Row–Column Designs with Minimum Non-orthogonality Indices

Orthogonality is an important concept in design of experiments. In the block design context, when a design is not orthogonal, some measures of or indices to non-orthogonality and characterization of designs possessing minimum non-orthogonality indices are available in the literature. In this paper,...

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Bibliographic Details
Published inJournal of the Indian Society for Probability and Statistics Vol. 24; no. 1; pp. 13 - 21
Main Author Mandal, Madhura
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.06.2023
Subjects
Mathematics and Statistics
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Research Article
Statistical Theory and Methods
Statistics
Balanced incomplete block design
Block design
Non-orthogonal design
Youden square design
Non-orthogonality index
Balanced block design
Row–column design
Generalized Youden design
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Summary:Orthogonality is an important concept in design of experiments. In the block design context, when a design is not orthogonal, some measures of or indices to non-orthogonality and characterization of designs possessing minimum non-orthogonality indices are available in the literature. In this paper, for the row–column design set-up, similar indices to non-orthogonality have been proposed and designs possessing minimum non-orthogonality indices have been characterized.
ISSN:2364-9569
2364-9569
DOI:10.1007/s41096-022-00142-5