 and up) are positively
associated with marriage (M. Carlson et al., 2004). Research on the effects of income and
employment stability on relationship outcomes demonstrates similar findings: the odds of
union dissolution are higher in cases when the man has low earnings and high
unemployment (Lewin, 2005).
This economic effect among men is supported by qualitative research that
suggests women have little patience for men who are economically ill-equipped to
support their family (Charles et al., 2006; Edin & Kefalas, 2005; Gibson, Edin, &
McLanahan, 2003). This is particularly the case among black couples who highly value
the traditional role of the male’s breadwinner ability (Cutrona et al., 2003). The negative
effect of low earnings does not appear, however, to operate the same among Hispanic
couples. Mexican-American marriages are more similar in rates to whites and exceed
those of blacks despite the relatively low levels of education and earnings that many
Mexican-Americans experience (Rosenfeld, 2002).
18
Not all evidence, however, suggests that men’s income has the only effect on
union stability. Research by Osborne (2005) suggests that women’s earnings actually
play a more important role than men’s earnings in predicting marriage and separation
among unmarried couples. Specifically, she finds that women in a dating relationship
who are higher earners have ten times the odds of marrying compared to women with no
earnings. Even some earnings (less than $10,000) compared to zero earnings decrease the
odds of union dissolution for both cohabiting and dating mothers by half. In Osborne’s
study, no association was found between men’s earnings and separation or transition to
marriage.
Education for both men and women also plays an important role in relationship
stability. College education among women is associated with marriage among cohabiters
but has been found to have no effect among dating couples (Osborne, 2005). Additional
evidence suggests that college education for fathers significantly reduces the odds of
union dissolution in married and cohabiting couples and that having the same education
as the father acts as a protective effect against dissolution among mothers (Osborne et al.,
2004). Despite the protective mechanism that educational homogamy plays in reducing
union disruption, there has been a decreasing trend in marriage among couples with less
education, a phenomenon indicative of a growing social divide between those with more
and less education (Qian & Preston, 1993; Schwartz & Mare, 2005).
Homeownership, a measure of wealth, is another factor potentially associated
with family structure and relationship stability. Prior studies have found that
homeownership and assets were related to lower levels of risk for divorce in married
couples (Bracher, Santow, Morgan, & Trussell, 1993; Dew, 2008). Because of the scant
19
research on this topic that includes unmarried couples, the way in which homeownership
operates in unmarried samples is unknown. However, the assumption in the current study
is that the processes that seem to exist for married couples might hold true for unmarried
couples as well.
Relationship Characteristics
Prior research has found that the quality of a couple’s relationship is linked to
union outcomes: as anticipated, better relationship quality and lower conflict is associated
with higher odds of marriage and lower odds of separation (Osborne, 2005). The odds of
separation among cohabiting couples, for example, are higher when there is unhappiness
in the relationship, disagreement, infrequent partner interaction, and poor conflict
resolution skills (Brown, 2000). Analysis of data from the Fragile Families Study
indicates that gender distrust and supportiveness are both significant predictors of
transitions into cohabitation or marriage one year after a couple has a baby (M. Carlson et
al., 2004). Qualitative research using a subset of respondents from the Fragile Families
Study has been especially helpful in understanding issues related to trust. Hill (2007)
found that distrust and sexual jealousy from incidents of infidelity were not only quite
common but often signaled an imminent end to the relationship.
A father’s physical violence toward the mother, frequent conflict, and paternal
substance abuse have been found to be associated with a higher risk of separation
(DeMaris, 2000). Leaving an abusive relationship because of domestic violence is a fairly
consistent finding among samples of married and cohabiting women (Amato &
Hohmann-Marriott, 2007; Zlotnick, Johnson, & Kohn, 2006). Not all aggression results
in poor relationship outcomes, however. For example, DeMaris (2000) found no
20
significant impact on dissolution from verbal conflict or when the violence was
perpetrated by the woman.
The length of time a couple knows each other prior to pregnancy is also predicted
to influence the outcome of the relationship. Prior research has found that relationships of
short duration are associated with unplanned pregnancies (Bouchard, 2005). Historically,
unmarried couples who got pregnant would rush to marry to avoid the shame associated
with having pre-marital sex (England & Edin, 2007). The frequency with which this
happens today, however, is quite low and it is anticipated that short relationships, in
combination with pregnancy (especially unplanned pregnancies), are more likely to be
vulnerable to dissolution.
Finally, attitudes about marriage could play a role in the relationship outcomes of
romantic couples since marriage is a social institution commonly associated with higher
levels of relationship commitment (Riggio & Weiser, 2008). If a man or woman
expresses strong feelings about the importance of marriage and the role it plays in
children’s lives, he or she might be less inclined to separate from her partner (even her
unmarried partner) in hopes of reaping some of these rewards.
Theoretical Framework: Transition to Parenthood
Previous research has consistently demonstrated that the transition to parenthood
for first-time parents is associated with negative effects on a couple’s marital satisfaction
(C. P. Cowan & Cowan, 2000; Hawkins, Fawcett, Carroll, & Gilliland, 2006; Twenge et
al., 2003). The mechanisms underlying this process are not fully understood however,
thus Cowan and Cowan (1988) argued for better comprehension of the development of
relationship change that occurs when a baby is added to the family system. To address
21
this problem, they developed the five-domain structural model of marital and family
adaptation to improve the understanding of the process of change that occurs in a
couple’s relationship after the birth of their baby.
The basis of Cowan and Cowan’s model stems in part from Bronfenbrenner’s
ecological approach (1979), which suggests the need for a multilevel system of analysis
in order to account for the full context in which individuals function and change. As seen
in Figure 1, the five domains in the model include elements from different levels of
family organization -- the individual, dyad, triad, three generations, and surrounding
social systems.
The focus is on the connection between the elements in each level. The elements
include (a) the characteristics of each individual in the family, with emphasis on self-
concept and self-esteem (individual), (b) the quality of the husband-wife or partner
relationship, with special emphasis on their division of labor and patterns of
Individual
Dyad
Triad
3 generations
Social systems
Figure 1: Five-domain structural model of marital and family adaptation
22
communication (dyad), (c) the relationship between each parent and the child (triad), (d)
the connection between patterns in the new family system and the two families of origin
(three generations), and (e) the balance between parents’ external sources of stress and
support, with special emphasis on social networks and jobs or careers (social system).
The model is particularly useful because of its inclusion of different elements within the
family system and the attention given to the interaction across these domains. “Our model
suggests that what happens in each of the domains combines to influence satisfaction or
dissatisfaction and adaptation or distress for the individuals, the marriage, or the family
as a whole” (C. P. Cowan & Cowan, 2000, p. 123). The dynamic processes that occur
between and within the internal and external elements of the model can help explain
some aspects of the mechanism driving the effects of multipartnered fertility.
As depicted in Figure 2, if the model is modified to include “affiliate” individuals
and families, i.e., partners and children from prior relationships (plus new partners and
children that ex-partners currently have), in the outermost domain (social systems), then
multipartnered fertility becomes a key element in the system of the focal family. Take for
example, the case of a family in which the father has a child from a previous relationship
and has limited education and employment skills. Poor job prospects and depressed
wages will likely limit his ability to generate adequate income to support his current
family and to pay child support to his previous family. The combined negative impact of
the social system (work opportunities and multipartnered fertility) on both families, and
in particular on the partner relationship, suggests that re-partnering puts some couples at a
significant disadvantage for long-term stability.
23
Despite the fact that the model was originally intended for married couples with
first-time births, it serves as a useful framework for conceptualizing how multipartnered
fertility influences relationship stability in other couples as well, including unmarried
low-income minority couples with previous children. An application of the model in this
way has in fact been put to use in a recent intervention study testing the effectiveness of a
couple-strengthening program for low-income couples (C. P. Cowan, Cowan, Pruett, &
Pruett, 2007). Preliminary results indicate significant positive outcomes for participants
compared to control group couples.
Under the condition of a modified framework, it becomes clearer how the
relationship of the focal couple is subjected to significant stress when there are pre-
existing parental, romantic, and various obligatory ties to other families and individuals.
This is especially relevant when the couple has just had a baby and the father has
Individual
Dyad
Triad
3 generations
Social systems
Figure 2: Modified five-domain structural model of couple and family adaptation
Father’s MPF Family: prior mother + child +
(her new male partner + any children they have)
Mother’s MPF Partner: prior father + (his new female partner + any children they have)
24
multipartnered fertility. Under these circumstances, the couple is likely to face significant
challenges given the resource demands (e.g., time, money, emotion, physical presence)
that exist across households. This can impart stress to all the children and partners
involved, leaving the focal couple with the newborn baby at higher risk for union
dissolution. The overall research question and hypotheses for this study were generated
with this framework in mind, as well as an understanding of the correlates of relationship
dissolution.
CHAPTER 3
RESEARCH METHODS
Research Aims and Hypotheses
The purpose of this study is to explore the timing of relationship dissolution and
the factors associated with its occurrence among couples who just had a baby together.
The primary research question is: “To what extent does multipartnered fertility influence
whether and when a couple divorces or separates when they are married, cohabiting, or
dating?” Several stages of analysis address the research question. First, the extent to
which couples end their relationship in the period following the birth of their baby by
initial relationship status is examined. Second, the pattern of leaving the relationship over
time and tests of group differences according to multipartnered fertility history are
explored. Third, survival analysis is employed to evaluate the association between union
break up and multipartnered fertility by the father, mother, or both parents compared to
neither one of them. Lastly, predicted probabilities are used to examine the pattern of
relationship stability according to multipartnered fertility history and current relationship
status with model-predicted survivor curves.
Within the framework of the primary research question, there are five hypotheses
that will be tested in this study:
1. Couples with multipartnered fertility have a faster rate of separation than couples
without multipartnered fertility.
26
2. Cohabiting and dating couples have a faster rate of separation than married
couples.
3. Couples with multipartnered fertility from the father face greater risk for
dissolution relative to couples with multipartnered fertility from the mother.
4. Economically disadvantaged couples are at a higher risk for relationship
dissolution than couples who are more economically stable.
5. Couples with higher levels of relationship supportiveness and lower levels of
violence and conflict face a reduced risk for dissolution relative to couples with
poor relationship quality.
Hypothesis 1 will be tested using Kaplan-Meier estimates to obtain the survivor
function of the sample according to respondents’ multipartnered fertility status.
Hypothesis 2 will also be tested using Kaplan-Meier estimates to examine the survivor
function of respondents according to their relationship status at birth. After visual
inspection of the survivor curves, both hypotheses will be further verified using the
Generalized (Breslow Wilcoxon) Test to test for significant differences of the median
survivor function. If this is not possible because more than 50% of the couples remain in
their relationship by the end of the study window, then differences between groups at
some other percentile (e.g., 75th, 85th, 90th ) will be tested instead. The last three
hypotheses will be tested using discrete-time survival models examining the effect of
multipartnered fertility and covariates on the risk of dissolution.
Data
This study uses data from the first three waves of the Fragile Families and Child
Wellbeing Study to explore the timing of relationship instability among parents with a
27
newborn child. The Fragile Families Study is a longitudinal stratified random sample of
hospital births in 20 large U.S. cities. The data were collected using a stratified multistage
clustered sample design where respondents were not selected independently or with equal
probability. Unmarried mothers were over-sampled to allow for a greater focus on births
to vulnerable populations. The first stage of selection was the city, the second stage
hospitals, and the third stage births. The sampling frame consisted of 77 cities with
populations of more than 200,000 people. These cities were then grouped into 9 different
strata according to their policy environments (i.e., generosity of welfare and child support
enforcement) and local labor market conditions (Reichman, Teitler, Garfinkel, &
McLanahan, 2001). One city was selected from the first 8 strata and 8 cities were selected
from the 9th strata, totaling 16 cities in the national sample. Four additional cities were
selected for special reasons and cannot be included in analyses weighting back to the
national sample. From within the national sample, one or more hospitals with high rates
of nonmarital births were identified; a total of 75 hospitals were selected. Finally, births
in these hospitals were selected until a certain sample size and sampling rate was met
(about 75% for unmarried mothers and 25% for married mothers). When weighted, the
data are representative of nonmarital births (and nearly representative of marital births) in
U.S. cities with populations over 200,000 in 1999 (B. L. Carlson, 2008).
Between 1998 and 2000, approximately 3,500 unmarried mothers and 1,500
married mothers were interviewed in the hospital immediately following their child’s
birth. For the majority of births, both mothers and fathers were interviewed within three
days of delivery. The Fragile Families study consists of interviews at birth in addition to
28
several follow-up waves. Interviews following the baseline survey were conducted in
person and over the telephone.
The present study utilizes the baseline interview (i.e., wave 1), and two
consecutive waves of data collected when the child was approximately one and three-
years old (i.e., wave 2 and wave 3). The wave 2 and wave 3 interviews were conducted
between 1999-2002 and 2001-2003 respectively (Center for Research on Child
Wellbeing, 2008). The surveys cover topics in the following eight areas: child health and
well-being, parent-child and mother-father relationships, demographic characteristics,
marriage attitudes, family background, health, religion, and socioeconomic
characteristics.
At baseline, response rates for eligible mothers and fathers approached in the
hospital were 87% for unmarried mothers, 82% for married mothers, 75% for unmarried
fathers, and 89% for married fathers. The baseline dataset included 4,898 completed
mother and 3,830 completed father interviews. Across the three waves of the study, 86%
of fathers were interviewed at least one time; 82% of mothers and 55% of fathers were
interviewed at all three waves (Center for Research on Child Wellbeing, 2005a).
Sample
From the initial 4,898 interviews, this analysis is limited to the 4,245 mothers who
were married or romantically involved at the baseline interview. In order to focus on
couples in a romantic relationship, three categories of observations were omitted from the
baseline sample: mothers who reported being friends with their partner or not talking to
him, mothers whose child’s father was unknown, or relationships for which union status
was missing (N=653). Of these 4,245 cases, 396 mothers and fathers with missing
29
interviews at wave 3 were dropped, resulting in a sample of 3,849. The sample was
further reduced to 3,819 when 30 observations with event dates before the start of the
study were excluded2. Finally, due to missing values on the dependent and independent
variables the analytic sample was reduced to 3,022 mothers. The sample includes 813
(27%) married mothers, 1,329 (44%) cohabiting mothers, and 880 (29%) dating
mothers3, (i.e., romantically involved with, but living apart from, the baby’s father).
Missing values on the independent variables ranged from 0% to 7.04%. Bivariate
tests (chi-square for categorical variables and Adjusted Wald Test for continuous
variables) using the weighted data were conducted to determine whether excluded
couples differed significantly from couples included in the analytic sample4. Fortunately,
the included cases did not differ from the excluded cases on most variables except in
three instances. The first was for fertility history (7.04% missing) where approximately
20% of fathers with multipartnered fertility were excluded compared to 15% when both
parents had multipartnered fertility, 12% when mothers had multipartnered fertility, and
6% when neither had multipartnered fertility F(2.41, 77.12) = 6.75, p < .01. Second,
mothers who reported substance abuse (.21% missing) were more likely to be missing
than mothers who reported not having a substance abuse problem (48% vs. 15%) F(1,
145) = 5.56, p < .05. Third, mothers who were dropped from the sample had on average a
shorter relationship prior to pregnancy than mothers not dropped from the sample (.79%
missing) (5.4 years vs. 7.4 years) F(1, 32) = 12.96, p < .01. Some caution should be used
2 These were omitted since event dates that precede the onset of the relationship would result in a “negative duration” of time to event. 3 In other studies using Fragile Families data, researchers usually refer to this group as “visiting.” 4 When a test of independence is conducted in Stata using weighted data, the test is based on the usual Pearson χ2 statistic for two-way tables. However, to account for the survey design, the statistic is converted into an F statistic with a correction.
30
when interpreting results from this study because of these differences. Specifically, the
study sample’s lower proportion of fathers with multipartnered fertility, mothers with a
substance abuse problem, and couples with shorter relationship duration prior to
pregnancy all need to be taken into account because of the limitation this may cause with
regard to making generalizations about the study’s findings.
Censoring
There are two types of censoring problems that occur in event history analysis –
left and right censoring. Censoring occurs when the time to event is unknown for some
portion of the sample. Guang Guo (1993) defines left-censoring in the following manner:
“a left-censored subject is known to have experienced the event, but the exact failure time
is unknown,” (p. 220); in survival analysis, the event of interest occurs before the start of
the observation period. Right-censoring occurs when the event of interest happens to a
subject after the end of the observation period or because of a loss to follow-up during
the study window, e.g., the subject drops out of the study for some reason (i.e., death,
refusal to participate, or failure to locate the subject at follow-up interviews).
Censored cases (N=1,655) are defined in this study as those respondents whose
exact time to event (relationship dissolution) is unknown because it did not occur during
the study window. These are right-hand censored cases because we only know that the
event has not occurred by the end of the study window and may or may not occur after
the end of the observation period. All censored cases with a valid mother interview at
wave 3 are assigned the interview date at wave 3 as the censoring date. If the mother’s
wave 3 interview is missing, I supplement with the father’s interview date if available.
31
Random censored cases are defined as those study subjects whose starting and
ending points are known but the ending date occurs before the end of the observation
period for a reason other than the event of interest. There are two types of random
censoring in this study; the first is when fathers die before the end of the study. For these
cases, the month and year of the death was used as the censoring date because the
censoring is noninformative and thus does not introduce serious bias into the model
estimates (S. Guo, Forthcoming, p. 24). These cases are retained in the analytic data set
(N = 27). The other form of random censoring is due to attrition, i.e., the mother and
father have interviews at wave 1 and wave 2 (or just at wave 1) and then drop out of the
study for an unknown reason before having a follow-up interview at wave 3 (N = 396).
More specifically, there were 206 cases with missing interviews at waves 2 and 3, and
190 cases with missing interviews at wave 3 only. These cases are treated as missing and
are dropped from the analytic sample because they run the risk of being informative; that
is, there may be some systematic pattern to study subjects who drop out early that is
related to relationship dissolution.
There is some portion of the Fragile Families sample that is left-censored; that is,
they experienced a relationship change before coming under observation. For example,
women in some of the couples reported not being in any relationship at all with the father
of the baby at the time of the baseline survey (N = 653). These cases are considered left-
censored because the relationship change (in this case separation) had already occurred.
As recommended by Paul Allison (1984), these cases can be excluded without
introducing significant bias and were omitted from the analytic data set.
32
Dependent Variable, Origin of Time, and Study Window
The event of interest in this study is whether the couple divorces or separates if
married, cohabiting, or dating. The dependent variable was created with two pieces of
information: the length of time or duration of the relationship and a dichotomous measure
indicating whether the event occurred or the case was censored (1=divorced/separated,
0=censored). Censored cases are those respondents who sustained their relationship until
the end of the study period.
The origin of time is determined by the date of the baseline interview for the
mother. The interview date was selected as the origin of time for two reasons: 1) the real
origin of time is unknown, and 2) the focus of the study is change in the relationship
following the transition to parenthood. Since interviews typically occurred in the hospital
within 24-48 hours of the birth of the baby, I use the interview as the origin of time and
examine change in the relationship from that point forward. An alternative to using the
interview date as the origin of time would be the use of a measure in the data set that
indicates the length of time the couple knew each other prior to the pregnancy. However,
this is used as a covariate instead of as a proxy for the relationship duration since it is not
possible to verify that this time is the actual length of the romantic relationship.
The unit of time to relationship change is analyzed as a discrete-time measure
calculated in the metric of months. Thus, the “duration” variable was created using the
number of months from entry into the study to the point of relationship dissolution or
censoring. The study window goes from the baseline interview for each study subject to
wave 3 of the study. The study window is 50 months long. For descriptive purposes (e.g.,
survivor functions), only the first 47 months are utilized because the last event is
33
observed in month 47; all 50 months are used in the discrete-time models. Because time
dummies for each month were necessary in the discrete-time models, the months were
grouped into thirteen intervals of three months each, to avoid the use of 49 dummy
variables (plus a reference group) in the discrete-time model. The choice of using 3-
month intervals, plus one longer interval, was based on careful examination of the data
and the distribution of the number of months contributed to the data set by respondents.
Three months are included in each of the first 12 intervals (i.e., months 1-3 = interval 1,
months 4-6 = interval 2, and so on,…months 37-50 = interval 13). The l3th interval
includes months 37-50 because of the smaller number of observations in those months
than in earlier months. This coarser way of categorizing the data serves to build a more
parsimonious model while retaining the full range of requisite months. The first interval,
months 1-3, is used as the reference group in the discrete-time models.
Independent Variables
The independent variables were selected on the basis of theoretical relevance, as
well as previous research and include fertility history, demographic factors,
socioeconomic characteristics, relationship status and quality.
Fertility History
Several questions about the parents’ childbearing outside the relationship are used
to determine multipartnered fertility. I use both mothers’ and fathers’ reports about
fertility status and use mothers’ reports about her partner’s fertility history in cases where
it is missing in order to preserve sample size since there are fewer fathers in the study. A
multiple category variable is used to capture four types of multipartnered fertility cases:
1=no MPF (reference), 2=mother-only MPF, 3=father-only MPF, and 4=both MPF.
34
Demographic Factors
For all father variables, the father’s information is used wherever possible and
supplemented with mothers’ reports about the father in order to maintain as large a
sample as possible. The mother’s race is specified as three categories: 1=White non-
Hispanic (reference), 2=Black non-Hispanic, 3=Hispanic/other race. A dummy variable
is used to indicate whether the father’s race differs from the mother’s race. Age of the
mother at the time of the baseline interview is modeled as a continuous variable. A
dummy variable is used to indicate if the father’s age differs from the mother’s age by 10
years or more because of the high correlation between mothers and fathers ages. Mothers’
religious involvement is measured using a dichotomous variable indicating frequent or
infrequent attendance at religious services. Frequent involvement was defined as
attending religious services at least several times a month and infrequent as attending
services several times per year or less. A dummy variable indicating whether the mother
has a substance abuse problem is based on the question, “In the past year, has drinking or
using drugs ever interfered with your work on a job or with your personal relationships?”
For fathers, a dummy variable is used to indicate whether the mother reports that he was
ever in jail. Family background is represented by a dichotomous variable indicating
whether the mother lived with her biological parents at age 15.
Socioeconomic Characteristics
Maternal education was specified as four different categories: 1=less than high
school, 2=high school or GED, 3=some college, or 4=college graduate (reference). Three
dummy variables, with college graduate as the reference group, were used in the models.
Due to high correlations between maternal and paternal education variables, only those
35
from the mother are included. Work status is measured with a dummy variable indicating
1 if the mother worked in the year before the birth and 0 otherwise. The father’s version
of this variable differs slightly; work status is defined by whether the father worked in the
week prior to the birth, as opposed to the year before the birth. The welfare status of the
mother is captured using a dummy variable if the respondent received income from
public assistance, food stamps, or welfare in the previous year. Finally, a dichotomous
variable indicates whether the mother or father owns versus rents the home they live in.
Relationship Status and Quality
A multiple category variable indicating whether the couple is married, cohabiting,
or dating is used to capture the relationship status of the couple at the time of birth:
1=married (reference), 2=cohabiting, 3=dating. A continuous variable measured in years
is used to capture the time that the couple knew one another prior to the birth of the baby.
Relationship quality is based on a series of variables widely used by other researchers
(M. Carlson et al., 2004; Osborne, 2005) to measure both negative and positive aspects of
the relationship at the time of birth: emotional supportiveness, conflict, violence, distrust
of the opposite sex, and attitudes about marriage. The measure of emotional support is a
scale that was based on the mean of maternal reports of how frequently (1=often,
2=sometimes, 3=never) their partners: 1) were fair and willing to compromise (reversed),
2) expressed love and affection (reversed), 3) insulted and criticized them, and 4)
encouraged and helped them (reversed) (α = .67). Responses were recoded so that a high
value indicates a high level of support. These are similar to items included in Straus’
(1979) “Reasoning” and “Verbal Aggression” scales in the Conflict Tactics Scale.
36
Conflict is represented as the mean of a six-item scale regarding the frequency
with which mothers disagreed with fathers in the last month before the birth about
money, spending time together, sex, the pregnancy, drugs or alcohol, and being faithful
(1=often, 2=sometimes, 3=never) (α = .64). Responses were all reverse coded so that a
high value indicates more frequent conflict.
Physical violence is based on how frequently both parents report being hit or
slapped during their relationship prior to the birth of the baby (1=often, 2=sometimes,
3=never). Because even sometimes hitting or slapping a partner is significant, the
variable is dichotomized to indicate any reported (i.e., often or sometimes) physical
violence. Distrust of the opposite sex is measured using two items that women report on:
1) “Men cannot be trusted to be faithful,” and 2) “In a dating relationship, a man is
largely out to take advantage of a woman.” Responses ranged from 1=strongly disagree
to 4=strongly agree, with higher values reflective of a distrustful perspective. This
measure was dichotomized so that responses of 3 or 4 (i.e., agree or strongly agree)
indicated distrust of the opposite sex.
The measure of attitudes about marriage is based on two items that ask mothers
about their level of agreement with the following statements: 1) “It is better for a couple
to get married than just live together” and 2) “It is better for children if their parents are
married.” Responses ranged from a low of 1=strongly disagree to a high of 4=strongly
agree, with higher values (3 or 4) indicative of a positive attitude toward marriage. This
variable was also dichotomized so that responses of 3 or 4 reflected a pro-marriage
attitude.
37
Data Management
Using information about the study window, the duration of the relationship,
censoring, and the event, the original dataset which was in person-level format (one row
of data per observation, N = 3,022) was converted into person-time format (multiple rows
of data for each respondent, N = 106,293). For example, a couple who came under
observation at wave 1 (month 1) and sustained their relationship until wave 3 (month 36)
would contribute 36 rows of data. A couple whose relationship ended after one and a half
years (or 18 months) would contribute 18 rows of data. The difference in these two cases
is that the second couple experienced the event while first couple was censored.
The dependent variable (1=event, 0=censored) is structured such that it attributes
the event to the respondent only in the period in which the event actually occurred. Using
the 18-month case example, the dependent variable would be coded 0 for the first 17
months and then coded 1 (event) in the 18th month (or in the 18th row). For the couple
whose relationship lasted 36 months (i.e., censored because they sustained their
relationship for the entire study window), the dependent variable would be coded as 0 on
all 36 rows of data.
Data Analysis
Descriptive Analyses
Univariate and bivariate analyses were conducted to describe the study sample.
Variables reflecting fertility history, demographics, socioeconomic status, and
relationship quality and characteristics are displayed in Table 1 using weighted
percentages to reflect births to unmarried women in large U.S. cities. Because public use
data files are utilized in this study, replicate weights provided in the data are used in place
38
of stratum and primary sample unit variables that would otherwise be used to estimate
variances. Thus weights are used to account for attrition and for the fact that respondents
were not selected independently or with equal probability. Adjustments were made for
clustering using the svy commands in Stata.
Bivariate analyses on selected variables of importance are presented in Table 2 (in
Chapter 4) using the 90th percentile of the survivor function based on Kaplan-Meier
estimates. The 90th percentile was selected because more than 50% of the couples
remained in their relationship by the end of the study window thus making the median
survival time meaningless. The Breslow (Generalized Wilcoxon) Test was used to assess
for statistically significant differences across groups. The stci procedure in Stata 10 was
used to obtain the 90th percentiles and the sts test with the wilcoxon option was used to
test for group differences.
Kaplan-Meier estimates were used to describe and explore the events of interest
by obtaining plots of the hazard functions, survivor functions, and by conducting tests of
group differences. The following explanation of hazard and survival functions provides a
formal description of these two important functions.
The study times for the subjects in the Fragile Families sample form a
distribution, known as the survival distribution (S. Guo, Forthcoming). Various functions
characterize survival distributions that serve as the basis for survival analysis. These
include: the hazard function h(t), probability density function (PDF) f(t), cumulative
distribution function (CDF) F(f), and survivor function S(t) (Allison, 1995). If T denotes
the time to the event (i.e., time when the couple “fails” or separates), these four functions
describe the probability distribution for T. Given one of these four functions, the other
39
three can be determined (Cleves, Gould, & Gutierrez, 2004a), and thus for convenience
purposes, the following description of the survival distribution focuses on the survivor
S(t) and hazard h(t) functions only.
The hazard function, also referred to as a rate, is perhaps the most central concept
in survival analysis and is defined as the instantaneous rate of failure or the instantaneous
risk that an event will occur at time t. The hazard is a quantity that takes the form of the
number of events per interval of time (similar to “miles per hour”), which is why it is
referred to as a rate (Allison, 1995). It is expressed as the instantaneous probability that
the event will occur in a specific and small interval of time, conditional upon the subject
having survived up to the beginning of the interval, divided by the time interval:
t
tTttTtth
t ∆≥∆+<≤
=→∆
}|Pr{lim)(
0
The numerator of the hazard function is the conditional probability of the event
occurring at time t + ∆t. In other words, assuming that the event has not yet occurred at
time t, what is the probability of the event occurring in the time interval of t + ∆t (S. Guo,
Forthcoming)? The hazard function can vary from zero (meaning no risk at all) to infinity
(meaning the certainty of failure at that instant) (Cleves et al., 2004a). The hazard rate
can exceed 1, although cannot be less than 0. Over the study window, the hazard function
can increase, decrease, remain steady, or change shape. The risk of event occurrence
follows the shape of the hazard function: when the risk is zero, the hazard is zero; as risk
rises with time, so does the hazard; as risk decreases, the hazard drops; if the risk is
constant, then the hazard for that particularly instant is the same.
The survivor function, S(t), measures the probability of surviving beyond time t:
)(1}Pr{)( tFtTtS −=≥=
40
The survivor function is the reverse of the cumulative distribution function, i.e., F(t) =
Pr(T < t). It provides the probability that there is no event prior to time t. The function is
equal to one at t = 0 and decreases toward zero as t goes to infinity (Cleves et al., 2004a).
An illustration of the overall length of time couples “survive” in their relationship
is presented in Figure 3 (in Chapter 4), as well as survivor curves according to
multipartnered fertility history and relationship status at birth (Figure 5 and Figure 6
respectively in Chapter 4). The sts graph procedure was used to obtain these plots.
The estimated hazard function for the overall sample and by multipartnered
fertility status is also presented. Note that the hazard functions were not estimated using
Kaplan-Meier estimates, but rather the life-table method and a kernel smoothing
procedure conducted within Stata (S. Guo, Forthcoming; StataCorp, 2007). The sts
graph, hazard procedure was used to obtain the hazard curves.
Event History Analyses
Event history analysis, and specifically, discrete-time models (Allison, 1982)
were then used to estimate the effects of multipartnered fertility history and a series of
covariates on the relationship outcomes of married, cohabiting, and dating couples.
Discrete-time survival analysis was selected to help answer the question of why
relationships change at different times for different couples and specifically to answer:
“What is the relationship between the risk of event occurrence in each time period and a
set of predictors?”
The dependent variable of interest is the discrete-time hazard of divorce or
separation for married, cohabiting, and dating couples. Couples that do not experience a
change in the relationship by the end of the study window are considered censored. The
41
logistic procedure in Stata 10 was used for the binomial regression estimations. To
address the research question, all changes to the relationship are treated the same.
Hazards are calculated to express the relative risk of divorce/separation for each
independent variable. For example, the hazard for welfare use is the relative risk of
divorce/separation for mothers on welfare versus mothers not on welfare, controlling for
all other covariates.
The discrete-time models use a binary logit model with pooled event histories,
and the probability of event occurrence as a proxy for the hazard rate, to estimate the
effect of predictor variables on the probability of relationship dissolution (Allison, 1982;
S. Guo, Forthcoming). Study participants contribute person-months to the data until they
experience the event or are censored. The model takes the following form:
iitit
it ZXP
P''
1log 21 ββα ++=
−
where P is the probability of dissolution given that couple i has not separated prior to
month t. αt is a set of t-1 dummy variables used to control for time dependence. Xi is a
vector of multipartnered fertility history variables, and Zi is a vector of time-invariant
control variables.
A total of four models were analyzed. The key predictor variable, multipartnered
fertility, is included in all the models. Model 1 also includes relationship status and the
time dummies. Model 2 adds a set of demographic control variables, and Model 3 adds
variables related to socioeconomic status. The fourth and final model adds relationship
characteristics. The selection of variables in Model 4 was based on several steps of model
building, including careful examination of individual predictors and their contribution to
42
the model, strength of theoretical significance, and percentage of missing. The preferred
model (Model 4) is the result of this process.
Finally, model-predicted survivor curves based on predicted probabilities are
presented to summarize trends over time for values from multipartnered fertility history
and relationship status at birth controlling for all other covariates at their mean. The
model-predicted survivor curves are based on a slightly modified version of Model 4
from the discrete-time survival analysis. The primary predictor variable, multipartnered
fertility, was re-categorized into a dummy variable (1=any multipartnered fertility,
0=none) in order to limit the number of curves that would be produced in the plot. In this
way, only six curves are presented: married/no MPF, married/MPF, cohabitation/no
MPF, cohabitation/MPF, dating/no MPF, dating/MPF.
The use of discrete-time survival analysis is particularly advantageous for a
number of reasons. First, it is suitable for the analysis of data collected in settings where
continuous data are not available because of cost and logistical restrictions. Second,
discrete-time survival analysis does not require special software; estimations can be made
using traditional software packages and relatively simple analysis techniques such as
logistic regression. Finally, it is a relatively intuitive approach and lends itself to research
with an application focus (Allison, 1982; Willett & Singer, 1993).
Model Evaluation and Diagnostic Procedures
Interaction Terms
Three sets of interaction terms were tested to evaluate improvement in model fit.
The terms were selected based on substantive relevance: relationship status X
multipartnered fertility, relationship status X race, welfare X multipartnered fertility. All
43
the interaction terms were non-significant at the p < .05 level. The interaction terms were
tested one at a time in the preferred discrete-time model. Once it was determined that the
term was non-significant, it was taken out and replaced with the next term, and so on
until each of the three interaction terms was tested. Since inclusion of interaction terms in
a model that is not significant at traditional levels of statistical significance tends to
increase the standard errors without changing the point estimates, the terms were omitted
(Hosmer & Lemeshow, 2000).
Multicollinearity
Once the final selection of independent variables was complete, a test for
multicollinearity was conducted by examining the variance inflation factor (VIF). The vif
procedure in Stata was used for this assessment. Because VIF was tested using ordinary
least squares regression, the nature of censoring on the dependent variable was ignored in
this procedure. None of the VIF values exceeded 10, suggesting that multicollinearity
was unproblematic (Kutner, Nachtsheim, & Neter, 2004). The VIF values ranged from a
low of 1.03 (mothers’ substance abuse) to a high of 3.64 (less than a high school diploma
for mothers) with an average VIF of 1.56.
Model Assessment
Three measures of model fit were used to evaluate the proposed models. As seen
at the bottom of Table 3 (in Chapter 4), likelihood ratio tests were used for overall model
evaluation and model chi-square and pseudo-R2 were used for goodness-of-fit. Generally,
a higher pseudo-R2 suggests better model fit. Pseudo-R2’s, however, should only be used
when predicting the same outcome on the same dataset with the same predictor variables
(UCLA Academic Technology Services, 2008). Unfortunately, there are no available
44
corrective measures for these indices for use with survey data; thus, they should be
interpreted with some caution.
Influential Observations
A graph of Cook’s D was obtained for all the independent variables in order to
assess the influence on parameter estimates of each individual observation. As seen in
Appendix A, the plot indicates that only one or two cases are apart from the rest of the
observations and thus their influence is likely to be minimal, so they were retained in the
sample.
45
CHAPTER 4
RESULTS
Univariate and Bivariate Results
Descriptive statistics for the entire sample and separately by initial relationship
status are reported in Table 1. Dating couples were much more likely than cohabiting and
married couples to end their relationship, 70.4% versus 35.6% and 13.3% respectively.
Cohabiting and dating couples have considerably higher rates of multipartnered fertility
than married couples overall. Married mothers are more often white, whereas dating and
cohabiting mothers are more often black and Hispanic/other race, respectively. In
approximately 15% of the sample the father’s race differs from the mother’s race.
Cohabiting mothers are the least religious among all couple types.
The mean age of mothers is 27 years old. The mean age of dating mothers (22.6)
is lower than it is for cohabiting (24.6) and married (29.5) mothers. A small percentage
(8.7%) of fathers differ in age from the mother by 10 or more years. Mothers who date
have higher rates of substance abuse than cohabiting and married mothers. Overall, more
than half the mothers (55%) lived with their own parents at age 15.
Approximately 23% of the mothers have less than a high school diploma whereas
30% have a high school diploma or GED. Seventy-three percent of all mothers worked in
the year prior to the baby’s birth while 90% of fathers worked in the week before the
birth. Approximately 46% of dating mothers and 41% of cohabiting mothers received
46
Table 1. Descriptive Statistics for Couples by Rel ationship Status
Total N=3,022 Percent /
Mean (SD)
Married N=813
Percent / Mean (SD)
Cohabiting N=1,329 Percent /
Mean (SD)
Dating N=880
Percent / Mean (SD)
Dependent VariableRelationship DissolutionSeparation 24.9 13.3 35.6 70.4No change (censored) 75.2 86.7 64.4 29.7Independent VariablesMultipartner Fertility HistoryNo MPF children 66.5 78.2 42.7 43.0MPF (mother) 10.1 6.6 18.6 14.8MPF (father) 13.4 10.4 20.2 18.4MPF (both) 10.1 4.9 18.6 23.8DemographicsMother's race
White 42.7 51.9 28.6 16.3Black 20.0 10.2 31.3 55.3Hispanic/other 37.2 37.9 40.1 28.4
Father's race differs from mother 14.7 13.6 17.2 16.2Mother's religiousness 40.0 43.4 29.0 40.0Mother's age 27.6(5.9) 29.5(3.4) 24.6(7.6) 22.6(8.6)Father is 10 years older/younger than mother 8.7 6.9 11.2 14.2Mother's substance abuse problem 1.1 0.3 1.9 4.0Mother lived with both parents at age 15 55.3 63.5 43.2 31.0Father ever in jail (mother's report) 16.1 7.7 31.6 35.6Socioeconomic StatusMother's education
<High school 23.4 15.9 36.4 43.0High school/GED 30.4 24.6 44.0 38.8Some college 19.8 21.1 18.1 15.9College or more 26.4 38.5 1.5 2.3
Mother worked in year before birth 73.0 74.7 73.4 62.7Father worked in week before birth 90.4 95.8 84.0 71.6Mother on welfare 22.0 11.9 40.6 45.7Mother or father owns home 47.2 57.2 21.8 35.6Relationship CharacteristicsYears known each other 7.4(5.6) 9.0(3.4) 4.3(6.0) 3.7(5.4)Mother feels supported (1-3) 2.7(.3) 2.7(.2) 2.7(.4) 2.6 (.5)Mother reports conflict (1-3) 1.4(.3) 1.3(.2) 1.4(.5) 1.5(.6)Mother reports violence 1.6 1.8 1.2 1.5Mother distrusts men 20.6 17.3 24.3 32.8Mother has pro-marriage attitude 85.0 90.8 73.8 71.9Note: N's are unweighted; percentages and means are weighted.
welfare assistance, compared to only 12% of married mothers. A considerable proportion
of respondents also owned their own home (47.2%).
47
Table 1 shows that parents who live together or date have known each other much
shorter periods of time than married parents (4.3% and 3.7% vs. 9%). Overall, mothers
report high levels of support from the father (2.7 on a scale of 1-3) and low levels of
conflict (1.4 on a scale of 1-3). Less than 2% of mothers reported physical violence
perpetrated by the father. Dating mothers have higher rates of distrust toward men (33%)
than cohabiting (24%) and married mothers (17%). Finally, all couple types tend to have
rather high rates of pro-marriage attitudes ranging from a low of 72% among dating
mothers to a high of 91% among married mothers.
Table 2 presents the 90th percentiles of the survivor function for selected key
variables, including multipartnered fertility, relationship status at birth, race, education,
welfare, and violence. The 90th percentiles for multipartnered fertility are 8 months for
couples without MPF, 4 months for mothers with MPF, and 3 months each for fathers
with MPF and for couples that both have MPF. The 90th percentile can be interpreted as
the length of time it takes for 10% of the couples to divorce or separate. For example, it
takes longer (8 months) for couples without MPF children to end their relationship than
for couples in which both the mother and father have MPF (3 months). This finding
supports Hypothesis 1 by showing that couples with multipartnered fertility have faster
rates of separation than those without multipartnered fertility. The Breslow Test shows
that these differences in the survivor functions for MPF are significant, χ2 (3, N = 1165) =
158.79, p < .001. Despite these initial findings, the bivariate tests do not control for other
covariates as will be done in the multivariate modeling procedure.
48
Additional findings from the 90th percentile of the survivor function indicate that
married couples sustain their relationship much longer than both cohabiting and dating
mothers, χ2 (2, N = 1165) = 569.05, p < .001. This supports Hypothesis 2, which
predicted that non-married couples would have a faster rate of dissolution than married
couples.
VariableMultipartner Fertility HistoryNo MPF children 9 ***MPF (mother) 4 ***MPF (father) 3 ***MPF (both) 3 ***Relationship Status at Child's BirthMarried 33 ***Cohabiting 6 ***Dating 3 ***DemographicsMother's race
White 12 ***Black 3 ***Hispanic/other 5 ***
Socioeconomic StatusMother's education
<High school 3 ***High school/GED 3 ***Some college 6 ***College or more 30 ***
Mother on welfare 3 ***Relationship CharacteristicsMother reports violence 3 ******p < .001, Breslow (Generalized Wilcoxon) Test
Table 2. 90 th Percentile of the Survival Function of Selected Variables
Number of Months
Additional results show that white mothers compared to minority mothers sustain their
relationships longer (12 months versus 3 and 5 months for black and Hispanic/other race
respectively) χ2 (2, N = 1165) = 181.37, p < .001. Mothers with a college education tend
49
75th Percentile of the Survivor Function (Month 16)
0.00
0.25
0.50
0.75
1.00
Sur
vivo
r F
unct
ion
0 10 20 30 40 50Months
* Based on unweighted data
Survivor Function of Relationship Status*
to sustain their relationships far longer than those with less education (31 months for
college goers versus 3 or 4 months for every other category) χ2 (3, N = 1165) = 150.38, p
< .001. Relationships end earlier among mothers on welfare compared to those not
needing assistance (3 months versus 5 months), χ2 (1, N = 1165) = 88.3, p < .001. Finally,
when violence is reported by the mother, the relationship tends to end sooner (3 months
versus 4 months) χ2 (1, N = 1165) = 15.3, p < .001.
Survivor and Hazard Functions
In Figure 3, we see the survivor function for the entire sample of couples. The
survivor curve shows that at the start of the study window, or time 0, all couples are in
their relationship with no events of dissolution. Over time, the estimates indicate a
Figure 3. Survivor function of relationship dissolution
50
steadily decreasing rate of remaining in a relationship after having a child. In month 3,
the estimated probability that a couple will remain in the relationship drops from .98 to
.90, the largest decline observed within a one-month span.
As indicated earlier, the median survival time is not observable, meaning that
more than 50% of the couples sustained their relationship by the end of the study
window. In month 16, however, we observe the 75th percentile of the survivor function,
indicating that three-fourths of the sample have “survived” or remained in the
relationship up to that time.
Figure 4 presents the hazard plot of relationship dissolution for all couples in the
study sample. The hazard function provides information about the speed or rate of change
for the event of interest.
Figure 4. Hazard function of relationship dissolution
.01
.012
.014
.016
Haz
ard
Fun
ctio
n
0 10 20 30 40
Months* Based on unweighted data
Smoothed Hazard Estimate of Relationship Dissolution*
51
Notice the high spike at the beginning of the window; this indicates a fast speed of
change at that time. This spike corresponds to the large drop observed in the survivor
function around month three. Then as the risk of dissolution declines over time, the
hazard drops. Starting at approximately month 24 or two years after birth, there is a slight
increase in the hazard for six months, after which it declines again. While the hazard plot
tells a similar story to the survivor function, it also suggests that the speed with which
relationships change is not constant over the study period.
In Figures 5 and 6, we see the survivor function again but this time according to
multipartnered fertility history and relationship status, respectively. Figure 5 presents
survivor curves to provide a sense of the sustainability of relationships according to the
study’s primary predictor variable: multipartnered fertility history.
Figure 5. Survivor function by multipartnered fertility history
0.00
0.25
0.50
0.75
1.00
Sur
vivo
r F
unct
ion
0 10 20 30 40 50Months
No MPF Mother MPFFather MPF Both MPF
Survivor Function by Multipartner Fertility
52
The curves are very similar in the first three months after birth followed by a decrease for
couples when they both have MPF and when only the father has MPF. The survivor
function for couples without MPF (the top curve) suggests that they maintain their
relationship more than the other couple types. On the whole, those with children from
previous relationships are most at risk for separation compared to those couples who
share only biological children together, χ2 (3, N = 1165) = 158.79, p < .001.
In Figure 6, the curve for married couples (top) reflects the slowest rate of change
while the curves for cohabiting (middle) and dating (bottom) indicate faster speeds of
change. Up to month three, the survivor curves appear similar with little evidence of
difference by relationship status.
At month three, however, there is a significant drop in the survivor curve for
dating couples. The median survival time for this group is month 20, meaning that 50%
of the cases separated by month 20 and 50% sustained their relationship beyond this
point. The plot clearly shows that the proportion of couples who successfully sustained
their relationship the most are married, followed by cohabiting couples, and finally dating
couples. The 90th percentile of the survivor function across these three groups differs
significantly, χ2 (2, N = 1165) = 569.05, p < .001. Visual inspection of the survivor curves
in Figures 3 and 4 provide additional support for the first two hypotheses; that is, MPF
couples appear to be at greater risk for dissolution relative to non-MPF couples
(Hypothesis 1) and further, nonmarried couples are at greater risk for separation than
married couples (Hypothesis 2).
53
0.00
0.25
0.50
0.75
1.00
Sur
vivo
r F
unct
ion
0 10 20 30 40 50
Months
MarriedCohabitingDating
Survivor Function by Relationship Status
Figure 6. Survivor function by relationship status
Finally, in Figure 7 the hazard function is revisited, this time by multipartnered
fertility status. Of particular importance is the high hazard rate early on in the study
window when both parents have multipartnered fertility and when only the father has
multipartnered fertility. These compare to the hazard curve for mother-only
multipartnered fertility cases, which has a low and fairly constant hazard until
approximately 23 months when it starts to rise. The hazard is the lowest and most
constant for cases in which neither parent has multipartnered fertility.
Multivariate Model Results
Event history models are used to better understand the risk of dissolution using
multipartnered fertility and a variety of socioeconomic and demographic covariates. I
54
used binomial logistic regression to estimate the probability of breaking up relative to
sustaining the relationship. Table 3 presents the odds ratios of dissolution relative to
staying in the relationship for all couple types. The models are based on the weighted
data since analyses not shown here indicated substantial differences between the
weighted and unweighted results.
Figure 7. Hazard function of relationship dissolution by multipartnered fertility history
The analyses show that a couple’s history of multipartnered fertility was consistently
associated with the risk of relationship dissolution. Model 1 estimates the effects of
multipartnered (father, mother, and both versus neither) on relationship dissolution
controlling for relationship status. The first model shows that fathers with multipartnered
.01
.015
.02
.025
.03
Haz
ard
Fun
ctio
n
0 10 20 30 40Months
No MPF Mother MPFFather MPF Both MPF
Smoothed Hazard Estimate of Relationship Dissolution by MPF
55
VariablesMultipartner Fertility HistoryNo MPF children (ref)MPF (mother) 1.287 1.581 1.724 1.687MPF (father) 2.542 ** 2.720 *** 3.084 *** 3.108 ***MPF (both) 1.548 † 1.876 ** 2.104 ** 2.554 **Relationship Status at Child's BirthMarried (ref)Cohabiting 2.665 ** 1.870 * 1.909 † 2.286 *Dating 8.383 *** 5.101 *** 5.298 *** 5.970 ***DemographicsMother's race
White (ref)Black 1.321 1.353 1.178Hispanic/Other race 0.779 0.719 0.713
Father's race differs from mother 0.910 0.926 1.070Mother's religiousness 1.071 1.060 1.145Mother's age 0.957 † 0.957 † 0.935 *Father is 10 years older/younger than mother 0.739 0.674 0.695Mother's substance abuse problem 1.046 1.016 0.849Mother lived with both parents at age 15 1.466 1.507 1.536Father ever in jail (mother's report) 1.680 ** 1.690 * 1.544 †
Socioeconomic StatusMother's education
<High school 0.984 0.881High school/GED 0.719 0.616Some college 0.711 0.629College or more (ref)
Mother worked in year before birth 0.697 0.705Father worked in week before birth 1.160 1.149Mother on welfare 0.854 0.766Mother or father owns home 0.943 0.952Relationship CharacteristicsYears known each other 1.031Mother feels supported (1-3) 0.327 **Mother reports conflict (1-3) 1.347Mother reports violence 0.623Mother distrusts men 0.859Mother has pro-marriage attitude 1.118Time IntervalsInterval 1 (months 1-3) (ref)Interval 2 (months 4-6) 0.397 † 0.394 † 0.399 † 0.402 †
Interval 3 (months 7-9) 0.426 ** 0.427 ** 0.435 * 0.446 *Interval 4 (months 10-12) 0.617 0.622 0.638 0.664Interval 5 (months 13-15) 0.376 * 0.382 * 0.394 * 0.404 †
Interval 6 (months 16-18) 0.200 *** 0.203 *** 0.209 *** 0.215 ***Interval 7 (months 19-21) 0.360 † 0.369 † 0.379 0.394Interval 8 (months 22-24) 0.487 † 0.508 † 0.523 † 0.547Interval 9 (months 25-27) 0.457 0.476 0.490 0.510Interval 10 (months 28-30) 0.235 ** 0.246 ** 0.254 ** 0.270 *Interval 11 (months 31-33) 0.408 0.430 0.444 0.476Interval 12 (months 34-36) 0.111 *** 0.115 *** 0.119 *** 0.128 ***Interval 13 (months 37-50) 0.211 * 0.222 * 0.227 * 0.231 *Model Chi-Square (df) 928.89(17) *** 1050.51(26) *** 1064.02(33) *** 1158.64(39) ***
Pseudo-R 2 0.095 0.107 0.108 0.118
Likelihood Ratio χ2 (df) 121.62(9)*** 13.50(7)†
102.57(9)***Note: Estimates based on weighted data. Fit statistics based on unweighted data. †p < .10, *p < .05, **p < .01, ***p < .001
Table 3. Odds Ratios from Discrete-Time Event Hist ory Model Predicting Relationship Dissolution vs. S taying Together (N = 36,401 Person-Periods)
Model 1 Model 2 Model 3 Model 4
56
fertility had more than two and a half times the risk of dissolution compared to cases
without multipartnered fertility. Furthermore, although it only reached significance at the
10% level, couples who both had multipartnered fertility were 55% more likely to end
their relationship than couples without children from a previous relationship. Model 1
also shows that a couple’s relationship status at the time of birth is strongly associated
with dissolution: cohabiting couples were more than two and a half times as likely to
break up and dating couples eight times as likely to break up as their married
counterparts.
Model 2 takes into account demographic features including race, religiosity, age,
substance abuse of the mother, whether the mother lived her biological parents at age 15,
and incarceration history of the father. Results show that fathers with multipartnered
fertility and couples who both have multipartnered fertility are still at an increased risk
for dissolution (2.7 times and 1.9 times respectively) compared to their counterparts
without multipartnered fertility. These odds ratios are just slightly larger than in Model 1,
and couples who both have multipartnered fertility now reach significance at the p < .01
level.
Relationship status continues to be associated with dissolution in Model 2 but
with lower odds (5.1 for dating couples and 1.9 for cohabiters) once controlling for
demographic characteristics. Two additional characteristics show evidence of being
associated with dissolution: mother’s age and father’s incarceration history. Model 2
shows that as age increases the risk of dissolution decreases by 4.3%, and fathers with a
history of incarceration are more than one and a half times as likely to end their
relationship as their counterparts without any incarceration history.
57
In Model 3, socioeconomic characteristics are added to the model and include
mother’s education, work history for both parents, mother’s welfare status, and whether
the couple owns or rents their home. Similar to the effect observed from adding
additional controls in Model 2, the odds of dissolution for fathers with multipartnered
fertility and for couples who both have multipartnered fertility continues to rise. The risk
of dissolution for fathers with multipartnered fertility is now more than three times that of
couples without multipartnered fertility, and more than two times that of couples who
both have multipartnered fertility children. Relationship status maintains significance
(although only at the 10% level now for cohabiting couples) and the odds ratios remain
approximately the same (2 times the risk of dissolution for cohabiters and more than 5
times the risk for dating couples compared to married couples). Mother’s age and father’s
incarceration history go unchanged, and none of the socioeconomic characteristics appear
to be associated with dissolution. Despite the fact that these variables do not make a
statistical contribution to the model, they are kept in Model 3 and Model 4 as important
control variables. The nonsignificant socioeconomic variables suggest that Hypothesis 4
should be rejected; economically disadvantaged couples do not appear to be at higher risk
for dissolution relative to economically more stable couples all else being equal.
Finally, in Model 4 a set of variables that control for relationship characteristics
are added. Continuing with the same pattern observed in Models 1-3, Model 4 increases
the difference in the risk of dissolution between fathers and couples with multipartnered
and nonmultipartnered fertility families. Fathers with children from previous
relationships have over three times the risk of separation compared to their counterparts
without multipartnered fertility, and couples who both have multipartnered fertility now
58
have over two and a half times the risk of dissolution. Similarly, Model 4 increases the
difference in risk of dissolution between unmarried and married couples. The odds were
2.28 for cohabiters and 5.97 for dating couples.
Finally, relationship characteristics, with just one exception, explain very little of
the risk of dissolution. The only significant variable was mother’s feelings of support
from the father, and as expected, every one-unit increase in feelings of support decreases
the odds of dissolution by 67%. This finding lends only partial support to Hypothesis 5:
couples with higher levels of relationship supportiveness and lower levels of violence and
conflict have lower odds of dissolution than couples with poor relationship quality. As it
turned out, violence and conflict were not associated with dissolution in this model with
this sample.
In order to carry out the test for Hypothesis 3 (i.e., couples with multipartnered
fertility from the father face greater risk of dissolution than couples with multipartnered
fertility from the mother), Model 4 was re-analyzed using a different reference group for
the multipartnered fertility variable. Model 4.1 in Table 4 includes all of the same
variables as Model 4 but uses “father’s multipartnered fertility” as the reference group
instead of “no multipartnered fertility” in order to make a direct comparison between
mothers and fathers with multipartnered fertility. Results show that couples in which both
parents have multipartnered fertility, as well as couples where only the mother has
multipartnered fertility, are not at higher risk for relationship dissolution than couples
where only the father has multipartnered fertility, when controlling for all other
covariates. This finding leads to a rejection of Hypothesis 3; there are, in fact, no
apparent differences in the risk for dissolution between mothers and fathers with
59
VariablesMultipartner Fertility HistoryNo MPF children 0.322 ***MPF (mother) 0.543MPF (father) (ref)MPF (both) 0.822Relationship Status at Child's BirthMarried (ref)Cohabiting 2.286 *Dating 5.970 ***DemographicsMother's race
White (ref)Black 1.178Hispanic/Other race 0.713
Father's race differs from mother 1.070Mother's religiousness 1.145Mother's age 0.935 *Father is 10 years older/younger than mother 0.695Mother's substance abuse problem 0.849Mother lived with both parents at age 15 1.536Father ever in jail (mother's report) 1.544 †
Socioeconomic StatusMother's education
<High school 0.881High school/GED 0.616Some college 0.629College or more (ref)
Mother worked in year before birth 0.705Father worked in week before birth 1.149Mother on welfare 0.766Mother or father owns home 0.952Relationship CharacteristicsYears known each other 1.031Mother feels supported (1-3) 0.327 **Mother reports conflict (1-3) 1.347Mother reports violence 0.623Mother distrusts men 0.859Mother has pro-marriage attitude 1.118Time IntervalsInterval 1 (months 1-3) (ref)Interval 2 (months 4-6) 0.402 †
Interval 3 (months 7-9) 0.446 *Interval 4 (months 10-12) 0.664Interval 5 (months 13-15) 0.404 †
Interval 6 (months 16-18) 0.215 ***Interval 7 (months 19-21) 0.394Interval 8 (months 22-24) 0.547Interval 9 (months 25-27) 0.510Interval 10 (months 28-30) 0.270 *Interval 11 (months 31-33) 0.476Interval 12 (months 34-36) 0.128 ***Interval 13 (months 37-50) 0.231 *Model Chi-Square (df) 1158.64(39) ***
Pseudo-R 20.118
Note: Estimates based on weighted data. Fit statistics based on unweighted data. †p < .10, *p < .05, **p < .01, ***p < .001
Table 4. Odds Ratios from Discrete-Time Event Hist ory Model Using Alternative Reference Group for MPF (N = 3 6,401 Person-Periods)
Model 4.1
60
multipartnered fertility. As expected, however, couples without multipartnered fertility
are 68% less likely to experience dissolution compared to fathers with multipartnered
fertility.
In each of the four models, controls for time are included (Intervals 1-13). These
dummy variables describe the shape of the baseline logit hazard function and indicate
whether risk for relationship dissolution increases, decreases, or remains steady over time
(Singer & Willett, 2003). In general, the odds ratios show that the risk of relationship
dissolution decreases over time. There is a slight spike early on in Interval 4 and then the
risk flattens out until the last two intervals (12 and 13) when the risk decreases.
Sensitivity Analyses
As discussed in the Methods section, there are 396 cases that were dropped from
the analytic data set due to attrition (random censoring) at wave 2 or wave 3. Specifically,
there were 206 cases with missing interviews at waves 2 and 3 and 190 cases with
missing interviews at wave 3 only. All of these cases were initially dropped because they
run the risk of being informative; that is there could be a systematic pattern to
respondents who drop out early that is related to the event of relationship dissolution.
Because there is no formal way to test if these dropped cases are informative, a
sensitivity analysis was conducted on the cases with missing at wave 3 only (N = 190).
(The 206 cases with missing at waves 2 and 3 were still excluded.) In this way, the 190
cases are treated as censored because they did not experience the event and were no
longer under observation by the end of the study period. The final model (Model 4) from
the original set of discrete-time survival analyses was re-analyzed with these cases
included. Results of the sensitivity analysis are presented in Appendix B, Table 5
61
(alongside the original Model 4 results) and indicate no substantive differences in p
values and odds ratios, as would be expected since none of these cases experienced the
event.
A second sensitivity analysis was conducted to assess for possible bias that might
have been caused by including father information on certain variables when most of the
data on the characteristics of the couples are derived from mother-provided information.
These five variables included: multipartnered fertility, whether the mother and father
differed in race, whether there was an age difference of more than ten years between the
mother and father, whether the father worked, and whether the couple owned or rented a
home. The discrete-time models were modified to exclude these variables.
The results of this modified model are presented in Appendix C, Table 6
(alongside the original Model 4 results). There are small differences between the original
Model 4 results which included the father information and the modified model results
without this information but no substantive changes in the interpretations of variables that
contribute to the model. Thus, exclusion of this father information thus does not appear
warranted.
Model Predicted Survivor Curves
Next, model predicted survivor curves were generated to demonstrate graphically
the relative risk of dissolution among couples that might be particularly disadvantaged;
that is, those who are both unmarried and have multipartnered fertility. Using the
parameter estimates from Model 4 for multipartnered fertility and relationship status,
62
while controlling for all other covariates at their mean, survivor curves for each
combination of multipartnered fertility and relationship status were produced5.
As seen in Figure 6, the risk of break-up among dating couples with
multipartnered fertility far outweighs the risk of other combinations. In particular,
married couples without multipartnered fertility appear to face the least risk among all
groups, followed by cohabiting couples with multipartnered fertility, married couples
without multipartnered fertility, cohabiting with multipartnered fertility, and finally,
dating without multipartnered fertility.
Figure 6. Model predicted survivor curves
5 Twelve curves would have been produced had the original form of MPF been used (four categories: neither-MPF, father-MPF, mother-MPF, both-MPF), along with relationship status (three categories: married, cohabiting, and dating). Instead, Model 4 from the multivariate results was re-analyzed using a collapsed (dummy) version of multipartnered fertility, i.e., 1 = any multipartnered fertility, 0 = no multipartnered fertility) thus producing only six curves.
Married/No MPF
Cohabiting/No MPF
Married/MPF
Cohabiting/MPF
Dating/No MPF
Dating/MPF
.2
.4
.6
.8
1
Pro
port
ion
Rem
aini
ng in
Rel
atio
nshi
p
0 5 10 15Intervals (1-13)
Impact of Multipartnered Fertility and Relationship Status on Dissolution
63
CHAPTER 5
DISCUSSION AND CONCLUSION
This dissertation examined the timing and effects of multipartnered fertility on the
relationship stability of married, cohabiting, and dating couples after the birth of a baby.
While previous research has explored various aspects of the consequences and causes of
relationship instability, the role that multipartnered fertility plays in destabilizing
romantic unions is still an understudied area. Moreover, we know very little about the
timing of relationship breakups in the context of the transition to parenthood, and
virtually nothing about the timing of dissolution among dating couples bearing children.
This study makes a contribution to the research literature in three ways: 1) it included not
only married and cohabiting couples as is commonly done in relationship research, but
dating couples as well; 2) it examined the timing of dissolution during the first three
years after birth; and 3) it examined the role of multipartnered fertility in explaining
relationship dissolution. To do this, the study utilized three waves of data from the
Fragile Families and Child Wellbeing Study. Kaplan-Meier estimates and discrete-time
event history models were used to explore the research questions of interest. In this
chapter, the major findings of the study are summarized, a discussion of the study’s
strengths and limitations is presented, and, finally, implications for research, practice, and
policy are discussed.
64
Summary of Major Findings
The Timing and Rate of Relationship Dissolution
Given that a limited number of studies have examined the timing of relationship
dissolution among unmarried couples after childbirth, the current study began by
examining the pattern of leaving the relationship during the first several years after
having had a baby6. The estimates suggest a steadily decreasing rate of remaining in the
relationship over the study period. In other words, during the first several years after
having had a baby, the proportion of couples sustaining their relationship gradually
decreases. By the end of the one-year mark, 22% of couples have ended their
relationship, leaving 78% of the unions intact7. By the end of the study (47 months long),
43% of the couples have separated. This study found that romantic unions are not only
vulnerable to dissolution over time, but are especially at risk of separation in the period
immediately following birth, i.e., within the first several months. The high point in the
hazard function (Figure 4) reflects a fast speed of change during this period.
As hypothesized, couples with multipartnered fertility are more at risk for
separation than couples who share only biological children. This was specifically the case
when the father and both the mother and father had children from previous relationships.
An elevated risk of dissolution among fathers with children in other households seems
quite plausible and is similar to what has been found in previous research (M. Carlson et
al., 2004; Guzzo, 2009). The complexity that comes with sharing scarce resources with
6 This study focused on literature using U.S. samples because family structure and family formation patterns in Western European and non-European English-speaking countries tend to differ from demographic changes in the United States due to cultural and social differences (Cherlin, 2009). 7 Based on unweighted Kaplan-Meier estimates.
65
multiple families can cause considerable tension throughout the family system and
especially within the mother-father dyad.
Multipartnered fertility burdens the father financially, making it difficult to meet
child support obligations (Meyer et al., 2005). It also potentially undermines a father’s
investment in his current role as a partner and parent, which can act to exacerbate the
problems in what is an already tenuous relationship (M. Carlson & Furstenberg, 2007). It
intensifies mothers’ sense of insecurity and jealousy because of possible romantic ties to
prior partners (Edin & Kefalas, 2005). Finally, it negatively affects children’s well-being.
For the time that the father is present, his commitment to the children may be low and his
attention splintered. He may also distract the mother and inadvertently take her time and
energy away from child rearing (Cherlin, 2009). And finally, if the relationship ends (as
this study indicates it might), the child must adjust to yet another transition when the
father exits.
As hypothesized, the study also found that dating and cohabiting couples are at
higher risk for separation than their married counterparts. This mirrors previous research
that has found that the odds of family stability are considerably lower for cohabiting
mothers than married mothers (Manning et al., 2004). The findings from this study differ
from those of previous research, however, in that very few studies have included dating
couples (for exceptions see M. Carlson et al., 2004; Hsueh, Morrison, & Doss, 2009).
This is perhaps a reflection of their lower prevalence in the childbirth population or a
limitation in availability of quality data on this group. Despite the possible data
limitations, this is an important group to study. In some subgroups of the dating
population, such as young, low-income African Americans, the fluid boundaries
66
characteristic of dating relationships often result in serial relationships and pregnancy
with little long-term commitment from one or both partners, making this group especially
vulnerable (Edin & Kefalas, 2005). If children were not involved, the effects of such
courtships might be negligible. Unfortunately, this is rarely the case, and children raised
without both parents are generally at a significant disadvantage (Amato & Booth, 1997;
McLanahan & Sandefur, 1994; Wen, 2008). Dating couples with children warrant
attention in the research, policy, and practice domains.
Discrete-Time Hazard Models
Findings from multivariate discrete-time hazard models suggest that an
association between multipartnered fertility and relationship instability holds when other
factors are taken into account: multipartnered fertility from the father and from both
parents is associated with a higher risk of dissolution compared to couples without any
children from previous relationships, all things being equal. Dating and cohabiting
couples are also more vulnerable to separation than are married couples. Finally, younger
mothers are more likely to separate, as are couples in which the father has a history of
incarceration.
These findings are similar to those of a recent study by Guzzo (2009), in which
she examined the effects of marital intentions and other covariates on the relationship
outcomes of cohabiting couples. Although she analyzed models separately for men and
women, she still found that when fathers had children from a prior relationship it
significantly increased the odds of dissolution. Nevertheless, not all studies have found
similar effects. Osborne et al.’s study (2007) found no effects of multipartnered fertility
on separation regardless of the origin (mother or father). However, similar to this study,
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Osborne found that cohabiting couples were at an increased risk for relationship
dissolution relative to married couples. The difference in our findings may be driven by
the fact that the present study’s sample included dating couples, who while having similar
rates of multipartnered fertility compared to cohabiting couples, have considerably higher
rates of dissolution than cohabiting or married couples. It is feasible then that dating
couples with multipartnered fertility are increasing the likelihood of dissolution compared
to other relationship types.
Another key question of interest in this study was whether there are differences in
relationship instability between fathers and mothers who have multipartnered fertility. In
other words, is the risk of dissolution different when the father has had children with
other mothers than when the mother has had children with other fathers? If couples face a
higher risk of instability when they have children from previous romances generally, then
knowing the answer to this question could have important implications for program
developers and practitioners when structuring interventions for couples regarding what
and who to target. The study hypothesized that fathers compared to mothers with
multipartnered fertility (as opposed to fathers compared to couples without
multipartnered fertility) pose a greater risk of separation. Such a finding would suggest
that programs need to focus on fathers rather than mothers with children from prior
relationships. As shown in Table 4, however, this is not the case. Although the odds are
lower for mother-multipartnered fertility cases compared to father cases, the difference is
not statistically significant and hence does not support the study’s hypothesis regarding
fathers versus mothers.
68
One possible explanation for the rejection of Hypothesis 3 is that the relationship
between multipartnered fertility and dissolution is similar enough in mothers and fathers
such that any actual difference cannot be observed. This does not in any way, however,
minimize or run counter to this study’s findings that father-only MPF and joint-MPF
cases (i.e., both mother and father) have a significant positive effect on dissolution. This
is a different research question and suggests that multipartnered fertility is a risk factor
for dissolution compared to not having multipartnered fertility; instead, the rejection of
Hypothesis 3 simply suggests that father-only MPF does not present a higher risk factor
for dissolution compared to mother-only MPF.
Unexpectedly, this study found that socioeconomic variables did very little to
explain relationship dissolution, thus rejecting the fourth hypothesis of the study:
economically disadvantaged mothers do not appear to be at higher risk for dissolution
than more advantaged mothers. This aligns with the findings from Orthner et al.’s (2004)
cross-sectional research on low-income families who were determined to be as effective
at building relationship strengths as middle income families and developed effective
strategies to sustain their relationships and to meet their needs. While the study did not
examine relationship dissolution specifically, it suggests that poverty does not necessarily
drive all negative family outcomes, including relationship dissolution, and that low-
income couples have great potential to build lasting relationships and cohesive families.
Another explanation for the non-significant findings is the specific selection of
socioeconomic control variables. Previous quantitative and qualitative research has
suggested that men’s earnings play a crucial role in predicting relationship stability (M.
Carlson et al., 2004; Charles et al., 2006; Edin & Kefalas, 2005; Lewin, 2005). However,
69
the current study did not include measures of income or education for men because of the
large proportion of missing values on these variables. While this could possibly account
for the study’s findings, other research has found that women’s earnings play a more
important role in explaining separation among dating couples compared to men’s
earnings, thus suggesting that the selection of variables was appropriate. For example,
Osborne (2005) found no effect on stability based on income from fathers but significant
effects from mothers’ incomes: higher levels of maternal income were associated with
lower risks of dissolution.
The finding that welfare does not play a role in dissolution may also partially be
explained by the definition of the variable in the Fragile Families study: a respondent was
considered a welfare recipient if they received “public assistance, welfare, or food
stamps.” This broad interpretation of welfare use, as opposed to a measure that uses a
more stringent definition based on TANF (cash assistance) alone, has more than likely
captured couples with fewer risk factors than couples might otherwise have if the
measure had been more narrowly defined. In other words, because of more lenient
eligibility criteria for Food Stamps there may be couples included under welfare who are
offsetting the negative effects of poverty that we would otherwise expect to find.
Another challenge in interpreting the lack of findings related to welfare
participation is that the sample as a whole is of low-income. Thus, the non-welfare
households are also at some risk of living at the economic margin, making them
potentially more similar to the welfare using households compared to a sample that may
have included more higher income families.
70
The study’s finding that welfare is not associated with relationship dissolution
may also be a reflection of previous research by Moffit (2000) on welfare and female
headship. Using longitudinal data, he found little evidence of an association between
welfare benefit levels and female headship, especially among black women, suggesting
that welfare may not discourage the formation of two-parent families as previously
thought. This combination of findings suggests that future research should attempt to
clarify the relationship between men and women’s socioeconomic status and relationship
instability and should utilize other economic measures besides individual-level welfare,
e.g., average state welfare payments, income.
Another noteworthy finding of the study is that mothers who reported feelings of
support by the father had a lower risk of separation than their counterparts who did not
share in this experience. This partially supports the study’s final hypothesis that mothers
with high levels of support and low levels of conflict and violence would be less likely to
exit the relationship. Results indicate that while it is true that supportive relationships
have higher chances of enduring, conflict and violence did not help explain the
mechanism underlying relationship dissolution.
This coincides with research by Osborne et al. (2007), who found similar
associations between support and violence and relationship dissolution. The lack of
significance between violence and relationship stability is surprising but may be
explained by the limited strategy used to capture this aspect of a relationship: the measure
is based on a single question that asks whether the father hits or slaps the mother. The
true nature of physically violent relationships can take many forms and so the actual
effect of violence on the union may be biased downward. Furthermore, because mothers
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are likely to underreport violence the parameter estimates may be biased thus reducing
the ability to accurately assess its relationship with union stability. The influence of
violence on relationship dissolution may have been different had a household-level of
domestic violence that included fathers’ experiences been included instead. Previous
research using Fragile Families data indicates that fathers tend to report much higher
levels of violence than mothers (8.2% compared to 1.7%) (Charles & Perreira, 2007).
Once the missing values on this measure are imputed, it could be helpful in capturing
potentially unobserved characteristics of the relationship.
Model-Predicted Survivor Curves
Finally, the study attempted to show what would happen in the population if the
pattern of dissolution were to hold based on the model of independent and control
variables. Model-predicted survivor curves for a combination of multipartnered fertility
and baseline relationship status were generated holding all other covariates at their mean.
The results indicate that dating couples with multipartnered fertility from the mother
and/or the father are at a considerable disadvantage compared to all other types of
couples, i.e., married/no MPF, married/MPF, cohabiting/MPF, cohabiting/no MPF,
dating/no MPF. These model-predicted survivor curves depict how an average couple
who is dating with any multipartnered fertility (mother, father, or both parents) is at a
much higher risk of dissolution in each time period among the three groups of couples
with and without multipartnered fertility. The predicted survivor curves suggest that
dating parents with children from other relationships need especially strong support
services and skills in order to sustain their relationship.
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Transition to Parenthood
The theoretical framework for this study utilized a modified version of Cowan
and Cowan’s five-domain structural model of marital and family adaption to the birth of a
baby. Using five elements within the family system (i.e., individual, couple, triad
[mother, father, child], three generations [child, parents, and grandparents or other
extended family], and the external social system), the purpose of the model is to enhance
our understanding of the mechanisms at play between and within the five domains. The
current study modified Cowan and Cowan’s (2000) original model by specifying an
interplay between “affiliate” individuals and families, e.g., partners and children from
previous relationships, and the focal family. In this regard, multipartnered fertility
becomes a key element in the system. As supported by the findings in this study,
multipartnered fertility affects the family system, and specifically the couple dyad. Future
research should expand our knowledge of the role that multipartnered fertility plays in
affecting other domains in the model, e.g., child outcomes, social supports, kin networks,
employment demands.
Despite the model’s potential utility in offering a framework for understanding
the impact that multipartnered fertility may have on relationship stability, it has
limitations that warrant further reflection. First, the model does not explicitly indicate the
direction of effects that may occur across the five domains. For example, as hypothesized
in this study, the parents’ work patterns and other measures of socioeconomic status (fifth
and outermost level of the model) may influence the couple dyad (second level). On the
other hand, the individual (first and innermost level) is likely to influence the overall
parenting strategy and triadic relationship with the child (at third level). Identifying the
73
direction of hypothesized relationships like these between the five domains in the family
system would be useful for further theory building and for testing this model specifically.
Second, the model fails to include any dimension of time. As suggested by this
study, relationship stability among parents with a newborn baby is at risk of not being
constant in the months and years after childbirth. A framework that includes some aspect
of time with regard to relationship dissolution would be useful in improving our
appreciation of how parenthood and childbirth, major life course events, influence
whether and when a union dissolves.
Strengths and Limitations
This study contributes to extant research on union stability and multipartnered
fertility history in a number of areas. The study provides important insight into the timing
of relationship dissolution following the birth of a baby; it captures a fuller picture of
instability than previous studies by including dating couples who bear children in
addition to married and cohabiting couples; and it examines how a growing phenomenon
– multipartnered fertility – affects union outcomes. Additionally, using model-predicted
survivor curves, the study presents key findings in an efficient and clear method that is
readily understood by most audiences. Finally, the findings are applicable to a nationally
representative sample of non-marital births in large U.S. cities.
Despites the study’s strengths, there are several limitations that warrant
discussion. Several time-varying variables should be included in the discrete-time event
history models in order to take full advantage of the longitudinal nature of the data and to
accurately capture the effects of certain couple characteristics. These time-varying
variables include: work experience and welfare status, as well as the relationship
74
characteristic variables, e.g., support, violence, distrust. The primary purpose of including
time-varying covariates in a model is to connect the independent variable of interest at a
specific time to the study time (S. Guo, Forthcoming) because the risk of hazard changes
when the values of the variable change (Cleves, Gould, & Gutierrez, 2004b). Excluding a
time-varying version of employment, for example, limits the ability to control for an
anticipated event, such as unemployment, which may be negatively associated with
relationship dissolution.
Future research should also take advantage of the availability of multiple
imputation methods (Rose & Fraser, 2008) to impute missing data values instead of
relying on listwise deletion (also known as case deletion or complete case analysis)
(Schafer & Graham, 2002). Although the proportion of missing data was relatively small
(no variable was missing more than 7% of its values), the ability to impute missing data
would eliminate the need to delete observations which for several variables (i.e.,
multipartnered fertility, substance abuse, relationship time prior to pregnancy) that were
shown to differ on the missing versus non-missing cases. These differences suggest that
the missing data are “nonignorable” (Allison, 2002) or “missing not at random” (MNAR)
(Schafer & Graham, 2002) and represent a threat to the validity of generalizing the
study’s findings. Alternative methods of handling missing data were considered,
including dummy variable adjustment and mean substitution; however, both methods
were described by Allison (2002) as even more biased and problematic than using
listwise deletion. Thus, listwise deletion was ultimately selected as the least egregious of
the available options. Multiple imputation, however, could go a long way in improving
75
this study’s analysis and increasing its applicability and will be considered in future
research.
Due to an empty interval problem with the married sample, i.e., no married couple
experienced the event in the 13th and final interval, separate analyses of the model for
each group (married, cohabiting, and dating) were not presented. Although the model for
the married group converged, the 13th interval was dropped and the resulting estimates
and standard errors appeared suspect (i.e., most of the significant estimates were in the
opposite direction of what was expected and standard errors on the MPF variables were
unusually large). However, a solution to this problem proposed by Allison (1995), in
which the coefficient for the empty interval is constrained to be the same as that of the
adjacent interval, should solve this problem in future analyses of this data.
A number of important variables were included in the multivariate models to
capture characteristics of the relationship, e.g., support, conflict, distrust. The study lacks,
however, potentially important variables that measure expectations that partners typically
have in a relationship about the role that each person should play, e.g., child care,
household tasks. Future waves of the Fragile Families study (or other studies) should
include survey questions that address these aspects of the relationship. Additionally, this
study’s findings are limited to urban couples. Future research should be extended to
include couples from rural environments as well.
A final limitation concerning the analytical method is worth noting. There is a
potential disadvantage to using a discrete-time model because of the time metric used,
e.g., month, quarter, year. As Guo (Forthcoming) points out, these relatively coarse
measures of the change rate may result in a loss of information. When using quarters for
76
the time metric, for example, a couple whose relationship lasted 1 day is treated the same
as a couple whose relationship lasted 90 days. This does not, however, seem to present a
serious problem when using longitudinal data from multi-wave panel studies.
Implications
Research Implications
A key premise of this study was that transitions to parenthood present
considerable challenges to most parents, and especially low-income parents who already
face a host of disadvantages. To capture the effects of the transition to parenthood on
couple outcomes requires that measures of relationship quality and other relevant
variables be obtained before and after birth. The ideal data set would start at the initiation
of a relationship and follow the couple through courtship, pregnancy and marriage (if
applicable) or sustained co-parenting, and beyond for many years at regular intervals
(Fein, Burstein, Fein, & Lindberg, 2003). The data would also include measures of other
existing relationships in the immediate social system (i.e., those that resulted in
multipartnered fertility). Data of this nature would allow for a fuller assessment of factors
that affect the trajectories of couples’ relationships and the outcomes of their children as
well.
This study included several measures of relationship quality known to affect
union outcomes; however, future research should consider how to improve the validity of
such indicators. Violence is one such example. The reliability of accurately capturing
violent behavior in this study is questionable because the measure was based on only one
question (“How frequently did your partner hit or slap you?”). More precise measures of
this behavior are especially needed because of its known effect on relationships around
77
the time of birth and because violence is more prevalent among low-income and
unmarried couples (Saltzman, Johnson, Gilbert, & Goodwin, 2003). The National
Institute for Justice recommends that violence be measured using five different
categories: physical abuse, sexual violence, threats of sexual or physical violence,
stalking, and psychological abuse (Centers for Disease Control and Prevention, 2000).
Although inclusion of extraneous variables is never warranted, expanding the current
mechanism for capturing the effects of violence on relationship stability should be
considered. Following the work of Straus (1979), conflict as it is manifested across a
broad continuum of aggression should continue to be used. In this study, several items
that resembled questions from the “Reasoning” and “Verbal Aggression” scales of the
Conflict Tactics Scale (Straus, 1979) were utilized and should also be considered in
future research.
This study focused on one aspect of relationship stability among parents with
newborn children – union dissolution. However, future research should consider other
possible exits from the relationship, especially for dating parents, since this has not been
widely explored. For instance, it would be useful to have an understanding of the timing
of transitions into other relationship states, such as marriage and cohabitation, among
parents who begin as “daters.” Moreover, it could be beneficial to examine multiple or
repeated events, i.e., when a parent exits from one relationship and enters into another.
Serial relationships are bound to have significant effects on children; thus, extending our
knowledge about the role of “serial fatherhood figures” in children’s outcomes at
different developmental stages could be informative for policy makers as well as
practitioners.
78
Finally, the current study cannot make causal claims about multipartnered fertility
and its effects on relationship outcomes. As with any data produced from observational
studies as opposed to experimental studies, it is possible that the association between
multipartnered fertility and dissolution is attributable to unobserved characteristics of
parents who tend to have serial relationships with children. In other words, the effect of
multipartnered fertility on relationship status is likely confounded with other factors, that
is, those that led the parents to form previous partnerships (that included childbearing) to
begin with.
Including a rich set of control variables that are confounders is one way of helping
to reduce this bias. If possible, however, research efforts in the future should include
other mechanisms to reduce these selection effects in order to move closer to establishing
the causal relationship between multipartnered fertility and union instability. One method
for achieving this would be to use a fixed effects estimation approach as conducted in
previous studies on parental relationships (M. Carlson & Furstenberg, 2007; Foster &
Kalil, 2007). Fixed-effects models would be used to compare the same couple at different
points in time, holding constant all couple characteristics that are stable over time (or are
time invariant). In non-mathematical terms, fixed-effects models can be thought of as
regression models that include a dummy variable for each individual in the sample, thus
controlling for their constant characteristics even when those characteristics have not
been explicitly measured (c.f. Grogan-Kaylor, 2004).
Practice and Policy Implications
One of the more important findings of this study was that relationships among
couples who recently had a child together are at significant risk of dissolution very soon
79
after the birth of the baby. It appears that dating couples and couples with multipartnered
fertility from the father may be driving this effect. Several recently developed
interventions to strengthen low-income couples’ relationships were designed with this
very problem in mind. For example, the Strong-Couples and Strong-Children program
(Jones, 2008), and the Building Strong Families program, both projects of the federal
Healthy Marriage Initiative, were designed to provide relationship skills and support
services to low-income unwed expectant or new parents around the time of the “magic
moment” (Dion et al., 2003). This is the period around the birth when couples are
typically emotionally close from the pregnancy and birth and are potentially more open to
interventions than at other times.
Waiting until the “magic moment” around the time of birth, however, may be too
late. This raises an important timing question about when interventions should be
delivered. Policy makers and program managers may need to target couples earlier at the
“pre-contemplation” stage of parenting before couples actually get pregnant (but are
romantically involved). A modification of this kind in relationship strengthening
programs could prompt yet another difficult question: How should policies or programs
be designed so that they target couples “far enough” along on the relationship timeline
that it is advantageous to offer them an intervention but not so late that the couple is in
imminent danger of separating. Program managers from existing interventions, such as
Strong Couples-Strong Children, may be able to inform this policy and practice
conundrum.
The second important finding from this study that has considerable policy and
practice implications is the role that multipartnered fertility plays in relationship
80
instability and, subsequently, in decisions to marry (or not) among low-income African-
American couples. Upon initial release of the Fragile Families data, policy makers were
encouraged to find that while a considerable number of new parents with low-incomes
were unmarried, they were still romantically involved at the time of birth and had high
expectations for marriage with their partner. Approximately 74% of mothers and 90% of
fathers reported that they had a 50-50 chance or better of marrying their partner
(McLanahan et al., 2003). Furthermore, the majority of the mothers and fathers expressed
a strong belief in marriage, indicating that marriage is good for themselves and their
children.
With such high expectations for marriage among couples with nonmarital births,
policy makers chose to commit considerable amounts of funding to marriage promotion
and relationship stabilization programs using funds from the Temporary Assistance to
Needy Families program. The hope was that these efforts would result in reduced poverty
levels and improved child outcomes among the most vulnerable families, especially those
consisting of unmarried mothers and children.
Despite the high hopes of both policy makers and the couples themselves for
marriage, the effects of multipartnered fertility on relationship stability, and subsequently
on marriage, was not fully considered. Having a child from a previous relationship lowers
the probability that the current union will remain intact and that the couple will marry at
all (Mincy, 2002). Both fathers and mothers are hesitant to make a serious, long-term,
marital commitment to partners with children from other parents.
Mothers are reluctant to marry fathers because of financial obligations he has to
other households, and because of fears about ongoing sexual ties to the previous
81
partner(s) (Monte, 2007). Fathers avoid transitioning to marriage because they are
hesitant to take on the financial responsibility of another man’s child (Lichter & Graefe,
2001) in addition to the child support obligations they may already have to other families.
Further, welfare policies still penalize families by reducing or eliminating their benefits
once couples have married (Orthner et al., 2004). Under these conditions, social policy
efforts to promote marriage as a poverty reduction strategy will more than likely be
ineffective.
Instead, policy makers should consider alternative and complementary measures
that have the potential to serve the same purpose, that is, to reduce poverty levels among
unmarried couples and improve the well-being of their children. Research suggests that
poor labor market opportunities and incarceration are associated with decreased child
support payments among unmarried fathers (Magnuson & Gibson-Davis, 2007).
Strengthening workforce development efforts to help fathers find and sustain stable
employment could help them more easily provide for all of their children (Mincy, 2002).
Specific clinical strategies that help parents co-parent across households are also
warranted. Evidence suggests that fathers’ apparent disengagement from their children
who live in multiple households has as much to do with their inability to provide
financial support as it does with their incapacity to coparent effectively (M. Carlson &
Furstenberg, 2007). Interventions to strengthen couple relationships with specific
attention to fostering positive father involvement are crucial to the success of any family-
focused social policy efforts (C. P. Cowan et al., 2007).
82
Conclusion
Many couples in America today will partner and re-partner multiple times before
making the final commitment to marriage (Cherlin, 2009). These cycles of re-partnering
raise an important policy question: Would it be more effective to help couples avoid
pregnancy altogether while they complete or reach a more mature point in their courtship
process than to help them sustain their relationship once they have a child? Is waiting
until they are pregnant or have a child too late? Cherlin (2009) addresses this social
policy question by going a step further. He suggests that couples not only be encouraged
to hold off on childbearing, but to slow down the entire courtship process to begin with.
I suggest that we advise lone parents to take their time in finding partners and to be confident that a relationship will last before they bring a stepparent into their home. We should urge them to choose carefully and deliberately so that their subsequent partnerships, if any, have the greatest chance of enduring. (pp. 196-197).
Since there are no indications that nonmarital childbearing is currently slowing
down, efforts to strengthen parental relationships outside the institution of marriage
should continue. This is certainly the case among unmarried couples with children. The
key question raised in this study was whether having children with multiple partners
increased the risk of relationship dissolution. The answer is yes, and knowing this should
potentially enable practitioners and policy makers to improve the designs of existing and
forthcoming programs aimed at reducing poverty through marriage and relationship
strengthening efforts.
The results of this study suggest that multipartnered fertility, especially when the
father has children from previous partners, has the potential to play a critical role in the
outcome of couple relationships. Findings suggest that programs and policies need to
83
help fathers navigate the complexities that come with children born in serial relationships
if marriage promotion efforts are to succeed in increasing family unity. This could
possibly be achieved by offering father-specific groups that focus on co-parenting,
increasing men’s ability to pay child support across households, and structuring family-
centered services so that the needs of multiple families with shared biological ties can be
met. In this way, mothers and fathers with shared children in multiple families can be
supported in their effort to raise strong children and live productive lives.
84
APPENDIX A
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40184018401840184018401840184018401840184018
4020
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4107
41074107410841084108410841084108410841084108410841084110411041104110411041104110411041104110411041104113411341134113411341134113411341134113411341144114
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4116
411741174117411741174117411741174117411741174117411841184118411841184118411841184118411841184119411941194119411941194119
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4165
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4177
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4185
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4194
41954195419541954195419541954195419541954195419541954196419641964196419641964196419641964196419641974197419741974197419741974197419741974197419741974198419841984198
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419941994199419941994199419941994199419941994199420042004200420042004200420042004200420042004200
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4457
445844584458445844584458445844584458445844584458446044604460446044604460446044604460446044604460446244624462446244624462
4462
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446644664466446644664466446644664466446644664466446644684468446844684468446844684468446844684468446844694469446944694469446944694469446944694469447144714471447144714471447144714471447144710.0
5.1
.15
Pre
gibo
n's
dbet
a
0 1000 2000 3000 4000 5000id
85
VariableMultipartner Fertility HistoryNo MPF children (ref)MPF (mother) 1.687 1.647MPF (father) 3.108 *** 3.073 **MPF (both) 2.554 ** 2.525 **Relationship Status at Child's BirthMarried (ref)Cohabiting 2.286 * 2.316 *Dating 5.970 *** 6.233 ***DemographicsMother's race
White (ref)Black 1.178 1.167Hispanic/Other race 0.713 0.709
Father's race differs from mother 1.070 1.088Mother's religiousness 1.145 1.132Mother's age 0.935 * 0.936 *Father is 10 years older/younger than mother 0.695 0.709Mother's substance abuse problem 0.849 0.846Mother lived with both parents at age 15 1.536 1.534Father ever in jail (mother's report) 1.544 † 1.503 †
Socioeconomic StatusMother's education
<High school 0.881 0.901High school/GED 0.616 0.626Some college 0.629 0.632College or more (ref)
Mother worked in year before birth 0.705 0.712Father worked in week before birth 1.149 1.155Mother on welfare 0.766 0.769Mother or father owns home 0.952 0.946Relationship CharacteristicsYears known each other 1.031 1.031Mother feels supported (1-3) 0.327 ** 0.326 **Mother reports conflict (1-3) 1.347 1.350Mother reports violence 0.623 0.610Mother distrusts men 0.859 0.867Mother has pro-marriage attitude 1.118 1.150Time IntervalsInterval 1 (months 1-3) (ref)Interval 2 (months 4-6) 0.402 † 0.426 †
Interval 3 (months 7-9) 0.446 * 0.455 *Interval 4 (months 10-12) 0.664 0.679Interval 5 (months 13-15) 0.404 † 0.413 †
Interval 6 (months 16-18) 0.215 *** 0.220 ***Interval 7 (months 19-21) 0.394 0.403Interval 8 (months 22-24) 0.547 0.559Interval 9 (months 25-27) 0.510 0.521Interval 10 (months 28-30) 0.270 * 0.276 *Interval 11 (months 31-33) 0.476 0.486Interval 12 (months 34-36) 0.128 *** 0.131 ***Interval 13 (months 37-50) 0.231 * 0.235 *Model Chi-Square (df) 1158.64(39) *** 1177.58(42) ***Pseudo-R 2
0.118 0.119Note: Estimates based on weighted data. Fit statistics based onunweighted data. †p < .10, *p < .05, **p < .01, ***p < .001
Original Model 4 (from Table 3)
Model 4.2 (from sensitivity
analysis 1)
Table 5. Odds Ratios from Discrete-Time Event Hist ory Model Including Cases with Missing Interviews at Wave 3 (Sensitivit y Analysis 1)
APPENDIX B
86
VariableMultipartner Fertility HistoryNo MPF children (ref)MPF (mother) 1.687 1.803MPF (father) 3.108 *** 2.754 **MPF (both) 2.554 ** 2.200 **Relationship Status at Child's BirthMarried (ref)Cohabiting 2.286 * 2.212 *Dating 5.970 *** 4.773 ***DemographicsMother's race
White (ref)Black 1.178 1.363Hispanic/Other race 0.713 0.832
Father's race differs from mother 1.070 0.732Mother's religiousness 1.145 1.153Mother's age 0.935 * 0.940 *Father is 10 years older/younger than mother 0.695 0.734Mother's substance abuse problem 0.849 1.204Mother lived with both parents at age 15 1.536 1.361Father ever in jail (mother's report) 1.544 † 1.663 †
Socioeconomic StatusMother's education
<High school 0.881 0.753High school/GED 0.616 0.632Some college 0.629 0.647College or more (ref)
Mother worked in year before birth 0.705 0.693Mother on welfare 0.766 0.715Mother (or father) owns home^ 0.952 1.040Relationship CharacteristicsYears known each other 1.031 1.022Mother feels supported (1-3) 0.327 ** 0.364 **Mother reports conflict (1-3) 1.347 1.119Mother reports violence 0.623 0.623Mother distrusts men 0.859 0.992Mother has pro-marriage attitude 1.118 1.031Time IntervalsInterval 1 (months 1-3) (ref)Interval 2 (months 4-6) 0.402 † 0.388 †
Interval 3 (months 7-9) 0.446 * 0.421 *Interval 4 (months 10-12) 0.664 0.640Interval 5 (months 13-15) 0.404 † 0.384 *
Interval 6 (months 16-18) 0.215 *** 0.219 ***Interval 7 (months 19-21) 0.394 0.376Interval 8 (months 22-24) 0.547 0.513Interval 9 (months 25-27) 0.510 0.476Interval 10 (months 28-30) 0.270 * 0.251 **Interval 11 (months 31-33) 0.476 0.439Interval 12 (months 34-36) 0.128 *** 0.116 ***Interval 13 (months 37-50) 0.231 * 0.190 *Model Chi-Square (df) 1158.64(39) *** 1133.78(41) ***Pseudo-R 2 0.118 0.116
data. ̂ Only mothers are included in Model 4.3. †p < .10, *p < .05, **p < .01, ***p < .001
Original Model 4 (from Table 3)
Table 6. Odds Ratios from Discrete-Time Event Hist ory Model Excluding all Father Information (Sensitivity Analysis 2)
Model 4.3 (from sensitivity
analysis 2)
Note: Estimates based on weighted data. Fit statistics based on unweighted
APPENDIX C
87
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