Let me ask you guys this.  If you calculated the power for
the Chi-Squared test using both a small and then a large numbers and did
the same for the KS test what would you find?


In article <8c4vhs$e75$[EMAIL PROTECTED]>,
[EMAIL PROTECTED] wrote:
> Herman Rubin ([EMAIL PROTECTED]) wrote:
> : How should one decide which type of test to use EXCEPT by
> : looking at its power? Statistics is not a collection of
>
> Minor details like validity come to mind. But you're exactly right,
> Herman, among tests that are valid, power is certainly an important,
if
> not the most important, criterion. But tests are sometimes chosen that
> have a reputation for high power against corner-case alternatives over
> more general tests, when these alternatives are not likely for the
> context in question. Computability (both of the test statistic and its
> critical values), though less often an issue, is also a relevant
> criterion. Finally, interpretability and understandability are
> relevant. A test or diagnostic (e.g. Q-Q or P-P plots) that gives
> richer information than just a p-value may be much more valuable than
a
> blind test. I've seen cases where a test was originally chosen over
> another because it was theoretically superior, but the superiority was
> in the sixth decimal place and the method was completely
unintelligible
> to the intended audience (this was an application journal). Of course,
> something to consider is multiple approaches: some more interpretable
> and others perhaps chosen for theoretical superiority. It might be
> worth pointing out that if you haven't done a histogram or Q-Q plot,
> you have no business performing a test.
>
> So yes, there are other criteria than power, but this is the first
> and perhaps most important criterion to consider.
>
> --
> Clark K. Gaylord
> Senior Research Engineer
> Communications Network Services
> Virginia Tech, Blacksburg, Virginia 24061-0506
> Voice: 540/231-2347 Fax: 540/231-3928 E-mail: [EMAIL PROTECTED]
>
--
Madewell
Interests: Engineering Management, Reliability Engineering,
Failure Analysis, Statistical Methods.


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