Journal
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
Volume 138, Issue 6, Pages 1884-1893Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jspi.2007.07.008
Keywords
Bayesian estimation; gram-Schimdt othogonalization; multicenter clinical trial; nuisance parameters; reparameterization
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In this paper, we consider the problem wherein one desires to estimate a linear combination of binomial probabilities from k > 2 independent populations. In particular, we create a new family of asymptotic confidence intervals, extending the approach taken by Beal [1987. Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples. Biometrics 73, 941-950] in the two-sample case. One of our new intervals is shown to perform very well when compared to the best available intervals documented in Price and Bonett [2004. An improved confidence interval for a linear function of binomial proportions. Comput. Statist. Data Anal. 45, 449-456]. Furthermore, our interval estimation approach is quite general and could be extended to handle more complicated parametric functions and even to other discrete probability models in stratified settings. We illustrate our new intervals using two real data examples, one from an ecology study and one from a multicenter clinical trial. (C) 2007 Elsevier B.V. All rights reserved.
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