At 08:10 PM 11/17/2002, Elliot Cramer wrote:

I treat it as a bet where on repeated samples I bet that mu is in the
region.  I win 95% of the time
this is precisely why we don't adopt things like 38% CIs ... or 49% CIs ... we would like the odds to be in our favor

another way to illustrate the above is to, when your CI is calculated ... draw out a long number line ... which would contain all the theoretically possible values of the variable of interest ... section off the segment that the CI occupies ... and THEN offer the bet ...

you say ... i bet (whatever) mu is in this segment ... and as long as you have more than one bet ... you are bound to come out ahead (of course, the problem is trying to find a naiive person to take your bets!)



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dennis roberts, educational psychology, penn state university
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