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ia.com/af/servlet/quiz?quiz action takeQuiz&quiz; probGuida QNAPCOA801010000003633ba50090000&ctx; dfryxell-0016&ck; 9 1492984903680 0AAA6 12. Measuring effect size for two-factor ANOVA Aa Aa It is projected that approximately 580,000 veterans will take advantage of the GI Bill for the 21st century. Boots to Books is a course for all veterans, current military members, and their family members, friends, and supporters. The goal of Boots to Books is to assist deployed, postdeployed, and veteran students in making a positive transition from military to civilian life or from deployment to postdeployment life, including the acquisition of college survival skills. Post-traumatic stress disorder (PTSD) is quite common among combat veterans. Suppose that a researcher wants to revise the Boots to Books course in order to reduce the effects of PTsD. He recruits a group of combat veterans and collects data on the length of time they were in the military (factor A) and the potential components of the revised course Uournaling, community service, physical activity, and meditation: factor B). He then assigns them one of the four components. The study will evaluate which components of the program are the most effective for reducing PTSD symptoms. The results of the hypothetical study are summarized in the following data matrix. Each cell reports the average (M), the total and the sum of squares (SS) of the symptom score X) on the Clinician-Administered PTSD Scale (CAPS) of 10 veterans. Veterans are grouped according to the number of years they served in the military. Factor B: Program Component Community Physical Journaling Service Activity Meditation M m 36.5 M 39 M 42 M 45 1-2 T m 365 T 390 T 420 T 450 ROWI m 1,625 SS m 252.5 SS 840 SS 460 SS m 350 Ex2 156,870 Factor A Years in Military M m 44 M m 44,8 M 47.6 M 49.1 3-4 T 440 T 448 T 476 T 491 TROw2 1,855 SS m 840 SS 743.6 SS 670 SS 644.9 838 941Explanation / Answer
The main effect due to factor A is significant.
The main effect due to factor B is not significant.
The effect due to interaction of factors A and B is not significant.
Therefore, the researcher concludes, veterans with different lengths of service had different PTSD symptom scores. The severity of PTSD symptoms was unrelated to program component either by itself or in conjunction with length of service.
Partial eta square = SSeffect / (SSeffect + SSerror )
2 for factor A = 661.2520 / (661.2520+ 4251.4) = 0.134602 = 13.4602 %
2 for factor B = 548.3 / (548.3 + 4251.4 ) = 0.114236 = 11.4236 %
2 for interacton = 29.048 / (29.048 + 4251.4 ) = 0.006786 =0.6786 %
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