Interval estimation for the difference between independent proportions: comparison of eleven methods

RG Newcombe - Statistics in medicine, 1998 - Wiley Online Library
Statistics in medicine, 1998Wiley Online Library
Several existing unconditional methods for setting confidence intervals for the difference
between binomial proportions are evaluated. Computationally simpler methods are prone to
a variety of aberrations and poor coverage properties. The closely interrelated methods of
Mee and Miettinen and Nurminen perform well but require a computer program. Two new
approaches which also avoid aberrations are developed and evaluated. A tail area profile
likelihood based method produces the best coverage properties, but is difficult to calculate …
Abstract
Several existing unconditional methods for setting confidence intervals for the difference between binomial proportions are evaluated. Computationally simpler methods are prone to a variety of aberrations and poor coverage properties. The closely interrelated methods of Mee and Miettinen and Nurminen perform well but require a computer program. Two new approaches which also avoid aberrations are developed and evaluated. A tail area profile likelihood based method produces the best coverage properties, but is difficult to calculate for large denominators. A method combining Wilson score intervals for the two proportions to be compared also performs well, and is readily implemented irrespective of sample size. © 1998 John Wiley & Sons, Ltd.
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