{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T17:44:57Z","timestamp":1744134297116},"reference-count":18,"publisher":"Wiley","issue":"23","license":[{"start":{"date-parts":[[2009,8,18]],"date-time":"2009-08-18T00:00:00Z","timestamp":1250553600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2009,10,15]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Matched\u2010pair designs have been commonly employed in diagnostic, epidemiologic and laboratory studies. For estimation of a ratio of two marginal probabilities in matched\u2010pair data, a Wald\u2010type 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\u2010type 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. Published in 2009 by John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.3685","type":"journal-article","created":{"date-parts":[[2009,8,18]],"date-time":"2009-08-18T12:16:50Z","timestamp":1250597810000},"page":"2929-2935","source":"Crossref","is-referenced-by-count":11,"title":["Efficient interval estimation of a ratio of marginal probabilities in matched\u2010pair data: Non\u2010iterative method"],"prefix":"10.1002","volume":"28","author":[{"given":"Jun\u2010Mo","family":"Nam","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2009,8,18]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19981015)17:19<2207::AID-SIM920>3.0.CO;2-Y"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1542\/peds.102.4.939"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/0471249688"},{"key":"e_1_2_1_5_2","first-page":"185","volume-title":"Nonparametric Statistical Methods for Complete and Censored Data","author":"Desu MM","year":"2004"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0197-2456(01)00134-9"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1002\/sim.1017"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19980430)17:8<857::AID-SIM777>3.0.CO;2-E"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0258(19980430)17:8<873::AID-SIM779>3.0.CO;2-I"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1927.10502953"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1002\/sim.2440"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.2307\/2531848"},{"key":"e_1_2_1_13_2","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1080\/01621459.1957.10501366","article-title":"Two confidence intervals for the ratio of two probabilities and some measures of effectiveness","volume":"52","author":"Noether GE","year":"1957","journal-title":"Journal of American Statistical Association"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.2307\/2530610"},{"key":"e_1_2_1_15_2","doi-asserted-by":"publisher","DOI":"10.2307\/2531960"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.4710370311"},{"key":"e_1_2_1_17_2","doi-asserted-by":"publisher","DOI":"10.1002\/sim.3042"},{"key":"e_1_2_1_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/sim.3323"},{"key":"e_1_2_1_19_2","volume-title":"Theory of Equations","author":"Upsensky JV","year":"1948"}],"container-title":["Statistics in Medicine"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fsim.3685","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/sim.3685","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T23:35:59Z","timestamp":1699918559000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/sim.3685"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,8,18]]},"references-count":18,"journal-issue":{"issue":"23","published-print":{"date-parts":[[2009,10,15]]}},"alternative-id":["10.1002\/sim.3685"],"URL":"https:\/\/doi.org\/10.1002\/sim.3685","archive":["Portico"],"relation":{},"ISSN":["0277-6715","1097-0258"],"issn-type":[{"value":"0277-6715","type":"print"},{"value":"1097-0258","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,8,18]]}}}