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 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 interaction has 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 variation in the dependent variable. Factor A and Factor b have no effect.

Explanation / Answer

as p value in all is less then 0.05 level

all have significant effect on variation in the dependent variable

Source of Variation SS df MS F P-value Factor A 700 2 350 24.71315 1.49E-06 Factor B 65.2 1 65.2 4.603707 0.042228 Interaction 115.3 2 57.65 4.070609 0.030046 Error 339.9 24 14.1625 Total 1220.4 29

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