In the analysis of variance, the more the null hypothesis is false,
A) the larger the value of F .
B) the smaller the value of F .
C) the smaller the value of the correlation coefficient.
D) the harder it is to find a significant difference.

Question

Quizplus · Accepted Answer

When the null hypothesis is false, it means that there is a significant difference between the groups being compared. This results in larger differences between the group means, which, in turn, increases the numerator of the F-statistic in ANOVA. As a result, the value of F increases, making it easier to reject the null hypothesis and find a significant difference between the groups. Therefore, the correct choice is A.

In the Analysis of Variance, the More the Null Hypothesis