Improving interval estimation of binomial proportions.
In this paper, we propose one new confidence interval for the binomial proportion; our interval is based on the Edgeworth expansion of a logit transformation of the sample proportion. We provide theoretical justification for the proposed interval and also compare the finite-sample performance of the proposed interval with the three best existing intervals-the Wilson interval, the Agresti-Coull interval and the Jeffreys interval-in terms of their coverage probabilities and expected lengths. We illustrate the proposed method in two real clinical studies.
Zhou
X H
XH
VA Puget Sound Health Care System, Seattle, WA 98108, USA. azhou@u.washington.edu
Li
C M
CM
Yang
Z
Z
D001699:Biometry / Q000379:methods*; D016001:Confidence Intervals; D005440:Fluid Therapy; D006801:Humans; D015233:Models, Statistical; D019964:Mood Disorders / Q000188:drug therapy; D020301:Vasospasm, Intracranial / Q000628:therapy