For the data in the source table, what is the effect size for this one-way within-groups ANOVA? $$\begin{array} { l | c | c c | c | }
\hline \text { Source } & S S & d f & M S & F \
\hline \text { Between-groups } & 39.52 & 2 & 19.76 & \
\hline \text { Subjects } & 6.45 & 5 & 1.29 & \
\hline \text { Within-groups } & 19.93 & 10 & 1.993 & \
\hline \text { Total } & 53 & 17 & & \
\hline
\end{array}$$
A) 0.837
B) 0.849
C) 1.178
D) 1.195

Question

For the data in the source table, what is the effect size for this one-way within-groups ANOVA? $$\begin{array} { l | c | c c | c | } 
\hline \text { Source } & S S & d f & M S & F \
\hline \text { Between-groups } & 39.52 & 2 & 19.76 & \
\hline \text { Subjects } & 6.45 & 5 & 1.29 & \
\hline \text { Within-groups } & 19.93 & 10 & 1.993 & \
\hline \text { Total } & 53 & 17 & & \
\hline
\end{array}$$
A) 0.837
B) 0.849
C) 1.178
D) 1.195

Quizplus · Accepted Answer

The effect size for a one-way within-groups ANOVA can be calculated using the formula for partial eta squared ($\eta_p^2$), which is $\eta_p^2 = \frac{SS_{between}}{SS_{between} + SS_{within}}$. Plugging in the values from the table, we get $\eta_p^2 = \frac{39.52}{39.52 + 19.93} = \frac{39.52}{59.45} \approx 0.665$. However, none of the provided options match this calculation, suggesting a misunderstanding in the calculation or the interpretation of the options. Given the options and the typical approach to calculating effect size in this context, it seems there might be a mistake in the calculation process described here. The correct approach should directly relate to the provided options, but without additional context or clarification on the methodology behind the options, the calculation as described does not align with the given answers. Therefore, the response based on the standard calculation of partial eta squared does not match the provided options, indicating a need for further clarification or correction.

For the Data in the Source Table, What Is the Effect