@Misc{ordinal-pkg,
    title = {ordinal---Regression Models for Ordinal Data },
    author = {R. H. B. Christensen},
    year = {2018},
    note = {R package version 2018.8-25},
    url = {http://www.cran.r-project.org/package=ordinal/},
}

@article{kuznetsova17,
   author = {Alexandra Kuznetsova and Per Brockhoff and Rune Christensen},
   title = {lmerTest Package: Tests in Linear Mixed Effects Models},
   journal = {Journal of Statistical Software, Articles},
   volume = {82},
   number = {13},
   year = {2017},
   keywords = {denominator degree of freedom, Satterthwaite's approximation, ANOVA, R, linear mixed effects models, lme4},
   abstract = {One of the frequent questions by users of the mixed model function lmer of the lme4 package has been: How can I get p values for the F and t tests for objects returned by lmer? The lmerTest package extends the 'lmerMod' class of the lme4 package, by overloading the anova and summary functions by providing p values for tests for fixed effects. We have implemented the Satterthwaite's method for approximating degrees of freedom for the t and F tests. We have also implemented the construction of Type I - III ANOVA tables. Furthermore, one may also obtain the summary as well as the anova table using the Kenward-Roger approximation for denominator degrees of freedom (based on the KRmodcomp function from the pbkrtest package). Some other convenient mixed model analysis tools such as a step method, that performs backward elimination of nonsignificant effects  -  both random and fixed, calculation of population means and multiple comparison tests together with plot facilities are provided by the package as well.},
   issn = {1548-7660},
   pages = {1--26},
   doi = {10.18637/jss.v082.i13},
   url = {https://www.jstatsoft.org/v082/i13}
}

@Article{cox95,
  author = 	 {Christopher Cox},
  title = 	 {Location-Scale Cumulative Odds Models for Ordinal
  Data: A Generalized Non-Linear Model Approach},
  journal = 	 {Statistics in Medicine},
  year = 	 1995,
  volume =	 14,
  doi = {10.1002/sim.4780141105},
  pages =	 {1191-1203}
}

@Book{elden04,
  author = 	 {Lars Eld\'en and Linde Wittmeyer-Koch and Hans Bruun
                  Nielsen},
  title = 	 {Introduction to Numerical Computation --- Analysis
                  and MATLAB Illustrations},
  publisher = 	 {Studentlitteratur},
  ISBN = {978-9144037271},
  year = 	 2004}

@Article{farewell77,
  author = 	 {Vernon T Farewell and R L Prentice},
  title = 	 {A Study of Distributional Shape in Life Testing},
  journal = 	 {{Technometrics}},
  year = 	 1977,
  volume = 	 19,
  doi = {10.2307/1268257},
  pages = 	 {69-77}}

@Article{genter85,
  author = 	 {Frederic C Genter and Vernon T Farewell},
  title = 	 {Goodness-of-Link Testing in Ordinal Regression
                  Models},
  journal = 	 {{The Canadian Journal of Statistics}},
  year = 	 1985,
  volume = 	 13,
  number = 	 1,
  doi = {10.2307/3315165},
  pages = 	 {37-44},
}

@Article{aranda-ordaz83,
  author = 	 {Francisco J Aranda-Ordaz},
  title = 	 {An Extension of the Proportional-Hazards Model for
                  Grouped Data},
  journal = 	 {Biometrics},
  year = 	 1983,
  volume = 	 39,
  doi = {10.2307/2530811},
  pages = 	 {109-117}}

@Article{peterson90,
  author = 	 {Bercedis Peterson and Frank E {Harrell Jr.}},
  title = 	 {Partial Proportional Odds Models for Ordinal
  Response Variables},
  journal = 	 {Applied Statistics},
  year = 	 1990,
  volume =	 39,
  doi = {10.2307/2347760},
  pages =	 {205-217}
}

@Article{peterson92,
  author = 	 {Bercedis Peterson and Frank E {Harrell Jr.}},
  title = 	 {Proportional Odds Model},
  journal = 	 {Biometrics},
  year = 	 1992,
  month =	 {March},
  note =	 {Letters to the Editor}
}


@Book{brazzale07,
  author =	 {A R Brazzale and A C Davison and N Reid},
  title = 	 {Applied Asymptotics---Case Studies in Small-Sample
  Statistics},
  ISBN = {9780521847032},
  publisher = 	 {Cambridge University Press},
  year = 	 2007}


@Book{pawitan01,
  author =	 {Yudi Pawitan},
  title = 	 {{In All Likelihood---Statistical Modelling and
  Inference Using Likelihood}},
  publisher = 	 {Oxford University Press},
  ISBN = {978-0198507659},
  year = 	 2001
}

@Article{efron78,
  author = 	 {Bradley Efron and David V Hinkley},
  title = 	 {{Assessing the Accuracy of the Maximum Likelihood
                  Estimator: Observed versus Expected Fisher Information}},
  journal = 	 {Biometrika},
  year = 	 1978,
  volume = 	 65,
  number = 	 3,
  doi = {10.1093/biomet/65.3.457},
  pages = 	 {457-487},
}

@article{burridge81,
 title = {A Note on Maximum Likelihood Estimation for Regression
              Models Using Grouped Data},
 author = {Burridge, J.},
 journal = {Journal of the Royal Statistical Society. Series B
              (Methodological)},
 volume = {43},
 number = {1},
 pages = {41-45},
 ISSN = {00359246},
 language = {English},
 year = {1981},
 publisher = {Blackwell Publishing for the Royal Statistical Society},
}

@article{pratt81,
 title = {Concavity of the Log Likelihood},
 author = {Pratt, John W.},
 journal = {Journal of the American Statistical Association},
 volume = {76},
 number = {373},
 pages = {103-106},
 ISSN = {01621459},
 language = {English},
 year = {1981},
 doi = {10.2307/2287052},
}

@Book{agresti10,
  author = 	 {Alan Agresti},
  title = 	 {Analysis of ordinal categorical data},
  publisher = 	 {Wiley},
  year = 	 2010,
  edition = 	 {2nd},
  doi = {10.1002/9780470594001}
}

@Book{agresti02,
  author =	 {Alan Agresti},
  title = 	 {Categorical Data Analysis},
  publisher = 	 {Wiley},
  year = 	 2002,
  edition =	 {3rd},
  ISBN = {978-0470463635},
}

@Article{mccullagh80,
  author = 	 {Peter McCullagh},
  title = 	 {Regression Models for Ordinal Data},
  journal = 	 {Journal of the Royal Statistical Society, Series B},
  year = 	 1980,
  volume =	 42,
  pages =	 {109-142}
}

@Article{randall89,
  author = 	 {J.H. Randall},
  title = 	 {The Analysis of Sensory Data by Generalised Linear Model},
  journal = 	 {Biometrical journal},
  year = 	 1989,
  volume =	 7,
  pages =	 {781-793},
  doi = {10.1002/bimj.4710310703},
}

@phdthesis{mythesis,
title = "Sensometrics: Thurstonian and Statistical Models",
author = "Christensen, Rune Haubo Bojesen",
year = "2012",
publisher = "Technical University of Denmark (DTU)",
school = "Technical University of Denmark (DTU)",
url = "http://orbit.dtu.dk/files/12270008/phd271_Rune_Haubo_net.pdf"
}

@Manual{SAStype,
    title = {The Four Types of Estimable Functions -- \proglang{SAS/STAT} \textregistered 9.22 User's Guide},
    author = {\proglang{SAS} Institute Inc.},
    organization = {\proglang{SAS} Institute Inc.},
    address = {Cary, NC},
    year = {2008},
    url = {https://support.sas.com/documentation/cdl/en/statugestimable/61763/PDF/default/statugestimable.pdf},
}

@Manual{SAS,
  title = {\proglang{SAS/STAT} \textregistered 9.22 User's Guide},
  author = {\proglang{SAS} Institute Inc.},
  organization = {\proglang{SAS} Institute Inc.},
  address = {Cary, NC},
  year = {2010},
  url = {https://support.sas.com/documentation/},
}



@Manual{ucminf,
    title = {ucminf: General-Purpose Unconstrained Non-Linear Optimization},
    author = {Hans Bruun Nielsen and Stig Bousgaard Mortensen},
    year = {2016},
    note = {R package version 1.1-4},
    url = {https://CRAN.R-project.org/package=ucminf},
}

@Book{fahrmeir01,
  author =	 {Ludwig Fahrmeir and Gerhard Tutz},
  title = 	 {Multivariate Statistical Modelling Based on
  Generalized Linear Models},
  publisher = 	 {Springer-Verlag New York, Inc.},
  year = 	 2001,
  series =	 {Springer series in statistics},
  edition =	 {2nd}
}

@Book{greene10,
  author = 	 {William H Greene and David A Hensher},
  title = 	 {Modeling Ordered Choices: A Primer},
  publisher = 	 {Cambridge University Press},
  year = 	 2010}

@Book{mccullagh89,
  author = {Peter McCullagh and John A. Nelder},
  title = {Generalized Linear Models},
  edition = {2nd},
  year = {1989},
  publisher = {Chapman \& Hall},
  address = {London},
  doi = {10.1007/978-1-4899-3242-6},
}

@Manual{Stata,
  title = {\proglang{Stata} 15 Base Reference Manual},
  author = {{StataCorp}},
	publisher = "Stata Press",
	address = "College Station, TX",
  year = {2017},
  url = {https://www.stata.com/},
}

@article{oglm,
	author = "Williams, R.",
	title = "Fitting heterogeneous choice models with oglm",
	journal = "Stata Journal",
	publisher = "Stata Press",
	address = "College Station, TX",
	volume = "10",
	number = "4",
	year = "2010",
	pages = "540-567(28)",
	url = "http://www.stata-journal.com/article.html?article=st0208"
}

@Article{gllamm,
author="Rabe-Hesketh, Sophia
and Skrondal, Anders
and Pickles, Andrew",
title="Generalized multilevel structural equation modeling",
journal="Psychometrika",
year="2004",
month="Jun",
day="01",
volume="69",
number="2",
pages="167--190",
issn="1860-0980",
doi="10.1007/BF02295939",
url="https://doi.org/10.1007/BF02295939"
}

@Manual{SPSS,
  title = {\proglang{IBM SPSS} Statistics for Windows, Version 25.0},
  author = {{IBM Corp.}},
  organization = {IBM Corp.},
  address = {Armonk, NY},
  year = {2017},
}

@Manual{R,
  title = {\proglang{R}: {A} Language and Environment for Statistical Computing},
  author = {{\proglang{R} Core Team}},
  organization = {\proglang{R} Foundation for Statistical Computing},
  address = {Vienna, Austria},
  year = {2018},
  url = {https://www.R-project.org/},
}

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

@Manual{rms,
    title = {rms: Regression Modeling Strategies},
    author = {Frank E {Harrell Jr}},
    year = {2018},
    note = {R package version 5.1-2},
    url = {https://CRAN.R-project.org/package=rms},
  }

@Book{MASS,
  author = {William N. Venables and Brian D. Ripley},
  title = {Modern Applied Statistics with \proglang{S}},
  edition = {4th},
  year = {2002},
  pages = {495},
  publisher = {Springer-Verlag},
  address = {New York},
  doi = {10.1007/978-0-387-21706-2},
}

@Article{VGAM,
  author = {Thomas W. Yee},
  title = {The \pkg{VGAM} Package for Categorical Data Analysis},
  journal = {Journal of Statistical Software},
  year = {2010},
  volume = {32},
  number = {10},
  pages = {1--34},
  doi = {10.18637/jss.v032.i10},
}

@Article{Zeileis+Kleiber+Jackman:2008,
  author = {Achim Zeileis and Christian Kleiber and Simon Jackman},
  title = {Regression Models for Count Data in \proglang{R}},
  journal = {Journal of Statistical Software},
  year = {2008},
  volume = {27},
  number = {8},
  pages = {1--25},
  doi = {10.18637/jss.v027.i08},
}