A Bayes Inference for Ordinal Response with Latent Variable Approach

被引:6
|
作者
Sha, Naijun [1 ,2 ]
Dechi, Benard Owusu [1 ]
机构
[1] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA
[2] 500 W Univ Ave, El Paso, TX 79968 USA
来源
STATS | 2019年 / 2卷 / 02期
关键词
ordinal outcome; latent variable; Bayesian inference; Dirichlet prior; MCMC sampling; SELECTION; MODELS;
D O I
10.3390/stats2020023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we propose a Bayesian model for the analysis of categorical data with an ordered outcome. The method provides a latent variable approach with an informative prior transformed from a Dirichlet distribution for the boundary parameters. A simulation study is carried out to assess the performance of the methods under various settings of the data structure. Our method produces predictive accuracy over the conventional classification procedures. Real data are analyzed to demonstrate the efficiency of the proposed method.
引用
收藏
页码:321 / 331
页数:11
相关论文
共 50 条
  • [1] A Composite Likelihood Inference in Latent Variable Models for Ordinal Longitudinal Responses
    Vasdekis, Vassilis G. S.
    Cagnone, Silvia
    Moustaki, Irini
    [J]. PSYCHOMETRIKA, 2012, 77 (03) : 425 - 441
  • [2] A Composite Likelihood Inference in Latent Variable Models for Ordinal Longitudinal Responses
    Vassilis G. S. Vasdekis
    Silvia Cagnone
    Irini Moustaki
    [J]. Psychometrika, 2012, 77 : 425 - 441
  • [3] Sentiment as an Ordinal Latent Variable
    Stoehr, Niklas
    Cotterell, Ryan
    Schein, Aaron
    [J]. 17TH CONFERENCE OF THE EUROPEAN CHAPTER OF THE ASSOCIATION FOR COMPUTATIONAL LINGUISTICS, EACL 2023, 2023, : 103 - 115
  • [4] Inference for dynamic and latent variable models via iterated, perturbed Bayes maps
    Ionides, Edward L.
    Dao Nguyen
    Atchade, Yves
    Stoev, Stilian
    King, Aaron A.
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2015, 112 (03) : 719 - 724
  • [5] Statistical inference for equivalence trials with ordinal responses: A latent normal distribution approach
    Tang, Man-Lai
    Poon, Wai-Yin
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2007, 51 (12) : 5918 - 5926
  • [6] A latent variable model for ordinal variables
    Moustaki, I
    [J]. APPLIED PSYCHOLOGICAL MEASUREMENT, 2000, 24 (03) : 211 - 223
  • [7] LATENT VARIABLE MODELS FOR CLUSTERED ORDINAL DATA
    QU, YS
    PIEDMONTE, MR
    MEDENDORP, SV
    [J]. BIOMETRICS, 1995, 51 (01) : 268 - 275
  • [8] An Ordinal Latent Variable Model of Conflict Intensity
    Stoehr, Niklas
    Hennigen, Lucas Torroba
    Valvoda, Josef
    West, Robert
    Cotterell, Ryan
    Schein, Aaron
    [J]. PROCEEDINGS OF THE 61ST ANNUAL MEETING OF THE ASSOCIATION FOR COMPUTATIONAL LINGUISTICS, ACL 2023, VOL 1, 2023, : 4817 - 4830
  • [9] Latent variable models with ordinal categorical covariates
    Poon, Wai-Yin
    Wang, Hai-Bin
    [J]. STATISTICS AND COMPUTING, 2012, 22 (05) : 1135 - 1154
  • [10] Latent variable models with ordinal categorical covariates
    Wai-Yin Poon
    Hai-Bin Wang
    [J]. Statistics and Computing, 2012, 22 : 1135 - 1154