Mathematics - Scholarly Publications

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Browsing Mathematics - Scholarly Publications by Subject "Beta-Binomial Model"

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    Open Access
    Bayesian Estimation of Above-Average Performance in Tertiary Institutions: A Case Study of University of Lagos, Akoka, Nigeria.
    (International Organization of Scientific Research, IOSR Journals., 2013) Ogundeji, Rotimi; Lawal, Ganiyu; Arowolo, Olatunji
    Bayesian approach for parameter estimation has the capacity to yield more precise estimates than methods based on sampling theory. There are several common Bayesian models; in this study we applied Empirical Bayes (EB) model called Beta-binomial model. The study is motivated by the need to beam searchlight on universities, faculties or fields of study with graduates who may not be eligible for further educational pursuits. This study provides means of assessment or a basis of evaluation of students’ performances among faculties or fields of study and overall performance of a university. This study uses Bayesian methods of inference to estimate the proportion of above-average performance of graduates from the various faculties in University of Lagos. The model adopted generated results which are of smaller variances compared with variances of sample Proportions, showing that the posterior proportions generated are more efficient estimators. This is further evidenced in narrow widths of the computed confidence intervals. The overall result shows that the proportion of above-average performance of graduates of University of Lagos, who are eligible for further educational pursuits (i.e. higher degrees), is approximately 72% of the university graduates.
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    Open Access
    PROPORTIONAL ESTIMATION OF SEQUENTIAL BAYESIAN USING ORTHOPEDIC SURGERY DATA IN NIGERIA
    (Ahmadu Bello University, 2017) ADEWARA, J.A.; OGUNDEJI, R.K.
    The key difference between frequentist statisticians and Bayesian statisticians is estimation a population parameter θ. These has to do with whether a statistician thinks of a parameter as some unknown constant or as a random variable Bayesian methods provide more intuitive and meaningful inferences than likelihood-only based on inferences. In this paper, a Bayesian model called Betabinomial conjugate model is employed using Bayesian sequential estimation method to estimate the proportion of different age groups attended to at the National Orthopaedic hospital, Igbobi, Nigeria. Over the years results show that the highest number of patients at the hospital is within the age group 15 to 44 years but with the smallest proportion of orthopaedic surgeries. Similarly, smallest the number of patients is among the age group less than one year and greater than 64 years but with highest proportion of orthopaedic surgeries. Finally, the results of the comparative analysis of the sample and Empirical Bayes (EB) proportions show that the Empirical Bayes (EB) estimators are better estimators on the basis of efficiency and consistency.