Now imagine that the researcher mentioned in the scenario at

Now imagine that the researcher mentioned in the scenario at the top of this page had incorrectly computed an independent one-way ANOVA by treating the different repeated measures as different levels of a between-subjects factor. That is, the researcher believed that there were 81 unique participants with 27 participants in each of 3 conditions (i.e., he incorrectly believed that there were no repeated measures). For convenience, I have copied the sums of squares initially provided below: SSerror = 135.6 SStreatment = 105.6 SSsubjects = 1325.8 Using these sums of squares, calculate what SSerror would be if the data were incorrectly treated as independent and a one-way ANOVA had been conducted. Write your answer below. Provide one decimal place.

Solution

Now imagine that the researcher mentioned in the scenario at the top of this page had incorrectly computed an independent one-way ANOVA by treating the different repeated measures as different levels of a between-subjects factor. That is, the researcher believed that there were 81 unique participants with 27 participants in each of 3 conditions (i.e., he incorrectly believed that there were no repeated measures). For convenience, I have copied the sums of squares initially provided below: SSerror = 135.6 SStreatment = 105.6 SSsubjects = 1325.8 Using these sums of squares, calculate what SSerror would be if the data were incorrectly treated as independent and a one-way ANOVA had been conducted. Write your answer below. Provide one decimal place.

one-way ANOVA   SS error = (SSerror + SSsubjects) in repeated measure ANOVA

independent and a one-way ANOVA SS error =135.6+1325.8

= 1461.4