With one-way, independent groups ANOVA, increasing N causes MS_between to decrease, thereby producing an increase in power.

Question

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Increasing N (sample size) in one-way, independent groups ANOVA does not cause MSSbetween (Mean Sum of Squares Between Groups) to decrease. Instead, increasing N generally increases the power by reducing the error variance (MSSwithin or Mean Sum of Squares Within Groups), making it easier to detect a true effect if one exists.

With One-Way, Independent Groups ANOVA, Increasing N Causes MSbetween to Decrease

With One-Way, Independent Groups ANOVA, Increasing N Causes MS_between to Decrease