Reference for CI ⇒ MSE [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2014-12-14 02:51 (3712 d 00:54 ago) – Posting: # 14070
Views: 17,082

Hi Monica,

❝ […] the mexican regulatory agency asked for a scientific justification or a bibliography where the robustness of the formula can be proved/demosntrated. Do you have the specific reference of this?


Nothing about robustness yet, but by chance I found a reference* in my files “[…] how to retrieve residual intrasubject mean squared error from historical summary results in the literature.” ;-)
Given in the Examples 2–4: 90% CI 0.83–1.15, N 30Detlew Labes implemented my formulas in the R package PowerTOST, function CI2CV(). With this little code

library(PowerTOST)
LL  <- 0.83
UL  <- 1.15
N   <- 30
des <- c("paired", "2x2x2", "3x6x3")
for (j in seq_along(des)) {
  cat(sprintf("%6s design: intrasubject MSE %.4f%s", des[j],
              CV2mse(CI2CV(lower=LL, upper=UL, n=N, design=des[j],
              alpha=0.05)), "\n"))
}


I got…

paired design: intrasubject MSE 0.1381
 2x2x2 design: intrasubject MSE 0.1378
 3x6x3 design: intrasubject MSE 0.1425


… matching results of the reference.

Hope it’s not too late for the authority…



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