In: Statistics and Probability
Directions: For each of the following scenarios, identify which statistical procedure (e.g.: paired t-test, ANOVA, two way ANOVA, correlation, etc.) you would use. Include WHY you chose the option you did (this does not have to be lengthy). If you would need to conduct post-hoc testing, state so.
3. You are looking at percent strength gain over a 10-week training program for the squat exercise. You have two independent variables: training status (freshmen and sophomore, junior and senior), and gender (male, female).
Here, the independent variables are training status (freshmen and sophomore, junior and senior), and gender (male, female) which are categorical and the dependent variable is percent strength gain over a 10-week training program for the squat exercise, which is numeric.
In case of more than one independent variable (categorical ) and numeric dependent variable, we use two way ANOVA
Hence the correct technique to be used is two way ANOVA
We will have three alternatives ( equality of training status, equality of gender and interaction ).
In case of rejection of hypothesis for equality of training status and interaction we will have to perform post hoc for the equality of pairwise means