Toward a principled Bayesian workflow in cognitive science.
Open accessAbstract
Experiments in research on memory, language, and in other areas of cognitive science are increasingly being analyzed using Bayesian methods. This has been facilitated by the development of probabilistic programming languages such as Stan, and easily accessible front-end packages such as brms. The utility of Bayesian methods, however, ultimately depends on the relevance of the Bayesian model, in particular whether or not it accurately captures the structure of the data and the data analyst's domain expertise. Even with powerful software, the analyst is responsible for verifying the utility of their model. To demonstrate this point, we introduce a principled Bayesian workflow (Betancourt, 2018) to cognitive science. Using a concrete working example, we describe basic questions one should ask about the model: prior predictive checks, computational faithfulness, model sensitivity, and posterior predictive checks. The running example for demonstrating the workflow is data on reading times with a linguistic manipulation of object versus subject relative clause sentences. This principled Bayesian workflow also demonstrates how to use domain knowledge to inform prior distributions. It provides guidelines and checks for valid data analysis, avoiding overfitting complex models to noise, and capturing relevant data structure in a probabilistic model. Given the increasing use of Bayesian methods, we aim to discuss how these methods can be properly employed to obtain robust answers to scientific questions. All data and code accompanying this article are available from https://osf.io/b2vx9/. (PsycInfo Database Record (c) 2021 APA, all rights reserved).
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Appendix S3 presents prior predictive checks.
“Appendix S3 in the online Supporting Information presents the prior predictive checks (Schad, Betancourt, & Vasishth, 2021).”
From Effects of Availability, Contingency, and Formulaicity on the Accuracy of English Grammatical Morphemes in Second Language Writing (2022) · cites this paper as Schad, Betancourt, & Vasishth, 2021
The paper’s “Prior predictive checks” section describes and performs prior predictive checks. It does not establish what Appendix S3 of the citing paper’s online Supporting Information contains, so it supports the methodological reference but not the appendix-specific statement. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThe study followed a Bayesian workflow for both computational models and conventional analyses.
“We followed a Bayesian workflow for both computational models and conventional analyses [19, 20].”
From Predicting emotional valence in autism: a preregistered study in the Bayesian Brain framework (2026) · cites this paper as [20]
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Cites
R: A Language and Environment for Statistical Computing
R Core Team (2000) · doi:10.32614/r.manuals · Cited by 355,706 · see citing works
Fitting Linear Mixed-Effects Models Using <b>lme4</b>
Bates, D., Mächler, M., Bolker, B., & Walker, S. (2015) · Journal of Statistical Software · doi:10.18637/jss.v067.i01 · Cited by 86,835 · see citing works
Random effects structure for confirmatory hypothesis testing: Keep it maximal
Barr, D. J., Levy, R., Scheepers, C., & Tily, H. J. (2013) · Journal of Memory and Language · doi:10.1016/j.jml.2012.11.001 · Cited by 10,328 · see citing works
<b>brms</b> : An <i>R</i> Package for Bayesian Multilevel Models Using <i>Stan</i>
Bürkner, P.-C. (2017) · Journal of Statistical Software · doi:10.18637/jss.v080.i01 · Cited by 9,476 · cited 7× · see citing works
“p in the literature. It assumes that readers have had some previous exposure to and experience with basic concepts of Bayesian modeling, such as fitting simple Bayesian models (e.g., in brms or Stan) (Bürkner, 2017a; Kruschke, 2014; Vasishth et al., 2018b) , and are interested in how to put together their knowledge abo…”
BackgroundMethodInfluentialMixed-effects modeling with crossed random effects for subjects and items
Baayen, R. H., Davidson, D. J., & Bates, D. M. (2008) · Journal of Memory and Language · doi:10.1016/j.jml.2007.12.005 · Cited by 8,540 · see citing works
<i>Stan</i> : A Probabilistic Programming Language
Carpenter, B., Gelman, A., Hoffman, M. D., Lee, D., Goodrich, B., Betancourt, M., Brubaker, M., Guo, J., Li, P., & Riddell, A. (2017) · Journal of Statistical Software · doi:10.18637/jss.v076.i01 · Cited by 7,754 · cited 16× · see citing works
“Much progress has been made in the development of probabilistic programming languages such as Stan (Carpenter et al., 2017), WinBUGS (Lunn, Thomas, Best, & Spiegelhalter, 2000), JASP (JASP Team, 2019), and JAGS (Plummer, 2012).”
BackgroundMethodInfluentialSelf-citationInformation theory, inference, and learning algorithms
(2004) · Choice Reviews Online · doi:10.5860/choice.41-5949 · Cited by 6,535 · see citing works
(2015) · doi:10.1007/s11222-016-9696-4 · Cited by 5,611 · see citing works
WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility
Lunn, D. J., Thomas, A., Best, N., & Spiegelhalter, D. J. (2000) · Statistics and Computing · doi:10.1023/a:1008929526011 · Cited by 5,372 · see citing works
Kmenta, J. (1997) · University of Michigan Press eBooks · doi:10.3998/mpub.15701 · Cited by 3,244 · see citing works
Advanced Bayesian Multilevel Modeling with the R Package brms
Bürkner, P.-C. (2018) · The R Journal · doi:10.32614/rj-2018-017 · Cited by 3,015 · see citing works
Vehtari, A., Gelman, A., Simpson, D., Carpenter, B., & Bürkner, P.-C. (2021) · Bayesian Analysis · doi:10.1214/20-ba1221 · Cited by 1,810 · see citing works
(2014) · Thammasat University Digital Collections · Cited by 1,732 · see citing works
Robustness in the Strategy of Scientific Model Building.
Box, G. (1979) · Elsevier eBooks · doi:10.1016/b978-0-12-438150-6.50018-2 · Cited by 1,435 · see citing works
(2013) · Cited by 1,351 · see citing works
Generating random correlation matrices based on vines and extended onion method
Lewandowski, D., Kurowicka, D., & Joe, H. (2009) · Journal of Multivariate Analysis · doi:10.1016/j.jmva.2009.04.008 · Cited by 1,160 · see citing works
Visualization in Bayesian Workflow
Gabry, J., Simpson, D., Vehtari, A., Betancourt, M., & Gelman, A. (2019) · Journal of the Royal Statistical Society Series A: Statistics in Society · doi:10.1111/rssa.12378 · Cited by 1,122 · see citing works
Self-citationLindley, D. V. (1957) · Biometrika · doi:10.1093/biomet/44.1-2.187 · Cited by 946 · see citing works
Probability and the Weighing of Evidence.
M., P. A., & Good, I. J. (1950) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2981046 · Cited by 753 · see citing works
Bayes factor design analysis: Planning for compelling evidence
Schönbrodt, F. D., & Wagenmakers, E. (2017) · Psychonomic Bulletin & Review · doi:10.3758/s13423-017-1230-y · Cited by 732 · see citing works
The Deviance Information Criterion: 12 Years on
Spiegelhalter, D. J., Best, N. G., Carlin, B. P., & van der Linde, A. (2014) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/rssb.12062 · Cited by 631 · see citing works
The Prior Can Often Only Be Understood in the Context of the Likelihood
Gelman, A., Simpson, D., & Betancourt, M. (2017) · Entropy · doi:10.7916/d8v99mjx · Cited by 419 · see citing works
Self-citationLy, A., Verhagen, J., & Wagenmakers, E. (2015) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2015.06.004 · Cited by 383 · see citing works
Link, W. A., & Eaton, M. J. (2012) · Methods in Ecology and Evolution · doi:10.1111/j.2041-210x.2011.00131.x · Cited by 351 · see citing works
A Survey of Model Evaluation Approaches With a Tutorial on Hierarchical Bayesian Methods
Shiffrin, R. M., Lee, M. D., Kim, W., & Wagenmakers, E. (2008) · Cognitive Science · doi:10.1080/03640210802414826 · Cited by 346 · see citing works
Bayesian Benefits for the Pragmatic Researcher
Wagenmakers, E.-J., Morey, R. D., & Lee, M. D. (2016) · Current Directions in Psychological Science · doi:10.1177/0963721416643289 · Cited by 334 · see citing works
Validation of Software for Bayesian Models Using Posterior Quantiles
Cook, S. R., Gelman, A., & Rubin, D. B. (2006) · Journal of Computational and Graphical Statistics · doi:10.1198/106186006x136976 · Cited by 321 · see citing works
How cognitive modeling can benefit from hierarchical Bayesian models
Lee, M. D. (2010) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2010.08.013 · Cited by 307 · see citing works
The philosophy of Bayes factors and the quantification of statistical evidence
Morey, R. D., Romeijn, J., & Rouder, J. N. (2016) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2015.11.001 · Cited by 307 · see citing works
Gronau, Q. F., Sarafoglou, A., Matzke, D., Ly, A., Boehm, U., Marsman, M., Leslie, D. S., Forster, J. J., Wagenmakers, E.-J., & Steingroever, H. (2017) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2017.09.005 · Cited by 284 · see citing works
Bayesian data analysis in the phonetic sciences: A tutorial introduction
Vasishth, S., Nicenboim, B., Beckman, M. E., Li, F., & Kong, E. J. (2018) · Journal of Phonetics · doi:10.1016/j.wocn.2018.07.008 · Cited by 246 · see citing works
Self-citationHierarchical Bayesian parameter estimation for cumulative prospect theory
Nilsson, H., Rieskamp, J., & Wagenmakers, E. (2010) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2010.08.006 · Cited by 229 · see citing works
Validating Bayesian Inference Algorithms with Simulation-Based CalibrationPreprint
Talts, S., Betancourt, M., Simpson, D., Vehtari, A., & Gelman, A. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1804.06788 · Cited by 218 · see citing works
Self-citationIntroduction to Bayesian Inference for Psychology
Etz, A. J., & Vandekerckhove, J. (2017) · Psychonomic Bulletin & Review · doi:10.3758/s13423-017-1262-3 · Cited by 197 · see citing works
The statistical significance filter leads to overoptimistic expectations of replicability
Vasishth, S., Mertzen, D., Jäger, L. A., & Gelman, A. (2018) · Journal of Memory and Language · doi:10.1016/j.jml.2018.07.004 · Cited by 194 · see citing works
Self-citationProcessing Chinese relative clauses in context
Gibson, E., & Wu, H.-H. I. (2011) · Language and Cognitive Processes · doi:10.1080/01690965.2010.536656 · Cited by 183 · see citing works
Processing Chinese Relative Clauses: Evidence for the Subject-Relative Advantage
Vasishth, S., Chen, Z., Qiang, L., & Gueilan, G. (2013) · PLoS ONE · doi:10.1371/journal.pone.0077006 · Cited by 145 · see citing works
Self-citationRobust Modeling in Cognitive Science
Lee, M. D., Criss, A. H., Devezer, B., Donkin, C., Etz, A. J., Leite, F. P., Matzke, D., Rouder, J. N., Trueblood, J. S., White, C. N., et al. (2019) · Computational Brain & Behavior · doi:10.1007/s42113-019-00029-y · Cited by 139 · see citing works
How to become a Bayesian in eight easy steps: An annotated reading list
Etz, A. J., Gronau, Q. F., Dablander, F., Edelsbrunner, P. A., & Baribault, B. (2017) · Psychonomic Bulletin & Review · doi:10.3758/s13423-017-1317-5 · Cited by 112 · see citing works
Bayesian inference for psychology, part IV: parameter estimation and Bayes factors
Rouder, J. N., Haaf, J. M., & Vandekerckhove, J. (2018) · Psychonomic Bulletin & Review · doi:10.3758/s13423-017-1420-7 · Cited by 102 · see citing works
Nicenboim, B., Vasishth, S., & Rösler, F. (2020) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2020.107427 · Cited by 101 · see citing works
Self-citationMulder, J., & Wagenmakers, E. (2016) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2016.01.002 · Cited by 99 · see citing works
Developing constraint in bayesian mixed models.
Haaf, J. M., & Rouder, J. N. (2017) · Psychological Methods · doi:10.1037/met0000156 · Cited by 96 · see citing works
Nicenboim, B., & Vasishth, S. (2017) · Journal of Memory and Language · doi:10.1016/j.jml.2017.08.004 · Cited by 87 · see citing works
Self-citationHow to capitalize on a priori contrasts in linear (mixed) models: A tutorial
Schad, D. J., Vasishth, S., Hohenstein, S., & Kliegl, R. M. (2019) · Journal of Memory and Language · doi:10.1016/j.jml.2019.104038 · Cited by 74 · see citing works
Self-citationA Bayesian hierarchical model for the measurement of working memory capacity
Morey, R. D. (2010) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2010.08.008 · Cited by 61 · see citing works
Ly, A., Boehm, U., Heathcote, A., Turner, B. M., Forstmann, B. U., Marsman, M., & Matzke, D. (2017) · doi:10.1002/9781119159193.ch34 · Cited by 51 · see citing works
Hierarchical single- and dual-process models of recognition memory
Pratte, M. S., & Rouder, J. N. (2010) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2010.08.007 · Cited by 48 · see citing works
Understanding memory impairment with memory models and hierarchical Bayesian analysis
Pooley, J. P., Lee, M., & Shankle, W. R. (2010) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2010.08.003 · Cited by 30 · see citing works
Bayesian hypothesis testing: Editorial to the Special Issue on Bayesian data analysis.
Hoijtink, H. J. A., & Chow, S. (2017) · Psychological Methods · doi:10.1037/met0000143 · Cited by 17 · see citing works
Does antecedent complexity affect ellipsis processing? An empirical investigation
Paape, D., Nicenboim, B., & Vasishth, S. (2017) · Glossa a journal of general linguistics · doi:10.5334/gjgl.290 · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 5
- Chow, S.-M., & Hoijtink, H. (2017). Bayesian estimation and modeling: Editorial to the second special issue on Bayesian data analysis. Psychological Methods, 22 (4), 609-615.
- Rabe, M. M., Vasishth, S., Hohenstein, S., Kliegl, R., & Schad, D. J. (2020). Hypr: An r package for hypothesis-driven contrast coding. PsyArXiv. Retrieved from 10.31234/osf.io/cqzdx · DOI
- Ratcliff, R., & Rouder, J. N. (2000). A diffusion model account of masking in two-choice letter identification. Journal of Experimental Psychology: Human Perception and Performance, 26 (1), 127.
- Vandekerckhove, J., Rouder, J. N., & Kruschke, J. K. (2018). Bayesian methods for advancing psychological science. Psychonomic Bulletin & Review, 25 (1), 1-4.
- Vehtari, A., Gelman, A., & Gabry, J. (2017). Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC. Statistics and Computing, 27 (5), 1413-1432.
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Kruschke, J. K. (2021) · Nature Human Behaviour · doi:10.1038/s41562-021-01177-7 · Cited by 462 · see citing works
Addressing climate change with behavioral science: A global intervention tournament in 63 countries
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Jäger, L. A., Mertzen, D., Van Dyke, J. A., & Vasishth, S. (2020) · Journal of Memory and Language · doi:10.1016/j.jml.2019.104063 · Cited by 142 · see citing works
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Margossian, C. C., Zhang, Y., & Gillespie, W. R. (2022) · CPT Pharmacometrics & Systems Pharmacology · doi:10.1002/psp4.12812 · Cited by 20 · see citing works
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Fujita, H., & Cunnings, I. (2022) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037/xlm0001134 · Cited by 20 · see citing works
multiverse: Multiplexing Alternative Data Analyses in R Notebooks
Sarma, A., Kale, A. M., Moon, M. J., Taback, N., Chevalier, F., Hullman, J. R., & Kay, M. (2023) · CHI Conference on Human Factors in Computing Systems · doi:10.1145/3544548.3580726 · Cited by 26 · see citing works
Neural superstatistics for Bayesian estimation of dynamic cognitive models
Schumacher, L., Bürkner, P., Voß, A., Köthe, U., & Radev, S. T. (2023) · Scientific Reports · doi:10.1038/s41598-023-40278-3 · Cited by 25 · see citing works
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Engbert, R., & Rabe, M. M. (2024) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2024.102843 · Cited by 19 · see citing works
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Schotter, E. R., & Dillon, B. (2025) · Behavior Research Methods · doi:10.3758/s13428-024-02572-4 · Cited by 26 · see citing works
Hypothesis Formalization: Empirical Findings, Software Limitations, and Design Implications
Jun, E., Birchfield, M., de Moura, N., Heer, J., & Just, R. (2022) · ACM Transactions on Computer-Human Interaction · doi:10.1145/3476980 · Cited by 19 · see citing works
Iterative importance sampling with Markov chain Monte Carlo sampling in robust Bayesian analysis
Cruz, I. R., Lindström, J., Troffaes, M. C. M., & Sahlin, U. (2022) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2022.107558 · Cited by 19 · see citing works
Illustrating the Value of Prior Predictive Checking for Bayesian Structural Equation Modeling
Winter, S. D., & Depaoli, S. A. (2023) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2022.2164286 · Cited by 19 · see citing works
The interaction of grammatically distinct agreement dependencies in predictive processing
Stone, K., Veríssimo, J., Schad, D. J., Oltrogge, E., Vasishth, S., & Lago, S. (2021) · Language Cognition and Neuroscience · doi:10.1080/23273798.2021.1921816 · Cited by 18 · see citing works
Self-citationInvestigating variability in morphological processing with Bayesian distributional models
Ciaccio, L. A., & Veríssimo, J. (2022) · Psychonomic Bulletin & Review · doi:10.3758/s13423-022-02109-w · Cited by 18 · see citing works
Graves, A. J., Danoff, J. S., Kim, M., Brindley, S. R., Skyberg, A. M., Giamberardino, S. N., Lynch, M. E., Straka, B., Lillard, T. S., Gregory, S. G., et al. (2024) · Scientific Reports · doi:10.1038/s41598-024-60311-3 · Cited by 17 · see citing works
Sentence Comprehension as a Cognitive Process
Vasishth, S., & Engelmann, F. (2021) · Cambridge University Press eBooks · doi:10.1017/9781316459560 · Cited by 27 · see citing works
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Vasishth, S. (2022) · Annual Review of Linguistics · doi:10.1146/annurev-linguistics-031220-010345 · Cited by 15 · see citing works
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Bayesian Methods for Interaction and Design
Williamson, J., Oulasvirta, A., Kristensson, P. O., & Banović, N. (2022) · Cambridge University Press eBooks · doi:10.1017/9781108874830 · Cited by 14 · see citing works
Sentence Comprehension as a Cognitive Process: A Computational Approach
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Dotlǎcil, J. (2021) · Cognitive Sciences · doi:10.1111/cogs.13020 · Cited by 15 · see citing works
Confidence in evaluations and value-based decisions reflects variation in experienced values.
Quandt, J., Figner, B., Holland, R. W., & Veling, H. (2021) · Journal of Experimental Psychology General · doi:10.1037/xge0001102 · Cited by 14 · see citing works
Monnahan, C. C. (2024) · Fisheries Research · doi:10.1016/j.fishres.2024.107024 · Cited by 13 · see citing works
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Satopää, V., Salikhov, M., Tetlock, P. E., & Mellers, B. A. (2021) · International Journal of Forecasting · doi:10.1016/j.ijforecast.2021.12.010 · Cited by 13 · see citing works
Multimodal cue integration and learning in a neural representation of head direction
Basnak, M. A., Kutschireiter, A., Okubo, T. S., Chen, A., Gorelik, P., Drugowitsch, J., & Wilson, R. I. (2025) · Nature Neuroscience · doi:10.1038/s41593-024-01823-z · Cited by 13 · see citing works
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Kamiya, T., Davis, N. M., Greischar, M. A., Schneider, D. S., & Mideo, N. (2021) · eLife · doi:10.7554/elife.65846 · Cited by 12 · see citing works
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Yee, D. M. (2024) · Journal of Cognitive Neuroscience · doi:10.1162/jocn_a_02258 · Cited by 11 · see citing works
Mädebach, A., Kurtz, F., Schriefers, H. J., & Jescheniak, J. D. (2020) · Language Cognition and Neuroscience · doi:10.1080/23273798.2020.1727539 · Cited by 11 · see citing works
Bayesian Workflow for Generative Modeling in Computational Psychiatry
Hess, A. J., Iglesias, S., Köchli, L., Marino, S., Müller-Schrader, M., Rigoux, L., Mathys, C., Harrison, O. K., Heinzle, J., Frässle, S., et al. (2025) · Computational Psychiatry · doi:10.5334/cpsy.116 · Cited by 10 · see citing works
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Abir, Y., & Hassin, R. R. (2020) · Consciousness and Cognition · doi:10.1016/j.concog.2020.103005 · Cited by 10 · see citing works
Fucci, E., Poublan‐Couzardot, A., Abdoun, O., & Antoine Lutz, A. (2022) · International Journal of Psychophysiology · doi:10.1016/j.ijpsycho.2022.03.010 · Cited by 10 · see citing works
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Kretzschmar, F., & Alday, P. M. (2023) · Neuromethods · doi:10.1007/978-1-0716-3263-5_5 · Cited by 11 · see citing works
Factors shaping vaginal microbiota long-term community dynamics in young adult women
Kamiya, T., Tessandier, N., Elie, B., Bernat, C., Boué, V., Grasset, S., Groc, S., Rahmoun, M., Selinger, C., Humphrys, M. S., et al. (2025) · Peer Community Journal · doi:10.24072/pcjournal.527 · Cited by 8 · see citing works
Simultaneous multifactor Bayesian analysis (SiMBA) of PET time activity curve data
Matheson, G. J., & Ogden, R. T. (2022) · NeuroImage · doi:10.1016/j.neuroimage.2022.119195 · Cited by 9 · see citing works
Poublan‐Couzardot, A., Pagnoni, G., & Antoine Lutz, A. (2022) · doi:10.31219/osf.io/nteg7 · Cited by 9 · see citing works
Probing the content of affective semantic memory following caregiving‐related early adversity
Vannucci, A., Fields, A., Bloom, P. A., Camacho, N. L., Choy, T., Durazi, A., Hadis, S. S., Harmon, C., Heleniak, C. M., VanTieghem, M., et al. (2024) · Developmental Science · doi:10.1111/desc.13518 · Cited by 8 · see citing works
Kamiya, T., Alvarez‐Iglesias, A., Ferguson, J. P., Murphy, S., Sofonea, M. T., & Fitz-Simon, N. (2023) · Global Epidemiology · doi:10.1016/j.gloepi.2023.100111 · Cited by 8 · see citing works
Data assimilation in dynamical cognitive science
Engbert, R., Rabe, M. M., Schwetlick, L., Seelig, S. A., Reich, S., & Vasishth, S. (2021) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2021.11.006 · Cited by 8 · see citing works
Self-citationDesigning optimal behavioral experiments using machine learning
Valentin, S., Kleinegesse, S., Bramley, N. R., Seriès, P., Gutmann, M. U., & Lucas, C. G. (2024) · eLife · doi:10.7554/elife.86224 · Cited by 8 · see citing works
Liu, Z., Gillis, T. G., Raman, S., & Cui, Q. (2024) · eLife · doi:10.7554/elife.92262.3 · Cited by 7 · see citing works
Behavioral Threat Assessment and Equity in Exclusionary School Discipline
Cornell, D. G., Maeng, J. L., Winter, S. D., Huang, F. L., Konold, T. R., Kerere, J., Afolabi, K., & Cowley, D. (2025) · School Psychology Review · doi:10.1080/2372966x.2025.2457006 · Cited by 8 · see citing works
A Functional Bayesian Model for Hydrogen–Deuterium Exchange Mass Spectrometry
Crook, O. M., Gittens, N., Chung, C., & Deane, C. M. (2023) · Journal of Proteome Research · doi:10.1021/acs.jproteome.3c00297 · Cited by 7 · see citing works
Number Agreement Attraction in Czech Comprehension: Negligible Facilitation Effects
Chromý, J., Lacina, R., & Dotlačil, J. (2023) · Open Mind · doi:10.1162/opmi_a_00107 · Cited by 7 · see citing works
A Workflow for Building Computationally Rational Models of Human Behavior
Chandramouli, S., Shi, D., Putkonen, A., Peuter, S. D., Zhang, S., Jokinen, J., Howes, A., & Oulasvirta, A. (2024) · Computational Brain & Behavior · doi:10.1007/s42113-024-00208-6 · Cited by 7 · see citing works
FrAMBI: A Software Framework for Auditory Modeling Based on Bayesian Inference
Barumerli, R., & Majdak, P. (2025) · Neuroinformatics · doi:10.1007/s12021-024-09702-5 · Cited by 7 · see citing works
WALD-EM: Wald accumulation for locations and durations of eye movements.
Kucharský, Š., van Renswoude, D. R., Raijmakers, M. E. J., & Visser, I. (2021) · Psychological Review · doi:10.1037/rev0000292 · Cited by 7 · see citing works
When Fixed and Random Effects Mismatch: Another Case of Inflation of Evidence in Non-Maximal Models
Veríssimo, J. (2022) · Computational Brain & Behavior · doi:10.1007/s42113-022-00152-3 · Cited by 7 · see citing works
The Reliability Factor: Modeling Individual Reliability with Multiple Items from a Single Assessment
Martin, S. R., & Rast, P. (2022) · Psychometrika · doi:10.1007/s11336-022-09847-9 · Cited by 7 · see citing works
A parsimonious Bayesian crop growth model for water-limited winter wheat
Poudel, P., Alderman, P. D., Ochsner, T. E., & Lollato, R. P. (2024) · Computers and Electronics in Agriculture · doi:10.1016/j.compag.2024.108618 · Cited by 6 · see citing works
Validation and Comparison of Non-stationary Cognitive Models: A Diffusion Model Application
Schumacher, L., Schnuerch, M., Voß, A., & Radev, S. T. (2024) · Computational Brain & Behavior · doi:10.1007/s42113-024-00218-4 · Cited by 6 · see citing works
A gentle introduction to Bayesian statistics, with applications to bilingualism research
Veríssimo, J. (2025) · Linguistic Approaches to Bilingualism · doi:10.1075/lab.24027.ver · Cited by 6 · see citing works
Fuhrmeister, P., Elbuy, S., & Bürki, A. (2024) · Journal of Cognition · doi:10.5334/joc.337 · Cited by 6 · see citing works
Pargent, F., Koch, T. K., Kleine, A., Lermer, E., & Gaube, S. (2024) · Advances in Methods and Practices in Psychological Science · doi:10.1177/25152459241287132 · Cited by 11 · see citing works
Plank, I. S., Tepest, R., Vogeley, K. T., & Falter‐Wagner, C. M. (2025) · Molecular Autism · doi:10.1186/s13229-025-00668-y · Cited by 6 · see citing works
Haines, N., & Beauchaine, T. P. (2020) · Psychopathology · doi:10.1159/000508539 · Cited by 5 · see citing works
- Authors
- Schad, D. J., Betancourt, M., & Vasishth, S.
- Affiliations
- University of Potsdam (DE)
- Venue
- Psychological Methods
- Published
- 2021-02
- Volume
- 26
- Issue
- 1
- Pages
- 103-126
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- OpenAlex
- W2941987401
- Cited by
- 252
- References
- 51
- Citations by year
- 2026: 32 · 2025: 34 · 2024: 40 · 2023: 38 · 2022: 34 · 2021: 58 · 2020: 10 · 2019: 5 · 2018: 1
- FWCI
- 24.54
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- cc-by
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- publish.UP (University of Potsdam) (submittedVersion)
- OSF Preprints (OSF Preprints) (submittedVersion)
- arXiv (Cornell University) (cc-by)
- Funders
- Deutsche Forschungsgemeinschaft (317633480—SFB 1287)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Computer Science › Artificial Intelligence › Bayesian Modeling and Causal Inference
- Physical Sciences › Mathematics › Statistics and Probability › Markov Chains and Monte Carlo Methods
- Keywords
- model checking, posterior predictive checks, model sensitivity, prior distributions, reading time, relative clauses, overfitting, probabilistic programming
- MeSH terms
- Bayes Theorem, Humans, Models, Psychological, Models, Statistical, Cognitive Science, Workflow
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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