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Interval Estimation of Population Proportion in a Double Sampling Scheme
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 Title & Authors
Interval Estimation of Population Proportion in a Double Sampling Scheme
Lee, Seung-Chun; Choi, Byong-Su;
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 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;

Communications for Statistical Applications and Methods, 2011. vol.18. 4, pp.445-455 crossref(new window)
2.
Bayesian confidence intervals of proportion with misclassified binary data,;

Journal of the Korean Statistical Society, 2013. vol.42. 3, pp.291-299 crossref(new window)
1.
Bayesian confidence intervals of proportion with misclassified binary data, Journal of the Korean Statistical Society, 2013, 42, 3, 291  crossref(new windwow)
2.
Theoretical Considerations for the Agresti-Coull Type Confidence Interval in Misclassified Binary Data, Communications for Statistical Applications and Methods, 2011, 18, 4, 445  crossref(new windwow)
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