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Title: Estimação de diferenças entre duas proporções binomiais via bootstrap
Other Titles: Estimate of differences among two binomial proportions through bootstrap
Keywords: Bootstrap
Intervalos de confiança
Simulação de Monte Carlo
Probabilidade de cobertura
Confidence intervals
Monte Carlo Simulation
Coverage probability
Issue Date: Jul-2010
Publisher: Universidade Estadual Paulista
Citation: CARARI, M. L. et al. Estimação de diferenças entre duas proporções binomiais via bootstrap. Revista Brasileira de Biometria, São Paulo, v. 28, n. 3, p. 112-134, jul./set. 2010.
Abstract: Constructing a confidence interval for the difference of two binomial proportions is frequently used in statistical inference. This work aimed to propose a method for constructing confidence intervals for the difference of two binomial proportions using parametric bootstrap. It was used Monte Carlo simulation to generate data from binomial distribution in different combinations of sample sizes, significance nominal levels and proportions. The results were compared with the results of other four existent confidence intervals methods for difference among two binomial proportions: Wald, add-4, T2 and Conlon and Thomas (1990) methods. It were used as comparison criterions the coverage probability and the average width of the confidence interval. The proposed method presents appropriate results, except for the situation of small samples that it has a superior average width than the other methods. The T2 method has coverage probability equal or superior to the nominal level and has average width smaller than the bootstrap-add-4 method. The add-4 method is preferable for presenting appropriate results for the coverage probabilities and smaller intervals average width. The Wald method has smaller coverage probabilities than the nominal confidence coefficient compromising its practical recommendation
Appears in Collections:DEX - Artigos publicados em periódicos

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