APPLICATION OF GEE IN THE FIT OF ORDINAL MARGINAL REGRESSION MODEL FOR TREATMENT RESPONSE OF HYPERTENSION

Chijioke  Nweke; George  Mbaeyi; Kelechi  Ojide; Chijioke  Ogeh; Aghor  Udochukwu

Chijioke Nweke Department of Mathematics and Statistics, Alex Ekwueme Federal University Ndufu-Alike, Abakaliki, EbonyiState, Nigeria.
George Mbaeyi Department of Mathematics and Statistics, Alex Ekwueme Federal University Ndufu-Alike, Abakaliki, EbonyiState, Nigeria.
Kelechi Ojide Department of Mathematics and Statistics, Alex Ekwueme Federal University Ndufu-Alike, Abakaliki, EbonyiState, Nigeria.
Chijioke Ogeh Department of Paediatrics, Alex Ekwueme Federal University Teaching Hospi- tal, Abakaliki, EbonyiState, Nigeria.
Aghor Udochukwu Department of Family Medicine, Alex Ekwueme Federal University Teaching Hospital, Abakaliki, EbonyiState, Nigeria.

Keywords: Hypertension, Generalized Estimating Equation, Marginal Model, Working Correlation, Treatment Response, Quasi-likelihood Information Criterion

Abstract

This study adopts the ordinal logistic marginal model to fit the response to treatment of hypertensive patients with a view to ascertain any importance in incorporating panels when studying such clinical data. The Generalized Estimating Equation (GEE) provides an appropriate approach for estimating the model parameters. Two versions of ordinal regression models in conjunction with two forms of covariance estimators under three working correlation structures are considered. Results obtained revealed the importance of panels when studying the risk factors and response to treatment of hypertensive patients. With the Quasi-likelihood Information Criterion obtained for ordinal regression and other fitness criteria, the exchangeable working correlation is recommended as most adequate for the given data set.

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