PROJECTION PROPERTIES OF PLACKETT AND BURMAN DESIGNS

被引：118

作者：

LIN, DKJ ^{[1
]}

DRAPER, NR ^{[1
]}

机构：

[1] UNIV WISCONSIN, DEPT STAT, MADISON, WI 53706 USA

来源：

TECHNOMETRICS | 1992年 / 34卷 / 04期

关键词：

ADDING RUNS; HADAMARD MATRICES; RESPONSE SURFACES; SCREENING DESIGNS; 2-LEVEL DESIGNS;

D O I：

10.2307/1268941

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The projection properties of the 2(R)q-p fractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2-5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.

引用

页码：423 / 428

页数：6

共 16 条

[1]

BAUMERT L, 1962, B AM MATH SOC, V68, P237, DOI 10.1090/S0002-9904-1962-10761-7

[2]

BOX GEP, IN PRESS QUALITY ENG, V4

[3]

BOX GEP, 1978, STATISTICS EXPT

[4] ANOTHER LOOK AT ROTATABILITY [J].