Aplia: S Measuring effect size for two-factor ANOVA is projected that approximat

Question

Aplia: S Measuring effect size for two-factor ANOVA is projected that approximately 580,000 veterans vwill take advantage of the GI Bil for the 21st Century. Boots to Books is a course for all veterans, rrent military members, and their family members, friends, and supporters. The goal of Boots to Books is to assist deployed, postdeployed, and eteran students in making a positive transition from military to civilian life or from deployment to postdeployment life, including the acquisition of ollege survival skills. ost-traumatic stress disorder (PTSD) is quite common among combat veterans. Suppose that a researcher wants to revise the Boots to Books course in der to reduce the effects of PTSD. She recruits a group of combat veterans and collects data on the length of time they were in the milltary (factor A) nd the potential components of the revised course (physical activity, journaling, and community service: factor B). She then assigns them one of the hree components. The study will evaluate which components of the program are the most effective for reducing PTSD symptoms. he results of the hypothetical study are summarized in the following data matrix. Each cell reports the average (M), the total (T), and the sum of quares (SS) of the symptom score (X) on the Clinician-Administered PTSD Scale (CAPS) of 10 veterans. Veterans are grouped according to the number f years they served in the military Factor B: Program Component Physical Activity Journaling Service 1-2 M= 51.61 M-52.4 | M-53.2 T 516 | T=524 | T 532 | TROW1 1,572 SS= 38.4 | SS = 38.4 | SS 25.6 Factor A: 2x2 167,976 Years in Military 3-4 M. 52.01 M= 53.6 | M=54.4 T = 520 | T = 536 | T = 544 | TROW2-1,600 ss 38.41 ss. 46.4 | ss= 38.4 TCoL1 1,0361,060 1,076

Explanation / Answer

Since for factor A , F statistic 3.11 < F critical 4.02 , the main effect is NOT SIGNIFICANT

Since for factor B , the F statistic 4.82 > F critical 3.17, therefore the main effect is SIGNIFICANT

The F statistic value for interaction is 0.25 < F critical 3.17 , the interaction effect is NOT SIGNIFICANT

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Thus the third statement is correct " Veterans who took different components of the program had different PTSD symptom scores. The severity of PTSD scores was unrelated to length of service either by itself or in conjunction with the various components of the program"

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Effect size Eta squared = SS effect / SS total

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For factor A: 13.0667 / 282.9333 = 0.04619

Factor B : 40.5333 / 282.9333 = 0.14326

Interaction : 2.1333 /282.9333 = 0.00754

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