$\begin{array}{lcc} \hline \text { Source } & S S & d f& MS &F \ \hline \text { Between } & 4 & 2240.2 & 560.05 & 1.22 \ \text { Within } & 40 & 18434.5 & \ \text { Total } & 45 & &\ \hline \end{array}$ Which of the following best describes the F-ratio? A) It is the ratio of MS_b to MS_w, and the smaller the F-value, the greater chance of it being statistically significant. B) It is the ratio of SS_b to SS_w. C) It is the ratio of MS_b to MS_w D) The F-value is a ratio. Smaller F-values are associated with larger sample sizes.

Question

Quizplus · Accepted Answer

The F-ratio is the ratio of the mean square for between-groups variability (MS_b) and the mean square for within-groups variability (MS_w). It is used to determine whether the differences between group means are statistically significant. A larger F-value indicates a greater likelihood of significant differences between group means. Therefore, the statement in option A is incorrect. Option B is not a valid interpretation of the F-ratio. Option D is also incorrect, as the relationship between sample size and the F-value depends on other factors such as the variability in the data.

Which of the Following Best Describes the F-Ratio? A) It

Which of the Following Best Describes the F-Ratio?
A) It