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Power Exercise: 1. Two researchers make a test concerning the effectiveness of a drug use treatment....

Power Exercise:

1. Two researchers make a test concerning the effectiveness of a drug use treatment. Researcher A determines that the effect size in the population of males is d=0.36; Researcher B determines that the effect siaze in the population of females is d = 0.20. All other things being equal, which researcher has more power to detect an effect? Explain?

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Solution: Two researchers make a test concerning the effectiveness of a drug use treatment. Researcher A determines that the effect size in the population of males is d=0.36; Researcher B determines that the effect siaze in the population of females is d = 0.20. All other things being equal, which researcher has more power to detect an effect? Explain?

Answer: Researcher A's effect size is

And Reasearcher B's effect size is

Researcher A has more power to detect an effect than the Researcher B. Because, we know that, larger the effect size (the difference between the null and alternative means) is, the greater the power of a test is.Since the effect size of Researcher A's is 0.36, which is greater than the effect size of Researcher B's 0.20, therefore Researcher A has more power to detect an effect than Researcher B.

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