Why simulate a simple AB|BA at all? [RSABE / ABEL]

posted by Helmut Homepage – Vienna, Austria, 2014-07-21 18:14 (4361 d 22:43 ago) – Posting: # 13284
Views: 15,610

Hi ElMaestro,

❝ d_labes should publish a commentary in the journal. I think his figures were sort of more telling weren't they?


Yes. Given the unpleasant experience we had last year submitting a letter to the namely journal I’m not sure whether he will risk the efforts…

BTW, I have some mixed feelings about the paper. I don’t have the slightest idea why the authors simulated the rejection rate for a conventional 2×2 cross-over. Power can be directly calculated for any given combination of α, CV, GMR, and N. One should never ever get anything >0.05! So where does this hump at N>30 in Fig. 1 come from?
Try:

library(PowerTOST)
n   <- seq(8, 100, 2)
CV  <- c(10, 20, seq(30, 55, 5))
pBE <- vector("numeric", length=length(n))
clr <- colorRampPalette(c("blue", "red"))(length(CV))
for(j in seq_along(CV)) {
  for(k in seq_along(n)) {
    pBE[k] <- power.TOST(CV=CV[j]/100, theta0=1.25, n=n[k])
    if(j == 1 & k == length(n)) {
      plot(n, pBE, type="l", ylim=c(0, 0.05), las=1, lwd=2, col=clr[j])
      abline(h=0.05, lty=3)
    }
  }
  lines(n, pBE, type="l", lwd=2, col=clr[j])
  text(n[j], pBE[j], labels=paste0(CV[j],"%"))
}


Another point are the number of simulations. We know the slow convergence in these kind of sim’s. 5,000 for power and 10,000 for empiric α are by a factor of 100 too low.

❝ […] one of the authors used to be a member of the PK subgroup back in the day.


Interesting.

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