HW5 - HW5. Effect Size, Power and Sample Size Estimations...

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HW5. Effect Size, Power and Sample Size Estimations Problem 1. Our research hypothesis is that patients with A-T will show decreased (from 20% to 30%) brain glucose metabolism in the cerebellar cortex due to decreased inhibitory modulation by Purkinje cells in the cerebellum when compared with their homozygous non affected siblings. For this hypothesis, a paired samples t-test will be performed to examine whether A- T patients have decreased brain glucose metabolism in cerebellar cortex in comparison to their homozygous non-affected siblings. The standard deviations for the two groups (A-T patients and their unaffected siblings) are estimated to be equal and is about 10 ~ 15% of the unaffected sibling mean brain glucose metabolism in the cerebellar cortex. Ten A-T patients and 10 of their unaffected siblings will be recruited for the study. Please answer the following questions. 1. Given a conservative estimation of a correlation of 0.5 between sibling pairs, please prove that the estimated standard deviation of the paired differences is also 10 to 15% of the non-affected sibling mean. 2.
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HW5 - HW5. Effect Size, Power and Sample Size Estimations...

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