# Identify, give the degrees of freedom for, and interpret the test statistic used in a hypothesis test fora. interaction.b. Factor A main effect.c. Factor B main effect.

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Identify, give the degrees of freedom for, and interpret the test statistic used in a hypothesis test for
a. interaction.
b. Factor A main effect.
c. Factor B main effect.

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Step 1

(a)

The degrees of freedom for the interaction in two-way ANOVA is,

(a–1)(b–1)

The test statistic for interaction effect is,

F=MSAB/MSE

Interpretation:

If test statistic ≤ critical value fail to reject the null hypothesis

Thus, there is no interaction effect between the factors.

If test statistic > critical value reject the null hypothesis

Thus, there is an interaction effect between the factors.

(b)

The degrees of freedom for the factor A main effect in t...

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