% Encoding: UTF-8
@Article{brms1,
  author   = {Paul-Christian B\"urkner},
  title    = {{brms}: An {R} Package for Bayesian Multilevel Models using Stan},
  journal  = {Journal of Statistical Software},
  year     = {2017},
  volume = {80},
  number = {1},
  pages = {1--28},
  encoding = {UTF-8},
  doi = {10.18637/jss.v080.i01}
}

@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}
}

@ARTICLE{lunn2000,
  author = {Lunn, David J and Thomas, Andrew and Best, Nicky and Spiegelhalter,
	David},
  title = {\pkg{WinBUGS} a Bayesian Modelling Framework: Concepts, Structure,
	and Extensibility},
  journal = {Statistics and {C}omputing},
  year = {2000},
  volume = {10},
  pages = {325--337},
  number = {4},
  owner = {Paul},
  publisher = {Springer},
  timestamp = {2015.06.18}
}

@MANUAL{spiegelhalter2003,
  title = {\pkg{WinBUGS} Version - 1.4 User Manual},
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	Dave},
  year = {2003},
  journal = {MRC Biostatistics Unit, Cambridge},
  owner = {Paul},
  publisher = {version},
  timestamp = {2015.06.18},
  url = {http://www.mrc-bsu.cam.ac.uk/bugs}
}

@MANUAL{spiegelhalter2007,
  title = {\pkg{OpenBUGS} User Manual, Version 3.0.2},
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  year = {2007},
  journal = {MRC Biostatistics Unit, Cambridge},
  owner = {Paul},
  timestamp = {2015.06.18}
}

@MANUAL{plummer2013,
  title = {\pkg{JAGS}: Just Another Gibs Sampler},
  author = {Plummer, Martyn},
  year = {2013},
  owner = {Paul},
  timestamp = {2015.01.20},
  url = {http://mcmc-jags.sourceforge.net/}
}

@ARTICLE{hadfield2010,
  author = {Hadfield, Jarrod D},
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	the \pkg{MCMCglmm} \proglang{R} Package},
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  year = {2010},
  volume = {33},
  pages = {1--22},
  number = {2},
  owner = {Paul},
  timestamp = {2015.06.18}
}

@Manual{stan2017,
  title     = {\proglang{Stan}: A \proglang{C++} Library for Probability and Sampling, Version 2.14.0},
  author    = {{Stan Development Team}},
  year      = {2017},
  owner     = {Paul},
  timestamp = {2015.06.18},
  url       = {http://mc-stan.org/},
}

@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     = {\proglang{Stan}: A Probabilistic Programming Language},
  journal   = {Journal of Statistical Software},
  year      = {2017},
  owner     = {Paul},
  timestamp = {2015.06.19},
}

@ARTICLE{metropolis1953,
  author = {Metropolis, Nicholas and Rosenbluth, Arianna W and Rosenbluth, Marshall
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  year = {1953},
  volume = {21},
  pages = {1087--1092},
  number = {6},
  owner = {Paul},
  publisher = {AIP Publishing},
  timestamp = {2015.06.19}
}

@ARTICLE{hastings1970,
  author = {Hastings, W Keith},
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  owner = {Paul},
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  timestamp = {2015.06.19}
}

@ARTICLE{geman1984,
  author = {Geman, Stuart and Geman, Donald},
  title = {Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration
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  pages = {721--741},
  number = {6},
  owner = {Paul},
  publisher = {IEEE},
  timestamp = {2015.06.19}
}

@ARTICLE{gelfand1990,
  author = {Gelfand, Alan E and Smith, Adrian FM},
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  timestamp = {2015.06.19}
}

@ARTICLE{damien1999,
  author = {Damien, Paul and Wakefield, Jon and Walker, Stephen},
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	by Using Auxiliary Variables},
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  year = {1999},
  pages = {331--344},
  owner = {Paul},
  publisher = {JSTOR},
  timestamp = {2015.06.19}
}

@ARTICLE{neal2003,
  author = {Neal, Radford M.},
  title = {Slice Sampling},
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  year = {2003},
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  owner = {Paul},
  publisher = {JSTOR},
  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{hoffman2014,
  author = {Hoffman, Matthew D and Gelman, Andrew},
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  year = {2014},
  volume = {15},
  pages = {1593--1623},
  number = {1},
  owner = {Paul},
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  timestamp = {2015.06.19}
}

@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},
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  owner = {Paul},
  timestamp = {2015.06.20}
}

@Manual{stanM2017,
  title     = {\proglang{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{rigby2005,
  author    = {Rigby, Robert A and Stasinopoulos, D Mikis},
  title     = {Generalized Additive Models for Location, Scale and Shape},
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  year      = {2005},
  volume    = {54},
  number    = {3},
  pages     = {507--554},
  publisher = {Wiley Online Library},
}

@Article{lindstrom1990,
  author    = {Lindstrom, Mary J and Bates, Douglas M},
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  journal   = {Biometrics},
  year      = {1990},
  pages     = {673--687},
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@Article{wood2004,
  author    = {Wood, Simon N},
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  year      = {2004},
  volume    = {99},
  number    = {467},
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}

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

@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{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},
}

@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/},
}

@InProceedings{williams1996,
  author    = {Williams, Christopher KI and Rasmussen, Carl Edward},
  title     = {Gaussian processes for regression},
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@Article{westfall2016,
  author    = {Westfall, Jacob and Yarkoni, Tal},
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  year      = {2016},
  volume    = {11},
  number    = {3},
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}

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

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

@MANUAL{Rcore2015,
  title = {\proglang{R}: A Language and Environment for Statistical Computing},
  author = {{R Core Team}},
  organization = {\proglang{R} Foundation for Statistical Computing},
  address = {Vienna, Austria},
  year = {2015},
  owner = {Paul},
  timestamp = {2015.01.20},
  url = {http://www.R-project.org/}
}

@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}},
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  year = {2015},
  volume = {67},
  pages = {1--48},
  number = {1},
  owner = {Paul},
  timestamp = {2015.11.13}
}

@ARTICLE{mcgilchrist1991,
  author = {McGilchrist, CA and Aisbett, CW},
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  owner = {Paul},
  publisher = {JSTOR},
  timestamp = {2015.08.15}
}

@ARTICLE{ezzet1991,
  author = {Ezzet, Farkad and Whitehead, John},
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  timestamp = {2015.09.03}
}

@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{fox2011,
  title     = {An R companion to Applied Regression, Second Edition},
  publisher = {Sage},
  year      = {2011},
  author    = {Fox, John and Weisberg, Sanford},
}

@ARTICLE{lewandowski2009,
  author = {Lewandowski, Daniel and Kurowicka, Dorota and Joe, Harry},
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	Onion Method},
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  owner = {Paul},
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  timestamp = {2015.07.23}
}

@ARTICLE{juarez2010,
  author = {Ju{\'a}rez, Miguel A and Steel, Mark FJ},
  title = {Model-Based Clustering of Non-Gaussian Panel Data Based on Skew-t
	Distributions},
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  year = {2010},
  volume = {28},
  pages = {52--66},
  number = {1},
  owner = {Paul},
  publisher = {Taylor \& Francis},
  timestamp = {2015.11.06}
}

@ARTICLE{creutz1988,
  author = {Creutz, Michael},
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  owner = {Paul},
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  timestamp = {2015.08.10}
}

@BOOK{griewank2008,
  title = {Evaluating Derivatives: Principles and Techniques of Algorithmic
	Differentiation},
  publisher = {Siam},
  year = {2008},
  author = {Griewank, Andreas and Walther, Andrea},
  owner = {Paul},
  timestamp = {2015.08.10}
}

@ARTICLE{watanabe2010,
  author = {Watanabe, Sumio},
  title = {Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable
	Information Criterion in Singular Learning Theory},
  journal = {The Journal of Machine Learning Research},
  year = {2010},
  volume = {11},
  pages = {3571--3594},
  owner = {Paul},
  publisher = {JMLR. org},
  timestamp = {2015.08.10}
}

@TECHREPORT{gelfand1992,
  author = {Gelfand, Alan E and Dey, Dipak K and Chang, Hong},
  title = {Model Determination Using Predictive Distributions with Implementation
	via Sampling-Based Methods},
  institution = {DTIC Document},
  year = {1992},
  owner = {Paul},
  timestamp = {2015.08.17}
}

@ARTICLE{ionides2008,
  author = {Ionides, Edward L},
  title = {Truncated Importance Sampling},
  journal = {Journal of Computational and Graphical Statistics},
  year = {2008},
  volume = {17},
  pages = {295--311},
  number = {2},
  owner = {Paul},
  publisher = {Taylor \& Francis},
  timestamp = {2015.08.17}
}

@ARTICLE{vehtari2015,
  author = {Aki Vehtari and Andrew Gelman and Jonah Gabry},
  title = {Efficient Implementation of Leave-One-Out Cross-Validation and WAIC
	for Evaluating Fitted Bayesian Models},
  journal = {Unpublished manuscript},
  year = {2015},
  pages = {1--22},
  owner = {Paul},
  timestamp = {2015.08.26},
  url = {http://www.stat.columbia.edu/~gelman/research/unpublished/loo_stan.pdf}
}

@ARTICLE{vanderlinde2005,
  author = {van der Linde, Angelika},
  title = {DIC in Variable Selection},
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  volume = {59},
  pages = {45--56},
  number = {1},
  owner = {Paul},
  publisher = {Wiley Online Library},
  timestamp = {2015.08.10}
}

@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{Xcode2015,
  title = {\pkg{Xcode} Software, Version~7},
  author = {{Apple Inc.}},
  address = {Cupertino, USA},
  year = {2015},
  owner = {Paul},
  timestamp = {2015.01.20},
  url = {https://developer.apple.com/xcode/}
}

@Article{masters1982,
  author    = {Masters, Geoff N},
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  volume    = {47},
  number    = {2},
  pages     = {149--174},
  owner     = {Paul},
  publisher = {Springer},
  timestamp = {2015.02.08},
}

@ARTICLE{tutz1990,
  author = {Tutz, Gerhard},
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@ARTICLE{yee2010,
  author = {Yee, Thomas W},
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  number = {10},
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  timestamp = {2015.09.04}
}

@ARTICLE{andrich1978b,
  author = {Andrich, David},
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@ARTICLE{andersen1977,
  author = {Andersen, Erling B},
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}

@ARTICLE{vanderark2001,
  author = {Van Der Ark, L Andries},
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}

@Book{tutz2000,
  title     = {Die {A}nalyse {K}ategorialer {D}aten: {A}nwendungsorientierte {E}inf{\"u}hrung in {L}ogit-{M}odellierung und {K}ategoriale {R}egression},
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  year      = {2000},
  author    = {Tutz, Gerhard},
  owner     = {Paul},
  timestamp = {2015.01.23},
}

@MANUAL{rstanarm2016,
  title = {rstanarm: Bayesian Applied Regression Modeling via \pkg{Stan}},
  author = {Jonah Gabry and Ben Goodrich},
  year = {2016},
  note = {R package version 2.9.0-3},
  owner = {Paul},
  timestamp = {2016.03.04},
  url = {https://CRAN.R-project.org/package=rstanarm}
}

@MANUAL{mcelreath2016,
  title = {rethinking: Statistical Rethinking Course and Book Package},
  author = {Richard McElreath},
  year = {2016},
  note = {R package version 1.58},
  owner = {Paul},
  timestamp = {2016.03.04},
  url = {https://github.com/rmcelreath/rethinking}
}

@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}
}

@BOOK{hastie1990,
  title = {Generalized Additive Models},
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}

@Article{wood2011,
  author    = {Wood, Simon N},
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  year      = {2011},
  volume    = {73},
  number    = {1},
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@BOOK{zuur2014,
  title = {A beginner's Guide to Generalized Additive Models with \proglang{R}},
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}


@ARTICLE{chung2013,
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  timestamp = {2016.02.22},
  url = {http://gllamm.org/}
}

@ARTICLE{duane1987,
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@ARTICLE{natarajan2000,
  author = {Natarajan, Ranjini and Kass, Robert E},
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@ARTICLE{kass2006,
  author = {Kass, Robert E and Natarajan, Ranjini},
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  year = {2006},
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  timestamp = {2015.07.23}
}

@ARTICLE{plummer2008,
  author = {Plummer, Martyn},
  title = {Penalized Loss Functions for Bayesian Model Comparison},
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  year = {2008},
  owner = {Paul},
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  timestamp = {2015.08.10}
}

@ARTICLE{spiegelhalter2002,
  author = {Spiegelhalter, David J and Best, Nicola G and Carlin, Bradley P and
	Van Der Linde, Angelika},
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  year = {2002},
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  timestamp = {2015.09.02}
}

@MANUAL{Rtools2015,
  title = {\pkg{Rtools} Software, Version~3.3},
  author = {{R Core Team}},
  organization = {\proglang{R} Foundation for Statistical Computing},
  address = {Vienna, Austria},
  year = {2015},
  owner = {Paul},
  timestamp = {2015.01.20},
  url = {https://cran.r-project.org/bin/windows/Rtools/}
}

@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},
}

@INPROCEEDINGS{carvalho2009,
  author = {Carvalho, Carlos M and Polson, Nicholas G and Scott, James G},
  title = {Handling Sparsity via the Horseshoe},
  booktitle = {International Conference on Artificial Intelligence and Statistics},
  year = {2009},
  pages = {73--80},
  owner = {Paul},
  timestamp = {2015.11.09}
}

@ARTICLE{carvalho2010,
  author = {Carvalho, Carlos M and Polson, Nicholas G and Scott, James G},
  title = {The Horseshoe Estimator for Sparse Signals},
  journal = {Biometrika},
  year = {2010},
  pages = {1--16},
  owner = {Paul},
  publisher = {Biometrika Trust},
  timestamp = {2015.11.09}
}

@ARTICLE{gelman2006,
  author = {Gelman, Andrew},
  title = {Prior Distributions for Variance Parameters in Hierarchical Models},
  journal = {Bayesian Analysis},
  year = {2006},
  volume = {1},
  pages = {515--534},
  number = {3},
  owner = {Paul},
  publisher = {International Society for Bayesian Analysis},
  timestamp = {2015.07.15}
}

@Article{gelman1992,
  author    = {Gelman, Andrew and Rubin, Donald B},
  title     = {Inference from Iterative Simulation Using Multiple Sequences},
  journal   = {Statistical Science},
  year      = {1992},
  pages     = {457--472},
  publisher = {JSTOR},
}

@MANUAL{gabry2015,
  title = {\pkg{shinystan}: Interactive Visual and Numerical Diagnostics and
	Posterior Analysis for Bayesian Models},
  author = {Jonah Gabry},
  year = {2015},
  note = {\proglang{R}~Package Version~2.0.0},
  owner = {Paul},
  timestamp = {2015.08.26},
  url = {http://CRAN.R-project.org/package=shinystan}
}

@ARTICLE{samejima1969,
  author = {Samejima, Fumiko},
  title = {Estimation of Latent Ability Using a Response Pattern of Graded Scores},
  journal = {Psychometrika Monograph Supplement},
  year = {1969},
  owner = {Paul},
  timestamp = {2015.01.27}
}

@MISC{christensen2015,
  author = {R. H. B. Christensen},
  title = {\pkg{ordinal} -- Regression Models for Ordinal Data},
  year = {2015},
  note = {\proglang{R} package version 2015.6-28. http://www.cran.r-project.org/package=ordinal/},
  owner = {Paul},
  timestamp = {2015.09.04}
}

@ARTICLE{andrich1978a,
  author = {Andrich, David},
  title = {A Rating Formulation for Ordered Response Categories},
  journal = {Psychometrika},
  year = {1978},
  volume = {43},
  pages = {561--573},
  number = {4},
  owner = {Paul},
  publisher = {Springer},
  timestamp = {2015.01.27}
}

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