A theory on optimal factorial designs Runchu Zhang, Shengli Zhao and Pengfei Li

Format:

Book

Author/Creator:

Zhang, Runchu, author.

Zhao, Shengli, 1974- author.

LI, Pengfei (Of University of Waterloo), author.

Series:

Current natural sciences

Standardized Title:

Zui you yin xi she ji li lun. English

Language:

Chinese

English

Subjects (All):

Factorial experiment designs.

Physical Description:

1 online resource

Place of Publication:

[Les Ulis, France] Science Press, EDP Sciences [2025]

Summary:

"A Theory on Optimal Factorial Designs presents a rigorous and unified treatment of factorial design theory, centered on the general minimum lower-order confounding (GMC) criterion. It develops the theoretical foundations of the GMC criterion and demonstrates its wide-ranging applications to two-level, blocked, split-plot, compromise, robust parameter, and s-level designs, as well as to orthogonal arrays. Experimental design and analysis is a cornerstone of mathematical statistics, with extensive applications in agriculture, engineering, medicine, and the social sciences. Among established methodologies, factorial designs remain one of the most powerful and efficient tools for investigating systems involving multiple factors. The GMC criterion provides a principled framework for selecting optimal factorial designs by rigorously quantifying and minimizing confounding among factor effects. This work delivers both theoretical insights and practical methodological guidance, making it a valuable reference for researchers and graduate students in statistics and allied disciplines"-- De Gruyter Brill

Contents:

General minimum lower-order confounding criterion for 2n–m designs

General minimum lower-order confounding 2n–m designs

General minimum lower-order confounding blocked designs

Factor aliased and blocked factor aliased effect-number patterns

General minimum lower-order confounding split-plot designs

Partial aliased effect-number pattern and compromise designs

General minimum lower-order confounding criteria for robust parameter designs

General minimum lower-order confounding criterion for sn–m designs

General minimum lower-order confounding criterion for orthogonal arrays

Notes:

Translated from the Chinese

Includes bibliographical references and index

Online resource; title from PDF title page (De Gruyter Brill, viewed July 17, 2026)

Other Format:

Print version Zhang, Runchu Theory on optimal factorial designs

ISBN:

9782759839469

275983946X

OCLC:

1564841080

Access Restriction:

Restricted for use by site license