Test‐Based Exact Confidence Intervals for the Difference of Two Binomial Proportions
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Summary
Test-based methods of constructing exact confidence intervals for the difference in two binomial proportions are proposed and it is shown that a large improvement can be achieved by using the standardized Z test with a constrained maximum likelihood estimate of the variance.
- Type
- article
- Published
- 1999-12-01
- Cited by
- 281
- References
- 17
- OpenAlex
- https://openalex.org/W1979080264
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:13474231
Keywords
Confidence interval, Statistics, Mathematics, Binomial proportion confidence interval, Robust confidence intervals
References
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- Safety and immunogenicity of a recombinant protein influenza A vaccine in adult human volunteers and protective efficacy against wild-type H1N1 virus challenge.
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- Small-Sample Confidence Intervals for p1 p2 and p1/p2 in 2 2 Contingency Tables
- Test statistics and sample size formulae for comparative binomial trials with null hypothesis of non-zero risk difference or non-unity relative risk.
- Comparative analysis of two rates.
- THE USE OF CONFIDENCE OR FIDUCIAL LIMITS ILLUSTRATED IN THE CASE OF THE BINOMIAL
- Exact tests of equivalence and efficacy with a non-zero lower bound for comparative studies.
- Exact unconditional sample sizes for the 2×2 binomial trial
- Small-Sample Confidence Intervals for p 1 - p 2 and p 1 /p 2 in 2 × 2 Contingency Tables
- An exact unconditional test for the 2 × 2 comparative trial.
- P Values Maximized Over a Confidence Set for the Nuisance Parameter
- 2 × 2 Contingency tables
- Elimination of Nuisance Parameters
Cited by
- Safety and immunogenicity of a pentavalent meningococcal conjugate vaccine containing serogroups A, C, Y, W, and X in healthy adults: a phase 1, single-centre, double-blind, randomised, controlled study.
- Effectively Combining Independent 2 x 2 Tables for Valid Inferences in Meta Analysis with all Available Data but no Artificial Continuity Corrections for Studies with Zero Events and its Application to the Analysis of Rosiglitazone's Cardiovascular Disease Related Event Data
- The Analysis of the Number of Donations Based on a Mixture of Poisson Regression Model
- Computing the exact and the mid-P interval estimates for the difference of two independent binomial proportions
- Testing general hypotheses under binomial sampling: the two sample case - asymptotic theory and exact procedures
- Choosing between the Exact and the Approximate Confidence Intervals: For the Difference of Two Independent Binomial Proportions
- Exact Confidence Intervals for the Relative Risk and the Odds Ratio
- Statistical considerations of FDA and CPMP rules for the investigation of new anti‐bacterial products
- Immunogenicity and safety of the 13-valent pneumococcal conjugate vaccine compared to the 23-valent pneumococcal polysaccharide vaccine in elderly Japanese adults
- The Weighted Polya Posterior Confidence Interval For the Difference Between Two Independent Proportions
- Hypothesis Testing About Proportions in Two Finite Populations
- Estimating negative likelihood ratio confidence when test sensitivity is 100%: A bootstrapping approach
- Intervalos de confianza para la comparación dedos proporciones
- A pilot study of high‐dose short duration daptomycin for the treatment of patients with complicated skin and skin structure infections caused by gram‐positive bacteria
- Combining One-Sample Confidence Procedures for Inference in the Two-Sample Case
- An exact confidence set for two binomial proportions and exact unconditional confidence intervals for the difference and ratio of proportions
- A phase 3, randomized, double-blind trial comparing the safety and immunogenicity of the 7-valent and 13-valent pneumococcal conjugate vaccines, given with routine pediatric vaccinations, in healthy infants in Brazil.
- Genotyping and functional analysis of the D104N variant of human endostatin
- Exact one‐sided confidence limits for the difference between two correlated proportions
- Neuromedin U is regulated by the metastasis suppressor RhoGDI2 and is a novel promoter of tumor formation, lung metastasis and cancer cachexia
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