Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Interval Estimation of the Difference of two Population Proportions using Pooled Estimator

  • Hong, Chong-Sun (Department of Statistics, Economics School, Sungkyunkwan University)
  • Published : 2002.08.01
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Abstract

In order to examine whether the difference between two point estimates of population proportions is statistically significant, data analysts use two techniques. The first is to explore the overlap between two associated confidence intervals. Second method is to test the significance which is introduced at most statistical textbooks under the common assumptions of consistency, asymptotic normality, and asymptotic independence of the estimates. Under the null hypothesis which is two population proportions are equal, the pooled estimator of population proportion is preferred as a point estimator since two independent random samples are considered to be collected from one population. Hence as an alternative method, we could obtain another confidence interval of the difference of the population proportions with using the pooled estimate. We conclude that, among three methods, the overlapped method is under-estimated, and the difference of the population proportions method is over-estimated on the basis of the proposed method.

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References

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