In a two-way ANOVA an analyst is evaluating the effect of Factor A (three levels

Question

In a two-way ANOVA an analyst is evaluating the effect of Factor A (three levels and Factor B (two levels) Her overall sample size was 30 and he has the following output available What should the analyst conclude about the effects of Factor A. Factor B. and Interaction? Both Factor A and Factor B have significant effect on variation in the dependent variable but the no effect no effect Factor A has significant effect on variation in the dependent variable. but Factor B and interaction have no effect. Factor B has significant effect on variation in the dependent variable, but Factor A and interaction have no effect All have significant effect on variation in the dependent variable. Only the interaction has a significant effect. on variation in the dependent variable Factor A and Factor B have no effect

Explanation / Answer

df for effect A = 3-1=2

df for effect B = 2-1=1

df for interaction effect=2*1=2

MS for effect A,B,interaction effect are respectively

400/2=200,65.2,115.3/2=57.65

Hence, the correct answer is 2.

A has sgnificant effect,B and interaction have no effect.

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