Question

In a 2-factor ANOVA, what happens to the variability associated between treatments? (multiple choice) It is...

In a 2-factor ANOVA, what happens to the variability associated between treatments? (multiple choice)

It is separated into two components - Between Subjects and Error

It is separated into three components - Main Effect A Main Effect B and Interactions AxB

It is combined to create the total variance for the study

or

None of these explains what happens

Math   Statistics-And-Probability   
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Answer #1

Suppose the biologist wants to ask this same question but with two different species of plants while still testing the three different levels of fertilizer. The biologist needs to investigate not only the average growth between the two species (main effect A) and the average growth for the three levels of fertilizer (main effect B), but also the interaction or relationship between the two factors of species and fertilizer. Two-way analysis of variance allows the biologist to answer the question about growth affected by species and levels of fertilizer, and to account for the variation due to both factors simultaneously.

So,

It is separated into three components - Main Effect A Main Effect B and Interactions AxB

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