For J = 2 and $\alpha$= .05, if the result of the one-factor fixed-effects ANOVA is nonsignificant, then the result of the independent t test using the same data set and same $\alpha$level will be
A) significant.
B) nonsignificant.
C) uncertain.
D) depend on the sample sizes.

Question

Quizplus · Accepted Answer

When the one-factor fixed-effects ANOVA is nonsignificant, it indicates that there is no significant difference among the group means. Given that the independent t-test is a simpler comparison (typically between two groups or conditions), if the broader ANOVA does not find significant differences, the t-test, using the same dataset and significance level, is also likely to be nonsignificant. This is because the t-test is less powerful than ANOVA when comparing more than two groups, and if a difference isn't detected by ANOVA, it's unlikely to be detected by a t-test on the same data.

For J = 2 And α\alphaα = 05, If the Result of the One-Factor Fixed-Effects ANOVA Is

For J = 2 And $\alpha$ = 05, If the Result of the One-Factor Fixed-Effects ANOVA Is