D-optimal designs for Poisson regression with synergetic interaction effect

被引：2

作者：

Freise, Fritjof ^{[1
]}

Grasshoff, Ulrike ^{[2
]}

Roettger, Frank ^{[3
]}

Schwabe, Rainer ^{[4
]}

机构：

[1] Univ Vet Med Hannover, Dept Biometry Epidemiol & Informat Proc, Bunteweg 2, D-30559 Hannover, Germany

[2] Humboldt Univ, Sch Business & Econ, Unter Linden 6, D-10099 Berlin, Germany

[3] Univ Geneva, Res Ctr Stat, Blvd Pont dArve 40, CH-1205 Geneva, Switzerland

[4] Otto von Guericke Univ, Inst Math Stochast, Univ Pl 2, D-39106 Magdeburg, Germany

来源：

TEST | 2021年 / 30卷 / 04期

关键词：

D-optimal design; Poisson regression; Interaction; Synergy effect; Minimally supported design;

D O I：

10.1007/s11749-020-00752-w

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 characterize D-optimal designs in the two-dimensional Poisson regression model with synergetic interaction and provide an explicit proof. The proof is based on the idea of reparameterization of the design region in terms of contours of constant intensity. This approach leads to a substantial reduction in complexity as properties of the sensitivity can be treated along and across the contours separately. Furthermore, some extensions of this result to higher dimensions are presented.

引用

页码：1004 / 1025

页数：22

共 50 条

[1] D-optimal designs for Poisson regression with synergetic interaction effect
Fritjof Freise
Ulrike Graßhoff
Frank Röttger
Rainer Schwabe
[J]. TEST, 2021, 30 : 1004 - 1025
[2] 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
[3] 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
[4] Bayesian D-Optimal Designs for Poisson Regression Models
Zhang, Ying
Ye, Keying
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (06) : 1234 - 1247
[5] D-optimal designs for regression models with length-biased Poisson response
Ortiz, Isabel
Rodriguez, Carmelo
Martinez, Ignacio
[J]. MODA 8 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS, 2007, : 139 - +
[6] D-Optimal Designs with Interaction Coverage
Hoskins, Dean S.
Colbourn, Charles J.
Montgomery, Douglas C.
[J]. JOURNAL OF STATISTICAL THEORY AND PRACTICE, 2009, 3 (04) : 817 - 830
[7] D-Optimal designs for quadratic regression models
van Berkum, EEM
Pauwels, B
Upperman, PM
[J]. ADVANCES IN STOCHASTIC SIMULATION METHODS, 2000, : 189 - 195
[8] D-optimal designs for weighted polynomial regression
Chang, FC
Lin, GC
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 62 (02) : 317 - 331
[9] D-OPTIMAL DESIGNS FOR QUADRATIC REGRESSION ON A HYPERCUBE
USIKOV, NV
[J]. INDUSTRIAL LABORATORY, 1978, 44 (07): : 967 - 971
[10] D-optimal designs for weighted polynomial regression
Fang, ZD
[J]. STATISTICS & PROBABILITY LETTERS, 2003, 63 (02) : 205 - 213

← 1 2 3 4 5 →