Four equivalent definitions of reparametrizations and restrictions in linear models

DOI10.1080/03610929308831018zbMath0777.62069OpenAlexW2151206185MaRDI QIDQ3137542

Julio L. Peixoto

Publication date: 1 November 1993

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929308831018

zbMATH Keywords

affine transformationrestrictionscoefficient of determinationdegrees of freedomresidual vectorreparametrizationsequivalent definitionscolumn spacesdifferent response vectorsestimation setsresidual vectorstests of nonhomogeneous hypothesestransformations of linear models

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Linear inference, regression (62J99)

Related Items (3)

On misspecification of the dispersion matrix in mixed linear models ⋮ Linear sufficiency and completeness in the context of estimating the parametric function in the general Gauss-Markov model ⋮ A note on the equality of the OLSE and the BLUE of the parametric function in the general Gauss-Markov model

Cites Work

• Testable hypotheses in singular fixed linear models
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