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Please explain why you choose the answers. 14. What is the benefit of doing a tw

ID: 3064746 • Letter: P

Question

Please explain why you choose the answers. 14. What is the benefit of doing a two-way ANOVA rather than a one-way ANOVA on two factors separately? A) We can detect interactions between the two factors. B) By including a second factor, we may reduce the residual variance. C) The two-way ANOVA is more efficient than a one-way ANOVA on two factors separately All of the above D) 15. True or False. In a two-way ANOVA, it is possible that all, none, or any combination of the hypotheses being tested are significant. A) True B) False 16. What are the null hypotheses being tested in a two-way ANOVA? A) B) C) Main effect of factor A and main effect of factor B The AB interaction effect Main effect of factor A, main effect of factor B, and the AB interaction effect 17. Consider the following graphic results from a two-way ANOVA. These results show 500 A1 A2 B2 A) B) C) D) no significant main effects or interaction effects. a possible significant main effect for factor A and no other significant effects. a possible significant main effect for factor B and no other significant effects. a significant interaction effect and no other significant effects.

Explanation / Answer

14)

The advantages of using a two-variable design via Two-Way ANOVA:

So correct answer is D - All the above

15) True. It is called cross over reaction.

there is no overall effect of either Factor A or Factor B, but there is a crossover interaction.

16) Option C is correct. From ANOVA table we can test all these three parameters.

17) Since the lines are parallel, we can say that there is no interaction effect.

Two line are close across A. So we can say no signifance across A.

So option C is correct