Efficient interval estimation of a ratio of marginal probabilities in matched-pair data: non-iterative method.

Abstract:

:Matched-pair designs have been commonly employed in diagnostic, epidemiologic and laboratory studies. For estimation of a ratio of two marginal probabilities in matched-pair data, a Wald-type logarithmic method is computationally simple, but an actual coverage rate is known to be smaller than a nominal one and a length of the confidence interval is shorter than it should be. The Fieller-type method based on constrained maximum likelihood (CML) estimators possesses asymptotically optimum statistical properties and a coverage rate is close to a nominal one. However, hitherto the limits have been obtained by numerical iterations. In this paper, we derive the efficient confidence limits based on CML as analytical solutions of a quartic equation and present the confidence limits in a closed form.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Nam JM

doi

10.1002/sim.3685

subject

Has Abstract

pub_date

2009-10-15 00:00:00

pages

2929-35

issue

23

eissn

0277-6715

issn

1097-0258

journal_volume

28

pub_type

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