Odds Ratio Estimation for Small Proportion in Binomial Distribution

Authors

  • Kobkun Raweesawat
  • Yupaporn Areepong
  • Saowanit Sukparungsee
  • Katecchan Jampachaisri

Keywords:

Odds Ratio, Empirical Bayes, Modified Maximum Likelihood Estimator

Abstract

In this study, we introduce the new estimator of odds ratio using Empirical Bayes (EB) for small proportions of success in a 2x2 table. The proposed estimate of odds ratio based on EB is then compared to conventional method, modified maximum likelihood estimator (MMLE), using the Estimated Relative Error (ERE) as a criterion of comparison. The result indicated that the EB estimator is more efficient than MMLE.

References

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Minka, T.P, Estimating a Dirichlet Distribution. Technical report. MIT, 2000.

Parzen, M., Lipsitz, S., Ibrahim, J., and Klar, N., An estimation of the odds ratio that always exists. Journal of Computation and Graphical Statistics, 2002; 11: 420-436.

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How to Cite

Raweesawat, K., Areepong, Y., Sukparungsee, S., & Jampachaisri, K. (2016). Odds Ratio Estimation for Small Proportion in Binomial Distribution. Asian Journal of Applied Sciences, 4(1). Retrieved from https://ajouronline.com/index.php/AJAS/article/view/3672

Issue

Vol. 4 No. 1 (2016): February 2016

Section

Articles

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