Ajout de références pour le REML

references.bib

@@ -1,3 +1,19 @@
+@article{bartlettPropertiesSufficiencyStatistical1997,
+  title = {Properties of Sufficiency and Statistical Tests},
+  author = {Bartlett, Maurice Stevenson and Fowler, Ralph Howard},
+  date = {1997-01},
+  journaltitle = {Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences},
+  volume = {160},
+  number = {901},
+  pages = {268--282},
+  publisher = {Royal Society},
+  doi = {10.1098/rspa.1937.0109},
+  url = {https://royalsocietypublishing.org/doi/10.1098/rspa.1937.0109},
+  urldate = {2024-03-17},
+  abstract = {1—In a previous paper, dealing with the importance of properties of sufficiency in the statistical theory of small samples, attention was mainly confined to the theory of estimation. In the present paper the structure of small sample tests, whether these are related to problems of estimation and fiducial distributions, or are of the nature of tests of goodness of fit, is considered further. The notation a | b implies as before that the variate a is conditioned by a given value of b. The fixed variate b may be denoted by | b, and analogously if b is clear from the context, a | b may be written simply as a |. Corresponding to the idea of ancillary information introduced by Fisher for the case of a single unknown θ, where auxiliary statistics control the accuracy of our estimate, I have termed a conditional statistic of the form T |, quasi-sufficient, if its distribution satisfies the “sufficiency” property and contains all the information on θ. In the more general case of other unknowns, such a statistic may contain all the available information on θ.},
+  file = {/home/polarolouis/Zotero/storage/GL9RVUJA/Bartlett et Fowler - 1997 - Properties of sufficiency and statistical tests.pdf}
+}
+
 @unpublished{bastideContinuousTraitEvolution,
   title = {Continuous {{Trait Evolution}}},
   author = {Bastide, Paul and Clavel, Julien},
@@ -110,6 +126,24 @@
   file = {/home/polarolouis/Zotero/storage/GBE54CP9/j.1558-5646.2012.01715.x.pdf.pdf;/home/polarolouis/Zotero/storage/NCIMVLYA/Gomez-Mestre et al. - 2012 - Phylogenetic Analyses Reveal Unexpected Patterns i.pdf;/home/polarolouis/Zotero/storage/UWSX6UBK/j.1558-5646.2012.01715.html}
 }
 
+@article{harvilleMaximumLikelihoodApproaches1977,
+  title = {Maximum {{Likelihood Approaches}} to {{Variance Component Estimation}} and to {{Related Problems}}},
+  author = {Harville, David A.},
+  date = {1977-06-01},
+  journaltitle = {Journal of the American Statistical Association},
+  volume = {72},
+  number = {358},
+  pages = {320--338},
+  publisher = {Taylor \& Francis},
+  issn = {0162-1459},
+  doi = {10.1080/01621459.1977.10480998},
+  url = {https://www.tandfonline.com/doi/abs/10.1080/01621459.1977.10480998},
+  urldate = {2024-03-17},
+  abstract = {Recent developments promise to increase greatly the popularity of maximum likelihood (ml) as a technique for estimating variance components. Patterson and Thompson (1971) proposed a restricted maximum likelihood (reml) approach which takes into account the loss in degrees of freedom resulting from estimating fixed effects. Miller (1973) developed a satisfactory asymptotic theory for ml estimators of variance components. There are many iterative algorithms that can be considered for computing the ml or reml estimates. The computations on each iteration of these algorithms are those associated with computing estimates of fixed and random effects for given values of the variance components.},
+  keywords = {Maximum likelihood,Maximum likelihood computations,Mixed linear models,Restricted maximum likelihood,Variance component estimation},
+  file = {/home/polarolouis/Zotero/storage/KG4QQ42Y/Harville - 1977 - Maximum Likelihood Approaches to Variance Componen.pdf}
+}
+
 @article{kuznetsovaLmerTestPackageTests2017,
   title = {{{{\textbf{lmerTest}}}} {{Package}}: {{Tests}} in {{Linear Mixed Effects Models}}},
   shorttitle = {{{{\textbf{lmerTest}}}} {{Package}}},
@@ -127,6 +161,22 @@
   file = {/home/polarolouis/Zotero/storage/GM4PNU23/Kuznetsova et al. - 2017 - lmerTest Package Tests in Linear Mixed Eff.pdf}
 }
 
+@article{pattersonRecoveryInterblockInformation1971,
+  title = {Recovery of Inter-Block Information When Block Sizes Are Unequal},
+  author = {PATTERSON, H. D. and THOMPSON, R.},
+  date = {1971-12-01},
+  journaltitle = {Biometrika},
+  volume = {58},
+  number = {3},
+  pages = {545--554},
+  issn = {0006-3444},
+  doi = {10.1093/biomet/58.3.545},
+  url = {https://doi.org/10.1093/biomet/58.3.545},
+  urldate = {2024-03-17},
+  abstract = {A method is proposed for estimating intra-block and inter-blook weights in the analysis of incomplete block designs with block sizes not necessarily equal. The method consists of maximizing the likelihood, not of all the data, but of a set of selected error contrasts. When block sizes are equal results are identical with those obtained by the method of Nelder (1968) for generally balanced designs. Although mainly concerned with incomplete block designs the paper also gives in outline an extension of the modified maximum likelihood procedure to designs with a more complicated block structure.},
+  file = {/home/polarolouis/Zotero/storage/D8A7BJLJ/PATTERSON et THOMPSON - 1971 - Recovery of inter-block information when block siz.pdf;/home/polarolouis/Zotero/storage/3X2LE4VH/233494.html}
+}
+
 @book{petersenMatrixCookbook2012,
   title = {The {{Matrix Cookbook}}},
   author = {Petersen, Kaare Brandt and Pedersen, Michael Syskind},