Both answers can be right.
As far as I know, overmatching can't lead to a liberal bias, a bias that
makes a treatment effect look stronger than it really is. It can only
produce a conservative bias, a bias towards the null hypothesis. If you
think that liberal biases, ones that produce false positive findings,
are the only ones worth worrying about, then you would call the tendency
to conservative biases (producing too many false negatives) as something
like loss of power rather than bias.
Here's a very nice reference that gives a good practical example of
overmatching.
Removal of radiation dose response effects: an example of over-matching.
J. L. Marsh, J. L. Hutton, K. Binks. Bmj 2002: 325(7359); 327-30.
http://www.bmj.com/cgi/content/full/325/7359/327
--
Steve Simon, Standard Disclaimer
Free statistics webinar, Wed, Oct 14, 10am CDT.
"P-values, confidence intervals, and the Bayesian alternative"
Details at www.pmean.com/webinars
John, I may be wrong, but I don't think the 'overmatching' being talked
about here has got anything to do with numbers (i.e. the case:control
ratio). Rather, I think it refers to imprudent choice of the factors by
which one matches/stratifies, in particular circumstances. An oft-cited
paper which discusses this can be found at:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1123834/
Kind Regards,
John
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