What is the effect size (partial eta squared) for this analysis?

A social psychologist would like to examine the relationship between personal appearance and authority. A special questionnaire is prepared which requires very careful attention to instructions in order to fill it in correctly. Three random samples of college students are obtained. For the first group, the psychologist dresses very casually (blue jeans and T-shirt) when the questionnaire is administered. For the second sample, the psychologist wears a suit, and for the third sample, the psychologist wears a very “scientific” laboratory coat. The psychologist records the number of errors made by each individual while completing the questionnaire. These data are as follows:

Blue Jeans Suit Lab Coat
4 2 1
5 4 2
4 1 1
7 3 2
4 2 2


Ans: .678

Education

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