question archive Given the formula F = MSeffect / MSerror, a within-subjects design affects the ANOVA result primarily by _____, compared to a between-subjects design for the same study
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Given the formula F = MSeffect / MSerror, a within-subjects design affects the ANOVA result primarily by _____, compared to a between-subjects design for the same study.
Reducing the MS effect
Reducing the MS Error
increasing both Ms effect and MS error
reducing both MS effect and MS error
Answer:
Reducing the MS Error
Step-by-step explanation
We know that in case of within-subjects design, we have sum of square due to subjects. The sum of square due to subjects helps in lowering the mean square error value. There is no sum of square due to subjects in between-subjects design, so mean square error is not affected.
Therefore, a within-subjects design affects the ANOVA result primarily by reducing the MS Error, compared to a between-subjects design for the same study. This produces a higher value of F statistic.