Scenario 2: Use the following information for the next 6 questions.
Researcher wants to compare three Types of Therapy [Behavior Therapy (BT), Cognitive Therapy (CT), and Cognitive-Behavior Therapy (CBT)] to determine which therapy works best in terms of increasing Self-Esteem. The researcher selects a sample of individuals who have been diagnosed with clinical depression of size 21 (N = 21) to test the research hypothesis (alternative hypothesis) that there is a difference in the ability of the three therapies to increase Self-Esteem. The 21 participants are randomly assigned to each type of therapy (BT, CT, and CBT). Each participant receives their assigned therapy for a 6-month period. At the end of the 6-month period, the researcher administers a standardized test of Self-Esteem to each participant (lhigh numbers indicate higher Self-Esteem). The data are listed below. The researcher wants to minimize the probability of making a Type I Error.
Subject BT (X - m) (X-M)^2 CT (X - m) (X-M)^2 CBT (X - m) (X-M)^2 Mean
People
1 82 6 36 80 8 64 78 10 100 80
2 80 4 16 76 4 16 72 4 16 76
3 78 2 4 74 2 4 70 2 4 74
4 76 0 0 72 0 0 68 0 0 72
5 74 -2 4 70 -2 4 66 -2 4 70
6 72 -4 16 68 -4 16 64 -4 16 68
7 70 -6 36 64 -8 64 58 -10 100 64
GRAND
MEAN
MEAN 76 0 72 0 68 0 72
SS 112 168 240
N 7 7 7
k 3 3
Question 23
Scenario 2: If appropriate, conduct post-hoc analysis using Tukey’s HSD. What is the critical value?
Note: If it is not appropriate to conduct post-hoc analysis, input 999.
Question 24
Scenario 2: If appropriate, what is the value of Tukey’s HSD for comparing BT to CT (Round to two decimal places)?
Note: If it is not appropriate to conduct post-hoc analysis, input 999.