Advantages [Two-Stage / GS Designs]

posted by ElMaestro  – Denmark, 2015-06-05 12:07 (3579 d 04:32 ago) – Posting: # 14915
Views: 19,530

Hi all,

                      sample size  p stop at

CV    alpha's  power   mean   p95%  interim

--------------------------------------------

0.15   Poc    88.13%   13.5    22    79.3%

       adjHP  88.32%   14.2    22    56.2%

0.25   Poc    81.17%   32.3    60    18.6%

       adjHP  79.91%   30.5    54     3.9%

0.4    Poc    74.95%   78.8   142     1.0%

       adjHP  75.18%   70.5   128     0.1%

0.7    Poc    72.42%  207.3   378     0%

       adjHP  72.93%  185.1   338     0%

❝ (...) Judging this as advantage or practically not is up to you :cool:.


This is a good example showing how complex the issue is.
Around CV=0.25 in this example the Pocock alphas performs better in terms of power than HP, and with a little higher sample size. CV is never known in advance of the experiment but the region of CV=0.25 is where most drugs (drug products) happen to be.

We really need some kind of summary statistic that is the ultimate indicator of whether one method is better than the other. Power divided by Avg Sample size would be my own best initial guess (to me this would be the bang you get for your buck)
I1=pwr/Navg

Or perhaps better:

I2=(pwr-0.7)/Navg


The more positive I2 the better, something like that. Negative I2 would possibly just go directly into the waste bin as I can't imagine anyone would be interested in a power lower than 0.7 or thereabouts (0.7 is taken a litle out of the blue, but I am noting that Potvin's methods all have power>0.7 for targetP=0.8).

Let me hear your opinion, do you have some ideas for a summary statistic that would help us decide between the various methods and versions?

PS: Perhaps this Q should be moved into its own separate thread?

Pass or fail!
ElMaestro

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