Group divisible designs with two associate classes and \(\lambda_{2}=1\)
type: Item
instance of: scholarly article
title: Group divisible designs with two associate classes and \(\lambda_{2}=1\)
zbMATH Open document ID: 1220.05014
DOI: 10.1155/2011/148580
author: N. Pabhapote
author: N. Punnim
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2011-09-09T00:00:00Z
review text: Summary: The original classifcation of PBIBDs defined group divisible designs \(\text{GDD}(v = v_1 + v_2 + \dots + v_g, g, k, \lambda_1, \lambda_2)\) with \(\lambda_1 \neq 0\) [cf. \textit{R.C. Bose} and \textit{T. Shimamoto}, ``Classification and analysis of partially balanced incomplete block designs with two associate classes,'' J. Am. Stat. Assoc. 47, 151--184 (1952; Zbl 0048.11603)]. In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal sizes and block size three with \(\lambda_2 = 1\).
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 5946471
zbMATH Keywords: pairwise balanced incomplete block design
zbMATH Keywords: PBIBD
zbMATH Keywords: group divisible design
zbMATH Keywords: GDD
Wikidata QID: Q58687644
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/148580
OpenAlex ID: W2127319721
cites work: Group divisible designs with two associate classes: \(n=2\) or \(m=2\)
cites work: Q4552146
cites work: Q4372505
cites work: Gregarious GDDs with two associate classes
cites work: Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes
cites work: Q3411976
cites work: Q3165999
DBLP publication ID: journals/ijmmsc/PabhapoteP11
description: scientific article; zbMATH DE number 5946471