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Estimation

In: Foundations of Biostatistics

Author

Listed:
  • M. Ataharul Islam

    (University of Dhaka, ISRT)

  • Abdullah Al-Shiha

    (College of Science, King Saud University, Department of Statistics and Operations Research)

Abstract

In this chapter, the concepts and applications of estimation are discussed. The methods of point estimation Estimation point namely the method of maximum likelihood and the method of moments are introduced in this chapter. The interval estimationEstimation interval is also highlighted in this chapter and the construction of confidence intervals is discussed at length. The construction of confidence interval for single Population population mean, difference between two population meansConfidence interval for difference between two population means , single population proportion, and difference between Hypothesis tests two population proportions two population proportionsConfidence interval for 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 variancesVariance are also highlighted. In addition to the traditional Wald method, alternative methods of interval estimation of the populationPopulation proportion namely the exact method, the Wilson method, and the Agresti–Coull method are also illustrated with examples.

Suggested Citation

  • M. Ataharul Islam & Abdullah Al-Shiha, 2018. "Estimation," Springer Books, in: Foundations of Biostatistics, chapter 0, pages 189-231, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-8627-4_7
    DOI: 10.1007/978-981-10-8627-4_7
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