Which of the following statements about the p-value of an ANOVA test is not true?
A)The p-value for an ANOVA test is the probability of getting an F-statistic as small as or smaller than the observed value, assuming the null hypothesis is true.
B)The p-value for an ANOVA test is the probability of getting an F-statistic as large as or larger than the observed value, assuming the null hypothesis is true.
C)A very small p-value for an ANOVA test suggests that at least two population means are different.
D)A large p-value for an ANOVA test suggests that there is no evidence of differences among the population means.

Question

Quizplus · Accepted Answer

The p-value for an ANOVA test actually represents the probability of getting an F-statistic as large as or larger than the observed value, assuming the null hypothesis is true, not as small as or smaller. This means statement A is incorrect as it misrepresents the direction of the extremeness considered for the p-value in the context of ANOVA.

Which of the Following Statements About the P-Value of an ANOVA