For a one-way ANOVA, the null hypothesis
A) predicts the value of F to be 1.
B) asserts that treatment had no effect.
C) attributes any differences between means to random error.
D) All of the above are true.

Question

Quizplus · Accepted Answer

The null hypothesis in a one-way ANOVA posits that there are no significant differences among the group means, which implies that any observed differences are due to random error, effectively asserting that the treatment had no effect. The value of F being 1 is not a prediction of the null hypothesis but rather an indication of no effect when the variance between groups equals the variance within groups. However, the essence of the null hypothesis encompasses the concepts in B and C, making D the most comprehensive choice.

For a One-Way ANOVA, the Null Hypothesis