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Likelihood Analysis for the Ratio of Means of Two Independent Log-Normal Distributions
dc.contributor.authorWu, Jianrongen_US
dc.contributor.authorJiang, Guoyongen_US
dc.contributor.authorWong, A. C. M.en_US
dc.contributor.authorSun, Xiangen_US
dc.date.accessioned2010-04-01T14:46:14Z
dc.date.available2010-04-01T14:46:14Z
dc.date.issued2002-06en_US
dc.identifier.citationWu, Jianrong; Jiang, Guoyong; Wong, A. C. M.; Sun, Xiang (2002). "Likelihood Analysis for the Ratio of Means of Two Independent Log-Normal Distributions." Biometrics 58(2): 463-469. <http://hdl.handle.net/2027.42/65218>en_US
dc.identifier.issn0006-341Xen_US
dc.identifier.issn1541-0420en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/65218
dc.identifier.urihttp://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=12071423&dopt=citationen_US
dc.description.abstractExisting methods for comparing the means of two independent skewed log-normal distributions do not perform well in a range of small-sample settings such as a small-sample bioavailability study. In this article, we propose two likelihood-based approaches—the signed log-likelihood ratio statistic and modified signed log-likelihood ratio statistic—for inference about the ratio of means of two independent log-normal distributions. More specifically, we focus on obtaining p -values for testing the equality of means and also constructing confidence intervals for the ratio of means. The performance of the proposed methods is assessed through simulation studies that show that the modified signed log-likelihood ratio statistic is nearly an exact approach even for very small samples. The methods are also applied to two real-life examples.en_US
dc.format.extent615597 bytes
dc.format.extent3110 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherBlackwell Publishing Ltden_US
dc.rightsThe International Biometric Society, 2002en_US
dc.subject.otherLognormalen_US
dc.subject.otherRatio of Meansen_US
dc.subject.otherR*-Formulaen_US
dc.subject.otherSigned Log-likelihood Ratio Statisticen_US
dc.subject.otherZ-score Testen_US
dc.titleLikelihood Analysis for the Ratio of Means of Two Independent Log-Normal Distributionsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.en_US
dc.contributor.affiliationotherDivision of Public Health Science, Fred Hutchinson Cancer Research Center, Seattle, Washington 98109, U.S.A.en_US
dc.contributor.affiliationotherCephalon, Inc., West Chester, Pennsylvania 19380, U.S.A.en_US
dc.contributor.affiliationotherSASIT, Atkinson Faculty of Professional and Liberal Studies, North York, Ontario M3J 1P3, Canadaen_US
dc.identifier.pmid12071423en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/65218/1/j.0006-341X.2002.00463.x.pdf
dc.identifier.doi10.1111/j.0006-341X.2002.00463.xen_US
dc.identifier.sourceBiometricsen_US
dc.identifier.citedreferenceBarndorff-Nielsen, O. E. ( 1986 ). Inference on full and partial parameters, based on the standardized signed log likelihood ratio. Biometrika 73, 307 – 322.en_US
dc.identifier.citedreferenceBarndorff-Nielsen, O. E. ( 1991 ). Modified signed log likelihood ratio. Biometrika 78, 557 – 563.en_US
dc.identifier.citedreferenceBarndorff-Nielsen, O. E. and Cox, D. R. ( 1994 ). Inference and Asymptotics. London : Chapman and Hall.en_US
dc.identifier.citedreferenceBerger, R. L. and Hsu, J. C. ( 1996 ). Bioequivalence trials, intersection-union tests, and equivalence confidence sets. Statistical Science 11, 283 – 315.en_US
dc.identifier.citedreferenceChow, S. C. and Liu, J. P. ( 2000 ). Design and Analysis of Bioavailability and Bioequivalence Studies, 2nd edition. New York : Marcel Dekker.en_US
dc.identifier.citedreferenceCox, D. R. and Hinkley, D. V. ( 1974 ). Theoretical Statistics. London : Chapman and Hall.en_US
dc.identifier.citedreferenceMathSoft. ( 1998 ). S-plus 5 for Unix Guide to Statistics. Seattle, Washington : Mathsoft.en_US
dc.identifier.citedreferenceMcDonald, C. J., Blevins, L., Tierney, W. M., and Martin, D. K. ( 1988 ). The Regenstrief medical records. MD Computing 5, 34 – 47.en_US
dc.identifier.citedreferencePierce, D. A. and Peters, D. ( 1992 ). Practical use of higher order asymptotics for multiparameter exponential families (with discussion). Journal of the Royal Statistical Society, Series B 54, 701 – 737.en_US
dc.identifier.citedreferenceWu, J., Jiang, G., Wong, A., and Sun, X. ( 2001 ). Likelihood-based inference for the ratio of means of two independent log-normal distributions. Technical Report, York University, North York, Ontario, Canada.en_US
dc.identifier.citedreferenceZhou, X. H., Gao, S. J., and Hui, S. L. ( 1997 ). Methods for comparing the means of two independent log-normal samples. Biometrics 53, 1129 – 1135.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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