Latent variable models with ordinal categorical covariates

Wai-Yin Poon; Hai-Bin Wang

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Latent variable models with ordinal categorical covariates

机译：具有序数分类协变量的潜在变量模型

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摘要

We propose a general latent variable model for multivariate ordinal categorical variables, in which both the responses and the covariates are ordinal, to assess the effect of the covariates on the responses and to model the covari-ance structure of the response variables. A fully Bayesian approach is employed to analyze the model. The Gibbs sam-pler is used to simulate the joint posterior distribution of the latent variables and the parameters, and the parame-ter expansion and reparameterization techniques are used to speed up the convergence procedure. The proposed model and method are demonstrated by simulation studies and a real data example.

机译：我们为多元有序分类变量提出了一个通用的潜在变量模型，其中响应和协变量都是有序的，以评估协变量对响应的影响并为响应变量的协方差结构建模。采用完全贝叶斯方法来分析模型。 Gibbs sam-pler用于模拟潜在变量和参数的联合后验分布，并且参数扩展和重新参数化技术用于加快收敛过程。通过仿真研究和一个真实的数据实例证明了所提出的模型和方法。

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来源
《Statistics and computing》 |2012年第5期|p.1135-1154|共20页
作者
Wai-Yin Poon; Hai-Bin Wang;
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作者单位

Department of Statistics, The Chinese University of Hong Kong,Shatin, Hong Kong, China;

School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;

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正文语种 eng
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关键词
gibbs sampler; latent variable model; ordinal categorical variable; parameter expansion; reparameterization; structural equation model;

机译：吉布斯采样器潜变量模型有序分类变量;参数扩展重新参数化结构方程模型;

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专利

1. A general class of latent variable models for ordinal manifest variables with covariate effects on the manifest and latent variables [J] . Irini Moustaki The British journal of mathematical and statistical psychology . 2003,第2期

机译：序数清单变量的潜在变量模型的一般类别，对清单和潜在变量具有协变量影响
2. Factor Models for Ordinal Variables With Covariate Effects on the Manifest and Latent Variables: A Comparison of LISREL and IRT Approaches [J] . Irini Moustaki, Karl G. Jreskog, Dimitris Mavridis Structural Equation Modeling: A Multidisciplinary Journal . 2004,第4期

机译：对清单变量和潜在变量具有协变量影响的序数变量的因子模型：LISREL和IRT方法的比较
3. The LASSO on latent indices for regression modeling with ordinal categorical predictors [J] . Computational statistics & data analysis . 2020,第期

机译：rasso对秩序分类预测因子回归建模的潜在指标
4. Improve the Bayesian Generalized Latent Variable Models with Non-linear Variable and Covariate of Dichotomous Data [C] . Thanoon Y. Thanoon, Robiah Adnan International Conference of Mathematics . 2019

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5. An ordinal logistic regression model with misclassification of the outcome variable and categorical covariate. [D] . Shirkey, Beverly Ann. 2009

机译：具有结果变量和分类协变量分类错误的序数逻辑回归模型。
6. Ordinal latent variable models and their application in the study of newly licensed teenage drivers [O] . John C. Jackson, Paul S. Albert, Zhiwei Zhang, -1

机译：序数潜在变量模型及其在新获得牌照的青少年驾驶员研究中的应用
7. Latent variable models with ordinal categorical covariates [O] . Poon Wai-Yin, Wang Hai-Bin, 王海滨 2012

机译：具有序数分类协变量的潜在变量模型

Latent variable models with ordinal categorical covariates

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