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@BOOK{R:Venables+Ripley:2000,AUTHOR = {William N. Venables and Brian D. Ripley},TITLE = {S Programming},PUBLISHER = {Springer},YEAR = 2000,NOTE = {ISBN 0-387-98966-8},URL = {http://www.stats.ox.ac.uk/pub/MASS3/Sprog/},ABSTRACT = {This provides an in-depth guide to writing softwarein the S language which forms the basis of both thecommercial S-PLUS and the Open Source R dataanalysis software systems.}}@BOOK{R:Chambers+Hastie:1992,AUTHOR = {John M. Chambers and Trevor J. Hastie},TITLE = {Statistical Models in {S}},PUBLISHER = {Chapman \& Hall},YEAR = 1992,ADDRESS = {London},ISBN = {0-412-83040-X},ABSTRACT = {This is also called the ``\emph{White Book}'', andintroduced S version 3, which added structures tofacilitate statistical modeling in S. }}@Article{Rnews:Gentleman+Carey:2002,author = {Robert Gentleman and Vincent Carey},title = {Bioconductor},journal = {R News},year = 2002,volume = 2,number = 1,pages = {11--16},month = {March},url = {http://CRAN.R-project.org/doc/Rnews/}}@article{Ke:Wang:2001,author = {Ke, Chunlei and Wang, Yuedong},title = {Semiparametric nonlinear mixed-effects models andtheir applications},year = {2001},journal = {Journal of the American Statistical Association},volume = {96},number = {456},pages = {1272--1298},keywords = {NONLINEAR MIXED EFFECTS MODEL; Penalized likelihood;Repeated measures; SELF-MODELING NONLINEARREGRESSION; Smoothing spline}}@Article{Lind:Bate:1988,author = {Lindstrom, Mary J. and Bates, Douglas M.},title = {Newton-{R}aphson and {EM} algorithms for linearmixed-effects models for repeated-measures data({C}orr: 94{V}89 p1572)},year = {1988},journal = {Journal of the American Statistical Association},volume = {83},pages = {1014--1022},keywords = {Growth curve; Longitudinal data}}@ARTICLE{Atlas,AUTHOR = "R. Clint Whaley and Antoine Petitet and Jack J. Dongarra",TITLE = "Automated Empirical Optimization of Software and the{ATLAS} Project",JOURNAL = "Parallel Computing",VOLUME = "27",NUMBER = "1--2",PAGES = "3--35",YEAR = 2001,NOTE = "Also available as University of Tennessee LAPACK WorkingNote \#147, UT-CS-00-448, 2000({\tt www.netlib.org/lapack/lawns/lawn147.ps})"}@TechReport{GotosBLAS,author = {Kazushige Goto and Robert van de Geijn},title = {On Reducing TLB Misses in Matrix Multiplication},institution = {Department of Computer Sciences, U. of Texas at Austin},year = 2002,number = {TR02-55}}@Misc{Taucs,author = {Sivan Toledo},title = {Taucs: A Library of Sparse Linear Solvers},howpublished = {http://www.tau.ac.il/~stoledo/taucs/},year = 2003}@Misc{Umfpack,author = {Tim Davis},title = {UMFPACK: Unified Multifrontal Package},howpublished = {http://www.cise.ufl.edu/research/sparse/umfpack},year = 2003}@misc{Cholmod,author = {Tim Davis},title = {{CHOLMOD}: sparse supernodal {Cholesky} factorizationand update/downdate},howpublished = {http://www.cise.ufl.edu/research/sparse/cholmod},year = 2005}@Misc{CSparse,author = {Tim Davis},title = {{CSparse}: a concise sparse matrix package},howpublished = {http://www.cise.ufl.edu/research/sparse/CSparse},year = 2005}@Book{davis06:csparse_book,author = {Timothy A. Davis },title = {Direct Methods for Sparse Linear Systems},publisher = {SIAM},year = 2006,series = {Fundamentals of Algorithms}}@Misc{Metis,author = {George Karapis},title = {Metis: Family of Multilevel Partioning Algorithms},howpublished = {http://www-users.cs.umn.edu/~karypis/metis/},year = 2003}@Book{Linpack,author = {Jack Dongarra and Cleve Moler and Bunch and G.W. Stewart},title = {Linpack Users' Guide},publisher = {SIAM},year = 1979}@Book{Lapack,author = {E. Anderson and Z. Bai and C. Bischof andS. Blackford and J. Demmel and J. Dongarra and J. DuCroz and A. Greenbaum and S. Hammarling andA. McKenney and D. Sorensen},title = {LAPACK Users' Guide},chapter = {},publisher = {SIAM},year = 1999,address = {Philadelphia, PA},edition = {3rd}}@Book{bryk00:_hlm,author = {A. S. Bryk and S. W. Raudenbush and R. Congdon},title = {{HLM} version 5},publisher = {Scientific Software International, Inc.},year = 2000,address = {Chicago}}@Article{demp:lair:rubi:1977,Journal = JRSSB,Volume = 39,Pages = {1--22},Keywords = {Posterior mode},Author = {A. P. Dempster and N. M. Laird and D. B. Rubin},Title = {Maximum Likelihood From Incomplete Data Via the {EM}Algorithm},Year = 1977}@Book{denn:schn:1983,author = {J. E. Dennis and R. B. Schnabel},title = {Numerical Methods for Unconstrained Optimization andNonlinear Equations},publisher = {Prentice-Hall},year = 1983,address = {Englewood Cliffs, NJ}}@Book{dong:bunc:mole:stew:1979,publisher = "SIAM",address = "Philadelphia",author = "J. J. Dongarra and J. R. Bunch and C. B. Moler andG. W. Stewart",title = "Linpack Users' Guide",year = 1979}@Book{goldstein98:_mlwin,author = {H. Goldstein and J. Rasbash and I. Plewis andD. Draper and W. Browne and M. Wang},title = {A user's guide to {MLwiN}},publisher = {University of London, Institute of Education},year = 1998,address = {London}}@Book{golu:vanl:1996,author = {Golub, Gene H. and van Loan, Charles F.},title = {Matrix Computations},publisher = {Johns Hopkins},year = 1996,edition = {3rd}}@Article{ harv:1974,author = {Harville, David A.},title = {Bayesian Inference for Variance Components UsingOnly Error Contrasts},journal = {Biometrika},year = 1974,volume = 61,pages = {383--385},keywords = {Maximum likelihood}}@Article{ lair:ware:1982,author = {Laird, Nan M. and Ware, James H.},title = {Random-effects Models for Longitudinal Data},journal = {Biometrics},year = 1982,volume = 38,pages = {963--974},keywords = {Variance components; Repeated measurements;Empirical Bayes; EM algorithm}}@Book{lapack:1992,publisher = "SIAM",address = "Philadelphia",author = "E. Anderson and Z. Bai and C. Bischof and J. Demmeland J. Dongarra and J. Du Croz and A. Greenbaum andS. Hammaring and A. McKenney and S. Ostrouchov andD. Sorensen",title = "Lapack Users' Guide",year = 1992}@Article{liu:rubi:1994,author = {Liu, Chuanhai and Rubin, Donald B.},title = {The {ECME} algorithm: {A} simple extension of {EM}and {ECM} with faster monotone convergence},year = {1994},journal = {Biometrika},volume = {81},pages = {633--648},keywords = {Markov chain monte carlo; Incomplete data}}@article{patt:thom:1971,Author = {Patterson, H. D. and Thompson, R.},Title = {Recovery of Interblock Information When Block SizesAre Unequal},Year = 1971,Journal = {Biometrika},Volume = 58,Pages = {545--554},Keywords = {Incomplete block design; Components of variance;Maximum likelihood; Design of experiments}}@phdthesis{pinh:1994,author = {Jos\'{e} C. Pinheiro},title = {Topics in Mixed-Effects Models},school = {University of Wisconsin},year = 1994,address = {Madison, WI}}@Article{pinh:bate:1995,author = "Jos\'{e} C. Pinheiro and Douglas M. Bates",title = "Approximations to the Log-Likelihood Function in theNonlinear Mixed-Effects Model",year = 1995,journal = "Journal of Computational and Graphical Statistics",volume = 4,number = 1,pages = "12--35"}@Article{ pinh:bate:1996,author = {Jos\'{e} C. Pinheiro and Douglas M. Bates},title = {Unconstrained Parameterizations for Variance-CovarianceMatrices},journal = {Statistics and Computing},year = 1996,volume = 6,pages = {289--296}}@Book{pinh:bate:2000,author = {Jos\'{e} C. Pinheiro and Douglas M. Bates},title = {Mixed-Effects Models in {S} and {S-PLUS}},year = 2000,pages = {528},ISBN = {0-387-98957-9},publisher = {Springer}}@Article{schn:koon:1985,Journal = {ACM Trans. Math. Software},Volume = 11,Pages = {419--440},Author = {R. B. Schnabel and J. E. Koontz and B. E. Weiss},Title = {A modular system of algorithms for unconstrainedminimization},Year = 1985}@book{snijders99:_multil_analy,author = {Tom Snijders and Roel Bosker},title = {Multilevel Analysis: An introduction to basic andadvanced multilevel analysis},publisher = {Sage},year = 1999,address = {London}}@book{this:1988,Author = {Thisted, R. A.},Title = {Elements of Statistical Computing},Year = 1988,Publisher = {Chapman \& Hall},address = {London}}@Article{van:2000,author = {van Dyk, David A.},title = {Fitting mixed-effects models using efficient{EM}-type algorithms},year = {2000},journal = {Journal of Computational and Graphical Statistics},volume = {9},number = {1},pages = {78--98},keywords = {EM algorithm; ECME algorithm; Gaussian hierarchicalmodels; Posterior inference; PXEM algorithm;random-effects models; Reml; variance-componentmodels; working parameters}}@misc{jfox:2002,author = {Fox, John},title = {Linear Mixed Models --Appendix to {An R and S-PLUS Companion toApplied Regression}},year = 2002,month= {May},url = {http://www.socsci.mcmaster.ca/jfox/Books/companion/appendix-mixed-models.pdf}}@book{roge:1980,Author = {Rogers, Gerald S.},Title = {Matrix Derivatives},Year = 1980,Publisher = {Marcell Dekker, Inc.},address = {New York and Basel}}@TechReport{DebRoy:Bates:2003a,author = {Saikat DebRoy and Douglas M. Bates},title = {Computational Methods for Single Level LinearMixed-effects Models},institution = {Department of Statistics, University of Wisconsin-Madison},number = {1073},year = 2003}@TechReport{DebRoy:Bates:2003b,author = {Saikat DebRoy and Douglas M. Bates},title = {Computational Methods for Multiple Level LinearMixed-effects Models},institution = {Department of Statistics, University of Wisconsin-Madison},number = {1076},year = 2003}@Article{RaudenbushYangYosef:2000,author = {Stephen W. Raudenbush and Meng-Li Yang and Matheos Yosef},title = {Maximum Likelihood for Generalized Linear ModelsWith Nested Random Effects via High-Order,Multivariate {L}aplace Approximation},journal = {J. Comput. Graph. Statist.},year = 2000,volume = 9,number = 1,pages = {141--157}}@Book{goldstein87:_multil,author = {Goldstein, Harvey},title = {Multilevel models in education and social research},publisher = {Oxford University Press},year = 1987}@Book{raudenbush02:_hierar_linear_model,author = {Stephen W. Raudenbush and Anthony S. Bryk},title = {Hierarchical Linear Models: Applications and Data Analysis Methods},publisher = {Sage},year = 2002,edition = {second},ISBN = {0-7619-1904-X}}@BOOK{R:Chambers:1998,AUTHOR = {John M. Chambers},TITLE = {Programming with Data},PUBLISHER = {Springer},YEAR = 1998,ADDRESS = {New York},ISBN = {0-387-98503-4},ABSTRACT = {This ``\emph{Green Book}'' describes version 4 of S, amajor revision of S designed by John Chambers toimprove its usefulness at every stage of theprogramming process.}}@article{Rodriguez:Goldman:1995,author = {Germ\'an Rodriguez and Noreen Goldman},title = {An assessment of estimation procedures for multilevelmodels with binary responses},year = {1995},journal = {Journal of the Royal Statistical Society, Series A, General},volume = {158},pages = {73--89},keywords = {Logistic regression; Random effects model; Software;Variance component}}@Article{koen:ng:2003,author = {Roger Koenker and Pin Ng},title = {{SparseM}: A Sparse Matrix Package for {R}},journal = {J. of Statistical Software},year = 2003,volume = 8,number = 6}@Book{Eispack,author = {Smith, B. T. and Boyle, J. M. and Dongarra, J. J. and Garbow, B. S. and Ikebe, Y. and Klema, V. C. and Moler, C. B.},title = {Matrix Eigensystem Routines. EISPACK Guide},publisher = {Springer-Verlag},year = 1976,volume = 6,series = {Lecture Notes in Computer Science},address = {New York}}@Article{bate:debr:2004,author = {Douglas M. Bates and Saikat DebRoy},title = {Linear Mixed Models and Penalized Least Squares},journal = {J. of Multivariate Analysis},year = 2004,note = {to appear}}@Article{Rnews:Lockwood+Doran+Mccaffrey:2003,author = {J.R. Lockwood and Harold Doran and DanielF. McCaffrey},title = {Using R for Estimating Longitudinal StudentAchievement Models},journal = {R News},year = 2003,volume = 3,number = 3,pages = {17--23},month = {December},url = {http://CRAN.R-project.org/doc/Rnews/}}@Article{Paterson:1991,author = {L. Paterson},title = {Socio economic status and educational attainment:a multidimensional and multilevel study},journal = {Evaluation and Research in Education},year = 1991,volume = 5,pages = {97--121}}