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lme4: Linear Mixed-Effects Models using 'Eigen' and S4

Fit linear and generalized linear mixed-effects models. The models and their components are represented using S4 classes and methods. The core computational algorithms are implemented using the 'Eigen' C++ library for numerical linear algebra and 'RcppEigen' "glue".

Version:1.1-38
Depends:R (≥ 3.6.0),Matrix, methods, stats
Imports:graphics, grid, splines, utils, parallel,MASS,lattice,boot,nlme (≥ 3.1-123),minqa (≥ 1.1.15),nloptr (≥ 1.0.4),reformulas (≥ 0.3.0),rlang,Rdpack
LinkingTo:Rcpp (≥ 0.10.5),RcppEigen (≥ 0.3.3.9.4),Matrix (≥1.5-0)
Suggests:knitr,rmarkdown,MEMSS,testthat (≥ 0.8.1),ggplot2,mlmRev,optimx (≥ 2013.8.6),gamm4,pbkrtest,HSAUR3,numDeriv,car,dfoptim,mgcv,statmod,rr2,semEff,tibble,merDeriv
Enhances:DHARMa,performance
Published:2025-12-02
DOI:10.32614/CRAN.package.lme4
Author:Douglas BatesORCID iD [aut], Martin MaechlerORCID iD [aut], Ben BolkerORCID iD [aut, cre], Steven WalkerORCID iD [aut], Rune Haubo Bojesen ChristensenORCID iD [ctb], Henrik SingmannORCID iD [ctb], Bin Dai [ctb], Fabian ScheiplORCID iD [ctb], Gabor Grothendieck [ctb], Peter GreenORCID iD [ctb], John Fox [ctb], Alexander Bauer [ctb], Pavel N. KrivitskyORCID iD [ctb, cph] (shared copyright on simulate.formula), Emi TanakaORCID iD [ctb], Mikael JaganORCID iD [ctb], Ross D. BoylanORCID iD [ctb], Anna LyORCID iD [ctb]
Maintainer:Ben Bolker <bbolker+lme4 at gmail.com>
BugReports:https://github.com/lme4/lme4/issues
License:GPL-2 |GPL-3 [expanded from: GPL (≥ 2)]
URL:https://github.com/lme4/lme4/
NeedsCompilation:yes
Citation:lme4 citation info
Materials:NEWS,ChangeLog
In views:ClinicalTrials,Econometrics,Environmetrics,MixedModels,Psychometrics,SpatioTemporal
CRAN checks:lme4 results

Documentation:

Reference manual:lme4.html ,lme4.pdf
Vignettes:Autoscaling in lme4 (source,R code)
lme4 performance tips (source,R code)
Computational Methods (source,R code)
Fitting Linear Mixed-Effects Models using lme4 (source,R code)
PLS vs GLS for LMMs (source,R code)

Downloads:

Package source: lme4_1.1-38.tar.gz
Windows binaries: r-devel:lme4_1.1-38.zip, r-release:lme4_1.1-38.zip, r-oldrel:lme4_1.1-38.zip
macOS binaries: r-release (arm64):lme4_1.1-38.tgz, r-oldrel (arm64):lme4_1.1-38.tgz, r-release (x86_64):lme4_1.1-38.tgz, r-oldrel (x86_64):lme4_1.1-38.tgz
Old sources: lme4 archive

Reverse dependencies:

Reverse depends:afex,agRee,arm,bapred,BClustLonG,blme,cAIC4,carcass,CLME,eirm,gamm4,glmertree,glmmPen,GLMMRR,influence.ME,ISLET,lme4breeding,lme4GS,LMERConvenienceFunctions,lmerTest,longpower,marked,MDMR,MEMSS,merDeriv,mermboost,merTools,MIIPW,mixAK,MixRF,mlma,mlmRev,MultisiteMediation,mvMISE,panelr,pbkrtest,pedigreemm,predictmeans,predint,QualityMeasure,r2mlm,robustBLME,robustlmm,sae,simr,SPCDAnalyze,structree,vcPB,WebPower,WeMix
Reverse imports:abn,actuaRE,agriutilities,AgroR,altmeta,ANCOMBC,ARTool,AssumpSure,attrib,autoMrP,autonomics,bayesammi,BayesCACE,BayesLN,BayesSenMC,baystability,BCClong,BFpack,bin2norm,blmeco,boot.pval,BradleyTerry2,breakaway,brokenstick,buildmer,CalibrationCurves,car,catalytic,ceas,censcyt,cgam,chngpt,CIMPLE,cito,ciTools,CleaningValidation,climwin,clinicalsignificance,clintools,clustTMB,CMatching,cobin,ComBatFamQC,CompositeReliability,compositeReliabilityInNestedDesigns,confintROB,conversim,cpr,CR2,crctStepdown,CRTspat,cv,cvms,dataquieR,daySupply,DClusterm,designr,DHARMa,diagmeta,diffcyt,difR,distfreereg,dmlalg,doremi,doseR,dplR,dreamlet,dsBase,eatRep,EdSurvey,eefAnalytics,effects,epr,epts,EQUALSTATS,ESTER,EstimateBreed,evolvability,ez,faraway,fastFMM,faux,fence,finalfit,fishmethods,fullfact,galamm,gammi,geeasy,geex,gemR,GeoDiff,glm.predict,glmm.hp,GLMMcosinor,glmmEP,glmmSeq,glmmTMB,GLMpack,GRAB,grafify,gvcR,HDANOVA,ib,iccbeta,iccmult,IDmeasurer,IMTest,inferference,INLAjoint,INSPECTumours,inti,intRvals,isni,iSTAY,IVAS,jlmerclusterperm,joineRML,jomo,jstable,JWileymisc,KenSyn,konfound,lefko3,LEGIT,likelihoodR,LKT,LongDat,longsurr,LSAmitR,maaslin3,MAGNAMWAR,manymodelr,MariNET,MBECS,MCM,MDMA,MECfda,mecor,MedianaDesigner,mediation,meta,metadeconfoundR,metamicrobiomeR,metamisc,metan,metaplus,MethodCompare,MF.beta4,micemd,MIGEE,MiRKAT,misty,mixedbiastest,MixedPsy,MLID,mlmhelpr,mlmpower,mlmtools,MLMusingR,mlVAR,MMeM,modnets,MRStdCRT,msqrob2,MSstats,MSstatsTMT,mult.latent.reg,multid,multiDimBio,multilevelmod,multilevelTools,multisite.accuracy,multitool,multpois,muscat,mxnorm,netmediate,pamm,partR2,pastaPlot,PBImisc,pcgen,pcvr,pdR,PepSetTest,peramo,petersenlab,Phenotype,PheVis,phoenics,phyr,piecewiseSEM,plgraphics,PLmixed,pmm,POMA,PoolTestR,powerbydesign,PowRPriori,pprof,projpred,psc,psfmi,psme,PSweight,ptmixed,PUMP,pvca,pwlmm,qape,qbrms,qra,quest,rADA,raincin,Rcmdr,RcmdrPlugin.TeachStat,readyomics,ReducedExperiment,refund,refund.shiny,reghelper,regplot,REndo,repmod,reproducer,rewie,rexposome,RLRsim,rockchalk,ROTS,rpql,rptR,rqlm,rr2,RRreg,rsq,rstanarm,RStanTVA,RVAideMemoire,saeczi,samplr,sdmTMB,semEff,ShinyItemAnalysis,SIAmodules,SignacX,siland,SimplyAgree,skpr,smicd,smoppix,snm,SoyNAM,spAbundance,specr,splithalf,spOccupancy,spsurvey,squid,stabiliser,stability,standardize,statgenGxE,statgenSTA,steppedwedge,stevemisc,SumcaVer1,Surrogate,surrosurv,svycoxme,svylme,swaprinc,swCRTdesign,TcGSA,toscca,trace,treekoR,trouBBlme4SolveR,tukeytrend,VAJointSurv,variancePartition,varTestnlme,VCA,VetResearchLMM,vglmer,vibass,warpMix,WeightedCluster,weights,welchADF,ZLAvian
Reverse suggests:AgreementInterval,agridat,AICcmodavg,ANOM,aod,aods3,asympDiag,autoReg,bartCause,BayesFactor,bayestestR,BGData,bregr,brms,brolgar,broom,broom.helpers,broom.mixed,bruceR,Cardinal,cardx,catdata,catregs,clubSandwich,cocoon,connected,correlation,corrselect,ctsem,DAAG,DAPAR,datawizard,dlnm,doBy,dominanceanalysis,domir,dscore,easyViz,ecostats,effectsize,EgoCor,embed,emmeans,Epi,epimdr,equatiomatic,eyetrackingR,FBMS,finetune,flexmix,flextable,FRK,gamair,ggeffects,gglm,ggResidpanel,ggstatsplot,glmmML,glmmsel,glmulti,gmodels,gratia,gtsummary,hamlet,HelpersMG,HLMdiag,hmclearn,hnp,HSAUR,HSAUR2,HSAUR3,huxtable,ICCbin,ILSAstats,injurytools,insight,interactions,ipmr,irtrees,jointest,jtools,kerasnip,KFAS,kyotil,languageR,latrend,lava,lavaSearch2,LegATo,likelihoodAsy,lmeInfo,lmeresampler,lmfor,LMMstar,longmixr,lucid,lvmisc,marginaleffects,margins,MARSS,MAST,matrixset,mbest,MESS,metadat,metafor,MethComp,mice,miceadds,mitml,mixlm,mlpwr,mlr3fda,mlr3pipelines,mmrm,modelbased,modelsummary,mrap,mrIML,multcomp,multilevelcoda,MuMIn,NHSRdatasets,OlinkAnalyze,OnAge,OpenMx,ordinal,pan,papaja,parameters,pda,performance,permutes,pez,phia,polypoly,postHoc,psych,purge,R2admb,r2glmm,randRotation,RcmdrPlugin.NMBU,rdss,reformulas,report,RESI,rfars,rmcorr,RoBMA,rtables,samplingDataCRT,sandwich,SARP.compo,SASmixed,scicomptools,ScottKnott,see,sense,shinybrms,simglm,SimSurvey,singcar,sjPlot,sjstats,sjtable2df,sleev,slim,sosta,SpaDES.core,spaMM,sparsenetgls,splatter,stan4bart,statlingua,supernova,SynergyLMM,tableone,tidybulk,tidyfit,tidyLPA,tidytreatment,tram,tramME,TripleR,TukeyC,unvs.med,valueprhr,visreg,VizTest,ZIBR
Reverse enhances:biometryassist,immer,LAM,memisc,papeR,prediction,stargazer,texreg

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