ABSTRACT
The bivariate Bernoulli model was used to estimate covariate parameters for conditional as well
as marginal models for the NIDs datasets. This is a follow- up research on one conducted by Islam
et al. (2012) which introduced the use of the bivariate Bernoulli model to properly specify the
dependence among bivariate binary responses. 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 Newton Rahpson and the Nelder Mead
methods of iteration were 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 models-marginal
model. The result was same for both artificial and real-life data. It is worth mentioning that to aim
at more efficient covariate estimates, the bivariate Bernoulli model is highly recommended for
bivariate binary response data. However, further research is needed to choose an initial value when
using the Newton Rahpson and the Nelder Mead methods of iteration, because it posed a serious
challenge in this study. Again further research is recommended to probably use the multivariate
Bernoulli distribution to fit multivariate binary response data and estimate covariate coefficients.
CDR, C (2021). GENERALISED BERNOULLI MODEL FOR CORRELATED BINARY RESPONSES: APPLICATION TO THE NATIONAL INCOME DYNAMICS STUDY (NIDS) DATASETS. Afribary.com: Retrieved April 14, 2021, from https://afribary.com/works/generalised-bernoulli-model-for-correlated-binary-responses-application-to-the-national-income-dynamics-study-nids-datasets
Coalition, CDR. "GENERALISED BERNOULLI MODEL FOR CORRELATED BINARY RESPONSES: APPLICATION TO THE NATIONAL INCOME DYNAMICS STUDY (NIDS) DATASETS" Afribary.com. Afribary.com, 02 Apr. 2021, https://afribary.com/works/generalised-bernoulli-model-for-correlated-binary-responses-application-to-the-national-income-dynamics-study-nids-datasets . Accessed 14 Apr. 2021.
Coalition, CDR. "GENERALISED BERNOULLI MODEL FOR CORRELATED BINARY RESPONSES: APPLICATION TO THE NATIONAL INCOME DYNAMICS STUDY (NIDS) DATASETS". Afribary.com, Afribary.com, 02 Apr. 2021. Web. 14 Apr. 2021. < https://afribary.com/works/generalised-bernoulli-model-for-correlated-binary-responses-application-to-the-national-income-dynamics-study-nids-datasets >.
Coalition, CDR. "GENERALISED BERNOULLI MODEL FOR CORRELATED BINARY RESPONSES: APPLICATION TO THE NATIONAL INCOME DYNAMICS STUDY (NIDS) DATASETS" Afribary.com (2021). Accessed April 14, 2021. https://afribary.com/works/generalised-bernoulli-model-for-correlated-binary-responses-application-to-the-national-income-dynamics-study-nids-datasets