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Testing regression models with fewer regressors.

eScholarship (California Digital Library)Published 1 January 1999Open access
Judea Pearl, Peyman Meshkat
Citations7
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TL;DR

It is shown that if the regression coefficients r ^ .

Abstract

this paper that if the regression coefficients r ij \\DeltaZ ij , chosen according to the procedure above, vanish, then all members of C 0 and only those members, must vanish as well. A special, well known choice for Z ij is the set of parent nodes of i, namely, Z ij = pa i , which yields the standard test used in validating Bayesian networks. However, when the size of pa i is large, it might be advantageous to use non-parental separators, as shown below. 2 AN EXAMPLE

Keywords

Computer Science