Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker...

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Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan and Thomas E. Heinzen

Transcript of Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker...

Page 1: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Statistics for the Behavioral SciencesSecond Edition

Chapter 17:

Chi-Square Tests

iClicker Questions

Copyright © 2012 by Worth Publishers

Susan A. Nolan and Thomas E. Heinzen

Page 2: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 171. Nonparametric tests differ from parametric tests in that they

are:

a) statistical tests that are not based on a set of assumptions about the population.

b) not statistical tests.

c) not hypothesis tests.

d) statistical tests that are simple to perform and can even be conducted in the absence of computers.

Page 3: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)1. Nonparametric tests differ from parametric tests in that they

are:

a) statistical tests that are not based on a set of assumptions about the population.

b) not statistical tests.

c) not hypothesis tests.

d) statistical tests that are simple to perform and can even be conducted in the absence of computers.

Page 4: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 172. What are three circumstances in which we commonly use a

nonparametric test?

a) when the dependent variable is interval, the independent variable is ratio and the sample size is large

b) when the dependent variable is ratio, the independent variable is nominal and the independent and dependent variables are continuous

c) when the dependent variable is nominal, either the independent variable or dependent variable is ordinal and when the sample size is small and an underlying population distribution is suspected to be skewed

d) when the independent variable is categorical, the dependent variable is ordinal and the distribution is positively skewed.

Page 5: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)2. What are three circumstances in which we commonly use a

nonparametric test?

a) when the dependent variable is interval, the independent variable is ratio and the sample size is large

b) when the dependent variable is ratio, the independent variable is nominal and the independent and dependent variables are continuous

c) when the dependent variable is nominal, either the independent variable or dependent variable is ordinal and when the sample size is small and an underlying population distribution is suspected to be skewed

d) when the independent variable is categorical, the dependent variable is ordinal and the distribution is positively skewed.

Page 6: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

3. A chi-square test is symbolized as:

a) Chi2

b) χ2

c) XiSq

d) Q2

Chapter 17

Page 7: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

3. A chi-square test is symbolized as:

a) Chi2

b) χ2

c) XiSq

d) Q2

Chapter 17 (Answer)

Page 8: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

4. When a research design involves one nominal variable, what nonparametric hypothesis test is used?

a) the chi-square test for goodness-of-fit

b) the effect size statistic

c) the chi-square test for independence

d) the proportionate reduction in error

Chapter 17

Page 9: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

4. When a research design involves one nominal variable, what nonparametric hypothesis test is used?

a) the chi-square test for goodness-of-fit

b) the effect size statistic

c) the chi-square test for independence

d) the proportionate reduction in error

Chapter 17 (Answer)

Page 10: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

5. Your textbook lists six steps for conducting a Chi Square goodness of fit test. The first three of these steps are listed below. Which one does not belong?

a) Identify the populations, distributions, and assumptions.

b) State the null and research hypotheses.

c) Randomly assign participants to groups.

d) Determine the characteristics of the comparison distribution.

Chapter 17

Page 11: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

5. Your textbook lists six steps for conducting a Chi Square goodness of fit test. The first three of these steps are listed below. Which one does not belong?

a) Identify the populations, distributions, and assumptions.

b) State the null and research hypotheses.

c) Randomly assign participants to groups.

d) Determine the characteristics of the comparison distribution.

Chapter 17 (Answer)

Page 12: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

6. Your textbook lists six steps for conducting a Chi Square goodness of fit test. The last three of these steps are listed below. Which one does not belong?

a) Only use observed frequencies, discard expected frequencies.

b) Determine the critical values, or cutoffs.

c) Calculate the test statistic.

d) Make a decision.

Chapter 17

Page 13: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

6. Your textbook lists six steps for conducting a Chi Square goodness of fit test. The last three of these steps are listed below. Which one does not belong?

a) Only use observed frequencies, discard expected frequencies.

b) Determine the critical values, or cutoffs.

c) Calculate the test statistic.

d) Make a decision.

Chapter 17 (Answer)

Page 14: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

7. When a research design involves two nominal variables, what nonparametric hypothesis test is used?

a) the chi-square test for goodness-of-fit

b) the effect size statistic

c) the chi-square test for independence

d) the proportionate reduction in error

Chapter 17

Page 15: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

7. When a research design involves two nominal variables, what nonparametric hypothesis test is used?

a) the chi-square test for goodness-of-fit

b) the effect size statistic

c) the chi-square test for independence

d) the proportionate reduction in error

Chapter 17 (Answer)

Page 16: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 178. When computing our chi-square statistic, we calculate the difference between what two values?

a) the observed and the expected frequencyb) the mean and the standard deviationc) the mean and the mediand) the effect size and the sample size

Page 17: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)

8. When computing our chi-square statistic, we calculate the difference between what two values?

a) the observed and the expected frequencyb) the mean and the standard deviationc) the mean and the mediand) the effect size and the sample size

Page 18: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 179. For a chi-square test of independence, we calculate the

degrees of freedom using which formula?

 

a) dfχ2 = (k – 1)(k+1) / 2

b) dfχ = ∑ (X – 1)/N+1

c) dfχ2 = (X – μ) / N

d) dfχ2 = (krow – 1)(kcolumn – 1)

Page 19: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)

9. For a chi-square test of independence, we calculate the degrees of freedom using which formula?

 

a) dfχ2 = (k – 1)(k+1) / 2

b) dfχ = ∑ (X – 1)/N+1

c) dfχ2 = (X – μ) / N

d) dfχ2 = (krow – 1)(kcolumn – 1)

Page 20: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 1710. ____________________ is the standard effect size used

for the chi-square test for independence.

a) Delta

b) Standardized coefficient

c) Cramer’s V

d) Eta squared

Page 21: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)

10. ____________________ is the standard effect size used for the chi-square test for independence.

a) Delta

b) Standardized coefficient

c) Cramer’s V

d) Eta squared

Page 22: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 1711. The difference between the observed frequency and the

expected frequency for a cell in a chi-square research

design is called a(n):

a) Relative risk.

b) Cramer’s V.

c) Goodness of fit.

d) adjusted standardized residual.

Page 23: Statistics for the Behavioral Sciences Second Edition Chapter 17: Chi-Square Tests iClicker Questions Copyright © 2012 by Worth Publishers Susan A. Nolan.

Chapter 17 (Answer)

11. The difference between the observed frequency and the

expected frequency for a cell in a chi-square research

design is called a(n):

a) relative risk.

b) Cramer’s V.

c) goodness of fit.

d) adjusted standardized residual.