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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 (community service, physical activity, journaling, 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.

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 (community service, physical activity, journaling, 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 (community service, physical activity, journaling, 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 A: Years in Military 1- 2 3- 4 Community Physical Service Activity M = 41 T = 410 M = 37.5 T = 375 SS = 462.5 M = 49.5 T = 495 Factor B: Program Component SS = 990 AXB interaction Within treatments TCOLI= 870 Source Between treatments Factor A Factor B SS= 990 M = 48 T = 480 SS= 260 TCOLF 890 Journaling M = 43.5 T = 435 SS=702.5 M = 46 T = 460 SS = 390 MS TCOLF 895 ANOVA Table ss df 1,040.0 7 500.0 1 500.0 8.49 3 10.8333 0.18 32.5 507.5 3 169.1667 2.87 4,240.0 72 58.8889 Meditation M = 46 T = 460 F SS = 790 M = 44.5 T = 445 SS = 422.5 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. TCULF 905 TROWF 1,680 TROWE 1,880 ΣΧ2 = 163,700
Transcribed Image Text: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 (community service, physical activity, journaling, 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 A: Years in Military 1- 2 3- 4 Community Physical Service Activity M = 41 T = 410 M = 37.5 T = 375 SS = 462.5 M = 49.5 T = 495 Factor B: Program Component SS = 990 AXB interaction Within treatments TCOLI= 870 Source Between treatments Factor A Factor B SS= 990 M = 48 T = 480 SS= 260 TCOLF 890 Journaling M = 43.5 T = 435 SS=702.5 M = 46 T = 460 SS = 390 MS TCOLF 895 ANOVA Table ss df 1,040.0 7 500.0 1 500.0 8.49 3 10.8333 0.18 32.5 507.5 3 169.1667 2.87 4,240.0 72 58.8889 Meditation M = 46 T = 460 F SS = 790 M = 44.5 T = 445 SS = 422.5 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. TCULF 905 TROWF 1,680 TROWE 1,880 ΣΧ2 = 163,700
ANOVA Table SS Source df Between treatments 1,040.0 7 Factor A 500.0 1 500.0 Factor B 32.5 3 10.8333 AXB interaction 507.5 3 4,240.0 72 Within treatments Total 5,280.0 79 Use the significance level a = 0.05 to complete the following conclusions. MS The critical F value for factor A (years in military) is 3.97. Therefore, the main effect due to factor A is F The critical F value for factor B (program component) is 2.73. Therefore, the main effect due to factor B is 8.49 0.18 169.1667 2.87 58.8889 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? O Neither length of service nor program component was related to the severity of PTSD symptoms, whether examined alone or in conjunction with the other factor. Veterans with different lengths of service had different PTSD symptom scores. By itself, the program that veterans took was not associated with differences in severity; however, length of service resulted in different degrees of PTSD symptoms depending on program. ONeither 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). n² for factor A (years in military) 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. 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 B (program component) n² for the interaction =
Transcribed Image Text:ANOVA Table SS Source df Between treatments 1,040.0 7 Factor A 500.0 1 500.0 Factor B 32.5 3 10.8333 AXB interaction 507.5 3 4,240.0 72 Within treatments Total 5,280.0 79 Use the significance level a = 0.05 to complete the following conclusions. MS The critical F value for factor A (years in military) is 3.97. Therefore, the main effect due to factor A is F The critical F value for factor B (program component) is 2.73. Therefore, the main effect due to factor B is 8.49 0.18 169.1667 2.87 58.8889 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? O Neither length of service nor program component was related to the severity of PTSD symptoms, whether examined alone or in conjunction with the other factor. Veterans with different lengths of service had different PTSD symptom scores. By itself, the program that veterans took was not associated with differences in severity; however, length of service resulted in different degrees of PTSD symptoms depending on program. ONeither 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). n² for factor A (years in military) 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. 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 B (program component) n² for the interaction =
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