Null hypothesis for Pearson Correlation (independence)

Null-hypothesis for a Pearson Product Moment Correlation

Independence Question

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 Pearson Product Moment Correlation or simply Pearson Correlation is a tool that makes it possible to statistically test the relationship between or (for the purposes of this presentation) the independence of two continuous variables.

As you may recall, a Pearson Product Moment Correlation or simply Pearson Correlation is a tool that makes it possible to statistically test the relationship between or (for the purposes of this presentation) the independence of two continuous variables. By continuous we mean a number that can take any value between two points (e.g., weight between 150 to 250 pounds).

Here is a template for writing a null-hypothesis for a Pearson Correlation:

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

Here is a template for writing a null-hypothesis for a Pearson Correlation:

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

With a question of independence, the null-hypothesis is what is sought after.

Example 1

ProblemYou have been asked to determine if student ACT scores and their Grade Point Averages (GPAs) are independent of one another.

Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

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

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

ProblemYou have been asked to determine student ACT scores and their Grade Point Averages (GPAs) are independent of one another.

Null-hypothesis for this ProblemThere is no statistically significant relationship between student ACT Scores and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between student ACT Scores and Grade Point Averages.

Example 2

ProblemUsing validated measures for each, you have been asked to determine if depression and a sense of belonging are independent of one another. Template for a Pearson Correlation Null-HypothesisThere is no statistically significant relationship between the [insert variable] and [insert variable].

ProblemUsing validated measures for each, you have been asked to determine if depression and a sense of belonging are independent of one another.

ProblemYou have been asked to determine if a relationship exists between depression and sense of belonging using validated measures for each.

Null-hypothesis for this ProblemThere is no statistically significant relationship between depression scores and [insert variable].

Null-hypothesis for this ProblemThere is no statistically significant relationship between depression scores and sense of belonging scores.

Null hypothesis for Pearson Correlation (independence)

Education

REVIEW Hypothesis testing starts with a null …faculty.ecnu.edu.cn/picture/article/220/5f/f1/48e...REVIEW Hypothesis testing starts with a null hypothesis and a null distribution

Null Hypothesis

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