A rank characterization of linear models with nuisance parameters and its application to block designs
type: Item
instance of: scholarly article
title: A rank characterization of linear models with nuisance parameters and its application to block designs
zbMATH Open document ID: 0669.62065
DOI: 10.1016/0378-3758(89)90108-0
author: Jerzy K. Baksalary
published in: Journal of Statistical Planning and Inference
publication date: 1989-01-01T00:00:00Z
review text: A criterion is given for a block design to have the property that its \(v\times b\) incidence matrix is of rank v-d. In the particular case of \(d=0\), this property is called Fisher's condition, for it obviously implies Fisher's inequality \(v\leq b\). The results concerning block designs are derived from more general ones, pertaining to any linear model with nuisance parameters and to Fisher's condition extended correspondingly.
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 62J05
zbMATH DE Number: 4096621
zbMATH Keywords: efficiency factor
zbMATH Keywords: incidence matrix
zbMATH Keywords: Fisher's condition
zbMATH Keywords: Fisher's inequality
zbMATH Keywords: linear model
zbMATH Keywords: nuisance parameters
MaRDI profile type: Publication
full work available at URL: 0378-3758(89)90108-0
OpenAlex ID: W2093101075
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description: scientific article; zbMATH DE number 4096621