BAYESIAN ANALYSIS OF ASYMMETRIC BIVARIATEORDINAL LATENT VARIABLES MODELS

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GARAH AGHAJI ASL R.; MESHKANI M.R.; FAGHIHZADEH S.; KAZEMNEJAD ANOUSHIRAVAN; BABAEI GHOLAM REZA; ZAYERI F.

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2008 | Volume:1 | Issue:2 Page(s): 139-155

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Title

BAYESIAN ANALYSIS OF ASYMMETRIC BIVARIATEORDINAL LATENT VARIABLES MODELS

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Keywords

ASYMMETRIC ORDINAL RESPONSEQ4

MCMCQ4

LATENT VARIABLEQ3

Abstract

Modeling correlated ordinal response data is usually more complex than the case of continuous and binary responses. Existing literature lacks an appropriate approach to modeling such data. For small sample sizes, however) these models lose their appeal since their inferences arc based OIl large samples. In this work, the Bayesian analysis of an asymmetric bivariate ordinal LATENT VARIABLE model has been developed. The latent response variable has been chosen to follow the generalized bivariate Gumble distribution. Using some specific priors and MCMC algorithms the regression parameters were estimated. As an application, a data set concerning Diabetic Retinopathy in 116 patients have been analyzed. This data set includes the disease status of each eye for patients as an ordinal response and a number of explanatory variables some of which are common to both eyes and the rest are organ specific.

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APA: Copy

GARAH AGHAJI ASL, R., MESHKANI, M.R., FAGHIHZADEH, S., KAZEMNEJAD, ANOUSHIRAVAN, BABAEI, GHOLAM REZA, & ZAYERI, F.. (2008). BAYESIAN ANALYSIS OF ASYMMETRIC BIVARIATEORDINAL LATENT VARIABLES MODELS. JOURNAL OF STATISTICAL SCIENCES, 1(2), 139-155. SID. https://sid.ir/paper/124108/en

Vancouver: Copy

GARAH AGHAJI ASL R., MESHKANI M.R., FAGHIHZADEH S., KAZEMNEJAD ANOUSHIRAVAN, BABAEI GHOLAM REZA, ZAYERI F.. BAYESIAN ANALYSIS OF ASYMMETRIC BIVARIATEORDINAL LATENT VARIABLES MODELS. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2008;1(2):139-155. Available from: https://sid.ir/paper/124108/en

IEEE: Copy

R. GARAH AGHAJI ASL, M.R. MESHKANI, S. FAGHIHZADEH, ANOUSHIRAVAN KAZEMNEJAD, GHOLAM REZA BABAEI, and F. ZAYERI, “BAYESIAN ANALYSIS OF ASYMMETRIC BIVARIATEORDINAL LATENT VARIABLES MODELS,” JOURNAL OF STATISTICAL SCIENCES, vol. 1, no. 2, pp. 139–155, 2008, [Online]. Available: https://sid.ir/paper/124108/en

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