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1. Test priori power - Welch T test

Hi All, I didn't find the answer for how to calculate the prioir power of Welch's t-test directly. some suggest using a simulation. I know that calculate the power for "pooled variance t-test" should also give a reasonable estimation for the Welch's t-test . the power of "pooled variance t...
2. 2 sample z test - Standardized Effect Size

Hi, comparing the average of 2 groups when we know each group's standard deviation: σ1, σ2 Cohen’s effect Size = | avg(x1)- avg(x2)| / σ pooled How do you calculate the σ pooled for 2 sample z test? σ pooled^2= (n1σ1^2+n2σ2^2)/(n1+n2) {similar to t-test} or just a simple average σ...
3. Multinomial Logistic Regression - when to exclude predictor

Hi Multinomial Logistic Regression With 3 predictors X1, X2, X3 and 3 possible values for the dependent variable Y: A, B, C When you build the model before getting the results you aren't sure if X3 should be in the model. X3 is significant for ln(Pb/Pa) , but is insignificant for ln(Pc/Pa)...
4. Shapiro wilk effect size

Hi, Do you know how to calculate the effect size for Shapiro Wilk test? When using Shapiro Wilk test on a large sample, most likely it will reject H0 even for normally distributed population, since large sample will identify the minor effect as significant. Thanks :)
5. Royston approximation for Shapiro-Wilk normality test

Hi, Shapiro-Wilk article support tables only for n<=50. Patric Royston support calculations for a(i) and P-value based on W for n<=2000. and probably ok for n<=5000 in the following article "Approximating the Shapiro-Wilk W-test for non-normality" Are the values in Shapiro-Wilk article also...
6. T Test

Hi T-Test is used instead of Z-Test when we don't know the standard deviation, or when the sample size is too small (less than 31) When we know the standard deviation but the sample size is small, do we use T-Test with sample standard deviation (S)? or T-Test with the known standard deviation...