Modified Clopper-Pearson Confidence Interval for Binomial Proportion
نویسندگان
چکیده
منابع مشابه
The Shortest Clopper-Pearson Confidence Interval for Binomial Probability
In the paper there is shown the existence of the shortest confidence interval for binomial probability. The method of obtaining such interval is presented as well. Note: The following files were submitted by the author for peer review, but cannot be converted to PDF. You must view these files (e.g. movies) online.
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Zieliński (2010) showed the existence of the shortest Clopper–Pearson confidence interval for binomial probability. The method of obtaining such an interval is presented as well. Unfortunately, the obtained confidence interval has one disadvantage: it does not keep the prescribed confidence level. In what follows, a small modification is introduced, after which obtained the shortest confidence ...
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So far many confidence intervals were introduced for the binomial proportion. In this paper, our purpose is comparing five well known based on their exact confidence coefficient and average coverage probability.
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This paper adds one more contribution to the large literature on binomial confidence intervals for small samples (e.g., Clopper and Pearson 1934; Pearson and Hartley 1954; Sterne 1954; Crow 1956; Blyth and Still 1983; Blyth 1986; Santner and Duffy 1989; Agresti and Coull 1998; Henderson and Meyer 2001). Clopper and Peason (1934) gave the first two-sided binomial confidence intervals, in graphic...
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Thirteen methods for computing binomial confidence intervals are compared based on their coverage properties, widths and errors relative to exact limits. The use of the standard textbook method, x/n +/- 1.96 square root of [(x/n)(1-x/n)/n], or its continuity corrected version, is strongly discouraged. A commonly cited rule of thumb stating that alternatives to exact methods may be used when the...
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ژورنال
عنوان ژورنال: Journal of Statistical Theory and Applications
سال: 2014
ISSN: 1538-7887
DOI: 10.2991/jsta.2014.13.4.3