Use the significance level a = 0.05 to complete the following conclusions. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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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.
Source
Between treatments
Factor A
Factor B
AXB interaction
Within treatments
Total
ANOVA Table
SS
1,607.1875
37.8120
645.9380 3
923.4400 3
5,127.4975 72
6,734.6875 79
df
7
1 37.8120 0.53
215.3127 3.02
307.8133 4.32
71.2152
MS
F
Use the significance level a = 0.05 to complete the following conclusions.
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
Transcribed Image Text: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. Source Between treatments Factor A Factor B AXB interaction Within treatments Total ANOVA Table SS 1,607.1875 37.8120 645.9380 3 923.4400 3 5,127.4975 72 6,734.6875 79 df 7 1 37.8120 0.53 215.3127 3.02 307.8133 4.32 71.2152 MS F Use the significance level a = 0.05 to complete the following conclusions. 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?
O 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 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).
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 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.
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 =
Transcribed Image Text:Given the results of the preceding analysis, what does the researcher conclude? O 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 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). 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 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. 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 =
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