@article{Meyer-Grant2027,

title = {Extreme-Value Signal Detection Theory for Recognition Memory: The Parametric Road Not Taken},

author = {Constantin G. Meyer-Grant and David Kellen and Samuel Harding and Henrik Singmann},

url = {https://osf.io/qhrfj, preprint link},

year  = {2027},

date = {2027-08-01},

urldate = {2025-08-01},

journal = {Psychological Review},

publisher = {OSF},

abstract = {Signal Detection Theory has long served as a cornerstone of psychological research, particularly in recognition memory. Yet its conventional application hinges almost exclusively on the Gaussian assumption—an adherence rooted more in historical convenience than theoretical necessity that comes with a number of well-documented drawbacks. In this work, we critically examine these limitations and introduce a principled parametric alternative: the Gumbel_min model, based on extreme-value distributions of event minima. A key feature of this model is its grounding in a behavioral principle of invariance under uniform choice-set expansions—a prediction we empirically validate in a novel recognition-memory experiment. We further benchmark the Gumbel_min model against its Gaussian counterpart across multiple recognition-memory tasks, including confidence-rating, ranking, forced-choice, and detection-plus-identification paradigms. Our findings highlight the model's parsimonious yet successful characterization of recognition-memory judgments, as well as the utility of its associated discriminability index, g', which can be directly computed from a single pair of hit and false-alarm rates.},

keywords = {critical tests, extreme value distributions, invariance properties, Recognition memory, signal detection theory},

pubstate = {forthcoming},

tppubtype = {article}

}

@article{Kellen2025,

title = {Critical Testing in Recognition Memory: Selective Influence, Single-Item Generalization, and the High-Threshold Hypothesis},

author = { David Kellen and Constantin G. Meyer-Grant and Henrik Singmann and Karl Christoph Klauer },

url = {http://singmann.org/download/publications/Kellen%20et%20al.%20-%202025%20-%20Critical%20testing%20in%20recognition%20memory%20Selective%20influence%2C%20single-item%20generalization%2C%20and%20the%20hig.pdf, publisher PDF

https://osf.io/fnsk2/download/, accepted preprint

https://osf.io/qz5re/, code on OSF

https://doi.org/10.31234/osf.io/fnsk2, PsyArXiv preprint

},

year  = {2025},

date = {2025-08-01},

urldate = {2025-08-01},

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

volume = {51},

issue = {8},

pages = {1259-1280},

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

pubstate = {published},

tppubtype = {article}

}

@article{Kellen2022,

title = {Testing the Foundations of Signal Detection Theory in Recognition Memory.},

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

url = {http://singmann.org/download/publications/kellen-2021-sdt.pdf, publisher PDF

https://psyarxiv.com/p5rj9/, accepted preprint

https://osf.io/zw9yr/, OSF link to data and scripts},

year  = {2021},

date = {2021-11-01},

urldate = {2021-11-01},

journal = {Psychological Review},

volume = {128},

number = {1022-1050},

issue = {6},

keywords = {mathematical modeling, Recognition memory, Signal detection},

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{Starns2020,

title = {Assessing theoretical conclusions with blinded inference to investigate a potential inference crisis},

author = {Jeffrey J. Starns and Andrea M. Cataldo and Caren M. Rotello and Jeffrey Annis and Andrew Aschenbrenner and Arndt Bröder and Gregory Cox and Amy Criss and Ryan A. Curl and Ian G. Dobbins and John Dunn and Tasnuva Enam and Nathan J. Evans and Simon Farrell and Scott H. Fraundorf and Scott D. Gronlund and Andrew Heathcote and Daniel W. Heck and Jason L. Hicks and Mark J. Huff and David Kellen and Kylie N. Key and Asli Kilic and Karl Christoph Klauer and Kyle R. Kraemer and Fábio P. Leite and Marianne E. Lloyd and Simone Malejka and Alice Mason and Ryan M. McAdoo and Ian M. McDonough and Robert B. Michael and Laura Mickes and Eda Mizrak and David P. Morgan and Shane T. Mueller and Adam Osth and Angus Reynolds and Travis M. Seale-Carlisle and Henrik Singmann and Jennifer F. Sloane and Andrew M. Smith and Gabriel Tillman and Don van Ravenzwaaij and Christoph T. Weidemann and Gary L. Wells and Corey N. White and Jack Wilson},

url = {http://singmann.org/download/publications/Starns-et-al.-2019-Assessing-Theoretical-Conclusions-With-Blinded-Inf.pdf, published version

http://singmann.org/download/publications/AMPPS_manuscript_revision2_Submitted.docx, accepted manuscript},

year  = {2019},

date = {2019-12-01},

journal = {Advances in Methods and Practices in Psychological Science},

volume = {2},

number = {4},

pages = {335-349},

keywords = {mathematical modeling, measurement models, memory, model selection, Recognition memory},

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{kellen_measurement_2013,

title = {On the measurement of criterion noise in signal detection theory: Reply to Benjamin (2013)},

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

url = {http://singmann.org/download/publications/Kellen%20et%20al.%20-%202013%20-%20On%20the%20measurement%20of%20criterion%20noise%20in%20signal%20de.pdf, published article},

issn = {0033-295X},

year  = {2013},

date = {2013-01-01},

journal = {Psychological Review},

volume = {120},

number = {3},

pages = {727--730},

keywords = {criterion noise, decision noise, mathematical modeling, measurement models, memory, Recognition memory, response criteria, Signal detection},

pubstate = {published},

tppubtype = {article}

}

@article{kellen_measurement_2012,

title = {On the measurement of criterion noise in signal detection theory: The case of recognition memory.},

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

url = {http://singmann.org/download/publications/Kellen%20et%20al.%20-%202012%20-%20On%20the%20measurement%20of%20criterion%20noise%20in%20signal%20de.pdf, published article

http://singmann.org/download/publications/supplemental/2013_kellen_klauer_singmann.zip, supplemental materials},

issn = {1939-1471, 0033-295X},

year  = {2012},

date = {2012-01-01},

journal = {Psychological Review},

volume = {119},

number = {3},

pages = {457--479},

keywords = {criterion noise, decision noise, mathematical modeling, measurement models, memory, Recognition memory, response criteria, Signal detection},

pubstate = {published},

tppubtype = {article}

}