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Original Articles

Random effects in generalized linear models and the em algoritham

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Pages 3847-3856 | Received 01 Aug 1987, Published online: 27 Jun 2007

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Gerhard Tutz & Andreas Groll. (2013) Likelihood-Based Boosting in Binary and Ordinal Random Effects Models. Journal of Computational and Graphical Statistics 22:2, pages 356-378.
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Catherine Trottier. (2000) A Quasi-Score Marginal Approach In Generalized Linear Mixed Models. Statistics 33:4, pages 291-308.
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J. Jansen. (1993) A simple method for fitting a linear model involving variance components. Journal of Applied Statistics 20:4, pages 435-444.
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Marie-José Martinez & John P. Hinde. 2014. Statistical Modelling in Biostatistics and Bioinformatics. Statistical Modelling in Biostatistics and Bioinformatics 45 58 .
M. R. Urbano, J. Hinde & C. G. B. Demétrio. (2013) Dose Response Models with Natural Mortality and Random Effects. Journal of Agricultural, Biological, and Environmental Statistics 18:4, pages 594-610.
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Lide Han, Haiming Xu, Jun Zhu & Xiangyang Lou. (2008) Analysis of genetic effects of nuclear–cytoplasmic interaction on quantitative traits: Genetic models for seed traits of plants. Theoretical and Applied Genetics 116:6, pages 769-776.
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Florin VaidaXiao-Li Meng. (2016) Two slice-EM algorithms for fitting generalized linear mixed models with binary response. Statistical Modelling 5:3, pages 229-242.
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Gerhard Tutz. (2004) Generalized semiparametrically structured mixed models. Computational Statistics & Data Analysis 46:4, pages 777-800.
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Armin Gemperli & Penelope Vounatsou. (2003) Fitting Generalized Linear Mixed Models For Point-Referenced Spatial Data. Journal of Modern Applied Statistical Methods 2:2, pages 497-511.
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Dimitris Karlis. (2016) A general EM approach for maximum likelihood estimation in mixed Poisson regression models. Statistical Modelling 1:4, pages 305-318.
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J. K. Lindsey. (1999) A review of some extensions to generalized linear models. Statistics in Medicine 18:17-18, pages 2223-2236.
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Murray Aitkin. (2004) A General Maximum Likelihood Analysis of Variance Components in Generalized Linear Models. Biometrics 55:1, pages 117-128.
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John Hinde & Clarice G.B. Demétrio. (1998) Overdispersion: Models and estimation. Computational Statistics & Data Analysis 27:2, pages 151-170.
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G.R. Oskrochi & R.B. Davies. (1997) Stayers in mixed Markov renewal models. Computational Statistics & Data Analysis 25:4, pages 453-464.
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G J McLachlan. (2016) On the EM algorithm for overdispersed count data. Statistical Methods in Medical Research 6:1, pages 76-98.
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Gerhard Tutz. 1997. Handbook of Modern Item Response Theory. Handbook of Modern Item Response Theory 139 152 .
Gerhard Tutz & Wolfgang Hennevogl. (1996) Random effects in ordinal regression models. Computational Statistics & Data Analysis 22:5, pages 537-557.
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Murray Aitkin. (1996) A general maximum likelihood analysis of overdispersion in generalized linear models. Statistics and Computing 6:3, pages 251-262.
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Bas Engel & Willem Buist. (2007) Analysis of a Generalized Linear Mixed Model: A Case Study and Simulation Results. Biometrical Journal 38:1, pages 61-80.
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G.Reza Oskrochi. (1995) Analysis of censored correlated observations. Journal of Statistical Planning and Inference 47:1-2, pages 165-180.
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R. B. Davies & G. R. Oskrochi. 1995. Statistical Modelling. Statistical Modelling 67 74 .
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. 1994. Optimization Techniques in Statistics. Optimization Techniques in Statistics 325 341 .
Alan Agresti. (2006) Distribution‐free fitting of logit models with random effects for repeated categorical responses. Statistics in Medicine 12:21, pages 1969-1987.
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J. Jansen & J. A. Hoekstra. (2008) The analysis of proportions in agricultural experiments by a generalized linear mixed model. Statistica Neerlandica 47:3, pages 161-174.
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Joseph G. Brahim & Sanford Weisberg. (2008) INCOMPLETE DATA IN GENERALIZED LINEAR MODELS WITH CONTINUOUS COVARIATES. Australian Journal of Statistics 34:3, pages 461-470.
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J. Jansen. (1992) Statistical analysis of threshold data from experiments with nested errors. Computational Statistics & Data Analysis 13:3, pages 319-330.
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J.L. Foulley, M. San Cristobal, D. Gianola & S. Im. (1992) Marginal likelihood and Bayesian approaches to the analysis of heterogeneous residual variances in mixed linear Gaussian models. Computational Statistics & Data Analysis 13:3, pages 291-305.
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