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Volume 2, Issue 1, January 2013, Page: 7-11
Comparative Analysis of Bayesian Control Chart Estimation and Conventional Multivariate Control Chart
J. Ademola, Distance Learning Institute, University of Lagos, Lagos, Nigeria
Ogundeji K. Rotimi, Department of Mathematics, Faculty of Science, University of Lagos, Lagos, Nigeria
Received: Jan. 15, 2013;       Published: Jan. 10, 2013
Abstract
Bayesian model or Beta-binomial conjugate using Bayesian sequential estimation method to estimate the proportion of different age groups is compared with the conventional multivariate control chart method. The parameters for the techniques were derived and applied. The result shows that the patients between the ages of 15-44 in 2009 and 44-64 and 64 and above in 2011 are out of control. This implies the Bayesian sequential estimation method is very efficient to notice any small shift that occurs among patients that make use of the hospital. Also the bracket mentioned above was very high among the people that used the hospital compared to others. The result of 2011shows that there was a high shift in the ages of the patients that attended the hospital for the ages between 44-64 and 64 and above respectively.
Keywords
Beta-Binomial, Sequential Estimation, Hyperparameters, Conjugates Beta-Binomial, Shrinkage Factor And Multivariate Random Variables
Johnson Ademola Adewara1, J. Ademola, Ogundeji K. Rotimi, Comparative Analysis of Bayesian Control Chart Estimation and Conventional Multivariate Control Chart, American Journal of Theoretical and Applied Statistics. Vol. 2, No. 1, 2013, pp. 7-11. doi: 10.11648/j.ajtas.20130201.12
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