In a one-way design, which of the following is true?
A) The populations must have equal means.
B) The sample sizes must be equal.
C) The mean squares between will be larger than the mean squares within if the null hypothesis is rejected.
D) The sample sizes must all differ.

Question

Quizplus · Accepted Answer

In a one-way design, if the null hypothesis (which typically states that there are no differences between group means) is rejected, it implies that the variation between group means (mean squares between) is significantly larger than the variation within groups (mean squares within). This is a fundamental aspect of ANOVA testing, where a significant F-ratio (mean squares between divided by mean squares within) indicates that at least one group mean is different from the others.

In a One-Way Design, Which of the Following Is True