Censored mixed-effects models for irregularly observed repeated measures with applications to HIV viral loads
In some acquired immunodeficiency syndrome (AIDS) clinical trials, the human immunodeficiency virus-1 ribonucleic acid measurements are collected irregularly over time and are often subject to some upper and lower detection limits, depending on the quantification assays. Linear and nonlinear mixed-e...
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| Veröffentlicht in: | Test (Madrid, Spain) Spain), 2016-12, Vol.25 (4), p.627-653 |
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| description | In some acquired immunodeficiency syndrome (AIDS) clinical trials, the human immunodeficiency virus-1 ribonucleic acid measurements are collected irregularly over time and are often subject to some upper and lower detection limits, depending on the quantification assays. Linear and nonlinear mixed-effects models, with modifications to accommodate censored observations, are routinely used to analyze this type of data (Vaida and Liu, J Comput Graph Stat 18:797–817,
2009
; Matos et al., Comput Stat Data Anal 57(1):450–464,
2013a
). This paper presents a framework for fitting LMEC/NLMEC with response variables recorded at irregular intervals. To address the serial correlation among the within-subject errors, a damped exponential correlation structure is considered in the random error and an EM-type algorithm is developed for computing the maximum likelihood estimates, obtaining as a byproduct the standard errors of the fixed effects and the likelihood value. The proposed methods are illustrated with simulations and the analysis of two real AIDS case studies. |
| doi_str_mv | 10.1007/s11749-016-0486-2 |
| format | Article |
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2009
; Matos et al., Comput Stat Data Anal 57(1):450–464,
2013a
). This paper presents a framework for fitting LMEC/NLMEC with response variables recorded at irregular intervals. To address the serial correlation among the within-subject errors, a damped exponential correlation structure is considered in the random error and an EM-type algorithm is developed for computing the maximum likelihood estimates, obtaining as a byproduct the standard errors of the fixed effects and the likelihood value. The proposed methods are illustrated with simulations and the analysis of two real AIDS case studies.</description><identifier>ISSN: 1133-0686</identifier><identifier>EISSN: 1863-8260</identifier><identifier>DOI: 10.1007/s11749-016-0486-2</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Acquired immune deficiency syndrome ; Acquired immunodeficiency syndrome ; AIDS ; Algorithms ; Case studies ; Clinical trials ; Computer simulation ; Correlation ; Economics ; Finance ; Fittings ; Health care ; HIV ; Human immunodeficiency virus ; Infections ; Information management ; Insurance ; Intervals ; Lentivirus ; Management ; Mathematics and Statistics ; Medical personnel ; Medical research ; Nonlinearity ; Original Paper ; Parameter estimation ; Retroviridae ; Ribonucleic acid ; Ribonucleic acids ; RNA ; Statistical Theory and Methods ; Statistics ; Statistics for Business ; Studies</subject><ispartof>Test (Madrid, Spain), 2016-12, Vol.25 (4), p.627-653</ispartof><rights>Sociedad de Estadística e Investigación Operativa 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c415t-b873f6b267fb3a421de7be5f0ac2ba8de9c32c163c6e32b97beeafb64ecda3843</citedby><cites>FETCH-LOGICAL-c415t-b873f6b267fb3a421de7be5f0ac2ba8de9c32c163c6e32b97beeafb64ecda3843</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11749-016-0486-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11749-016-0486-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Matos, Larissa A.</creatorcontrib><creatorcontrib>Castro, Luis M.</creatorcontrib><creatorcontrib>Lachos, Víctor H.</creatorcontrib><title>Censored mixed-effects models for irregularly observed repeated measures with applications to HIV viral loads</title><title>Test (Madrid, Spain)</title><addtitle>TEST</addtitle><description>In some acquired immunodeficiency syndrome (AIDS) clinical trials, the human immunodeficiency virus-1 ribonucleic acid measurements are collected irregularly over time and are often subject to some upper and lower detection limits, depending on the quantification assays. Linear and nonlinear mixed-effects models, with modifications to accommodate censored observations, are routinely used to analyze this type of data (Vaida and Liu, J Comput Graph Stat 18:797–817,
2009
; Matos et al., Comput Stat Data Anal 57(1):450–464,
2013a
). This paper presents a framework for fitting LMEC/NLMEC with response variables recorded at irregular intervals. To address the serial correlation among the within-subject errors, a damped exponential correlation structure is considered in the random error and an EM-type algorithm is developed for computing the maximum likelihood estimates, obtaining as a byproduct the standard errors of the fixed effects and the likelihood value. The proposed methods are illustrated with simulations and the analysis of two real AIDS case studies.</description><subject>Acquired immune deficiency syndrome</subject><subject>Acquired immunodeficiency syndrome</subject><subject>AIDS</subject><subject>Algorithms</subject><subject>Case studies</subject><subject>Clinical trials</subject><subject>Computer simulation</subject><subject>Correlation</subject><subject>Economics</subject><subject>Finance</subject><subject>Fittings</subject><subject>Health care</subject><subject>HIV</subject><subject>Human immunodeficiency virus</subject><subject>Infections</subject><subject>Information management</subject><subject>Insurance</subject><subject>Intervals</subject><subject>Lentivirus</subject><subject>Management</subject><subject>Mathematics and Statistics</subject><subject>Medical personnel</subject><subject>Medical research</subject><subject>Nonlinearity</subject><subject>Original Paper</subject><subject>Parameter estimation</subject><subject>Retroviridae</subject><subject>Ribonucleic acid</subject><subject>Ribonucleic acids</subject><subject>RNA</subject><subject>Statistical Theory and Methods</subject><subject>Statistics</subject><subject>Statistics for 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mixed-effects models for irregularly observed repeated measures with applications to HIV viral loads</title><author>Matos, Larissa A. ; Castro, Luis M. ; Lachos, Víctor H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c415t-b873f6b267fb3a421de7be5f0ac2ba8de9c32c163c6e32b97beeafb64ecda3843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Acquired immune deficiency syndrome</topic><topic>Acquired immunodeficiency syndrome</topic><topic>AIDS</topic><topic>Algorithms</topic><topic>Case studies</topic><topic>Clinical trials</topic><topic>Computer simulation</topic><topic>Correlation</topic><topic>Economics</topic><topic>Finance</topic><topic>Fittings</topic><topic>Health care</topic><topic>HIV</topic><topic>Human immunodeficiency virus</topic><topic>Infections</topic><topic>Information 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Linear and nonlinear mixed-effects models, with modifications to accommodate censored observations, are routinely used to analyze this type of data (Vaida and Liu, J Comput Graph Stat 18:797–817,
2009
; Matos et al., Comput Stat Data Anal 57(1):450–464,
2013a
). This paper presents a framework for fitting LMEC/NLMEC with response variables recorded at irregular intervals. To address the serial correlation among the within-subject errors, a damped exponential correlation structure is considered in the random error and an EM-type algorithm is developed for computing the maximum likelihood estimates, obtaining as a byproduct the standard errors of the fixed effects and the likelihood value. The proposed methods are illustrated with simulations and the analysis of two real AIDS case studies.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s11749-016-0486-2</doi><tpages>27</tpages></addata></record> |
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| ispartof | Test (Madrid, Spain), 2016-12, Vol.25 (4), p.627-653 |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Acquired immune deficiency syndrome Acquired immunodeficiency syndrome AIDS Algorithms Case studies Clinical trials Computer simulation Correlation Economics Finance Fittings Health care HIV Human immunodeficiency virus Infections Information management Insurance Intervals Lentivirus Management Mathematics and Statistics Medical personnel Medical research Nonlinearity Original Paper Parameter estimation Retroviridae Ribonucleic acid Ribonucleic acids RNA Statistical Theory and Methods Statistics Statistics for Business Studies |
| title | Censored mixed-effects models for irregularly observed repeated measures with applications to HIV viral loads |
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