Marginal Regression Models for Mixed Bivariate Responses

Authors

  • Chijioke Joel Nweke Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike 48213, Nigeria
  • Kelechi Charity Ojide Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike 48213, Nigeria
  • George Chinanu Mbaeyi Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike 48213, Nigeria
  • Fidelis Ifeanyi Ugwuowo Department of Statistics, University of Nigeria, Nsukka 410001, Nigeria

Keywords:

Marginal Model, Generalized Estimating Equation, Mixed responses, Poisson, Bernoulli, Normal

Abstract

A new framework for marginal regression model with bivariate responses from different distributions was proposed in this study. It adopts a Generalized Estimating Equation (GEE) approach of model estimation. A framework for mixture of response variables from different distributions was proposed for “Normal and Poisson”, “Normal and Bernoulli”, and “Poisson and Bernoulli”. Application on the proposal framework was examined in measuring the effect of certain hospital inputs on hospital performance in three selected tertiary health institutions.

References

Inouye G, Yang E, Allen G, Revikumar P. A Review of Multivariate Distributions for Count Data Derived from the Poisson Distribution. Wiley Interdisciplinary Rev Computational Statistics, 2017;9(3):1398.

McCullagh P, Nelder JA. Generalized Linear Models, 2nd eds. Chapman & Hall/CRC, UK 1989.

Rancher AC, Christensen WF. Methods of Multivariate Analysis. 3th eds. John Wiley and sons, USA 2012.

Todorov H, White ES, Gerber S. Applying univariate vs. multivariate statistics to investigate therapeutic efficacy in (pre)clinical trials: A Monte Carlo simulation study on the example of a controlled preclinical neurotrauma trial. PLOS ONE, 2020; 15(3): e0230798.

Yoo K, Rosenberg MD, Noble S, Scheinost D, Constable RT, Chun MM. Multivariate approaches improve the reliability and validity of functional connectivity and prediction of individual behaviors. Neuroimage, 2017;197:212-23.

Fitzmaurice GM, Laird NM. Regression Models for a Bivariate Discrete and Continuous Outcome with Clustering. Journal of the American Statistical Association 90, 1995:845-52.

Ying Y, Kang J, Mao K, Zhang J. Regression models for mixed Poisson and continuous longitudinal data. Stat Med. 2007;26(20):3782-800.

Wang M. Generalized Estimating Equations in Longitudinal Data Analysis: A Review and Recent Developments. Advances in Statistics, 2014;(1):1-11.

Fitzmaurice G, Davidian M, Verbeke G, Molenberghs G, editors. Longitudinal data analysis. CRC press; 2008 Aug 11.

Liu X. Methods and applications of Longitudinal Data Analysis. Higher Education Press., Elsevier, Oxford OX5 1GB, UK, 2016.

Hardin JW, Hilbe JM. Generalized Estimating Equations. 2nd eds. Chapman & Hall/CRC, UK 2013.

Liang K-Y, Zeger SL. Longitudinal Data Analysis Using Generalized Linear Models. Biometrika, 1986;73(1):13-22.

Zeger SL, Liang K-Y. Longitudinal data analysis for discrete and continuous outcomes. Biometrics, 1986;42:121-30.

Aloh HE, Onwujekwe OE, Aloh OG, Nweke CJ. Is bed turnover rate a good metric for hospital scale efficiency? A measure of resource utilization rate for hospitals in Southeast Nigeria. Cost Eff Resour Alloc. 2020 Jul 1;18:21.

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Published

2023-12-27

How to Cite

Nweke, C., Ojide, K. ., Mbaeyi, G., & Ugwuowo, F. (2023). Marginal Regression Models for Mixed Bivariate Responses . Science & Technology Asia, 28(4), 20–25. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/249413

Issue

Section

Physical sciences