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In statistics, the restricted (or residual, or reduced) maximum likelihood (REML) approach is a particular form of maximum likelihood estimation that does not base estimates on a maximum likelihood fit of all the information, but instead uses a likelihood function calculated from a transformed set of data, so that nuisance parameters have no effect.

Attributes	Values
rdfs:label	Restricted maximum likelihood (en)
rdfs:comment	In statistics, the restricted (or residual, or reduced) maximum likelihood (REML) approach is a particular form of maximum likelihood estimation that does not base estimates on a maximum likelihood fit of all the information, but instead uses a likelihood function calculated from a transformed set of data, so that nuisance parameters have no effect. (en)
dcterms:subject	Maximum likelihood estimation
Wikipage page ID	15211981 (xsd:integer)
Wikipage revision ID	1087896564 (xsd:integer)
Link from a Wikipage to another Wikipage	Bias (statistics) University of Edinburgh Nuisance parameter Matlab SAS (software) SPSS Genstat Contrast (statistics) Maximum likelihood estimation Likelihood function M. S. Bartlett MLwiN Stata Statistics JMP (statistical software) Statistical Parametric Mapping ASReml Mixed model BLUPF90 R (programming language) Maximum likelihood Statistical software Variance component dbr:Desmond_Patterson dbr:Robin_Thompson_(statistician)
Link from a Wikipage to an external page	http://archive.irri.org/science/software/cropstat.asp http://didgeridoo.une.edu.au/km/wombat.php http://www.math.mcgill.ca/keith/surfstat/ http://www.ssicentral.com/hlm/ https://cran.r-project.org/web/packages/lme4/index.html https://cran.r-project.org/web/packages/nlme/index.html
sameAs	Restricted maximum likelihood Restricted maximum likelihood Restricted maximum likelihood
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Statistics-stub
has abstract	In statistics, the restricted (or residual, or reduced) maximum likelihood (REML) approach is a particular form of maximum likelihood estimation that does not base estimates on a maximum likelihood fit of all the information, but instead uses a likelihood function calculated from a transformed set of data, so that nuisance parameters have no effect. In the case of variance component estimation, the original data set is replaced by a set of contrasts calculated from the data, and the likelihood function is calculated from the probability distribution of these contrasts, according to the model for the complete data set. In particular, REML is used as a method for fitting linear mixed models. In contrast to the earlier maximum likelihood estimation, REML can produce unbiased estimates of variance and covariance parameters. The idea underlying REML estimation was put forward by M. S. Bartlett in 1937. The first description of the approach applied to estimating components of variance in unbalanced data was by and of the University of Edinburgh in 1971, although they did not use the term REML. A review of the early literature was given by Harville. REML estimation is available in a number of general-purpose statistical software packages, including Genstat (the REML directive), SAS (the MIXED procedure), SPSS (the MIXED command), Stata (the mixed command), JMP (statistical software), and R (especially the lme4 and older nlme packages),as well as in more specialist packages such as MLwiN, HLM, ASReml, BLUPF90, wombat, Statistical Parametric Mapping and CropStat. REML estimation is implemented in Surfstat, a Matlab toolbox for the statistical analysis of univariate and multivariate surface and volumetric neuroimaging data using linear mixed effects models and random field theory, but more generally in the fitlme package for modeling linear mixed effects models in a domain-general way. (en)
gold:hypernym	Form
prov:wasDerivedFrom	wikipedia-en:Restricted_maximum_likelihood?oldid=1087896564&ns=0
page length (characters) of wiki page	4568 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Restricted_maximum_likelihood
is differentFrom of	Maximum likelihood estimation
is Link from a Wikipage to another Wikipage of	Behavioural genetics Biostatistics Ridge regression Maximum likelihood estimation Generalized additive model Genome-wide complex trait analysis Wilks' theorem ASReml Heritability BLUPF90 List of statistics articles REML Reml Residual maximum likelihood Restricted maximum likelihood estimation
is Wikipage redirect of	REML Reml Residual maximum likelihood Restricted maximum likelihood estimation
is foaf:primaryTopic of	wikipedia-en:Restricted_maximum_likelihood

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