In one-way analysis of variance,under the null hypothesis,SS_xand SS_errorcome from different sources of variation.

Question

Quizplus · Accepted Answer

In one-way analysis of variance (ANOVA), under the null hypothesis, both $SS_{between}$ (Sum of Squares Between Groups) and $SS_{error}$ (Sum of Squares Within Groups or Error Sum of Squares) measure different sources of variation, but they are not considered to come from different sources under the null hypothesis. Instead, the null hypothesis typically states that all group means are equal, implying any observed variation between groups is due to random chance rather than systematic differences between the groups.

In One-Way Analysis of Variance,under the Null Hypothesis,SSx and SSerror

In One-Way Analysis of Variance,under the Null Hypothesis,SS_xand SS_error