Question
Twenty-four different depressed patients are randomly assigned to each of five therapy conditions (a total of 120 patients in all), which differ according to the
Twenty-four different depressed patients are randomly assigned to each of five
therapy conditions (a total of 120 patients in all), which differ according to the number of days per week the patient must attend a psychoanalytic therapy session. After 6 months of treatment, the patients are rated for positive mood. The means and standard deviations of the ratings for each condition are shown in the following table.
Condition | Mean | SD |
One | 50 | 40 |
Two | 70 | 53 |
Three | 82 | 55 |
Four | 86 | 45 |
Five | 85 | 47 |
Table below shows an ANOVA table for comparing the mean scores for five conditions.
Source | SS | df | MS | F |
Between | 22060.8 | 4 | 5515.2 | 2.3634 |
Within | 268364 | 115 | 2333.6 | |
Total | 290424.8 | 119 |
(a) What is the critical q-value for the Tukey method with = .05?
(b) Using the Tukey method, can we conclude the difference between the means of Method 1 and Method 2 is significant?
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