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The structure of a two-way ANOVA study can be presented as a matrix with the levels...

The structure of a two-way ANOVA study can be presented as a matrix with the levels of one factor determining the rows and the levels of the second factor determining the columns.

Factor A

A1                                                           A2

                                       B1

Factor B                         

                                       B2

What are the three hypotheses that are evaluated in this study?

With this structure in mind, describe the mean differences that are evaluated by each of the three hypothesis tests that make up a two-factor ANOVA.__________________

Math   Statistics-And-Probability   
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Answer #1

What are the three hypotheses that are evaluated in this study?

Hypothesis 1

H0 : The mean all the groups in Factor A are equal.
H1 : The mean all the groups in Factor A are not equal

Hypothesis 2

H0 : The mean all the groups in Factor B are equal.
H1 : The mean all the groups in Factor B are not equal

Hypothesis 3

H0 : There is not an interaction between Factor A and Factor B.
H1 : There is an interaction between Factor A and Factor B.

With this structure in mind, describe the mean differences that are evaluated by each of the three hypothesis tests that make up a two-factor ANOVA

Mean difference due to factor A
Mean difference due to factor B
Mean difference due to factor C

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