In a factorial ANOVA, the null hypothesis for the interaction might look like this:
A)H₀: µᵤppₑᵣ × nₑw = µᵤppₑᵣ × ᵣₑtᵤᵣnᵢng = µmᵢddlₑ × nₑw = µmᵢddlₑ × ᵣₑtᵤᵣnᵢng
B)H₀: µᵤppₑᵣ × nₑw ≠ µᵤppₑᵣ × ᵣₑtᵤᵣnᵢng ≠ µmᵢddlₑ × nₑw ≠ µmᵢddlₑ × ᵣₑtᵤᵣnᵢng
C)H₁: ᵤppₑᵣ × nₑw = ᵤppₑᵣ × ᵣₑtᵤᵣnᵢng = mᵢddlₑ × nₑw = mᵢddlₑ × ᵣₑtᵤᵣnᵢng
D)H₁: ᵤppₑᵣ × nₑw ≠ ᵤppₑᵣ × ᵣₑtᵤᵣnᵢng ≠ mᵢddlₑ × nₑw ≠ mᵢddlₑ × ᵣₑtᵤᵣnᵢng

Question

Quizplus · Accepted Answer

This is the correct null hypothesis for a factorial ANOVA, where µ represents the population mean and subscripts indicate the different levels of each factor being tested. The null hypothesis states that there is no interaction between the two factors being tested, meaning that the effect of one factor on the outcome variable does not depend on the level of the other factor. The other answer choices either do not accurately represent the null hypothesis for a factorial ANOVA or provide alternative hypotheses (H₁) instead.

In a Factorial ANOVA, the Null Hypothesis for the Interaction