Efficient interval estimation of a ratio of marginal probabilities in matched-pair data: non-iterative method.
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.
Nam
Jun-Mo
JM
Biostatistics Branch, DCEG, National Cancer Institute, EPS/Room 8028, 6120 Executive Blvd, Rockville, MD 20852-7244, USA. namj@mail.nih.gov
D056808:Biostatistics / Q000379:methods*; D016001:Confidence Intervals; D003627:Data Interpretation, Statistical; D005260:Female; D006801:Humans; D016013:Likelihood Functions; D015233:Models, Statistical; D021141:Nucleic Acid Amplification Techniques; D011336:Probability; D014247:Trichomonas Vaginitis / Q000175:diagnosis / Q000652:urine
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