Bayesian Analysis of Multivariate Probit Models with Surrogate Outcome Data

被引:0
作者
Wai-Yin Poon
Hai-Bin Wang
机构
[1] The Chinese University of Hong Kong,Department of Statistics
[2] Xiamen University,School of Mathematical Sciences
来源
Psychometrika | 2010年 / 75卷
关键词
errors-in-variables; Gibbs sampler; Metropolis–Hastings algorithm; misclassification; multivariate probit model; parameter expansion; surrogate variable;
D O I
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中图分类号
学科分类号
摘要
A new class of parametric models that generalize the multivariate probit model and the errors-in-variables model is developed to model and analyze ordinal data. A general model structure is assumed to accommodate the information that is obtained via surrogate variables. A hybrid Gibbs sampler is developed to estimate the model parameters. To obtain a rapidly converged algorithm, the parameter expansion technique is applied to the correlation structure of the multivariate probit models. The proposed model and method of analysis are demonstrated with real data examples and simulation studies.
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页码:498 / 520
页数:22
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共 81 条
[1]  
Ashford J.R.(1970)Multivariate probit analysis Biometrics 26 535-546
[2]  
Sowden R.R.(1999)Intra-cultural variation: Evidence and implications for international business Journal of International Business Studies 30 799-812
[3]  
Au K.Y.(1996)High-dimensional multivariate probit analysis Biometrics 52 1183-1194
[4]  
Bock R.D.(1997)Modeling discrete choice with response error: food stamp participation Journal of the American Statistical Association 92 827-835
[5]  
Gibbons R.D.(1990)Double sampling for the exact values in some multivariate measurement error problems Journal of the American Statistical Association 85 1075-1082
[6]  
Bollinger C.R.(2004)Two-step estimation for a generalized linear mixed model with auxiliary covariates Statistica Sinica 14 361-376
[7]  
David M.H.(2000)A robust imputation method for surrogate outcome data Biometrika 87 711-716
[8]  
Buonaccorsi J.P.(2003)Estimation of a logistic regression model with mismeasured observations Statistica Sinica 13 111-127
[9]  
Chen J.(1998)Analysis of multivariate probit models Biometrika 85 347-361
[10]  
Cai J.(1977)Maximum likelihood from incomplete data via the EM algorithm (with discussion) Journal of the Royal Statistical Society B 39 1-38