In: Statistics and Probability
A psychologist wants to see how effective 3 different treatments are on depression. One group gets medication only, one group only gets counseling, and one group only receives a diet supplement. Depression scores after the treatments are listed below:
| 
 Medication  | 
 Counseling  | 
 Diet Supplement  | 
| 
 23  | 
 38  | 
 40  | 
| 
 16  | 
 32  | 
 28  | 
| 
 15  | 
 29  | 
 33  | 
| 
 32  | 
 42  | 
 42  | 
| 
 26  | 
 25  | 
 35  | 
Use the .05 level of significance, state your research question, critical value, include your ANOVA Source Table and calculations, and state whether you retain/reject the null hypothesis
Use Tukey’s HSD test (α = .05) as a follow-up to determine the pattern of differences among the means. Show your calculations and write a few sentences interpreting the differences between the three groups.