Minimax D-optimal designs for the logistic model

被引：50

作者：

King, J ^{[1
]}

Wong, WK ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Biostat, Los Angeles, CA 90095 USA

来源：

BIOMETRICS | 2000年 / 56卷 / 04期

关键词：

approximate designs; computer algorithm; D-optimality; efficiency; information matrix; power logistic model;

D O I：

10.1111/j.0006-341X.2000.01263.x

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose an algorithm for constructing minimax D-optimal designs for the logistic model when only the ranges of the values for both parameters are assumed known. Properties of these designs are studied and compared with optimal Bayesian designs and Sitter's (1992, Biometrics, 48, 1145-1155) minimax D-optimal kk-designs. Examples of minimax D-optimal designs are presented for the logistic and power logistic models, including a dose-response design for rheumatoid arthritis patients.

引用

页码：1263 / 1267

页数：5

共 50 条

[21] A FAMILY OF D-OPTIMAL DESIGNS
WHITEMAN, AL
[J]. ARS COMBINATORIA, 1990, 30 : 23 - 26
[22] Complex D-optimal designs
Cohn, JHE
[J]. DISCRETE MATHEMATICS, 1996, 156 (1-3) : 237 - 241
[23] Notes on D-optimal designs
Neubauer, MG
Watkins, W
Zeitlin, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1998, 280 (2-3) : 109 - 127
[24] Almost D-optimal designs
Cohn, JHE
[J]. UTILITAS MATHEMATICA, 2000, 57 : 121 - 128
[25] A MINE Alternative to D-Optimal Designs for the Linear Model
Bouffier, Amanda M.
Arnold, Jonathan
Schuettler, H. Bernd
[J]. PLOS ONE, 2014, 9 (10):
[26] ON THE NUMBER OF D-OPTIMAL DESIGNS
COHN, JHE
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1994, 66 (02) : 214 - 225
[27] D-OPTIMAL DESIGNS IN QSAR
BARONI, M
CLEMENTI, S
CRUCIANI, G
KETTANEHWOLD, N
WOLD, S
[J]. QUANTITATIVE STRUCTURE-ACTIVITY RELATIONSHIPS, 1993, 12 (03): : 225 - 231
[28] Excess and saturated D-optimal designs for the rational model
Yu. D. Grigoriev
V. B. Melas
P. V. Shpilev
[J]. Statistical Papers, 2021, 62 : 1387 - 1405
[29] Excess and saturated D-optimal designs for the rational model
Grigoriev, Yu D.
Melas, V. B.
Shpilev, P., V
[J]. STATISTICAL PAPERS, 2021, 62 (03) : 1387 - 1405
[30] D-OPTIMAL DESIGNS FOR A MULTIVARIATE REGRESSION-MODEL
KRAFFT, O
SCHAEFER, M
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1992, 42 (01) : 130 - 140

← 1 2 3 4 5 →