Explain why a randomized block design is more powerful, by definition of statist

Question

Explain why a randomized block design is more powerful, by definition of statistical power, than a completely randomized design when controlling for a nuisance variable.

A. The F-statistic is likely to be smaller for the RM design because the treatment effect is detected within subjects.

B. The F-statistic is likely to be smaller for the RM design because the treatment effect is detected between subjects.

C. The F-statistic is likely to be larger for the RM design because the treatment effect is detected within subjects.

D. The F-statistic is likely to be larger for the RM design because the treatment effect is detected between subjects.

Explanation / Answer

a randomized block design is more powerful, by definition of statistical power, than a completely randomized design when controlling for a nuisance variable, because The F-statistic is likely to be larger for the RM design because the treatment effect is detected between subjects.

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