Null hypothesis for phi-coefficient

Null-hypothesis for a Phi-Coefficient

Conceptual Explanation

With hypothesis testing we are setting up a null-hypothesis –

With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship –

With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis.

As you may recall, a Phi-coefficient is a value that makes it possible to statistically test the relationship between a dichotomous dependent variable and a dichotomous independent variable.

As you may recall, a Phi-coefficient is a value that makes it possible to statistically test the relationship between a dichotomous dependent variable and a dichotomous independent variable. By dichotomous we mean variables that have only two options (e.g., yes/no, member/nonmember, exists/does not exist, etc.).

Here is a template for writing a null-hypothesis for a Phi-Coefficient:

Here is a template for writing a null-hypothesis for a Phi-Coefficient:

There is no statistically significant relationship between the [insert independent variable] and [insert dependent variable].

Example 1

A researcher wishes to determine if a significant relationship exists between religious and non-religious affiliation and college graduation.

Problem


Template for a Phi-Coefficient Null-Hypothesis


Null-hypothesis for this Problem


Problem


Template for a Phi-Coefficient Null-HypothesisThere is no statistically significant relationship between the [insert independent variable] and [insert dependent variable].



Problem






Problem




Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert independent variable] and [insert dependent variable].

Problem






Problem





There is no statistically significant relationship between the religious and non-religious affiliation of a person and [insert dependent variable].

Problem





There is no statistically significant relationship between the religious and non-religious affiliation of a person and college graduation.


There is no statistically significant relationship between the religious and non-religious affiliation of a person and college graduation.

Example 2

A researcher wishes to determine if a significant relationship exists between age (older than 50 vs. younger than 50) and political affiliation (Democrat vs. Republican).

A researcher wishes to determine if a significant relationship exists between age (older than 50 vs. younger than 50) and political affiliation (Democrat vs. Republican).

vs.

vs.

ProblemA researcher wishes to determine if a significant relationship exists between age (older than 50 vs. younger than 50) and political affiliation (Democrat vs. Republican).


Null-hypothesis for this ProblemThere is no statistically significant relationship between the [insert independent variable] and [insert dependent variable].



Null-hypothesis for this ProblemThere is no statistically significant relationship between the age and [insert dependent variable].s



Null-hypothesis for this ProblemThere is no statistically significant relationship between the age and political affiliation.s


There is no statistically significant relationship between the age and political affiliation.

Null hypothesis for phi-coefficient

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