Comparison of confidence intervals for fraction in finite populations

• Authors: Wojciech Zieliński
• Languages of publication: EN

Abstracts

EN

Consider a finite population. Let qÎ(0,1) denotes the fraction of units with a given property. The problem is in interval estimation of q on the basis of a sample drawn due to the simple random sampling without replacement. In the paper three confidence intervals are compared: exact based on hypergeometric distribution and two other based on approximations to hypergeometric distribution: Binomial and Normal. It appeared that Binomial based confidence interval is too conservative while the Normal based one does not keep the prescribed confidence level.

Keywords

EN

confidence interval; approximate confidence; interval; fraction; finite population

• Publisher: Katedra Ekonometrii i Statystyki, Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
• Journal: Metody Ilościowe w Badaniach Ekonomicznych
• Year: 2011
• Volume: 12
• Issue: 1
• Pages: 177-182

Dates

published

2011

Contributors

author

Wojciech Zieliński

• Department of Econometrics and Statistics, Warsaw University of Life Sciences – SGGW

References

• Bracha Cz. (1996) Teoretyczne podstawy metody reprezentacyjnej, PWN , Warszawa.
• 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.
• Johnson N. L., Kotz S. (1969) Discrete distributions: distributions in statistics, Houghton Mifflin Company, Boston.
• Zieliński W. (2010) Estymacja wskaźnika struktury, Wydawnictwo SGGW, Warszawa.