D-Optimal Designs for Paired Observations in Quadratic Regression with Mixed Effects

被引:1
|
作者
Mielke, Tobias [1 ]
机构
[1] Otto Von Guericke Univ, Inst Math Stochast, Magdeburg, Germany
关键词
Mixed effect models; Optimal design; Quadratic regression; Random curvature; Random slope; Sparse sampling; MODELS;
D O I
10.1080/03610918.2012.625826
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
In mixed effect models the variability of the regression parameters has substantial influence on the choice of the optimal design. If fewer observations per individual are possible than parameters are to be estimated, the optimality results of single-group designs no longer hold. D-optimal population designs for small individual sampling schemes are considered in this article.
引用
收藏
页码:1107 / 1119
页数:13
相关论文
共 50 条
  • [1] D-OPTIMAL DESIGNS FOR QUADRATIC REGRESSION ON A HYPERCUBE
    USIKOV, NV
    [J]. INDUSTRIAL LABORATORY, 1978, 44 (07): : 967 - 971
  • [2] D-Optimal designs for quadratic regression models
    van Berkum, EEM
    Pauwels, B
    Upperman, PM
    [J]. ADVANCES IN STOCHASTIC SIMULATION METHODS, 2000, : 189 - 195
  • [3] D-optimal weighted paired comparison designs
    van Berkum, EEM
    Pauwels, B
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 110 (1-2) : 147 - 157
  • [4] ON EXACT D-OPTIMAL DESIGNS FOR REGRESSION-MODELS WITH CORRELATED OBSERVATIONS
    BISCHOFF, W
    [J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1992, 44 (02) : 229 - 238
  • [5] 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
  • [6] Maximin D-optimal designs for longitudinal mixed effects models
    Ouwens, MJNM
    Tan, FES
    Berger, MPF
    [J]. BIOMETRICS, 2002, 58 (04) : 735 - 741
  • [7] 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
  • [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 weighted polynomial regression
    [J]. Journal of Statistical Planning and Inference, 62 (02):
  • [10] D-optimal designs for weighted polynomial regression
    Fang, ZD
    [J]. STATISTICS & PROBABILITY LETTERS, 2003, 63 (02) : 205 - 213