A modified weighted pairwise likelihood estimator for a class of random effects models

被引:1
作者
Florios K. [1 ]
Moustaki I. [2 ]
Rizopoulos D. [3 ]
Vasdekis V.G.S. [1 ]
机构
[1] Department of Statistics, Athens University of Economics and Business, Athens
[2] Department of Statistics, London School of Economics, London
[3] Department of Biostatistics, Erasmus University Medical Center, Rotterdam
关键词
Categorical data; Composite likelihood; Generalised linear latent variables; Longitudinal data;
D O I
10.1007/s40300-015-0070-7
中图分类号
学科分类号
摘要
Composite likelihood estimation has been proposed in the literature for handling intractable likelihoods. In particular, pairwise likelihood estimation has been recently proposed to estimate models with latent variables and random effects that involve high dimensional integrals. Pairwise estimators are asymptotically consistent and normally distributed but not the most efficient among consistent estimators. Vasdekis et al. (Biostatistics 15:677-689, 2014) proposed a weighted estimator that is found to be more efficient than the unweighted pairwise estimator produced by separate maximizations of pairwise likelihoods. In this paper, we propose a modification to that weighted estimator that leads to simpler computations and study its performance through simulations and a real application. © 2015 Sapienza Università di Roma.
引用
收藏
页码:217 / 228
页数:11
相关论文
共 20 条
[1]  
Arnold B.C., Strauss D., Pseudolikelihood estimation: Some examples, Sankya Indian J. Stat., 53, pp. 233-243, (1991)
[2]  
Bartholomew D.J., Knott M., Moustaki I., Latent Variable Models and Factor Analysis: A Unified Approach, (2011)
[3]  
Bates D., Maechler M., Bolker B., Lme4: Linear Mixed-effects Models Using s4 Classes [Computer Software Manual], (2012)
[4]  
Chan W., Bentler P., Covariance structure analysis of ordinal ipsative data, Psychometrika, 63, pp. 369-399, (1998)
[5]  
Cox D.R., Reid N., A note on pseudolikelihood constructed from marginal densities, Biometrika, 91, pp. 729-737, (2004)
[6]  
Fieuws S., Verbeke G., Pairwise fitting of mixed models for the joint modeling of multivariate longitudinal profiles, Biometrics, 62, pp. 424-431, (2006)
[7]  
Geys H., Molenberghs G., Ryan L.M., Pseudolikelihood modeling of multivariate outcomes in developmental toxicology, J. Am. Stat. Assoc., 94, pp. 734-745, (1999)
[8]  
Joreskog K.G., Moustaki I., Factor analysis of ordinal variables: A comparison of three approaches, Multivar. Behav. Res., 36, pp. 347-387, (2001)
[9]  
Katsikatsou M., Moustaki I., Yang-Wallentin F., Joreskog K.G., Pairwise likelihood estimation for factor analysis models with ordinal data, Comput. Stat. Data Anal., 56, pp. 4243-4258, (2012)
[10]  
Katsikatsou M., Composite Likelihood Estimation for Latent Variable Models with Ordinal and Continuous or Ranking Variables (Unpublished Doctoral Dissertation), (2013)