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O 8 https:/g.cengage.com/staticb/ui/evo/index.html?eISBN=9780357035542&id=1388517717&snapshotld=27628828 B. Booking.com Collapse Subdiscuss... a Amazon B. Booking.com @ Facebook MATH LABS Citation Machine @; A... Degrees of Freedom C.. : HO CENGAGE | MINDTAP Problem Set: Chapter 13 Two-Factor Analysis of Variance Use the significance level a = 0.05 to complete the following conclusions. bos The critical F value for factor A (years in military ) is 3.97. Therefore, the main effect due to factor A is The critical F value for factor B (program component) is 2.73. Therefore, the main effect due to factor B is The critical F value for the interaction of factors A and B is 2.73. Therefore, the effect due to the interaction of factors A and B is Given the results of the preceding analysis, what does the researcher conclude? Veterans who took different components of the program had different PTSD symptom scores. The severity of PTSD symptoms was unrelated to length of service either by itself or in conjunction with the various components of the program. Length of service and program component were each related to the severity of PTSD symptoms. However, the effect of each factor was independent of the other. O Veterans who took different components of the program had different PTSD symptom scores. By itself, length of service was not associated with differences in severity; however, the various components of the program resulted in different degrees of PTSD symptoms depending on length of service. O Neither length of service nor program component was related to the severity of PTSD symptoms when looked at alone. However, there was an interaction between the two factors such that severity differed by program component differently depending on length of service (and vice versa ). Measure the effect size for factor A (years in military), factor B (program component), and the interaction by computing (partial) eta squares. (Express the value of each eta square as a percent.) n2 for factor A (years in military) F4 FS F6 F7 F9 10 F11 F12 PriSc Del A+ Pause Ser LK SysRQ Ins # S B 4 56 E RMindTap - Cengage Learning 8 https:/g.cengage.com/staticb/ui/evo/index.html?eISBN=9780357035542&id=1388517717&snapshotld=2762882& B. Booking.com Collapse Subdiscuss... a Amazon B. Booking.com @Facebook MATH LABS Citation Machine@: A... Degrees of Freedom C... : HO CENGAGE |MINDTAP Problem Set: Chapter 13 Two-Factor Analysis of Variance SS = 740 SS - 802.5 SS - 660 SS = 612.5 Factor A: Years in EX2 = ools Military 161,175 M = 37 M - 41 M = 47 M = 53.5 3-4 T - 370 T - T = 470 -535 TROW2 1,785 SS - 802.5 SS = 490 SS = 910 SS = 652.5 TCOLI COL2 - 845 TCOL3 - 900 COL4 810 960 The researcher performs an analysis of variance (ANOVA) to test the hypothesis that the populations defined by the treatment combinations are equal. The results are presented in the following ANOVA table. ANOVA Table Source SS df MS Between treatments 1,607.1875 Factor A 37.8120 37.8120 0.53 Factor B 645.9380 3 215.3127 AXB interaction 923.4400 3 307.8133 4.32 Within treatments 5,127.4975 72 71.2152 Total 6,734.6875 79 Use the significance level a = 0.05 to complete the following conclusions. F6 F8 F9 F10 F12 PrtSc Del F4 F5 A+ Pause Scr LK SysRa Ins Vo 13 4 5E 6 8 9 E R T U I O PMindTap - Cengage Learning X O B https:/g.cengage.com/staticb/ui/evo/index.html?eISBN=9780357035542&id=1388517717&snapshotld=2762882& ing.com Collapse Subdiscuss... a Amazon B. Booking.com @ Facebook MATH LABS Citation Machine@: A... Degrees of Freedom C... : HOW TO CENGAGE |MINDTAP Problem Set: Chapter 13 Two-Factor Analysis of Variance 12. Measuring effect size for two-factor ANOVA 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. Posttraumatic 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. She 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 (journaling, community service, physical activity, and meditation: factor B). She 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 (T), 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 = 44 M = 43.5 M = 43 M - 42.5 1- 2 T = 440 435 T = 430 = 425 ROW1 = 1,730 SS = 740 SS = 802.5 SS = 660 SS = 612.5 Factor A: Years in EX2 = Military 161,175 M = 37 M = 41 M = 47 M = 53.5 3-4 T = 370 T = 410 T = 470 = 535 TROW2 = F5 F6 F7 F8 F9 F10 11 F12 PrtSc Del A+ Pause Scr Lik SysRa Ins S %O 8 https:/g.cengage.com/staticb/ui/evo/index.html?eISBN=9780357035542&id= 1388517717&snapshotld=27628828 Booking.com Collapse Subdiscuss... a Amazon B. Booking.com @Facebook MATH LABS Citation Machine@: A... Degrees of Freedom C... . HO CENGAGE | MINDTAP Problem Set: Chapter 13 Two-Factor Analysis of Variance Given the results of the preceding analysis, what does the researcher conclude? Veterans who took different components of the program had different PTSD symptom scores. The severity of PTSD symptoms was unrelated to length of service either by itself or in conjunction with the various components of the program. O Length of service and program component were each related to the severity of PTSD symptoms. However, the effect of each factor was independent of the other. O Veterans who took different components of the program had different PTSD symptom scores. By itself, length of service was not associated with differences in severity; however, the various components of the program resulted in different degrees of PTSD symptoms depending on length of service. O Neither length of service nor program component was related to the severity of PTSD symptoms when looked at alone. However, there was an interaction between the two factors such that severity differed by program component differently depending on length of service (and vice versa) Measure the effect size for factor A (years in military), factor B (program component), and the interaction by computing (partial) eta squares. (Express the value of each eta square as a percent.) n2 for factor A (years in military) = n2 for factor B (program component) = n2 for the interaction = Grade It Now Save & Continue Continue without saving F5 F6 F10 F12 Prisc Del Pause Ser Lik SysRa Ins S & 3 4 8 E R