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On optimal design for a Poisson regression model with random intercept

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  • Niaparast, Mehrdad

Abstract

Most of the research on optimal designs concentrates on linear and nonlinear models with fixed effects. In this paper we discuss optimal designs for a Poisson regression model with random intercept. It is shown that the optimal designs are identical across the individuals, but depend on the variance.

Suggested Citation

  • Niaparast, Mehrdad, 2009. "On optimal design for a Poisson regression model with random intercept," Statistics & Probability Letters, Elsevier, vol. 79(6), pages 741-747, March.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:6:p:741-747
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    References listed on IDEAS

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    1. Thomas Schmelter, 2007. "The Optimality of Single-group Designs for Certain Mixed Models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(2), pages 183-193, February.
    2. Biedermann, Stefanie & Dette, Holger & Zhu, Wei, 2006. "Optimal Designs for DoseResponse Models With Restricted Design Spaces," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 747-759, June.
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    Cited by:

    1. Ueckert, Sebastian & Mentré, France, 2017. "A new method for evaluation of the Fisher information matrix for discrete mixed effect models using Monte Carlo sampling and adaptive Gaussian quadrature," Computational Statistics & Data Analysis, Elsevier, vol. 111(C), pages 203-219.
    2. Mehrdad Niaparast & Sahar MehrMansour & Rainer Schwabe, 2023. "V-optimality of designs in random effects Poisson regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(8), pages 879-897, November.
    3. H. Abebe & F. Tan & G. Breukelen & M. Berger, 2014. "Robustness of Bayesian D-optimal design for the logistic mixed model against misspecification of autocorrelation," Computational Statistics, Springer, vol. 29(6), pages 1667-1690, December.
    4. Xiao-Dong Zhou & Yun-Juan Wang & Rong-Xian Yue, 2018. "Robust population designs for longitudinal linear regression model with a random intercept," Computational Statistics, Springer, vol. 33(2), pages 903-931, June.

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