D-optimal Factorial Designs under Generalized Linear Models

被引：10

作者：

Yang, Jie ^{[1
]}

Mandal, Abhyuday ^{[2
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60680 USA

[2] Univ Georgia, Dept Stat, Athens, GA 30602 USA

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2015年 / 44卷 / 09期

关键词：

D-optimality; Exchange algorithm; Factorial design; Generalized linear model; Lift-one algorithm; Minimally supported design;

D O I：

10.1080/03610918.2013.815773

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：

Generalized linear models (GLMs) have been used widely for modeling the mean response both for discrete and continuous random variables with an emphasis on categorical response. Recently Yang, Mandal and Majumdar (2013) considered full factorial and fractional factorial locally D-optimal designs for binary response and two-level experimental factors. In this article, we extend their results to a general setup with response belonging to a single-parameter exponential family and for multilevel predictors.

引用

页码：2264 / 2277

页数：14

共 50 条

[21] The effect of dropout on the efficiency of D-optimal designs of linear mixed models
Ortega-Azurduy, S. A.
Tan, F. E. S.
Berger, M. P. F.
[J]. STATISTICS IN MEDICINE, 2008, 27 (14) : 2601 - 2617
[22] D-OPTIMAL FRACTIONS OF 3-LEVEL FACTORIAL DESIGNS
MITCHELL, TJ
BAYNE, CK
[J]. TECHNOMETRICS, 1978, 20 (04) : 369 - 380
[23] D-optimal designs for Poisson regression models
Wang, Yanping
Myers, Raymond H.
Smith, Eric. P.
Ye, Keying
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2006, 136 (08) : 2831 - 2845
[24] ON INVARIANCE AND RANDOMIZATION IN FACTORIAL-DESIGNS WITH APPLICATIONS TO D-OPTIMAL MAIN EFFECT DESIGNS OF THE SYMMETRICAL FACTORIAL
PESOTAN, H
RAKTOE, BL
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1988, 19 (03) : 283 - 298
[25] D-Optimal designs for quadratic regression models
van Berkum, EEM
Pauwels, B
Upperman, PM
[J]. ADVANCES IN STOCHASTIC SIMULATION METHODS, 2000, : 189 - 195
[26] D-OPTIMAL DESIGNS FOR POISSON REGRESSION MODELS
Russell, K. G.
Woods, D. C.
Lewis, S. M.
Eccleston, J. A.
[J]. STATISTICA SINICA, 2009, 19 (02) : 721 - 730
[27] D-OPTIMAL DESIGNS FOR MULTINOMIAL LOGISTIC MODELS
Bu, Xianwei
Majumdar, Dibyen
Yang, Jie
[J]. ANNALS OF STATISTICS, 2020, 48 (02): : 983 - 1000
[28] D-optimal designs for multi-response linear models with two groups
Liu, Xin
He, Lei
Yue, Rong-Xian
[J]. STAT, 2024, 13 (01):
[29] Linear models and D-optimal designs for n equivalent to 2 mod 4
Koukouvinos, C
[J]. STATISTICS & PROBABILITY LETTERS, 1996, 26 (04) : 329 - 332
[30] D-OPTIMAL DESIGNS FOR PARTIALLY NON-LINEAR REGRESSION-MODELS
HILL, PDH
[J]. TECHNOMETRICS, 1980, 22 (02) : 275 - 276

← 1 2 3 4 5 →