Web Calculator Exercise 5

919 Words4 Pages
Web Calculator Exercise 5 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. a. What statistical test should be used to analyze the data? One way randomized ANOVA b. Identify the Ho and Ha for this study. The Ho would be that there is no significant difference between the mean scores of CT, CBT, and IT. The Ha would be that there is a significant difference between the mean scores of the CT, CBT, and IT. c. Conduct the appropriate analysis. | CT | CBT | IT | 1 | 3 | 5 | 7 | 2 | 4 | 4 | 8 | 3 | 4 | 6 | 9 | 4 | 4 | 6 | 10 | 5 | 3 | 5 | 6 | 6 | 8 | 4 | 7 | 7 | 6 | 9 | 11 | 8 | 2 | 7 | 10 | n | 8 | 8 | 8 | X | 4.250 | 5.750 | 8.500 | s | 1.909 | 1.669 | 1.773 | Xave | 6.167 | | source | df | SS | MS | F | P-value | treatments | 2 | 74.333 | 37.167 | 11.6493 | 0.0004 | error | 21 | 67.000 | 3.190 | | total | 23 | 141.333 | | | | Critical Value F (2,21) = 3.467 Website calculator: http://turner.faculty.swau.edu/mathematics/math241/materials/anova/acalculate.php d. Should the Ho be rejected? What should the researcher conclude? The calculated value of F statistic is greater than the critical value of F, therefore the null hypothesis should be rejected. 2. A teacher is interested in comparing the
Open Document