TY - JOUR
T1 - GENERALISED BERNOULLI MODEL FOR CORRELATED BINARY RESPONSES
T2 - APPLICATION TO THE NATIONAL INCOME DYNAMICS STUDY (NIDS) DATASETS
AU - Fleku, Mawutor
AU - Nortey, Ezekiel N.N.
AU - Lotsi, Anani
AU - Doku-Amponsah, Kwabena
N1 - Publisher Copyright:
© 2019, RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES. All rights reserved.
PY - 2019/4
Y1 - 2019/4
N2 - The bivariate Bernoulli model was used to estimate covariate parameters for conditional as well as marginal models for the NIDs datasets.The covariate parameters were estimated by first expressing the proposed model in the exponential family form, finding the log-likelihood function and then the corresponding estimating equations. The Nelder Mead method of iteration was used to estimate the covariate parameters. The research revealed that the bivariate Bernoulli model fitted bivariate binary response data significantly better than the conditional logistic and the Generalized Estimating Equation (GEE) logistic marginal model. The result was same for both artificial and real-life data.
AB - The bivariate Bernoulli model was used to estimate covariate parameters for conditional as well as marginal models for the NIDs datasets.The covariate parameters were estimated by first expressing the proposed model in the exponential family form, finding the log-likelihood function and then the corresponding estimating equations. The Nelder Mead method of iteration was used to estimate the covariate parameters. The research revealed that the bivariate Bernoulli model fitted bivariate binary response data significantly better than the conditional logistic and the Generalized Estimating Equation (GEE) logistic marginal model. The result was same for both artificial and real-life data.
KW - Correlated binary responses
KW - joint modeling
KW - likelihood ratio test
KW - longitudinal study
KW - pre and post testing
UR - http://www.scopus.com/inward/record.url?scp=85153745214&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85153745214
SN - 0972-7752
VL - 15
SP - 71
EP - 88
JO - South East Asian Journal of Mathematics and Mathematical Sciences
JF - South East Asian Journal of Mathematics and Mathematical Sciences
IS - 1
ER -