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Article #457

Goodness of Fit with Zero Degrees of Freedom

#457
From: Chuck Haas
Date: Thu, 08 Oct 1992 14:49
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Suppose I have a set of categorical data.
						trait present				trait absent				group  totals
group	a	a1												a0											at
group b		b1												b0											bt
... etc.

The group totals should be regarded as fixed.  I fit a model to this
data.  If the model has k parameters and there are m groups, then I know
that I could do a goodness of fit test (e.g., Fisher chi-square or
likelihood ratio) and compare to the chi-square distribution with m-k
degrees of freedom.

Suppose, however, that I fit a model with k=m parameters.  How do I then
test goodness of fit.  In other words, how much slippage should be
allowed before I reject the null hypothesis of model adequacy
(conditional on the parameters)?

Charles N. Haas
Professor, Environmental Engineering
Drexel University, Philadelphia PA 19104
======================================
CHaas@COE.Drexel.Edu
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From: chaas@coe.drexel.edu (Chuck Haas)
Newsgroups: sci.math.stat
Subject: Goodness of Fit with Zero Degrees of Freedom
Message-ID: <1992Oct8.144919.21524@cbis.ece.drexel.edu>
Date: 8 Oct 92 14:49:19 GMT
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