“classical” GSD - E[n] [Two-Stage / GS Designs]

posted by d_labes  – Berlin, Germany, 2015-11-30 12:15 (3062 d 14:53 ago) – Posting: # 15684
Views: 12,400

Dear Helmut,

❝ Now my questions (especially @Ben). If the CV is lower than the ‘best guess’ in the GSD we have to go full throttle with another 50 subjects. Compare the column “2nd%” which gives the chance to proceed to the 2nd part. Not only the chance is higher in the GSD, we are punished with another 50 subjects. Have a look at the TSD’s column “E[N]” giving the expected average total sample size. Much lower.


Much lower than what?
Your presentation of the GSD results is a little bit unfair. It seems that the expected N is 100.
But thats not true:

E[N] = (1-pctS2/100)*n1 + (pctS2/100)*(n1+n2)

in case of a GSD with one interim. That gives f.i. E[N] = 71.3 for CV=40% and n1=n2=50. IMHO not that much higher compared to 64 for the adaptive TSD.

The fact itselve is left: E[N]GSD > E[N]TSD, at least for this example.

Regards,

Detlew

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