A researcher conducts two studies using the one-way between-subjects ANOVA.The sum of squares between groups is smaller in Study 1 than in Study 2; the sum of squares total is the same in both studies.Using $\eta$²,in which study will the effect size be larger? A) Study 1 B) Study 2 C) there is not enough information to answer this question

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The effect size in ANOVA is often measured by eta squared (η²), which is calculated as the sum of squares between groups (SSB) divided by the total sum of squares (SST). Given that the total sum of squares is the same in both studies but the sum of squares between groups is smaller in Study 1 than in Study 2, Study 2 will have a larger value of η², indicating a larger effect size. This is because a larger SSB relative to SST suggests that a greater proportion of the total variance is accounted for by the differences between groups.

A Researcher Conducts Two Studies Using the One-Way Between-Subjects ANOVA η\etaη

A Researcher Conducts Two Studies Using the One-Way Between-Subjects ANOVA $\eta$