The secret of WinNonlin's BE's post-hoc Power analysis [Software]

posted by yicaoting  – NanKing, China, 2011-11-08 15:55 (5322 d 03:57 ago) – Posting: # 7637
Views: 12,320

go on validating WNL's and my formula using unbalanced data

Chow and Liu's famous data, delete Subject # 23 and 24's data both in period 1 and period 2.

For original data-----------------
WNL's result is
    Power of ANOVA for Confidence Level 90.00
    Power at 20% = 0.99266427


My result is
Power Analysis   
-----------------------------------------------------------------------------
Parameter   T stat 1     T stat 2     P value 1     P value 2     Power
-----------------------------------------------------------------------------
AUC       -2.671468902  -6.120905388  0.007332086  2.78018E-06   0.992670694
-----------------------------------------------------------------------------


For ln-transformed data----------
WNL's result is
    Power of ANOVA for Confidence Level 90.00
    Power at 20% = 0.97882724


My result is
Power Analysis   
-----------------------------------------------------------------------------
Parameter   T stat 1     T stat 2     P value 1     P value 2     Power
-----------------------------------------------------------------------------
ln(AUC)   -2.168810573  -5.618247059  0.02116397   8.44382E-06   0.978844474
-----------------------------------------------------------------------------


also same at level of 0.0001. Seems my formula works as WNL's inside hiden formula.

The level of the precision is interestingly same to that of BE's 90% CI.


go on validating WNL's and my formula using full data

Original data, use 93% CI, 20% diff to detect
WNL's power = 0.99020906
My power    = 0.990218894

Original data, use 93% CI, 13% diff to detect
WNL's power = 0.82872712
My power    = 0.828839088

Ln-transed data, use 93% CI, 20% diff to detect
WNL's power = 0.97637515
My power    = 0.976397234

Ln-transed data, use 93% CI, 13% diff to detect
WNL's power = 0.72133308
My power    = 0.721483927


All the results are satisfactory. Seems I have touched into WNL's black box.


Edit: Merged two posts. [Helmut]

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