Balanced Designs with Unequal Replications and Unequal Block Sizes

A. C. Kulshreshtha; Aloke Dey; G. M. Saha

doi:10.1214/aoms/1177692487

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Balanced Designs with Unequal Replications and Unequal Block Sizes

A. C. Kulshreshtha Aloke Dey G. M. Saha

Year: 1972 Journal: The Annals of Mathematical Statistics Vol: 43 (4)Pages: 1342-1345 Publisher: Institute of Mathematical Statistics

DOI: 10.1214/aoms/1177692487

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Abstract

Using two distinct BIB designs with the same number of treatments, a method of construction of balanced binary and ternary designs with unequal block sizes and unequal replications is given. The method is a generalization of the method of construction of balanced designs, given by John [6].

Keywords:

Mathematics Generalization Ternary operation Block (permutation group theory) Binary number Combinatorics Statistics Arithmetic Computer science Mathematical analysis Programming language

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Optimal Experimental Design Methods

Social Sciences → Decision Sciences → Management Science and Operations Research

Statistical Methods in Clinical Trials

Physical Sciences → Mathematics → Statistics and Probability

graph theory and CDMA systems

Physical Sciences → Engineering → Electrical and Electronic Engineering

Balanced Designs with Unequal Replications and Unequal Block Sizes

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