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Estimation of Bayesian Sample Size for Binomial Proportions Using Areas P-tolerance with Lowest Posterior Loss

Authors: H. Bevrani, N. Najafi

Abstract:

This paper uses p-tolerance with the lowest posterior loss, quadratic loss function, average length criteria, average coverage criteria, and worst outcome criterion for computing of sample size to estimate proportion in Binomial probability function with Beta prior distribution. The proposed methodology is examined, and its effectiveness is shown.

Keywords: Bayesian inference, Beta-binomial Distribution, LPLcriteria, quadratic loss function.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070269

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References:


[1] C. J. Adcock, "A Bayesian Approach to Calculating Sample Sizes", The Statistician: Journal of the Institute of Statisticians, vol. 37, pp. 433- 439,1988.
[2] C. J. Adcock, "Sample Size Determination: A Review", The Statistician: Journal of the Institute of Statisticians, vol. 46, pp. 261-283, 1997.
[3] J. M. Bernardo, "Intrinsic credible regions: an objective Bayesian approach to interval estimation", Test, vol. 14, pp. 317- 384, 2005.
[4] M. M. Desu, And D. Raghavarao, "Sample Size Methodology", Boston: Academic Press, 1990.
[5] P. M. Grundy, M. J. R. Healy and D. H Rees, "Economic choice of the amount of experimentation", J. R. Statist. Soc. A, vol. 18, pp.32-48, 1956.
[6] L. Joseph, D. B. Wolfson, and R. D. Berger, "Sample Size Calculations for Binomial Proportions Via Highest Posterior Density Intervals", The Statistician: Journal of the Institute of Statisticians, vol. 44, pp. 143-154, 1995.
[7] L. Joseph, P. Belisle and P. BĂ©lisle, "Bayesian Sample Size Determination for Normal Means and Differences between Normal Means", The Statistician: Journal of the Institute of Statisticians, vol. 46, pp. 209-226, 1997a.
[8] D. V. Lindley, "The choice of Sample size", Statistician, vol. 46, pp. 129-138.
[9] C. E. M lan, L. Joseph and D. B. Wolfson, "Bayesian Sample Size Determination for Binomial Proportions", Journal of the Bayesian Analysis, vol. 2, pp.269-296, 2008.
[10] T. Pham-Gia and N. Turkkan, "Sample Size Determination in Bayesian Analysis" (Disc: P399-404), The Statistician: Journal of the Institute of Statisticians, vol. 41, pp.389-397, 1992.
[11] D. J. Spiegelhalter and L. S Freedman, "A predictive approach to selecting the size of a clinical trial, based on subjective clinical opinion", Statist. Med., vol. 5, pp.1-13, 1986.
[12] D. J. Spiegelhalter, L. S. Freedman and M. K. B. Parmar, "Bayesian approaches to randomized trials (with discussion)", J. R. Statist. Soc. A, vol. 157, pp. 357-416, 1994.