{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T11:56:46Z","timestamp":1775563006049,"version":"3.50.1"},"reference-count":30,"publisher":"Public Library of Science (PLoS)","issue":"1","license":[{"start":{"date-parts":[[2014,1,21]],"date-time":"2014-01-21T00:00:00Z","timestamp":1390262400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/publicdomain\/zero\/1.0\/"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"DOI":"10.1371\/journal.pone.0084778","type":"journal-article","created":{"date-parts":[[2014,1,21]],"date-time":"2014-01-21T16:43:09Z","timestamp":1390322589000},"page":"e84778","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":18,"title":["Linear Mixed Effects Models under Inequality Constraints with Applications"],"prefix":"10.1371","volume":"9","author":[{"given":"Laura","family":"Farnan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasia","family":"Ivanova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shyamal D.","family":"Peddada","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2014,1,21]]},"reference":[{"key":"ref1","volume":"41,","unstructured":"Dinse GE (1985) Testing for a trend in tumor prevalence rates: I. Nonlethal tumors. Biometrics, <volume>41, <\/volume>: 751\u2013770."},{"key":"ref2","doi-asserted-by":"crossref","first-page":"1212","DOI":"10.1198\/016214506000001356","article-title":"Incorporating Historical Control Data When Comparing Tumor Incidence Rates.","volume":"102","author":"SD Peddada","year":"2007","journal-title":"J. Amer. Stat. Assoc"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"e1000409","DOI":"10.1371\/journal.pcbi.1000409","article-title":"Spatio-Temporal Dynamics of Yeast Mitochondrial Biogenesis: Transcriptional and Post-Transcriptional mRNA Oscillatory Modules","volume":"5(6)","author":"G Lelandais","year":"2009","journal-title":"PLoS Comput Biol"},{"key":"ref4","doi-asserted-by":"crossref","unstructured":"Jensen LJ, Jensen TS, de Lichtenberg U, Brunak S, Bork P (2006) Co-evolution of transcriptional and posttranslational cell-cycle regulation. Nature. 443|5. doi:10.1038\/nature05186.","DOI":"10.1038\/nature05186"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1038\/ng1377","article-title":"Periodic gene expression program of the fission yeast cell cycle.","volume":"36","author":"G Rustici","year":"2004","journal-title":"Nature Genet"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1146\/annurev.genet.39.110304.095808","article-title":"Cell-cycle control of gene expression in budding and fission yeast.","volume":"39","author":"J Bahler","year":"2005","journal-title":"Annu. Rev. Genet"},{"key":"ref7","first-page":"1239","article-title":"The cell cycle-regulated genes of Schizosaccharomyces pombe","volume":"3(7)","author":"A Oliva","year":"2005","journal-title":"PLoS Biol"},{"key":"ref8","volume":"40","unstructured":"Fernandez M, Rueda C, Peddada SD (2012) Identification of a core set of signature cell-cycle genes whose relative order of time to peak expression is conserved across species. Nucleic Acids Research, <volume>40<\/volume>: : 2823\u201332. Epub 2011\/12\/03. doi: 10.1093\/nar\/gkr1077."},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"Kondratova AA, Kondratov RV (2012) The circadian clock and pathology of the ageing brain. Nature Reviews Neuroscience, doi:10.1038\/nrn3208","DOI":"10.1038\/nrn3208"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1038\/nrn1177","article-title":"A clockwork web: circadian timing in brain and periphery, in health and disease","volume":"4","author":"MH Hastings","year":"2003","journal-title":"Nature Reviews Neuroscience"},{"key":"ref11","unstructured":"Silvapulle MJ, Sen PK (2005) Constrained statistical inference: Inequality, order, and shape restrictions. Hoboken, N.J.: Wiley-Interscience."},{"key":"ref12","doi-asserted-by":"crossref","first-page":"834","DOI":"10.1093\/bioinformatics\/btg093","article-title":"Gene selection and clustering for time-course and dose-response microarray experiments using order-restricted inference","volume":"19","author":"SD Peddada","year":"2003","journal-title":"Bioinformatics"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"3933","DOI":"10.1093\/bioinformatics\/bti637","article-title":"ORIOGEN: Order Restricted Inference for Ordered Gene Expression data","volume":"21","author":"SD Peddada","year":"2005","journal-title":"Bioinformatics"},{"key":"ref14","doi-asserted-by":"crossref","unstructured":"Khuri AI, Mathew T, Sinha BK (1998) Statistical tests for mixed linear models. New York: Wiley.","DOI":"10.1002\/9781118164860"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1093\/biomet\/75.3.616","article-title":"Order restricted inference in a repeated measures model","volume":"75","author":"H Mukerjee","year":"1988","journal-title":"Biometrika"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0167-7152(97)00044-8","article-title":"On order restricted inference in some mixed linear models","volume":"36","author":"MJ Silvapulle","year":"1997","journal-title":"Statistics & Probability Letters"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/0167-7152(92)90016-X","article-title":"Testing for and against an order restriction in mixed-effects models","volume":"9","author":"B Singh","year":"1990","journal-title":"Statistics & Probability Letters"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1093\/biostatistics\/kxq051","article-title":"Constrained inference in mixed-effects models for longitudinal data with application to hearing loss","volume":"12","author":"O Davidov","year":"2011","journal-title":"Biostatistics"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"1761","DOI":"10.1002\/sim.5335","article-title":"Order-restricted inference for multivariate longitudinal data with applications to the natural history of hearing loss","volume":"31","author":"S Rosen","year":"2012","journal-title":"Statistics in Medicine"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1002\/cjs.11126","article-title":"Testing for generalized linear mixed models with cluster correlated data under linear inequality constraints","volume":"40","author":"KA Davis","year":"2012","journal-title":"Canadian Journal of Statistics"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1080\/01621459.1972.10481212","article-title":"Estimation of variance and covariance components in linear models","volume":"67","author":"CR Rao","year":"1972","journal-title":"Journal of the American Statistical Association"},{"key":"ref22","unstructured":"Rao CR, Kleffe J (1988) Estimation of variance components and applications. Amsterdam; New York; New York, N.Y., U.S.A.: North-Holland."},{"key":"ref23","doi-asserted-by":"crossref","unstructured":"Searle SR, Casella G, McCulloch CE (1992) Variance components. New York: Wiley.","DOI":"10.1002\/9780470316856"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1016\/j.jpeds.2010.08.036","article-title":"Efficacy of succimer chelation of mercury at background exposures in toddlers: A randomized trial","volume":"158","author":"Y Cao","year":"2011","journal-title":"The Journal of Pediatrics"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1214\/aos\/1176325358","article-title":"Confidence Interval Estimation Subject to Order Restrictions","volume":"22","author":"JTG Hwang","year":"1994","journal-title":"Annals of Statistics"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"103","DOI":"10.2307\/2528930","article-title":"A test for differences between treatment means when several dose levels are compared with a zero dose control","volume":"27","author":"DA Williams","year":"1971","journal-title":"Biometrics"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"519","DOI":"10.2307\/2556164","article-title":"The comparison of several dose levels with a zero dose control","volume":"28","author":"DA Williams","year":"1972","journal-title":"Biometrics"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1093\/biomet\/64.1.9","article-title":"Some inference procedures for monotonically ordered normal means","volume":"64","author":"DA Williams","year":"1977","journal-title":"Biometrika"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1111\/j.0006-341X.2001.01219.x","article-title":"Tests for order restrictions in binary data","volume":"57","author":"SD Peddada","year":"2001","journal-title":"Biometrics"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1046\/j.1365-3016.1998.00122.x","article-title":"The treatment of lead-exposed children (TLC) trial: Design and recruitment for a study of the effect of oral chelation on growth and development in toddlers","volume":"12","author":"WJ Rogan","year":"1998","journal-title":"Paediatric and Perinatal Epidemiology"}],"container-title":["PLoS ONE"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pone.0084778","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,10,23]],"date-time":"2018-10-23T21:54:49Z","timestamp":1540331689000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0084778"}},"subtitle":[],"editor":[{"given":"Xiaofeng","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2014,1,21]]},"references-count":30,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2014,1,21]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0084778","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1,21]]}}}