Theory and computation of restricted linear models
type: Item
instance of: scholarly article
title: Theory and computation of restricted linear models
zbMATH Open document ID: 0663.62076
DOI: 10.1007/BF02007242
author: Naiwu Chen
author: Jiankeng Li
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1988-01-01T00:00:00Z
review text: Least squares inverses and complementary matrices are used to develop a comprehensive theory of estimation for a restricted linear model. Testable hypotheses as defined in \textit{S. R. Searle} [Linear models. (1971; Zbl 0218.62071)] are extended to involve nonestimable functions. An explicit expression for the sum of squares of deviation from the null hypothesis under the general setup with restrictions and the corresponding number of degrees of freedom are obtained for implementation on computers.
Mathematics Subject Classification ID: 62J99
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62H15
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 4084778
zbMATH Keywords: Least squares inverses
zbMATH Keywords: complementary matrices
zbMATH Keywords: restricted linear model
zbMATH Keywords: Testable hypotheses
zbMATH Keywords: nonestimable functions
zbMATH Keywords: degrees of freedom
MaRDI profile type: Publication
cites work: Q3660706
cites work: Q3707157
cites work: Quadratic Forms and Idempotent Matrices with Random Elements
cites work: Q4147487
cites work: Linear Statistical Inference and its Applications
cites work: Q5623132
cites work: Q3218902
cites work: Q3851452
full work available at URL: https://doi.org/10.1007/bf02007242
OpenAlex ID: W2034075115
description: scientific article; zbMATH DE number 4084778