[Step-by-Step] Your research group is investigating the efficacy of an intervention designed to prevent cognitive decline among older adults. A group of
Question: Your research group is investigating the efficacy of an intervention designed to prevent cognitive decline among older adults. A group of subjects will be assigned to receive a daily structured cognitive training exercise, while the other group will receive no intervention. Based on previous research, you expect that 15% of those in the control arm will meet the criteria for Mild Cognitive Impairment (MCI) after one year. You are hoping that the cognitive training intervention will reduce this risk to 5%.
- Assuming equal group sizes and a type I error rate of 5%, how many participants would you need in your study to achieve 80% power?
- Suppose you are not able to recruit as many subjects as you calculated in a). Holding all else constant, how would this affect the power of your study?
- Suppose you decided that even a 10% risk of MCI in the intervention group (compared to the expected 15% risk in the control group) would be a clinically meaningful reduction of risk. Holding all else constant, how would the sample size needed to achieve 80% power in this scenario compare to the sample size calculated in a)?
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