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ConTdence intervals for a binomial proportion

ConTdence intervals for a binomial proportion,S. E. Vollset

ConTdence intervals for a binomial proportion   (Citations: 15)
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Published in 1993.
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    • ...It had been generally known that the popular two-sided Wald con&dence interval was de&cient in the coverage probability for p near 0 or 1. See, for example, Cressie (1980), Blyth and Still (1983), Vollset (1993), Santner (1998), Agresti and Coull (1998), and Newcombe (1998)...

    T. Tony Cai. One-sided con&dence intervals in discrete distributions

    • ...One way to alleviate this problem is to use approximate solutions based on the normal distribution; cf., e.g., Vollset (1993) or Agresti & Coull (1998) for the binomial case...
    • ...Many authors, e.g., Vollset (1993), Leemis & Trivedi (1996) and Agresti & Coull (1998), advocate using some approximate method such as (continuity corrected) score intervals or adjusted Wald intervals since these intervals have almost the right level and are shorter than the Clopper-Pearson intervals...

    Helge BLAKER. Condence curves and improved exact condence intervals for discrete dis...

    • ...Some papers addressing this problem have appeared recently (Vollset, 1993, Newcombe, 1998) but they have missed important aspects and apparently have had no impact on statistical software or on textbooks...
    • ...The explicit limits of the condence intervals for the twelve methods considered are given in Table 1 (X denotes the number of successes in a random sample of size n). Only v e of these methods were included in the comparative studies of Vollset (1993) or Newcombe (1998)...

    Ana M. Pires. Condence intervals for a binomial proportion: comparison of methods an...

    • ...ecause of the poor performance of the standard Wald method for constructing coverage (confi dence) intervals of a binomial proportion, the literature contains a series of modifi cations, alternative methods, and comparisons for a two-sided coverage interval under a simple random sample design (Brown et al., 2001; Agresti and Coull, 1998; Vollset, 1993; Clopper and Pearson, 1934)...
    • ...Some recent papers have addressed this problem under more complex sample designs (Feng, 2006; Sukasih and Jang, 2006, Kott et al., 2001; Korn and Graubard, 1998)...
    • ...Feng (2006) treated a few other intervals with this procedure...

    Yan K. Liuet al. Evaluating Alternative One Sided Coverage Intervals for an Extreme Bin...

    • ...2: (19) The twos-sided plugin confldence interval has the same simple form as the Wald in-...

    T. Tony Cai. Plugin Confldence Intervals in Discrete Distributions

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