Multinomial group testing models with incomplete identification

Shaul K. Bar-Lev; Wolfgang Stadje; Frank A. van der Duyn Schouten

doi:10.1016/j.jspi.2004.05.011

Multinomial group testing models with incomplete identification

Shaul K. Bar-Lev, Wolfgang Stadje, Frank A. van der Duyn Schouten

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We study reliable multinomial probabilistic group testing models with incomplete identification. We assume that every of the pooled items has none or some of k attributes, one of them causing contamination. Any group possessing this latter attribute is discarded, while the others are collected and separated according to the attributes that were found in them. The objective is to choose an optimal group size for pooled screening so as to collect prespecified numbers of items of the various types with minimum testing expenditures. We derive exact results for the underlying distributions of the stopping times, enabling us to find optimal procedures by numerical methods.

Original language	English
Pages (from-to)	384-401
Number of pages	18
Journal	Journal of Statistical Planning and Inference
Volume	135
Issue number	2
DOIs	https://doi.org/10.1016/j.jspi.2004.05.011
State	Published - 1 Dec 2005

Bibliographical note

Funding Information:
S.K. Bar-Lev was partially supported by NWO Grant no. B61-493. The authors would like to thank Andreas Löpker for his assistance in the numerical part of this study and the referees for many valuable comments, references and suggestions which considerably improved the paper.

Keywords

Group testing
Multinomial trials
Optimal group size
Optimal truncation
Stopping rule

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/j.jspi.2004.05.011

Cite this

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KW - Group testing

KW - Multinomial trials

KW - Optimal group size

KW - Optimal truncation

KW - Stopping rule

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Multinomial group testing models with incomplete identification

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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