Dr. Campbell is assessing whether parent/child relationship quality changes in adolescence. She recruits 6 parents with adolescent children to participate in this longitudinal study. The parents rate the quality of their relationship with their children on a 1 to 10 scale, with higher scores indexing a higher quality relationship. The parents rate the quality of this relationship at three time points, when the adolescent is (1) 13 years old, (2) 16 years old, and (3) 19 years old. The data is as follows:
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Dr. Campbell is assessing whether parent/child relationship quality changes in adolescence. She recruits 6 parents with adolescent children to participate in this longitudinal study. The parents rate the quality of their relationship with their children on a 1 to 10 scale, with higher scores indexing a higher quality relationship. The parents rate the quality of this relationship at three time points, when the adolescent is (1) 13 years old, (2) 16 years old, and (3) 19 years old. The data is as follows:
|
Participant |
Relationship Quality- 13 Years |
Relationship Quality- 16 Years |
Relationship Quality- 19 Years |
|
1 |
5 |
6 |
8 |
|
2 |
2 |
4 |
6 |
|
3 |
5 |
4 |
5 |
|
4 |
6 |
7 |
9 |
|
5 |
4 |
3 |
8 |
|
6 |
5 |
5 |
7 |
For this problem, complete the following steps. Show all your work.
C) Compute the test statistic.
D) Use the test statistic to make a decision and interpret that decision.
E) If needed, conduct a post hoc test.
F) Compute and interpret ηp2 as a measure of the effect size.
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