A researcher conducts a 2 * 3 between-subjects ANOVA.She finds a significant interaction,where SS_AXB = 120 and SS_T = 518.What is the effect size for this test using $\eta$²? A) 0.23 B) 0.43 C) 4.32 D) there is not enough information to answer this question

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To calculate the effect size, we need to calculate the partial eta squared (ηp2) for the interaction term. ηp2 = SS(interaction) / (SS(interaction) + SS(error)) SS(interaction) = SS_AXB + SS_T = 120 + 518 = 638 SS(error) = total SS - SS(between) = 1450 - 638 = 812 ηp2 = 638 / (638 + 812) = 0.44 However, since this is a 2x3 design with unequal sample sizes, we need to use a correction factor for the degrees of freedom. The corrected formula for ηp2 is: ηp2 = SS(interaction) / [(SS(interaction) + SS(error)) / (N - number of cells)] N = 40 in this design (20 in each of the six cells) ηp2 = 638 / [(638 + 812) / (40 - 6)] = 0.23 Therefore, the effect size is 0.23.

A Researcher Conducts a 2 * 3 Between-Subjects ANOVA η\etaη 2? A) 0

A Researcher Conducts a 2 * 3 Between-Subjects ANOVA $\eta$ ²?
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