CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS

doi:10.1016/S0252-9602(12)60032-0

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 488-498.doi: 10.1016/S0252-9602(12)60032-0

CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS

任俊柏

School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China

收稿日期:2009-01-10 修回日期:2010-11-15 出版日期:2012-03-20 发布日期:2012-03-20
基金资助:
This work is partially supported by the NNSF of China grant 71161013 and the MOE Project of Humanities and Social Sciences No.10YGC630203.

CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS

Ren Jun-Bai

School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China

Received:2009-01-10 Revised:2010-11-15 Online:2012-03-20 Published:2012-03-20
Supported by:
This work is partially supported by the NNSF of China grant 71161013 and the MOE Project of Humanities and Social Sciences No.10YGC630203.

摘要/Abstract

摘要：

In design theory, the alias structure of regular fractional factorial designs is elegantly described with group theory. However, this approach cannot be applied to nonregular designs directly. For an arbitrary nonregular design, a natural question is how to describe the confounding relations between its effects, is there any inner structure similar to regular designs? The aim of this article is to answer this basic question. Using coefficients of indicator function, confounding structure of nonregular fractional factorial designs is obtained as linear constrains on the values of effects. A method to estimate the sparse significant effects in an arbitrary nonregular design is given through an example.

关键词: Nonregular design, alias set, partial aliasing

Abstract:

Key words: Nonregular design, alias set, partial aliasing

中图分类号:

62K15

任俊柏. CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS[J]. 数学物理学报(英文版), 2012, 32(2): 488-498.

Ren Jun-Bai. CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS[J]. Acta mathematica scientia,Series B, 2012, 32(2): 488-498.

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CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS

CONFOUNDING STRUCTURE OF TWO-LEVEL NONREGULAR FACTORIAL DESIGNS

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