Anova Null Hypothesis Rejected. For one-way ANOVA you reject the null hypothesis when there is sufficient evidence to conclude that not all of the means are equal. When you reject the null hypothesis with more than 2 treatment conditions Imagine that you add a treatment effect that increases one of the population means by 10 points.
For one-way ANOVA you reject the null hypothesis when there is sufficient evidence to conclude that not all of the means are equal. No other changes occur. The data favors the alternative hypothesis.
Statistics under the null hypothesis Measure of how likely the test statistic value is under the null hypothesis P-value α Reject H 0 at level α P-value.
ANOVA tests the null hypothesis that the population means estimated by the sample means are all equal. ANOVA tests the null hypothesis that the population means estimated by the sample means are all equal. The p-value determines whether or not we reject the null hypothesis. The F -test is a Wald test.
