ct.bib

@article{neyman,
  title={Sur les applications de la th{\'e}orie des probabilit{\'e}s aux experiences agricoles: Essai des principes},
  author={Neyman, Jersey},
  journal={Roczniki Nauk Rolniczych},
  volume={10},
  pages={1--51},
  year={1923}
}

@article{rubin,
  title={Bayesian inference for causal effects: The role of randomization},
  author={Rubin, Donald B},
  journal={The Annals of statistics},
  pages={34--58},
  year={1978},
  publisher={JSTOR}
}

@article{RCM,
  title={Causal inference using potential outcomes: Design, modeling, decisions},
  author={Rubin, Donald B},
  journal={Journal of the American Statistical Association},
  volume={100},
  number={469},
  pages={322--331},
  year={2005},
  publisher={Taylor \& Francis}
}

@article{sutva,
  title={Discussion of ``Randomization analysis of experimental data: The Fisher randomization test''},
  author={Rubin, Donald B},
  journal={Journal of the American Statistical Association},
  volume={75},
  number={371},
  pages={591--593},
  year={1980},
  publisher={JSTOR}
}

@article{holland86,
  title={Statistics and causal inference},
  author={Holland, Paul W},
  journal={Journal of the American statistical Association},
  volume={81},
  number={396},
  pages={945--960},
  year={1986},
  publisher={Taylor \& Francis}
}

@article{AIR,
  title={Identification of causal effects using instrumental variables},
  author={Angrist, Joshua D and Imbens, Guido W and Rubin, Donald B},
  journal={Journal of the American statistical Association},
  volume={91},
  number={434},
  pages={444--455},
  year={1996},
  publisher={Taylor \& Francis}
}

@article{IR,
  title={Bayesian inference for causal effects in randomized experiments with noncompliance},
  author={Imbens, Guido W and Rubin, Donald B},
  journal={The Annals of Statistics},
  pages={305--327},
  year={1997},
  publisher={JSTOR}
}

@article{bounding,
  title={Bounding, an accessible method for estimating principal causal effects, examined and explained},
  author={Miratrix, Luke and Furey, Jane and Feller, Avi and Grindal, Todd and Page, Lindsay C},
  journal={arXiv preprint arXiv:1701.03139},
  year={2017}
}

@article{frangakis,
  title={Principal stratification in causal inference},
  author={Frangakis, Constantine E and Rubin, Donald B},
  journal={Biometrics},
  volume={58},
  number={1},
  pages={21--29},
  year={2002},
  publisher={Wiley Online Library}
}

@article{nolen,
  title={Randomization-based inference within principal strata},
  author={Nolen, Tracy L and Hudgens, Michael G},
  journal={Journal of the American Statistical Association},
  volume={106},
  number={494},
  pages={581--593},
  year={2011},
  publisher={Taylor \& Francis}
}

@article{feller2016compared,
  title={Compared to what? Variation in the impacts of early childhood education by alternative care type},
  author={Feller, Avi and Grindal, Todd and Miratrix, Luke and Page, Lindsay C and others},
  journal={The Annals of Applied Statistics},
  volume={10},
  number={3},
  pages={1245--1285},
  year={2016},
  publisher={Institute of Mathematical Statistics}
}

@article{mattei2013exploiting,
  title={Exploiting multiple outcomes in Bayesian principal stratification analysis with application to the evaluation of a job training program},
  author={Mattei, Alessandra and Li, Fan and Mealli, Fabrizia and others},
  journal={The Annals of Applied Statistics},
  volume={7},
  number={4},
  pages={2336--2360},
  year={2013},
  publisher={Institute of Mathematical Statistics}
}

@article{li2015evaluating,
  title={Evaluating the causal effect of university grants on student dropout: evidence from a regression discontinuity design using principal stratification},
  author={Li, Fan and Mattei, Alessandra and Mealli, Fabrizia and others},
  journal={The Annals of Applied Statistics},
  volume={9},
  number={4},
  pages={1906--1931},
  year={2015},
  publisher={Institute of Mathematical Statistics}
}

@article{page2012principal,
  title={Principal stratification as a framework for investigating mediational processes in experimental settings},
  author={Page, Lindsay C},
  journal={Journal of Research on Educational Effectiveness},
  volume={5},
  number={3},
  pages={215--244},
  year={2012},
  publisher={Taylor \& Francis}
}

@article{feller2016principal,
  title={Principal stratification in the Twilight Zone: Weakly separated components in finite mixture models},
  author={Feller, Avi and Greif, Evan and Miratrix, Luke and Pillai, Natesh},
  journal={arXiv preprint arXiv:1602.06595},
  year={2016}
}

@article{griffin2008application,
  title={An application of principal stratification to control for institutionalization at follow-up in studies of substance abuse treatment programs},
  author={Griffin, Beth Ann and McCaffery, Daniel F and Morral, Andrew R},
  journal={The annals of applied statistics},
  volume={2},
  number={3},
  pages={1034},
  year={2008},
  publisher={NIH Public Access}
}

@book{gelman2014bayesian,
  title={Bayesian data analysis},
  author={Gelman, Andrew and Carlin, John B and Stern, Hal S and Dunson, David B and Vehtari, Aki and Rubin, Donald B},
  volume={2},
  year={2014},
  publisher={CRC press Boca Raton, FL}
}

@article{gilbertHudgens,
  title={Evaluating candidate principal surrogate endpoints},
  author={Gilbert, Peter B and Hudgens, Michael G},
  journal={Biometrics},
  volume={64},
  number={4},
  pages={1146--1154},
  year={2008},
  publisher={Wiley Online Library}
}

@article{pearl,
  title={Principal stratification--a goal or a tool?},
  author={Pearl, Judea},
  journal={The International Journal of Biostatistics},
  volume={7},
  number={1},
  pages={1--13},
  year={2011}
}

@article{vanderweele2011principal,
  title={Principal stratification--uses and limitations},
  author={VanderWeele, Tyler J},
  journal={The international journal of biostatistics},
  volume={7},
  number={1},
  pages={1--14},
  year={2011}
}

@article{pane2014effectiveness,
  title={Effectiveness of cognitive tutor algebra I at scale},
  author={Pane, John F and Griffin, Beth Ann and McCaffrey, Daniel F and Karam, Rita},
  journal={Educational Evaluation and Policy Analysis},
  volume={36},
  number={2},
  pages={127--144},
  year={2014},
  publisher={SAGE Publications Sage CA: Los Angeles, CA}
}

@article{pane2013effectiveness,
  title={Effectiveness of cognitive tutor algebra I at scale},
  author={Pane, John F and Griffin, Beth Ann and McCaffrey, Daniel F and Karam, Rita},
  journal={Educational Evaluation and Policy Analysis},
  volume={36},
  number={2},
  pages={127--144},
  year={2014},
  publisher={SAGE Publications Sage CA: Los Angeles, CA}
}

@book{raudenbush2002hierarchical,
  title={Hierarchical linear models: Applications and data analysis methods},
  author={Raudenbush, Stephen W and Bryk, Anthony S},
  volume={1},
  year={2002},
  publisher={Sage}
}

@article{anderson1995cognitive,
  title={Cognitive tutors: Lessons learned},
  author={Anderson, John R and Corbett, Albert T and Koedinger, Kenneth R and Pelletier, Ray},
  journal={The journal of the learning sciences},
  volume={4},
  number={2},
  pages={167--207},
  year={1995},
  publisher={Taylor \& Francis}
}

@inproceedings{beck2013wheel,
  title={Wheel-spinning: Students who fail to master a skill},
  author={Beck, Joseph E and Gong, Yue},
  booktitle={International Conference on Artificial Intelligence in Education},
  pages={431--440},
  year={2013},
  organization={Springer}
}

@book{embretson2013item,
  title={Item response theory for psychologists},
  author={Embretson, Susan E and Reise, Steven P},
  year={2013},
  publisher={Psychology Press}
}

@book{van2013handbook,
  title={Handbook of modern item response theory},
  author={van der Linden, Wim J and Hambleton, Ronald K},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@book{rasch,
  title={Probabilistic models for some intelligence and attainment tests.},
  author={Rasch, Georg},
  year={1993},
  publisher={ERIC}
}

@book{de2013explanatory,
  title={Explanatory item response models: A generalized linear and nonlinear approach},
  author={De Boeck, Paul and Wilson, Mark},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@Manual{jags,
    title = {rjags: Bayesian Graphical Models using MCMC},
    author = {Martyn Plummer},
    year = {2016},
    note = {R package version 4-6},
    url = {https://CRAN.R-project.org/package=rjags},
  }
@Manual{rcite,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2016},
    url = {https://www.R-project.org/},
  }

@Manual{r2jags,
    title = {R2jags: Using R to Run 'JAGS'},
    author = {Yu-Sung Su and Masanao Yajima},
    year = {2015},
    note = {R package version 0.5-7},
    url = {https://CRAN.R-project.org/package=R2jags},
  }

@article{gelmanRubin,
  title={Inference from iterative simulation using multiple sequences},
  author={Gelman, Andrew and Rubin, Donald B},
  journal={Statistical science},
  pages={457--472},
  year={1992},
  publisher={JSTOR}
}

@Manual{bayesplot,
    title = {bayesplot: Plotting for Bayesian Models},
    author = {Jonah Gabry},
    year = {2016},
    note = {R package version 1.1.0},
    url = {https://CRAN.R-project.org/package=bayesplot},
  }

@book{gelmanHill,
  title={Data analysis using regression and multilevel/hierarchical models},
  author={Gelman, Andrew and Hill, Jennifer},
  year={2006},
  publisher={Cambridge university press}
}

@book{SEM,
  title={Structural equation modeling},
  author={Ullman, Jodie B and Bentler, Peter M},
  year={2003},
  publisher={Wiley Online Library}
}

@Article{covBal,
  author = {Ben B. Hansen and Jake Bowers},
  journal = {Statistical Science},
  number = {2},
  pages = {219--236},
  title = {Covariate balance in simple, stratified and clustered  comparative studies},
  volume = {23},
  year = {2008},
}

@book{rubinLittle,
  title={Statistical analysis with missing data},
  author={Little, Roderick JA and Rubin, Donald B},
  year={2014},
  publisher={John Wiley \& Sons}
}

@Manual{ritools,
  title = {RItools: Randomization Inference Tools (Development Version)},
  author = {Jake Bowers and Mark Fredrickson and Ben Hansen},
  note = {R package version 0.2-0},
  url = {https://github.com/markmfredrickson/RItools},
  year={2017}

}

@article{kalton1968standardization,
  title={Standardization: A technique to control for extraneous variables},
  author={Kalton, Graham},
  journal={Applied Statistics},
  pages={118--136},
  year={1968},
  publisher={JSTOR}
}

@article{randomForest,
  title={Random forests},
  author={Breiman, Leo},
  journal={Machine learning},
  volume={45},
  number={1},
  pages={5--32},
  year={2001},
  publisher={Springer}
}

@Article{missForest,
  title = {MissForest - non-parametric missing value imputation for mixed-type data},
  author = {Daniel J. Stekhoven and Peter Buehlmann},
  journal = {Bioinformatics},
  volume = {28},
  number = {1},
  pages = {112--118},
  year = {2012},
  publisher = {Oxford Univ Press},
}

@article{jin2008principal,
  title={Principal stratification for causal inference with extended partial compliance},
  author={Jin, Hui and Rubin, Donald B},
  journal={Journal of the American Statistical Association},
  volume={103},
  number={481},
  pages={101--111},
  year={2008},
  publisher={Taylor \& Francis}
}

@article{schwartz2011bayesian,
  title={A Bayesian semiparametric approach to intermediate variables in causal inference},
  author={Schwartz, Scott L and Li, Fan and Mealli, Fabrizia},
  journal={Journal of the American Statistical Association},
  volume={106},
  number={496},
  pages={1331--1344},
  year={2011},
  publisher={Taylor \& Francis}
}

@article{gallop2009mediation,
  title={Mediation analysis with principal stratification},
  author={Gallop, Robert and Small, Dylan S and Lin, Julia Y and Elliott, Michael R and Joffe, Marshall and Ten Have, Thomas R},
  journal={Statistics in medicine},
  volume={28},
  number={7},
  pages={1108--1130},
  year={2009},
  publisher={Wiley Online Library}
}

@article{elliott2010bayesian,
  title={Bayesian inference for causal mediation effects using principal stratification with dichotomous mediators and outcomes},
  author={Elliott, Michael R and Raghunathan, Trivellore E and Li, Yun},
  journal={Biostatistics},
  volume={11},
  number={2},
  pages={353--372},
  year={2010},
  publisher={Oxford University Press}
}

@article{boxcox,
  title={An analysis of transformations},
  author={Box, George EP and Cox, David R},
  journal={Journal of the Royal Statistical Society. Series B (Methodological)},
  pages={211--252},
  year={1964},
  publisher={JSTOR}
}

@inproceedings{singh2011feedback,
  title={Feedback during web-based homework: the role of hints},
  author={Singh, Ravi and Saleem, Muhammad and Pradhan, Prabodha and Heffernan, Cristina and Heffernan, Neil T and Razzaq, Leena and Dailey, Matthew D and O’Connor, Cristine and Mulcahy, Courtney},
  booktitle={International Conference on Artificial Intelligence in Education},
  pages={328--336},
  year={2011},
  organization={Springer}
}

@inproceedings{kehrer2013does,
  title={Does Immediate Feedback While Doing Homework Improve Learning?},
  author={Kehrer, Paul and Kelly, Kim M and Heffernan, Neil T},
  booktitle={FLAIRS Conference},
  year={2013}
}

@article{kulik1990effectiveness,
  title={Effectiveness of mastery learning programs: A meta-analysis},
  author={Kulik, Chen-Lin C and Kulik, James A and Bangert-Drowns, Robert L},
  journal={Review of educational research},
  volume={60},
  number={2},
  pages={265--299},
  year={1990},
  publisher={Sage Publications Sage CA: Thousand Oaks, CA}
}

@article{bloom1968learning,
  title={Learning for Mastery. Instruction and Curriculum. Regional Education Laboratory for the Carolinas and Virginia, Topical Papers and Reprints, Number 1.},
  author={Bloom, Benjamin S},
  journal={Evaluation comment},
  volume={1},
  number={2},
  pages={n2},
  year={1968},
  publisher={ERIC}
}

@article{anderson1985intelligent,
  title={Intelligent tutoring systems.},
  author={Anderson, John R and Boyle, C Franklin and Reiser, Brian J},
  journal={Science(Washington)},
  volume={228},
  number={4698},
  pages={456--462},
  year={1985}
}