It is projected that approximately 580,000 veterans will take advantage of the G

Question

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, post deployed, and veteran students in making a positive transition from military to civilian life or from deployment to post deployment 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 (journaling, 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 (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. The researcher performs an analysis of variance (ANOVA) to test the hypotheses that the populations defined by the treatment combinations are equal. The results are presented in the following ANOVA table. ANOVA Table. Use the significance level a = .01 to complete the following conclusions. The critical F value for factor A (years in military) is 7.00. Therefore, the effect due to factor A is The critical F value for factor B (program component) is 4.07. Therefore, the main effect due to factor 8 is The critical F value for the interaction of factors A and B is 4.07. 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 with different lengths of service had different PTSD symptom scores. By itself, the program that veterans took was not associated with differences in seventy; however, length of service resulted in different degrees of PTSD symptoms depending on program. Neither length of service nor program component was related to the seventy of PTSD symptoms when looked at alone. However, there was an interaction between the two factors such that seventy differed by program component differently depending on length of service (and vice versa). Veterans with different lengths of service had Afferent PTSD symptom scores. The seventy of PTSD symptoms was unrelated to program component either by itself or in conjunction with length of service. Neither length of service nor program component was related to the seventy of PTSD symptoms, whether examined alone or in conjunction with the other factor. Measure the effect sire 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.) for factor A (years in military) = for factor B (program component) = eta^2 for the interaction =

Explanation / Answer

1) given F critical value for main effect of A is 7.00 ,

From the table F - calculated value for main effect A is 0.53,

So, We fail to reject the null for the main effect A (0.53 < 7.00)

2) Given F critical value for main effect of B is 4.07 ,

From the table F - calculated value for main effect B is 3.02,

So, We fail to reject the null for the main effect B(3.02 < 4.07)

3) Given F critical value for interaction effect of A * B is 4.07,

From the table F - calculated value for interaction effect A*B is 4.32,

So, We would reject the null for the interaction effect A*B (4.32> 4.07)

4) From above 3 results we can conclude that

2- option : Neither length of service nor programm component was related to the severity of PTSD symptons when looked at alone. However , there was an interaction between the two factors such that severity differed by the programm component differently depending on length of the service ( and vice versa).

5) 2 = sum of squares of effet / total sum of squares

  2 for factor A = 37.8120/6734.6875

= 0.0056

2 for factor B = 645.9380/6734.6875

= 0.0959

2 for the interaction = 923.4400/6734.6875

=0.1371

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