Null hypothesis for Pearson Correlation (independence)

1. Null-hypothesis for a
Pearson Product Moment
Correlation
Independence Question

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

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

4. 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.

5. 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.

6. 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).

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

8. 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].

9. 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.

10. Example 1

11. Problem
You 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-
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].

12. Problem
You 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-
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].

13. Problem
You 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-
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].

14. Problem
You 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-
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
[insert variable] and [insert variable].

15. Problem
You have been asked to determine student ACT
scores and their Grade Point Averages (GPAs) are
independent of one another.
Template for a Pearson Correlation 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
[insert variable] and [insert variable].

16. Problem
You have been asked to determine student ACT
scores and their Grade Point Averages (GPAs) are
independent of one another.
Template for a Pearson Correlation 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
student ACT Scores and [insert variable].

17. Problem
You have been asked to determine student ACT
scores and their Grade Point Averages (GPAs) are
independent of one another.
Template for a Pearson Correlation 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
student ACT Scores and [insert variable].

18. Problem
You have been asked to determine student ACT
scores and their Grade Point Averages (GPAs) are
independent of one another.
Template for a Pearson Correlation 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
student ACT Scores and Grade Point Averages.

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

20. Example 2

21. Problem
Using 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-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].

22. Problem
Using 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-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].

23. Problem
Using 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-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
[insert variable] and [insert variable].

24. Problem
You have been asked to determine if a relationship
exists between depression and sense of belonging
using validated measures for each.
Template for a Pearson Correlation 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
[insert variable] and [insert variable].

25. Problem
Using 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-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
depression scores and [insert variable].

26. Problem
Using 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-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
depression scores and [insert variable].

27. Problem
Using 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-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
depression scores and sense of belonging scores.

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