Question

In a two-factor analysis of variances (say Factor A and Factor B), how many hypotheses need...

  1. In a two-factor analysis of variances (say Factor A and Factor B), how many hypotheses need to be tested? Please list all the hypotheses to be tested and explain what exactly is tested in each hypothesis.
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Answer #1

There should be three hypotheses need to be tested.

1. Hypothesis of Factor A.

Ho: The mean of the observation between the levels of Factor A are the same.

H1: The mean of the observation between the levels of Factor A are not the same.

2. The hypothesis of Factor B

Ho: The mean of the observation between the levels of Factor B are the same.

H1: The mean of the observation between the levels of Factor B are not the same.

3. Interaction effect of Factors A and B.

Ho: There is no interaction effect of Factors A and B.

H1: There is an interaction effect of Factors A and B.

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