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 me erects 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 variable. Factor A and Factor B have no effect.

Explanation / Answer

From the given data

Correct Asnwer: Option (B)

Source df Sum of square mean Square F F-critical Factor A 2 400 200 7.501172 3.402826 Significant Factor B 1 65.2 60.271 2.260516 4.259677 not significant Factor A * Factor B 2 115.3 21.339 0.800338 3.402826 not significant Error 24 639.9 26.6625 Total 29 1220.4

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