@article{Singmann2025,

title = {Evaluating the Robustness of Parameter Estimates in Cognitive Models: A Meta-Analytic Review of Multinomial Processing Tree Models Across the Multiverse of Estimation Methods},

author = {Henrik Singmann and Daniel W Heck and Marius Barth and Edgar Erdfelder and Nina R Arnold and Frederik Aust and Jimmy Calanchini and Fabian E Gümüsdagli and Sebastian S Horn and David Kellen and Karl C. Klauer and Dora Matzke and Franziska Meissner and Martha Michalkiewicz and Marie Luisa Schaper and Christoph Stahl and Beatrice G. Kuhlmann and Julia Groß},

url = {http://singmann.org/download/publications/MPT-multiverse.pdf, accepted manuscript

https://osf.io/preprints/psyarxiv/sd4xp, preprint on OSF},

doi = {10.31234/osf.io/sd4xp},

year  = {2025},

date = {2025-03-01},

urldate = {2025-03-01},

journal = {Psychological Bulletin},

publisher = {PsyArXiv},

keywords = {hierarchical-Bayesian modeling, mathematical modeling, measurement models, Meta Analysis, MPT models, Statistics - Computation},

pubstate = {forthcoming},

tppubtype = {article}

}

@article{Kominsky2021,

title = {The trajectory of counterfactual simulation in development},

author = {Jonathan Kominsky and Tobias Gerstenberg and Madeline Pelz and Mark Sheskin and Henrik Singmann and Laura Schulz and Frank C. Keil},

url = {http://singmann.org/download/publications/Kominsky-et-al.-2021-The-trajectory-of-counterfactual-simulation-in-dev.pdf, published version

http://singmann.org/download/publications/Kominsky_in-press_Tracing_counterfactual_development.pdf, accepted version

https://osf.io/5jw6y/, data, code, and materials (OSF)},

year  = {2021},

date = {2021-11-04},

journal = {Developmental Psychology},

volume = {57},

number = {2},

pages = {253-268},

keywords = {causality, measurement models, MPT models, Reasoning},

pubstate = {published},

tppubtype = {article}

}

@article{Winiger2022,

title = {Bias in Confidence: A critical test for discrete-state models of visual working memory.},

author = {Samuel Winiger and Henrik Singmann and David Kellen},

url = {http://singmann.org/download/publications/Winiger-et-al.-2020-Bias-in-confidence-A-critical-test-for-discrete-s.pdf, Journal PDF

https://psyarxiv.com/6cmsp/, accepted preprint

https://osf.io/es2rw/, data, code, and materials (OSF)},

year  = {2021},

date = {2021-06-01},

journal = {Journal of Experimental Psychology: Learning, Memory, and Cognition},

volume = {47},

number = {3},

pages = {387-401},

keywords = {mathematical modeling, measurement models, memory, MPT models, Recognition memory, Signal detection},

pubstate = {published},

tppubtype = {article}

}

@article{Kellen2017,

title = {Memory Representations, Tree Structures, and Parameter Polysemy: Comment on Cooper, Greve, and Henson (2017)},

author = {David Kellen and Henrik Singmann},

url = {http://singmann.org/download/publications/kellen_singmann-memory-representations-tree_in-press.pdf, accepted manuscript},

year  = {2017},

date = {2017-11-01},

journal = {Cortex},

volume = {96},

pages = {148-155},

keywords = {mathematical modeling, measurement models, MPT models, source memory},

pubstate = {published},

tppubtype = {article}

}

@article{Beller2015,

title = {Turn around to have a look? Spatial referencing in dorsal versus frontal settings in cross-linguistic comparison  },

author = {Sieghard Beller and Henrik Singmann and Lisa Hüther and Andrea Bender

},

url = {http://journal.frontiersin.org/article/10.3389/fpsyg.2015.01283/pdf, Frontiers pdf

http://journal.frontiersin.org/article/10.3389/fpsyg.2015.01283, Frontiers website},

doi = {10.3389/fpsyg.2015.01283    },

year  = {2015},

date = {2015-09-02},

journal = {Frontiers in Psychology    },

volume = {6},

number = {1283},

keywords = {frame of reference, measurement models, MPT models},

pubstate = {published},

tppubtype = {article}

}

@article{kellen_further_2015,

title = {Further Evidence for Discrete-State Mediation in Recognition Memory},

author = {Kellen, David and Singmann, Henrik and Vogt, Jan and Klauer, Karl Christoph},

url = {http://singmann.org/download/publications/2015_kellen_singmann_vogt_klauer.pdf, published article

https://osf.io/zadt6/, supplemental materials (data and code; on the Open Science Framework)

http://dx.doi.org/10.1027/1618-3169/a000272, link to publisher website},

year  = {2015},

date = {2015-02-20},

journal = {Experimental Psychology},

volume = {62},

number = {1},

pages = {40-53},

keywords = {discrete states, mathematical modeling, measurement models, memory, MPT models, Recognition memory, Signal detection},

pubstate = {published},

tppubtype = {article}

}

@article{klauer_parametric_xxxx,

title = {Parametric Order Constraints in Multinomial Processing Tree Models: An Extension of Knapp and Batchelder (2004)},

author = {Klauer, Karl Christoph and Singmann, Henrik and Kellen, David},

url = {http://singmann.org/download/publications/2015_klauer_singmann_kellen_jmp.pdf, published article

http://singmann.org/download/publications/supplemental/2014_klauer_singmann_kellen_JMP_supp.zip, supplemental materials

http://arxiv.org/abs/1411.2571, on arXiv},

year  = {2015},

date = {2015-01-01},

journal = {Journal of Mathematical Psychology},

volume = {64-65},

number = {1-7},

keywords = {mathematical modeling, measurement models, MPT models, R},

pubstate = {published},

tppubtype = {article}

}

@article{kellen_modeling_2014,

title = {Modeling source-memory overdistribution},

author = {Kellen, David and Singmann, Henrik and Klauer, Karl Christoph},

url = {http://singmann.org/download/publications/Kellen%20et%20al.%20-%202014%20-%20Modeling%20source-memory%20overdistribution.pdf, published article

http://singmann.org/download/publications/data-scripts/2014_kellen_singmann_klauer.zip, individual data},

year  = {2014},

date = {2014-10-01},

journal = {Journal of Memory and Language},

volume = {76},

pages = {216--236},

keywords = {Familiarity, hierarchical-Bayesian modeling, mathematical modeling, measurement models, memory, MPT models, overdistribution, source memory},

pubstate = {published},

tppubtype = {article}

}

@article{singmann_mptinr:_2013,

title = {MPTinR: Analysis of multinomial processing tree models in R},

author = {Singmann, Henrik and Kellen, David},

url = {http://singmann.org/download/publications/Singmann%20&%20Kellen%20(2013)%20MPTinR.pdf, published article

http://CRAN.R-project.org/package=MPTinR, MPTinR on CRAN},

issn = {1554-3528},

year  = {2013},

date = {2013-01-01},

journal = {Behavior Research Methods},

volume = {45},

number = {2},

pages = {560--575},

keywords = {Fisher information, mathematical modeling, measurement models, MPT models, R, Software},

pubstate = {published},

tppubtype = {article}

}