In ANOVA, which of the following statements is possible? A) SS_total

Question

In ANOVA, which of the following statements is possible? A) SS_total < SS_with B) df_total < df_with C) Both a and b are possible. D) Neither a nor b are possible.

Quizplus · Accepted Answer

In ANOVA (Analysis of Variance), the total sum of squares (SS_total) is always greater than or equal to the sum of squares within groups (SS_within) because SS_total includes both the variation within groups and the variation between groups. Similarly, the degrees of freedom for the total (df_total) are always greater than the degrees of freedom within groups (df_within) because df_total accounts for all observations, while df_within only accounts for the variation within groups, excluding the between-group variation.

In ANOVA, Which of the Following Statements Is Possible