Confidence Intervals for a binomial proportion and asymptotic expansions

2002

324 citations recorded by the source corpus.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/317f8d90f94986927bced40f0231081c6021fdcc

Citations in the corpus

• Confidence intervals for two sample binomial distribution (2005, unknown): “In the one sample situation, oscillation of the coverage probability is a serious problem for Wald CI for the proportion, see Brown et al. (2002).”
• Uncertainty and Inference for Verification Measures (2007, unknown): “Further approaches to finding confidence intervals for a binomial parameter are described by Agresti (2002, section 1.4), with some theory in Brown et al. (2002).”
• On the Estimation of Confidence Intervals for Binomial Population Proportions in Astronomy: The Simplicity and Superiority of the Bayesian Approach (2010, unknown): “…nominal level for nt 20, and should thus be strictly avoided in this small 6 It is important also to note that this ‘oscillation signature’ is evident even in binomial CIs generated via the ‘normal approximation’ at very large sample sizes, as thoroughly demonstrated by Brown et al. (2001, 2002).”
• One-sided confidence intervals in discrete distributions (2005, unknown): “See for example Brown et al. (2002).”
• Intrinsic credible regions: An objective Bayesian approach to interval estimation (2005, unknown): “Whether reference posterior q-credible regions provide the best available solution for this particular problem is somehow doubtful as there are many criteria which could reasonably be considered for comparing credible regions or their approximations in the discrete case, see Brown et al. (2002).”
• Managed honey bee colony losses in Canada, China, Europe, Israel and Turkey, for the winters of 2008–9 and 2009–10 (2012, unknown): “This model structure was chosen to limit the effect of overdispersion on standard errors and 95% confidence intervals (White and Bennetts, 1996; Brown et al., 2002; Affleck, 2006).”
• Patency rates of the arteriovenous fistula for hemodialysis: a systematic review and meta-analysis. (2014, unknown): “to provide excellent coverage and has better performance than the standard Wald interval.(19,20) We pooled rates of primary failure, as well as rates of primary and secondary patency, using a random-effects meta-analysis using a linear mixed model.”
• The cost of using exact confidence intervals for a binomial proportion (2013, unknown): “[6], we get the following expressions for how much the expected length of the confidence interval increases when the Clopper–Pearson interval is used instead of an approximate interval.”
• Estimation of aquifer scale proportion using equal area grids: Assessment of regional scale groundwater quality (2010, unknown): “Several researchers [Vollset, 1993; Agresti and Coull, 1998; Brown et al., 2001; Brown et al., 2002] have shown that the Clopper‐Pearson interval is inherently conservative.”