EXPERIMENTAL-DESIGNS FOR MODEL DISCRIMINATION

被引：44

作者：

PUKELSHEIM, F ^{[1
]}

ROSENBERGER, JL ^{[1
]}

机构：

[1] PENN STATE UNIV,DEPT STAT,UNIV PK,PA 16802

来源：

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION | 1993年 / 88卷 / 422期

关键词：

AUGMENTATION DESIGNS; D-OPTIMALITY; DESIGNS WITH GUARANTEED EFFICIENCIES; GENERAL EQUIVALENCE THEOREM; MIXTURE DESIGNS;

D O I：

10.2307/2290346

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：

We present designs that perform well for several objectives simultaneously. Three different approaches are discussed: to augment a given design in an optimal way, to evaluate a mixture of the various criteria, and to optimize one objective subject to achieving a prescribed efficiency level for the others. Our sample designs are for the situation of discriminating between a second- and third-degree polynomial fit, under the D-criterion and geometric mixtures of D-criteria.

引用

页码：642 / 649

页数：8

共 31 条

[1] ATKINSON AC, 1974, J ROY STAT SOC B MET, V36, P321
[2] ATKINSON AC, 1975, BIOMETRIKA, V62, P289, DOI 10.2307/2335364
[3] ATKINSON AC, 1975, BIOMETRIKA, V62, P57, DOI 10.1093/biomet/62.1.57
[4] ATKINSON AC, 1972, BIOMETRIKA, V59, P275, DOI 10.1093/biomet/59.2.275
[5] Balinski ML, 1982, FAIR REPRESENTATION
[6] BOX GEP, 1959, J AM STAT ASSOC, V54, P622
[7] BUNKE H, 1986, STATISTICAL METHODS, V1
[8] OPTIMAL BAYESIAN EXPERIMENTAL-DESIGN FOR LINEAR-MODELS
CHALONER, K
[J]. ANNALS OF STATISTICS, 1984, 12 (01) : 283 - 300
[9] MODEL ROBUST, LINEAR-OPTIMAL DESIGNS
COOK, RD
NACHTSHEIM, CJ
[J]. TECHNOMETRICS, 1982, 24 (01) : 49 - 54
[10] OPTIMAL REGRESSION DESIGNS WITH PREVIOUS OBSERVATIONS
COVEYCRUMP, PA
SILVEY, SD
[J]. BIOMETRIKA, 1970, 57 (03) : 551 - +

← 1 2 3 4 →