Approximate confidence intervals for a linear combination of binomial proportions: A new variant. Issue 9 (21st October 2017)

• Record Type: Journal Article
• Authors: Escudeiro, Sara; Freitas, Adelaide; Afreixo, Vera
• Is Part Of: Communications in statistics. Volume 46:Issue 9(2017)
• Page Start: 7501
• Page End: 7524
• Publication Date: 2017-10-21
• Subjects: Approximate confidence intervals -- Interval location -- Linear combination of binomial proportions -- Restricted models (Newcombe–Zou, Peskun, and score methods) -- Unrestricted model (Wald method); 62 - Statistics -- F30 - Inference under constraints -- P10 - Applications to biology and medical sciences; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1241408
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: We propose a new adjustment for constructing an improved version of the Wald interval for linear combinations of binomial proportions, which addresses the presence of extremal samples. A comparative simulation study was carried out to investigate the performance of this new variant with respect to the exact coverage probability, expected interval length, and mesial and distal noncoverage probabilities. Additionally, we discuss the application of a criterion for interpreting interval location in the case of small samples and/or in situations in which extremal observations exist. The confidence intervals obtained from the new variant performed better for some evaluation measures.