Equivalent Sample Size. For equal sample sizes let σ 2 Y be the estimand corresponding to σ ˆ 2 Y 1 N 1 j 1 J i 1 n Y i j Y 2 where Y. Feb 27 2012 The procedures do not rely on conditioning on model elements such as covariates to adjust for design effects.
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Therefore as the sample size increases the absolute value of Lthetabf X is getting larger while logptheta stays fixed for a fixed value of theta thus the sum Lthetabf X logptheta becomes more heavily influenced by Lthetabf X as the sample size. The log-likelihood Lthetabf X log left pbf Xtheta right scales with the sample size since it is a function of the data while the prior density does not. And n is the dataset size.
π is said to be the uniform prior and therefore π 1 2 since this is a binary variable we are dealing with.
P k n where k is the number of successes 1. Calculation based on the formula. N A κ n B and n B p A 1 p A κ p B 1 p B z 1 α z 1 β 2 p A p B δ 2. When the difference is closer to the upper equivalence limit 05 the power of the test is lower.
