Two researchers make a test concerning the effects of music on mood. Researcher A tests the...
Two researchers make a test concerning the effects of music on mood. Researcher A tests the effects of rock music on mood and determines that the likelihood of committing a Type II error is = .20; Researcher B tests the effects of classical music on mood and determines that the likelihood of committing a Type II error is = .40. All other things being equal, which researcher has more power to detect an effect? Explain.
Homework Answers
Answer
we know that power = 1 - beta
where beta is the probability of type II error
Power for researcher A is
Power = 1 - beta
= 1-0.20
= 0.80 or 80%
Power for researcher B is
Power = 1 - beta
= 1-0.40
= 0.60 or 60%
Therefore, it is clear that the researcher A has more power to detect an effect as compared to the researcher B because the power to detect an effect is higher for researcher A as compared to researcher B
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