Abstract
In this chapter, the concepts and applications of estimation are discussed. The methods of point estimation namely the method of maximum likelihood and the method of moments are introduced in this chapter. The interval estimation is also highlighted in this chapter and the construction of confidence intervals is discussed at length. The construction of confidence interval for single population mean, difference between two population means , single population proportion, and difference between two population proportions is shown with examples under different underlying assumptions about population as well as about small or large sample sizes. The pivotal quantities under the assumption of known or unknown variances are also highlighted. In addition to the traditional Wald method, alternative methods of interval estimation of the population proportion namely the exact method, the Wilson method, and the Agresti–Coull method are also illustrated with examples.
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References
Agresti, A., & Coull, B. A. (1998). Approximate is better than “exact” for interval estimation of binomial proportions. The American Statistician, 52(2), 119–226.
Brown, L. D., Cai, T. T., & DasGupta, A. (2001). Interval estimation for a binomial proportion. Statistical Science, 16(2), 101–133.
Clopper, C. J., & Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika, 26, 404–413.
Czerniak, J., & Zarzycki, H. (2003). Application of rough sets in the presumptive diagnosis of urinary system diseases, Artificial Intelligence and Security in Computing Systems. ACCS 2002 9th International Conference Proceedings (pp. 41–51). Kluwer Academic Publishers.
Laplace, P. S. (1812). The’orie analytique des probabilities. Paris: Courcier.
Wilson, E. B. (1927). Probable inference, the law of succession, and statistical inference. Journal of the American Statistical Association, 22, 209–212.
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Islam, M.A., Al-Shiha, A. (2018). Estimation. In: Foundations of Biostatistics. Springer, Singapore. https://doi.org/10.1007/978-981-10-8627-4_7
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DOI: https://doi.org/10.1007/978-981-10-8627-4_7
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