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The American Statistician Volume 38, 1984 - Issue 1
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Original Articles

Restrictions and Generalized Inverses in Linear Models

S. R. Searle Biological Statistics, Biometrics Unit, New York State College of Agricultural & Life Sciences, Cornell University, Ithaca, NY, 14850, USA
Pages 53-54 | Received 01 Dec 1982, Published online: 26 Mar 2012
 
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Abstract

Given any generalized inverse (X'X)− appropriate to normal equations X'Xb 0 = X'y for the linear model y = Xb + e, a procedure is given for obtaining from it a generalized inverse appropriate to a restricted model having restrictions P'b = 0 for P'b nonestimable.

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