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http://dx.doi.org/10.5351/KJAS.2009.22.6.1289

Interval Estimation of Population Proportion in a Double Sampling Scheme  

Lee, Seung-Chun (Department of Statistics, Hashin University)
Choi, Byong-Su (Department of Multimedia Engineering, Hansung University)
Publication Information
The Korean Journal of Applied Statistics / v.22, no.6, 2009 , pp. 1289-1300 More about this Journal
Abstract
The double sampling scheme is effective in reducing the sampling cost. However, the doubly sampled data is contaminated by two types of error, namely false-positive and false-negative errors. These would make the statistical analysis more difficult, and it would require more sophisticate analysis tools. For instance, the Wald method for the interval estimation of a proportion would not work well. In fact, it is well known that the Wald confidence interval behaves very poorly in many sampling schemes. In this note, the property of the Wald interval is investigated in terms of the coverage probability and the expected width. An alternative confidence interval based on the Agresti-Coull's approach is recommended.
Keywords
False-positive error; false-negative error; Wald confidence interval; Agresti-Coull confidence interval; coverage probability;
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Times Cited By KSCI : 2  (Citation Analysis)
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