The one way to increase statistical power without increasing the chance of making an incorrect statistical decision is by: increasing beta levels increasing population variance decreasing sampling error increasing the effect size
Question
The one way to increase statistical power without increasing the chance of making an incorrect statistical decision is by: increasing beta levels increasing population variance decreasing sampling error increasing the effect size
Solution
The one way to increase statistical power without increasing the chance of making an incorrect statistical decision is by increasing the effect size.
Here's why:
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Increasing beta levels: Beta is the probability of making a Type II error (failing to reject the null hypothesis when it is false). Increasing beta levels would actually decrease statistical power, not increase it.
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Increasing population variance: This would make the data more spread out and could make it harder to detect a true effect, thus it could decrease statistical power.
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Decreasing sampling error: This could increase statistical power, but it could also increase the chance of making an incorrect statistical decision (Type I or Type II error) because it could lead to overconfidence in the results.
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Increasing the effect size: This means increasing the difference between the groups you are comparing. A larger effect size can make it easier to detect a true effect, thus increasing statistical power, without increasing the chance of making an incorrect statistical decision.
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