Cost-Efficient Mixed-Level Covering Designs for Testing Experiments

A covering design is a traditional class of experimental plans for hardware and software testing purposes. This paper presents a class of size-optimal covering designs for testing experiments with mixed-level factors. Among all the factors of different levels, one or two factors have a high number o...

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Bibliographic Details
Published in:	Journal of statistical theory and practice Vol. 14; no. 1
Main Authors:	Akhtar, Yasmeen, Phoa, Frederick Kin Hing
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.03.2020
Subjects:	Algorithms Analysis and Advanced Methodologies in the Design of Experiments Mathematics and Statistics Original Article Probability Theory and Stochastic Processes Statistical Theory and Methods Statistics Covering designs Mixed covering array on hypergraph Near-continuous factors 62K15 Hyperedge coloring
ISSN:	1559-8608, 1559-8616
Online Access:	Get full text
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Summary:	A covering design is a traditional class of experimental plans for hardware and software testing purposes. This paper presents a class of size-optimal covering designs for testing experiments with mixed-level factors. Among all the factors of different levels, one or two factors have a high number of levels while other factors form a full factorial so that all level combinations among factor pairs are “covered” at least once and appeared almost equally frequent. We use the coloring techniques for hypergraphs to construct such near-balanced mixed-level covering designs with the minimum run size.
ISSN:	1559-8608 1559-8616
DOI:	10.1007/s42519-019-0062-7