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:: Volume 4, Issue 1 (9-2010) ::
J. of Stat. Sci. 2010, 4(1): 89-103 Back to browse issues page
D-efficiency of D-optimal Designs for Poisson Model with Random Intercept
Mehrdad Niaparast , Sahar Mehr-Mansour
Abstract:   (20852 Views)
The main part of optimal designs in the mixed effects models concentrates on linear models and binary models. Recently, Poisson models with random effects have been considered by some researchers. In this paper, an especial case of the mixed effects Poisson model, namely Poisson regression with random intercept is considered. Experimental design variations are obtained in terms of the random effect variance and indicated that the variations depend on the variance parameter. Using D-efficiency criterion, the impression of random effect on the experimental setting points is studied. These points are compared with the optimal experimental setting points in the corresponding model without random effect. We indicate that the D-efficiency depends on the variance of random effect.
Keywords: D-optimality, Quasi-Likelihood, D-efficiency, Poisson Regression Model, Quasi-information Matrix, Random Effect .
Full-Text [PDF 2118 kb]   (3306 Downloads)    
Type of Study: Applied | Subject: Applied Statistics
Received: 2011/12/30 | Accepted: 2012/04/22 | Published: 2020/02/18
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Niaparast M, Mehr-Mansour S. D-efficiency of D-optimal Designs for Poisson Model with Random Intercept. J. of Stat. Sci.. 2010; 4 (1) :89-103
URL: http://jss.irstat.ir/article-1-93-en.html

Volume 4, Issue 1 (9-2010) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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