Sangam: A Confluence of Knowledge Streams

Interval estimation of the mean response in a log-regression model

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dc.contributor Department of Biostatistics, University of Michigan, 1420 Washington Heights, Ann Arbor, MI 48109, U.S.A.
dc.contributor Department of Biostatistics, St Jude Children's Research Hospital, 332 North Lauderdale St., Memphis, TN 38105, U.S.A. ; Department of Biostatistics, St Jude Children's Research Hospital, 332 North Lauderdale Street, Memphis, TN 38105, U.S.A.
dc.contributor SASIT, Atkinson Faculty of Liberal and Professional Studies, York University, 4700 Keele St., North York, Ontario, Canada M3J 1P3
dc.creator Wu, Jianrong
dc.creator Wong, A. C. M.
dc.creator Wei, Wei
dc.date 2007-07-11T18:15:43Z
dc.date 2007-07-11T18:15:43Z
dc.date 2006-06-30
dc.date.accessioned 2022-05-19T13:29:40Z
dc.date.available 2022-05-19T13:29:40Z
dc.identifier Wu, Jianrong; Wong, A. C. M.; Wei, Wei (2006). "Interval estimation of the mean response in a log-regression model." Statistics in Medicine 25(12): 2125-2135. <http://hdl.handle.net/2027.42/55233>
dc.identifier 0277-6715
dc.identifier 1097-0258
dc.identifier http://hdl.handle.net/2027.42/55233
dc.identifier http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=retrieve&db=pubmed&list_uids=16220472&dopt=citation
dc.identifier 16220472
dc.identifier http://dx.doi.org/10.1002/sim.2329
dc.identifier Statistics in Medicine
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/117281
dc.description A standard approach to the analysis of skewed response data with concomitant information is to use a log-transformation to normalize the distribution of the response variable and then conduct a log- regression analysis. However, the mean response at original scale is often of interest. El-Shaarawi and Viveros developed an interval estimation of the mean response of a log-regression model based on large sample theory. There is however very little information available in the literature on constructing such estimates when the sample size is small. In this paper, we develop a small-sample corrected interval by using the likelihood-based inference method developed by Barndorff-Nielson and Fraser et al . Simulation results show that the proposed interval provides almost exact coverage probability, even for small samples. Copyright © 2005 John Wiley & Sons, Ltd.
dc.description Peer Reviewed
dc.description http://deepblue.lib.umich.edu/bitstream/2027.42/55233/1/2329_ftp.pdf
dc.format 115491 bytes
dc.format 3118 bytes
dc.format application/pdf
dc.format text/plain
dc.format application/pdf
dc.publisher John Wiley & Sons, Ltd.
dc.rights IndexNoFollow
dc.subject Mathematics and Statistics
dc.subject Medicine (General)
dc.subject Statistics and Numeric Data
dc.subject Public Health
dc.subject Health Sciences
dc.subject Science
dc.subject Social Sciences
dc.title Interval estimation of the mean response in a log-regression model
dc.type Article


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