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Re: st: Re: power analysis for panel data
On Nov 7, 2006, at 12:57 PM, Christopher W. Ryan wrote:
The lack of any statistically significant beneficial effect of any  
of the interventions on BMI does not surprise me, given the  
generally intractable nature of obesity.  The general futility of  
simple office-based exhortations to lose weight is part of my point.
But what is the power of this study?  I don't know how to calculate  
that.  Am I failing to see statistically significant beneficial  
effects on BMI because of inadequate power?
You're right to be concerned about power here (of course there are  
other issues too such as the apparent non-random assignment to  
treatment, but I'll assume you have already thought carefully about  
those).  However, power per se is a frequentist concept that really  
only applies prior to collecting the data (or at least to analyzing  
them).  Given that you have already done the analysis, and assuming  
you do not plan to collect any more data, I'd suggest recasting the  
issue in terms of precision.  In other words, ask yourself: Do the  
confidence intervals include what would be considered substantively  
meaningful effects?  If so, then one could argue that the study was  
underpowered.  If however the confidence intervals are narrow enough  
to rule out substantively meaningful effects, then you can claim that  
your data actually provide evidence against the existence of such  
effects.
-- Phil
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