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The Confounding Property of Main Effects in Two-Level Regular Designs

School of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830017, China
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Abstract

The paper aims to study the formulas of the confounding index pattern between main effects and other-order effects in two-level regular designs. The relationship between the alias matrix and aliased effect-number pattern is investigated with the index pattern. Through the aliased effect-number pattern, we provide the formula of the important elements in the confounding index pattern. The optimal designs are listed and compared under different conditions in tables.

Keywords

alias matrixconfounding index patternaliased effect-number patterntwo-level regular designs
CLC number: O212.6 Document code: A Article ID: 2096-7675(2023)02-0175-09

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Journal of Xinjiang University(Natural Science Edition in Chinese and English)
Volume 40 Issue 2,
March 2023
Pages 175-183
DOI: 10.13568/j.cnki.651094.651316.2022.03.18.0001

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MINAIWAER Y, LI Z. The Confounding Property of Main Effects in Two-Level Regular Designs. Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2023, 40(2): 175-183. https://doi.org/10.13568/j.cnki.651094.651316.2022.03.18.0001

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Received: 18 March 2022
Published: 01 March 2023
© 2023 Journal of Xinjiang University (Natural Science Edition in Chinese and English)