Interval Estimation of Population Proportion in a Double Sampling Scheme

- Journal title : Korean Journal of Applied Statistics
- Volume 22, Issue 6, 2009, pp.1289-1300
- Publisher : The Korean Statistical Society
- DOI : 10.5351/KJAS.2009.22.6.1289

Title & Authors

Interval Estimation of Population Proportion in a Double Sampling Scheme

Lee, Seung-Chun; Choi, Byong-Su;

Lee, Seung-Chun; Choi, Byong-Su;

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;

Language

Korean

Cited by

1.

오분류된 이진자료에서 Agresti-Coull유형의 신뢰구간에 대한 이론적 고찰,이승천;

1.

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