Equireplicate balanced block designs with unequal block sizes

Shashank Gupta; Byron Jones

doi:10.1093/biomet/70.2.433

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JOURNAL ARTICLE

Equireplicate balanced block designs with unequal block sizes

Shashank Gupta Byron Jones

Year: 1983 Journal: Biometrika Vol: 70 (2)Pages: 433-440 Publisher: Oxford University Press

DOI: 10.1093/biomet/70.2.433

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Abstract

Methods are given for the construction of equireplicate balanced block designs with unequal block sizes using group divisible designs. Balanced designs in which treatments are replicated 25 times or less are tabulated. The plans of these designs can be readily obtained using existing published sources. Some of the designs given here are even smaller than those in balanced incomplete blocks.

Keywords:

Mathematics Block (permutation group theory) Block design Block size Arithmetic Statistics Combinatorics Computer science

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Topics

Optimal Experimental Design Methods

Social Sciences → Decision Sciences → Management Science and Operations Research

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Statistical Methods in Clinical Trials

Physical Sciences → Mathematics → Statistics and Probability

Equireplicate balanced block designs with unequal block sizes

Abstract

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Citation History

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