The following ANOVA table (illustrating group means) shows the results of a study using
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The following ANOVA table (illustrating group means) shows the results of a study using

3. Answer the following questions about factorial ANOVAs:

a.) The following ANOVA table (illustrating group means) shows the results of a study using an independent-measures factorial ANOVA research design. Determine whether or not there appears to be (i) a main effect for Factor A, (ii) a main effect for Factor B, and/or (iii) an AxB interaction effect. Explain how you arrived at your decision regarding the presence/absence of a main effect of Factor A, a main effect of Factor B, and an AxB interaction. Assume that any difference between means are statistically significant. Assume Factor A is 'Age' and Factor B is 'Stress' and the dependent variable is Happiness Score.


b.) The following ANOVA table (illustrating group means) shows the results of a study using an independent-measures factorial ANOVA research design. Determine whether or not there appears to be (i) a main effect for Factor A, (ii) a main effect for Factor B, and/or (iii) an AxB interaction effect. Explain how you arrived at your decision regarding the presence/absence of a main effect of Factor A, a main effect of Factor B, and an AxB interaction. Assume that any difference between means are statistically significant. Assume Factor A is 'Medication' and Factor B is 'Therapy' and the dependent variable is Symptoms of Depression.


c.) The following ANOVA table (illustrating group means) shows the results of a study using an independent-measures factorial ANOVA research design. Determine whether or not there appears to be (i) a main effect for Factor A, (ii) a main effect for Factor B, and/or (iii) an AxB interaction effect. Explain how you arrived at your decision regarding the presence/absence of a main effect of Factor A, a main effect of Factor B, and an AxB interaction. Assume that any difference between means are statistically significant. Assume Factor A is 'Memory Training' and Factor B is 'Sleep Deprivation' and the dependent variable is memory recall (i.e., number of words correctly recalled from a previously studied word list).


Hint
Statistics"To determine the presence of main effects and interaction effects in factorial ANOVAs, we typically examine the patterns of means across the different levels of each factor. a.) In this scenario, Factor A is 'Age', Factor B is 'Stress', and the dependent variable is 'Happiness Score'.The main effect of Age is not significant as there is not much difference in the means of Young and...

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