Analysis of Two Populations Dichotomous Data in Latent Variable Models Using Bayesian Approach

Section: Research Paper
Issue
Vol. 20 No. 2 (2023): Volume 20 Issue 2
Published
Jun 25, 2025
Pages
57-81

Abstract

In this paper, our main objective is to use a latent variable model and to propose a suitable model with features such as a nonlinear fixed covariates and latent variables based on different models that could be described both based on mathematical as well as structural model. We also used dichotomous (Binary) variables in Non-Linear latent variables model for two populations by using Bayesian approach as well as the Gibbs sampling method to find the comparison, differences and similarities based on different data points and estimate them accordingly. We have also included Hidden continuous normal distribution that can be both censored and truncated based on the type and need of the moment using which we can screen the different aspects involved in analysing the data and further Gibbs sampling method can also be used in the same filtering. It is often used in a view to solve the problem related to dichotomous data and accordingly relate it to different variables as a continuous normal distribution. We can also make use of various inferences derived based on the statistical results that include all the perspectives considering the scope of standard errors, most common methods, simplified approaches, and highest posterior density problem for testing and so on. All the theories are substantiated using real data and the results obtained from them using the OpenBugs program. Its obvious from the results of DIS that the results of interval censored normal distribution was the best, then, the results of interval truncated normal distribution and, finally, the results of continuous normal distribution.

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Authors

Thanoon Youns Thanoon

Statistics and Informatics Techniques, Administrative Technical College, Northern Technical University, Iraq, Mosul

ORCID
Robiah Adnan Adnan

Department of Mathematical Sciences, Faculty of science, University Technology Malaysia, Johor, Malaysia

Zarina Mohd Khalid

3Department of Mathematical Sciences, Faculty of science, University Technology Malaysia, Johor, Malaysia.

ORCID

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How to Cite

Youns Thanoon, T., ذنون, Adnan Adnan, R., روبيا, Mohd Khalid, Z., & زارينا. (2025). Analysis of Two Populations Dichotomous Data in Latent Variable Models Using Bayesian Approach. IRAQI JOURNAL OF STATISTICAL SCIENCES, 20(2), 57–81. Retrieved from https://rjps.uomosul.edu.iq/index.php/stats/article/view/20645