Graded Web Calculator Exercise 5

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Web Calculator Exercise 5

ANOVAs

1. A researcher is interested in comparing the effectiveness of three different kinds of therapy for anger problems. Eight participants are randomly assigned to three treatment conditions: Cognitive Therapy (CT), Cognitive-Behavioral Therapy (CBT), and Interpersonal Therapy (IT). All participants complete the weekly treatment for 8 weeks. Participants take an anger test before and after the 8-week treatments. Each participant’s difference score (= anger score after the treatment minus (–) anger score before the treatment) is shown in the following table. The three therapists in this experiment have equal educational levels and clinical experiences. CT | CBT | IT | 3 | 5 | 7 | 4 | 4 | 8 | 4 |
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Q can be found in Table A.9 using a k (number of groups) and dfWithin
16 - Calculate the HSD at both the .05 and .01 level, whatever values are above the HSD must be considered “honestly significantly different”.

http://easycalculation.com/statistics/one-way-anova.php

From personal spreadsheet

Note = FCritical from Table A.8 (degrees of freedom of within and between) and HSD.01 from table A.9
Reject if FObtained is > FCritical

FCritical @ .05 = 3.49 and FCritical at .01 = 5.85
F(2, 21) = 11.65, p < .01

d. Should H0 be rejected? What should the researcher conclude?

The null hypothesis should be rejected that there is no difference between treatment methods because the calculation show that the treatments are statistically different.

2. A teacher is interested in comparing the effects of three different types of rehearsal methods (Rote rehearsal, Imagery, and Story) on number of words recalled. Participants are randomly assigned into three different groups. In each group, participants are asked to study a list of words using the assigned method. The following table

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