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@Article{brms2,
    title = {Advanced {Bayesian} Multilevel Modeling with the {R} Package {brms}},
    author = {Paul-Christian Bürkner},
    journal = {The R Journal},
    year = {2018},
    volume = {10},
    number = {1},
    pages = {395--411},
    doi = {10.32614/RJ-2018-017},
    encoding = {UTF-8},
}

@Article{vehtari2016,
  author    = {Vehtari, Aki and Gelman, Andrew and Gabry, Jonah},
  title     = {Practical Bayesian Model Evaluation Using Leave-One-Out Cross-Validation and WAIC},
  journal   = {Statistics and Computing},
  year      = {2016},
  pages     = {1--20},
  publisher = {Springer},
}

@Book{fahrmeir2013,
  title     = {Regression: models, methods and applications},
  publisher = {Springer Science \& Business Media},
  year      = {2013},
  author    = {Fahrmeir, Ludwig and Kneib, Thomas and Lang, Stefan and Marx, Brian},
}

@Manual{gamlss.data,
  title  = {gamlss.data: GAMLSS Data},
  author = {Mikis Stasinopoulos and Bob Rigby},
  year   = {2016},
  note   = {R package version 5.0-0},
  url    = {https://CRAN.R-project.org/package=gamlss.data},
}

@Article{wood2013,
  author    = {Wood, Simon N and Scheipl, Fabian and Faraway, Julian J},
  title     = {Straightforward intermediate rank tensor product smoothing in mixed models},
  journal   = {Statistics and Computing},
  year      = {2013},
  pages     = {1--20},
  publisher = {Springer},
}

@Manual{mcelreath2017,
  title     = {rethinking: Statistical Rethinking Course and Book Package},
  author    = {Richard McElreath},
  year      = {2017},
  note      = {R package version 1.59},
  owner     = {Paul},
  timestamp = {2016.03.04},
  url       = {https://github.com/rmcelreath/rethinking},
}

@Article{wagenmakers2010,
  author    = {Wagenmakers, Eric-Jan and Lodewyckx, Tom and Kuriyal, Himanshu and Grasman, Raoul},
  title     = {Bayesian hypothesis testing for psychologists: A tutorial on the Savage--Dickey method},
  journal   = {Cognitive psychology},
  year      = {2010},
  volume    = {60},
  number    = {3},
  pages     = {158--189},
  publisher = {Elsevier},
}

@Manual{bridgesampling2017,
  title  = {bridgesampling: Bridge Sampling for Marginal Likelihoods and Bayes Factors},
  author = {Quentin F. Gronau and Henrik Singmann},
  year   = {2017},
  note   = {R package version 0.4-0},
  url    = {https://CRAN.R-project.org/package=bridgesampling},
}

@BOOK{brown2015,
  title = {Applied Mixed Models in Medicine},
  publisher = {John Wiley \& Sons},
  year = {2015},
  author = {Brown, Helen and Prescott, Robin},
  owner = {Paul},
  timestamp = {2015.06.19}
}

@Book{demidenko2013,
  title     = {Mixed Models: Theory and Applications with R},
  publisher = {John Wiley \& Sons},
  year      = {2013},
  author    = {Demidenko, Eugene},
  owner     = {Paul},
  timestamp = {2015.06.19},
}

@Book{gelmanMLM2006,
  title     = {Data Analysis Using Regression and Multilevel/Hierarchical Models},
  publisher = {Cambridge University Press},
  year      = {2006},
  author    = {Gelman, Andrew and Hill, Jennifer},
  owner     = {Paul},
  timestamp = {2016.02.21},
}

@Book{pinheiro2006,
  title     = {Mixed-Effects Models in S and S-PLUS},
  publisher = {Springer-Verlage Science \& Business Media},
  year      = {2006},
  author    = {Pinheiro, Jose and Bates, Douglas},
  owner     = {Paul},
  timestamp = {2015.06.19},
}

@Article{rigby2005,
  author    = {Rigby, Robert A and Stasinopoulos, D Mikis},
  title     = {Generalized Additive Models for Location, Scale and Shape},
  journal   = {Journal of the Royal Statistical Society C (Applied Statistics)},
  year      = {2005},
  volume    = {54},
  number    = {3},
  pages     = {507--554},
  publisher = {Wiley Online Library},
}

@Article{lindstrom1990,
  author    = {Lindstrom, Mary J and Bates, Douglas M},
  title     = {Nonlinear Mixed Effects Models for Repeated Measures Data},
  journal   = {Biometrics},
  year      = {1990},
  pages     = {673--687},
  publisher = {JSTOR},
}

@Article{wood2004,
  author    = {Wood, Simon N},
  title     = {Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models},
  journal   = {Journal of the American Statistical Association},
  year      = {2004},
  volume    = {99},
  number    = {467},
  pages     = {673--686},
  publisher = {Taylor \& Francis},
}

@Article{rasmussen2006,
  author    = {Rasmussen, Carl Edward and Williams, C. K. I.},
  title     = {Gaussian processes for machine learning},
  year      = {2006},
  publisher = {Massachusetts Institute of Technology},
}

@BOOK{hastie1990,
  title = {Generalized Additive Models},
  publisher = {CRC Press},
  year = {1990},
  author = {Hastie, Trevor J and Tibshirani, Robert J},
  volume = {43},
  owner = {Paul},
  timestamp = {2015.09.07}
}

@BOOK{gelman2014,
  title = {Bayesian Data Analysis},
  publisher = {Taylor \& Francis},
  year = {2014},
  author = {Gelman, Andrew and Carlin, John B and Stern, Hal S and Rubin, Donald
	B},
  volume = {2},
  owner = {Paul},
  timestamp = {2015.06.20}
}

@Manual{stanM2017,
  title     = {Stan Modeling Language: User's Guide and Reference Manual},
  author    = {{Stan Development Team}},
  year      = {2017},
  owner     = {Paul},
  timestamp = {2015.06.18},
  url       = {http://mc-stan.org/manual.html},
}

@Article{carpenter2017,
  author    = {Carpenter, B. and Gelman, A. and Hoffman, M. and Lee, D. and Goodrich, B. and Betancourt, M. and Brubaker, M. A. and Guo, J. and Li, P. and Ridell, A.},
  title     = {Stan: A Probabilistic Programming Language},
  journal   = {Journal of Statistical Software},
  year      = {2017},
  owner     = {Paul},
  timestamp = {2015.06.19},
}

@ARTICLE{duane1987,
  author = {Duane, Simon and Kennedy, Anthony D and Pendleton, Brian J and Roweth,
	Duncan},
  title = {Hybrid Monte Carlo},
  journal = {Physics Letters B},
  year = {1987},
  volume = {195},
  pages = {216--222},
  number = {2},
  owner = {Paul},
  publisher = {Elsevier},
  timestamp = {2015.06.19}
}

@InBook{neal2011,
  chapter   = {MCMC Using Hamiltonian Dynamics},
  title     = {Handbook of Markov Chain Monte Carlo},
  publisher = {CRC Press},
  year      = {2011},
  author    = {Neal, Radford M},
  volume    = {2},
  owner     = {Paul},
  timestamp = {2015.06.19},
}

@Article{betancourt2014,
  author  = {Betancourt, MJ and Byrne, Simon and Livingstone, Samuel and Girolami, Mark},
  title   = {The Geometric Foundations of Hamiltonian Monte Carlo},
  journal = {arXiv preprint arXiv:1410.5110},
  year    = {2014},
}

@ARTICLE{hoffman2014,
  author = {Hoffman, Matthew D and Gelman, Andrew},
  title = {The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian
	Monte Carlo},
  journal = {The Journal of Machine Learning Research},
  year = {2014},
  volume = {15},
  pages = {1593--1623},
  number = {1},
  owner = {Paul},
  publisher = {JMLR. org},
  timestamp = {2015.06.19}
}

@Article{betancourt2017,
  author  = {Michael Betancourt},
  title   = {A Conceptual Introduction to Hamiltonian Monte Carlo},
  journal = {arXiv preprint},
  year    = {2017},
  url     = {https://arxiv.org/pdf/1701.02434.pdf},
}

@ARTICLE{bates2015,
  author = {Douglas Bates and Martin M{\"a}chler and Ben Bolker and Steve Walker},
  title = {Fitting Linear Mixed-Effects Models Using \pkg{lme4}},
  journal = {Journal of Statistical Software},
  year = {2015},
  volume = {67},
  pages = {1--48},
  number = {1},
  owner = {Paul},
  timestamp = {2015.11.13}
}

@Article{hadfield2010,
  author    = {Hadfield, Jarrod D},
  title     = {MCMC Methods for Multi-Response Generalized Linear Mixed Models: the \pkg{MCMCglmm} {R} Package},
  journal   = {Journal of Statistical Software},
  year      = {2010},
  volume    = {33},
  number    = {2},
  pages     = {1--22},
  owner     = {Paul},
  timestamp = {2015.06.18},
}

@Manual{rstanarm2017,
  title  = {rstanarm: {Bayesian} applied regression modeling via {Stan}.},
  author = {{Stan Development Team}},
  year   = {2017},
  note   = {R package version 2.17.2},
  url    = {http://mc-stan.org/},
}

@Manual{afex2015,
  title     = {\pkg{afex}: Analysis of Factorial Experiments},
  author    = {Henrik Singmann and Ben Bolker and Jake Westfall},
  year      = {2015},
  note      = {R package version 0.15-2},
  owner     = {Paul},
  timestamp = {2016.02.13},
  url       = {https://CRAN.R-project.org/package=afex},
}

@Article{brms1,
  author   = {Paul-Christian B\"urkner},
  title    = {\pkg{brms}: An {R} Package for Bayesian Multilevel Models using Stan},
  journal  = {Journal of Statistical Software},
  year     = {2017},
  encoding = {UTF-8},
}

@Article{wood2011,
  author    = {Wood, Simon N},
  title     = {Fast Stable Restricted Maximum Likelihood and Marginal Likelihood Estimation of Semiparametric Generalized Linear Models},
  journal   = {Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  year      = {2011},
  volume    = {73},
  number    = {1},
  pages     = {3--36},
  publisher = {Wiley Online Library},
}

@InProceedings{williams1996,
  author    = {Williams, Christopher KI and Rasmussen, Carl Edward},
  title     = {Gaussian processes for regression},
  booktitle = {Advances in neural information processing systems},
  year      = {1996},
  pages     = {514--520},
}

@MANUAL{nlme2016,
  title = {\pkg{nlme}: Linear and Nonlinear Mixed Effects Models},
  author = {Jose Pinheiro and Douglas Bates and Saikat DebRoy and Deepayan Sarkar
	and {R Core Team}},
  year = {2016},
  note = {R package version 3.1-124},
  owner = {Paul},
  timestamp = {2016.03.06},
  url = {http://CRAN.R-project.org/package=nlme}
}

@Article{westfall2016,
  author    = {Westfall, Jacob and Yarkoni, Tal},
  title     = {Statistically Controlling for Confounding Constructs is Harder than You Think},
  journal   = {PloS one},
  year      = {2016},
  volume    = {11},
  number    = {3},
  pages     = {e0152719},
  publisher = {Public Library of Science},
}

@Manual{loo2016,
  title  = {\pkg{loo}: {E}fficient Leave-One-Out Cross-Validation and {WAIC} for {B}ayesian Models.},
  author = {Aki Vehtari and Andrew Gelman and Jonah Gabry},
  year   = {2016},
  note   = {R package version 1.0.0},
  url    = {https://github.com/stan-dev/loo},
}

@Manual{stan2017,
  title     = {Stan: A C++ Library for Probability and Sampling, Version 2.17.0},
  author    = {{Stan Development Team}},
  year      = {2017},
  owner     = {Paul},
  timestamp = {2015.06.18},
  url       = {http://mc-stan.org/},
}

@Comment{jabref-meta: databaseType:bibtex;}
