The program gllamm runs in the statistical package Stata and estimates GLLAMMs (Generalized Linear Latent And Mixed Models) by maximum likelihood (see help gllamm after installation). gllamm maximises the marginal log-likelihood using Stata’s version of the Newton Raphson Algorithm (ml with method d0). In the case of discrete random effects or factors, the marginal log-likelihood is evaluated exactly whereas numerical integration is used for continuous (multivariate) normal random effects or factors. Two methods are available for numerical integration: Quadrature or adaptive quadrature. In both cases it is essential to make sure that a sufficient number of quadrature points has been used by comparing solutions with different numbers quadrature points. In most cases adaptive quadrature will perform better than ordinary quadrature. This is particularly the case if the cluster sizes are large and the responses include (large) counts and/or continuous variables. Even where ordinary quadrature performs well, adaptive quadrature often requires fewer quadrature points making it faster.

References in zbMATH (referenced in 20 articles )

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  1. Sheldrake, Richard: Differential predictors of under-confidence and over-confidence for mathematics and science students in England (2016) MathEduc
  2. Feddag, M.-L.: Composite likelihood estimation for multivariate probit latent traits models (2013)
  3. Hargreaves Heap, Shaun P.; Tan, Jonathan H.W.; Zizzo, Daniel John: Trust, inequality and the market (2013)
  4. Skrondal, Anders; Kuha, Jouni: Improved regression calibration (2012)
  5. Snijders, Tom A. B.; Bosker, Roel J.: Multilevel analysis. An introduction to basic and advanced multilevel modeling (2012)
  6. Cai, Li: High-dimensional exploratory item factor analysis by a Metropolis-Hastings Robbins-Monro algorithm (2010)
  7. Feddag, M.-L.; Bacci, S.: Pairwise likelihood for the longitudinal mixed Rasch model (2009)
  8. Sánchez, Brisa N.; Budtz-Jørgensen, Esben; Ryan, Louise M.: An estimating equations approach to fitting latent exposure models with longitudinal health outcomes (2009)
  9. Grün, Bettina; Leisch, Friedrich: Identifiability of finite mixtures of multinomial logit models with varying and fixed effects (2008)
  10. Grilli, Leonardo; Rampichini, Carla: A multilevel multinomial logit model for the analysis of graduates’ skills (2007)
  11. Harbord, Roger M.; Deeks, Jonathan J.; Egger, Matthias; Whiting, Penny; Sterne, Jonathan A.C.: A unification of models for meta-analysis of diagnostic accuracy studies (2007)
  12. Lee, Sik-Yum (ed.): Handbook of latent variable and related models. (2007)
  13. Rabe-Hesketh, Sophia; Skrondal, Anders: Multilevel and latent variable modeling with composite links and exploded likelihoods (2007)
  14. Webel, Karsten: Book review of: G. Molenberghs and G. Verbeke, Models for discrete longitudinal data (2007)
  15. Bottai, Matteo; Salvati, Nicola; Orsini, Nicola: Multilevel models for analyzing people’s daily movement behavior. (2006) ioport
  16. Schilling, Stephen; Bock, R.Darrell: High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature (2005)
  17. Rabe-Hesketh, Sophia; Skrondal, Anders; Pickles, Andrew: Generalized multilevel structural equation modeling (2004)
  18. Skrondal, Anders; Rabe-Hasketh, Sophia: Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. (2004)
  19. Rabe-Hesketh, Sophia; Pickles, Andrew; Skrondal, Anders: Correcting for covariate measurement error in logistic regression using nonparametric maximum likelihood estimation (2003)
  20. Skrondal, Anders; Rabe-Hesketh, Sophia: Multilevel logistic regression for polytomous data and rankings (2003)

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