examples/references.bib

@article{ando2007bayesian,
  title         = {Bayesian predictive information criterion for the evaluation of hierarchical Bayesian and empirical Bayes models},
  author        = {Ando, Tomohiro},
  journal       = {Biometrika},
  volume        = {94},
  number        = {2},
  pages         = {443--458},
  year          = {2007},
  publisher     = {Oxford University Press},
  doi           = {10.1093/biomet/asm017}
}
@article{baio2010bayesian,
  title         = {Bayesian hierarchical model for the prediction of football results},
  author        = {Baio, Gianluca and Blangiardo, Marta},
  journal       = {Journal of Applied Statistics},
  volume        = {37},
  number        = {2},
  pages         = {253--264},
  year          = {2010},
  publisher     = {Taylor \& Francis}
}
@article{bauer2005probing,
  title         = {Probing interactions in fixed and multilevel regression: Inferential and graphical techniques},
  author        = {Bauer, Daniel J and Curran, Patrick J},
  journal       = {Multivariate behavioral research},
  volume        = {40},
  number        = {3},
  pages         = {373--400},
  year          = {2005},
  publisher     = {Taylor \& Francis}
}
@book{berry1996statistics,
  title         = {Statistics: a Bayesian perspective},
  author        = {Berry, Donald A},
  year          = {1996},
  publisher     = {Duxbury Press}
}
@book{breen1996regression,
  title         = {Regression models: Censored, sample selected, or truncated data},
  author        = {Breen, Richard and others},
  volume        = {111},
  year          = {1996},
  publisher     = {Sage}
}
@misc{carpenter2016hierarchical,
  title         = {Hierarchical partial pooling for repeated binary trials},
  author        = {Carpenter, Bob and Gabry, J and Goodrich, B},
  year          = {2016},
  publisher     = {Technical report. Retrieved from https://mc-stan. org/users/docum entat ion~\ldots{}}
}
@article{efron1975data,
  title         = {Data analysis using Stein's estimator and its generalizations},
  author        = {Efron, Bradley and Morris, Carl},
  journal       = {Journal of the American Statistical Association},
  volume        = {70},
  number        = {350},
  pages         = {311--319},
  year          = {1975},
  publisher     = {Taylor \& Francis}
}
@book{fox2010bayesian,
  title         = {Bayesian item response modeling: Theory and applications},
  author        = {Fox, Jean-Paul},
  year          = {2010},
  publisher     = {Springer}
}
@book{gelman2006data,
  title         = {Data analysis using regression and multilevel/hierarchical models},
  author        = {Gelman, Andrew and Hill, Jennifer},
  year          = {2006},
  publisher     = {Cambridge university press}
}
@article{gelman2006multilevel,
  title         = {Multilevel (hierarchical) modeling: what it can and cannot do},
  author        = {Gelman, Andrew},
  journal       = {Technometrics},
  volume        = {48},
  number        = {3},
  pages         = {432--435},
  year          = {2006},
  publisher     = {Taylor \& Francis}
}
@article{gelman2008scaling,
  title         = {Scaling regression inputs by dividing by two standard deviations},
  author        = {Gelman, Andrew},
  journal       = {Statistics in medicine},
  volume        = {27},
  number        = {15},
  pages         = {2865--2873},
  year          = {2008},
  publisher     = {Wiley Online Library},
  doi           = {10.1002/sim.3107}
}
@book{gelman2013bayesian,
  title         = {Bayesian Data Analysis},
  publisher     = {Chapman and Hall/CRC},
  author        = {Gelman, Andrew and Carlin, John B. and Stern, Hal S. and Dunson, David B. and Vehtari, Aki and Rubin, Donald B.},
  year          = {2013}
}
@book{gelman2020regression,
  title         = {Regression and other stories},
  author        = {Gelman, Andrew and Hill, Jennifer and Vehtari, Aki},
  year          = {2020},
  publisher     = {Cambridge University Press}
}
@article{goldberg2001eigentaste,
  author        = {Ken Goldberg and Theresa Roeder and Chris Perkins},
  title         = {Eigentaste: A Constant Time Collaborative Filtering Algorithm},
  journal       = {Information Retrieval},
  year          = {2001},
  volume        = {4},
  pages         = {133--151}
}
@article{goodman1999,
  doi           = {10.7326/0003-4819-130-12-199906150-00008},
  url           = {https://doi.org/10.7326/0003-4819-130-12-199906150-00008},
  year          = {1999},
  month         = jun,
  publisher     = {American College of Physicians},
  volume        = {130},
  number        = {12},
  pages         = {995},
  author        = {Steven N. Goodman},
  title         = {Toward Evidence-Based Medical Statistics. 1: The P Value Fallacy},
  journal       = {Annals of Internal Medicine}
}
@misc{harper2015movielens,
  title         = {The MovieLens Datasets: History and Context},
  author        = {Harper, F. Maxwell and Konstan, Joseph A.},
  journal       = {ACM Transactions on Interactive Intelligent Systems},
  volumne       = {5},
  number        = {4},
  pages         = {1--19},
  year          = {2016},
  month         = {January},
  url           = {https://doi.org/10.1145/2827872}
}
@book{hayes2017introduction,
  title         = {Introduction to mediation, moderation, and conditional process analysis: A regression-based approach},
  author        = {Hayes, Andrew F},
  year          = {2017},
  publisher     = {Guilford publications}
}
@misc{hogg2010data,
  title         = {Data analysis recipes: Fitting a model to data},
  author        = {David W. Hogg and Jo Bovy and Dustin Lang},
  year          = {2010},
  eprint        = {1008.4686},
  archiveprefix = {arXiv},
  primaryclass  = {astro-ph.IM}
}
@article{iacobucci2016mean,
  title         = {Mean centering helps alleviate ``micro'' but not ``macro'' multicollinearity},
  author        = {Iacobucci, Dawn and Schneider, Matthew J and Popovich, Deidre L and Bakamitsos, Georgios A},
  journal       = {Behavior research methods},
  volume        = {48},
  number        = {4},
  pages         = {1308--1317},
  year          = {2016},
  publisher     = {Springer}
}
@article{iacobucci2017mean,
  title         = {Mean centering, multicollinearity, and moderators in multiple regression: The reconciliation redux},
  author        = {Iacobucci, Dawn and Schneider, Matthew J and Popovich, Deidre L and Bakamitsos, Georgios A},
  journal       = {Behavior research methods},
  volume        = {49},
  number        = {1},
  pages         = {403--404},
  year          = {2017},
  publisher     = {Springer}
}
@book{ivezić2014astroMLtext,
  author        = {\v{Z}eljko Ivezi\'{c} and Andrew J. Connolly and Jacob T. VanderPlas and Alexander Gray},
  doi           = {10.1515/9781400848911},
  title         = {Statistics, Data Mining, and Machine Learning in Astronomy: A Practical Python Guide for the Analysis of Survey Data},
  year          = {2014},
  publisher     = {Princeton University Press},
  isbn          = {9781400848911}
}
@book{james2021statisticallearning,
  title         = {An Introduction to Statistical Learning},
  author        = {James, Gareth ad Witten, Daniela and Hastie, Trevor and Tibshirani, Robert},
  year          = {2021},
  publisher     = {Springer},
  doi           = {https://doi.org/10.1007/978-1-0716-1418-1},
  issn          = {1431-875X},
  isbn          = {978-1-0716-1420-4}
}
@article{johnson1999,
  doi           = {10.2307/3802789},
  url           = {https://doi.org/10.2307/3802789},
  year          = {1999},
  month         = jul,
  publisher     = {{JSTOR}},
  volume        = {63},
  number        = {3},
  pages         = {763},
  author        = {Douglas H. Johnson},
  title         = {The Insignificance of Statistical Significance Testing},
  journal       = {The Journal of Wildlife Management}
}
@misc{kingma2014autoencoding,
  title         = {Auto-Encoding Variational Bayes},
  author        = {Diederik P Kingma and Max Welling},
  year          = {2014},
  eprint        = {1312.6114},
  archiveprefix = {arXiv},
  primaryclass  = {stat.ML}
}
@article{koren2009matrixfactorization,
  author        = {Koren, Yehuda and Bell, Robert and Volinsky, Chris},
  journal       = {Computer},
  title         = {Matrix Factorization Techniques for Recommender Systems},
  year          = {2009},
  volume        = {42},
  number        = {8},
  pages         = {30--37},
  doi           = {10.1109/MC.2009.263}
}
@article{kruschke2011bayesian,
  title         = {Bayesian assessment of null values via parameter estimation and model comparison},
  author        = {Kruschke, John K},
  journal       = {Perspectives on Psychological Science},
  volume        = {6},
  number        = {3},
  pages         = {299--312},
  year          = {2011},
  publisher     = {Sage Publications Sage CA: Los Angeles, CA}
}
@article{kruschke2013,
  doi           = {10.1037/a0029146},
  url           = {https://doi.org/10.1037/a0029146},
  year          = {2013},
  publisher     = {American Psychological Association ({APA})},
  volume        = {142},
  number        = {2},
  pages         = {573--603},
  author        = {John K. Kruschke},
  title         = {Bayesian estimation supersedes the t test.},
  journal       = {Journal of Experimental Psychology: General}
}
@book{kruschke2014doing,
  title         = {Doing Bayesian data analysis: A tutorial with R, JAGS, and Stan},
  author        = {Kruschke, John},
  year          = {2014},
  publisher     = {Academic Press}
}
@misc{kucukelbir2015automatic,
  title         = {Automatic Variational Inference in Stan},
  author        = {Alp Kucukelbir and Rajesh Ranganath and Andrew Gelman and David M. Blei},
  year          = {2015},
  eprint        = {1506.03431},
  archiveprefix = {arXiv},
  primaryclass  = {stat.ML}
}
@article{lewandowski2009generating,
  title         = {Generating random correlation matrices based on vines and extended onion method},
  author        = {Lewandowski, Daniel and Kurowicka, Dorota and Joe, Harry},
  journal       = {Journal of multivariate analysis},
  volume        = {100},
  number        = {9},
  pages         = {1989--2001},
  year          = {2009},
  publisher     = {Elsevier}
}
@book{martin2018bayesian,
  title         = {Bayesian analysis with Python: introduction to statistical modeling and probabilistic programming using PyMC3 and ArviZ},
  author        = {Martin, Osvaldo},
  year          = {2018},
  publisher     = {Packt Publishing Ltd}
}
@book{martin2021bayesian,
  title         = {Bayesian Modeling and Computation in Python},
  author        = {Martin, Osvaldo A and Kumar, Ravin and Lao, Junpeng},
  year          = {2021},
  publisher     = {Chapman and Hall/CRC},
  doi           = {10.1201/9781003019169}
}
@article{mcclelland2017multicollinearity,
  title         = {Multicollinearity is a red herring in the search for moderator variables: A guide to interpreting moderated multiple regression models and a critique of Iacobucci, Schneider, Popovich, and Bakamitsos (2016)},
  author        = {McClelland, Gary H and Irwin, Julie R and Disatnik, David and Sivan, Liron},
  journal       = {Behavior research methods},
  volume        = {49},
  number        = {1},
  pages         = {394--402},
  year          = {2017},
  publisher     = {Springer}
}
@book{mcelreath2018statistical,
  title         = {Statistical rethinking: A Bayesian course with examples in R and Stan},
  author        = {McElreath, Richard},
  year          = {2018},
  publisher     = {Chapman and Hall/CRC}
}
@inproceedings{mnih2008advances,
  title         = {Probabilistic Matrix Factorization},
  author        = {Mnih, Andriy and Salakhutdinov, Russ R},
  booktitle     = {Advances in Neural Information Processing Systems},
  editor        = {J. Platt and D. Koller and Y. Singer and S. Roweis},
  publisher     = {Curran Associates, Inc.},
  url           = {https://proceedings.neurips.cc/paper/2007/file/d7322ed717dedf1eb4e6e52a37ea7bcd-Paper.pdf},
  volume        = {20},
  year          = {2008}
}
@misc{mnih2013playing,
  title         = {Playing Atari with Deep Reinforcement Learning},
  author        = {Volodymyr Mnih and Koray Kavukcuoglu and David Silver and Alex Graves and Ioannis Antonoglou and Daan Wierstra and Martin Riedmiller},
  year          = {2013},
  eprint        = {1312.5602},
  archiveprefix = {arXiv},
  primaryclass  = {cs.LG}
}
@book{molnar2019,
  title         = {Interpretable Machine Learning},
  author        = {Christoph Molnar},
  year          = {2019},
  subtitle      = {A Guide for Making Black Box Models Explainable},
  url           = {https://christophm.github.io/interpretable-ml-book/},
  publisher     = {Christoph Molnar}
}
@article{nowlan1992simplifying,
  title         = {Simplifying Neural Networks By Soft Weight-Sharing},
  author        = {Nowlan, Steven J and Hinton, Geoffrey E},
  journal       = {Neural computation},
  volume        = {4},
  number        = {4},
  pages         = {473--493},
  year          = {1992},
  publisher     = {MIT Press}
}
@article{nuijten2015default,
  title         = {A default Bayesian hypothesis test for mediation},
  author        = {Nuijten, Mich{\`e}le B and Wetzels, Ruud and Matzke, Dora and Dolan, Conor V and Wagenmakers, Eric-Jan},
  journal       = {Behavior research methods},
  volume        = {47},
  number        = {1},
  pages         = {85--97},
  year          = {2015},
  publisher     = {Springer}
}
@book{rasmussen2003gaussian,
  title         = {Gaussian Processes for Machine Learning},
  author        = {Rasmussen, Carl Edward and Williams, Christopher K. I.},
  year          = {2006},
  isbn          = {026218253X},
  publisher     = {The MIT Press},
  url           = {https://gaussianprocess.org/gpml/}
}
@book{roback2021beyond,
  title         = {Beyond multiple linear regression: Applied generalized linear models and multilevel models in R},
  author        = {Roback, P., and Legler, J.},
  year          = {2021},
  publisher     = {CRC Press},
  url           = {https://bookdown.org/roback/bookdown-BeyondMLR/}
}
@inproceedings{salakhutdinov2008bayesian,
  title         = {Bayesian Probabilistic Matrix Factorization Using Markov Chain Monte Carlo},
  author        = {Salakhutdinov, Ruslan and Mnih, Andriy},
  booktitle     = {Proceedings of the 25th international conference on Machine learning},
  pages         = {880--887},
  year          = {2008},
  volume        = {25}
}
@article{silver2016masteringgo,
  title         = {Mastering the game of Go with deep neural networks and tree search},
  author        = {D. Silver, A. Huang, C. Maddison et al.},
  journal       = {Nature},
  volume        = {529},
  pages         = {484--489},
  year          = {2016},
  url           = {https://doi.org/10.1038/nature16961}
}
@article{spiller2013spotlights,
  title         = {Spotlights, floodlights, and the magic number zero: Simple effects tests in moderated regression},
  author        = {Spiller, Stephen A and Fitzsimons, Gavan J and Lynch Jr, John G and McClelland, Gary H},
  journal       = {Journal of marketing research},
  volume        = {50},
  number        = {2},
  pages         = {277--288},
  year          = {2013},
  publisher     = {SAGE Publications Sage CA: Los Angeles, CA}
}
@misc{szegedy2014going,
  title         = {Going Deeper with Convolutions},
  author        = {Christian Szegedy and Wei Liu and Yangqing Jia and Pierre Sermanet and Scott Reed and Dragomir Anguelov and Dumitru Erhan and Vincent Vanhoucke and Andrew Rabinovich},
  year          = {2014},
  eprint        = {1409.4842},
  archiveprefix = {arXiv},
  primaryclass  = {cs.CV}
}
@online{vandenbergSPSS,
  author        = {van den Berg, R. G},
  title         = {SPSS Moderation Regression Tutorial},
  url           = {https://www.spss-tutorials.com/spss-regression-with-moderation-interaction-effect/},
  urldate       = {2022-03-20}
}
@inproceedings{vanderplas2012astroML,
  author        = {{Vanderplas}, J.T. and {Connolly}, A.J. and {Ivezi{\'c}}, {\v Z}. and {Gray}, A.},
  booktitle     = {Conference on Intelligent Data Understanding (CIDU)},
  title         = {Introduction to astroML: Machine learning for astrophysics},
  month         = {oct.},
  pages         = {47--54},
  doi           = {10.1109/CIDU.2012.6382200},
  year          = {2012}
}
@book{wilkinson2005grammar,
  title         = {The Grammar of Graphics},
  author        = {Wilkinson, Leland},
  year          = {2005},
  publisher     = {Springer},
  doi           = {https://doi.org/10.1007/0-387-28695-0},
  issn          = {1431-8784},
  isbn          = {978-0-387-24544-7}
}
@article{yuan2009bayesian,
  title         = {Bayesian mediation analysis.},
  author        = {Yuan, Ying and MacKinnon, David P},
  journal       = {Psychological methods},
  volume        = {14},
  number        = {4},
  pages         = {301},
  year          = {2009},
  publisher     = {American Psychological Association}
}
@article{zhang2017moderation,
  title         = {Moderation analysis with missing data in the predictors.},
  author        = {Zhang, Qian and Wang, Lijuan},
  journal       = {Psychological methods},
  volume        = {22},
  number        = {4},
  pages         = {649},
  year          = {2017},
  publisher     = {American Psychological Association}
}