The calculation of alias pattern in three-level regular designs

Baixi Chen, Zhiming Li, Zhi Li and Can Peng

Statistics & Probability Letters, 2023, vol. 202, issue C

Abstract: In regular designs, the alias relation reflects the confounding information among various effects and is a basis of classification patterns in optimal criteria. The paper aims to study the alias pattern of three-level regular designs. Based on the word-length pattern, we obtain the explicit formulas of the alias relations among all effects for three-level designs. Some examples are given to illustrate these results. And all alias patterns of 27-run MA designs are listed by alias matrices.

Keywords: Regular design; Defining relation; Alias pattern; Word-length pattern (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.spl.2023.109913

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