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 variable] and [insert variable] .

Example 1

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Null-hypothesis for this Problem

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

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.

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

There is no statistically significant relationship between the age and [insert variable] .s

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

s

Problem

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).

Template for a Phi-Coefficient Null-Hypothesis

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

Null-hypothesis for this Problem

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

s

Null-hypothesis for this Problem

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