bow TIE for NTIDs [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2018-02-05 19:10 (2323 d 10:28 ago) – Posting: # 18357
Views: 20,458

Hi Astea,

❝ I tried this:

❝ type1error.2TOST(CV=c(0.3,0.25), n=122, theta1=c(0.8, 0.9), theta2=c(1.25, 1.11), rho=0.9, details = FALSE)

❝ [1] 0.05000015

❝ Warning:

❝ Result of maximization over nullset may not be reliable.


[image]Another function under revision… Starting with 1.4.6.9000 subject simulations are performed which take substantially longer than with the previous code. The approach used in ≤1.4.6 (based on the 4-dimensio­nal t-distribution) was flawed. :-(
In the new version with the argument details=TRUE showing the TIE for all eight intersection null sets:
type1error.2TOST(CV=c(0.3, 0.25), n=122, theta1=c(0.8, 0.9),
                       theta2=c(1.25, 1/0.9), rho=0.9, details=TRUE)


1e+06 simulations. Time consumed (secs)
   user  system elapsed
 165.97   25.16  191.57

  Intersection null P(Type I Error) theta0 #1 theta0 #2
1      H_A01 n H_Ca        0.049639 0.8000000 0.9494219
2      H_A02 n H_Ca        0.049800 1.2500000 1.0630689
3      H_Aa n H_C01       
0.050149 0.9948235 0.9000000
4      H_Aa n H_C02        0.050005 0.9775390 1.1111111
5     H_A01 n H_C01        0.031504 0.8000000 0.9000000
6     H_A01 n H_C02        0.000000 0.8000000 1.1111111
7     H_A02 n H_C01        0.000000 1.2500000 0.9000000
8     H_A02 n H_C02        0.031817 1.2500000 1.1111111


❝ The best statisticians I've ever met told me they are not actually statisticians. Neither am I...


Welcome to the club!

❝ P.S. 111.00 instead of logical 111.11 because it was written in the mentioned guideline.


Where did you find that? 90.00–111.11% for AUC0–t of sirolimus, AUC0–72 of tacrolimus and everolimus.

❝ Increadible rounding methods!


I’m not willing to accept 111.11%. Heck, with an acceptable ∆ of 10% we get \(100(1-\Delta)^{-1}=111.1\dot{1}\) – nothing else! I will not eradicate my second-grade math only cause this number was proclaimed ex cathedra as truth by the omniscient almighty oracle. Had to swallow already rounding of the CI. Double rounding? Gimme a break!

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