Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size
type: Item
instance of: scholarly article
title: Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size
zbMATH Open document ID: 0627.62079
author: B. George
published in: Annals of the Institute of Statistical Mathematics
publication date: 1987-01-01T00:00:00Z
review text: In this paper we consider experimental situations in which v treatments are to bee tested in b blocks where \(b_ i\) blocks contain \(k_ i\) experimental units, \(i=1,...,p\), \(k_ 1<k_ 2<...<k_ p\). The idea of a group divisible (GD) design is extended to that of a group divisible design with unequal block sizes (GDUB design) and then a number of results concerning the E- and MV-optimality of GD designs are generalized to the case of GDUB designs.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 4020257
zbMATH Keywords: E-optimality
zbMATH Keywords: incidence matrix
zbMATH Keywords: concurrence matrix
zbMATH Keywords: variance balanced design
zbMATH Keywords: group divisible design
zbMATH Keywords: unequal block sizes
zbMATH Keywords: GDUB design
zbMATH Keywords: MV- optimality
zbMATH Keywords: GD designs
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4020257