Abstract
We provide a tutorial on the basic attributes of computational cognitive models—models that are formulated as a set of mathematical equations or as a computer simulation. We first show how models can generate complex behavior and novel insights from very simple underlying assumptions about human cognition. We survey the different classes of models, from description to explanation, and present examples of each class. We then illustrate the reasons why computational models are preferable to purely verbal means of theorizing. For example, we show that computational models help theoreticians overcome the limitations of human cognition, thereby enabling us to create coherent and plausible accounts of how we think or remember and guard against subtle theoretical errors. Models can also measure latent constructs and link them to individual differences, which would escape detection if only the raw data were considered. We conclude by reviewing some open challenges.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Muter P (1980) Very rapid forgetting. Mem Cognit 8:174–179
Latané B (1996) Dynamic social impact: the creation of culture by communication. J Commun 46:13–25
Kenrick DT, Li NP, Butner J (2003) Dynamical evolutionary psychology: individual decision rules and emergent social norms. Psychol Rev 110:3–28
Cialdini RB, Goldstein NJ (2004) Social influence: compliance and conformity. Annu Rev Psychol 55:591–621. doi:10.1146/annurev.psych.55.090902.142015
Cialdini RB, Demaine LJ, Sagarin BJ, DW Barrett, K Rhoads, PL Winter (2006) Managing social norms for persuasive impact. Soc Influ 1:3–15
Schultz PW, Nolan JM, Cialdini RB, Goldstein NJ, Griskevicius V (2007) The constructive, destructive, and reconstructive power of social norms. Psychol Sci 18:429–434
Luce RD (1995) Four tensions concerning mathematical modeling in psychology. Annu Rev Psychol 46:1–26
Inglehart R, Foa R, Peterson C, Welzel C (2008) Development, freedom, and rising happiness. Perspect Psychol Sci 3:264–285
Heathcote A, Brown S, Mewhort DJ (2000) The power law repealed: the case for an exponential law of practice. Psychon Bull Rev 7:185–207
Myung IJ, Kim C, Pitt MA (2000) Toward an explanation of the power law artifact: insights from response surface analysis. Mem Cognit 28:832–840. doi:10.3758/BF03198418
Norris D (2005) How do computational models help us build better theories? In: Cutler A (ed) Twenty-first century psycholinguistics: four cornerstones. Lawrence Erlbaum, Mahwah, pp 331–346
Fum D, Missier FDel, Stocco A (2007) The cognitive modeling of human behavior: why a model is (sometimes) better than 10,000 words. Cognit Syst Res 8:135–142
Lewandowsky S (1993) The rewards and hazards of computer simulations. Psychol Sci 4:236–243
Lewandowsky S, Farrell S (2011) Computational modeling in cognition: principles and practice. Sage, Thousand Oaks
Logan GD (1988) Toward an instance theory of automatization. Psychol Rev 95:492–527
Rouder JN, Lu J, Speckman P, Sun D, Jiang Y (2005) hierarchical model for estimating response time distributions. Psychon Bull Rev 12:195–223
Logan GD (2002) An instance theory of attention and memory. Psychol Rev 109:376–400
Pashler H, Wagenmakers E (2012) Editors introduction to the special section on replicability in psychological science: a crisis of confidence? Perspect Psychol Sci 7:528–530. doi:10.1177/1745691612465253
Evans JSBT (1989) Bias in human reasoning: causes and consequences. Lawrence Erlbaum Associates, Hove
Anderson JR (1996) ACT: a simple theory of complex cognition. Am Psychol 51:355–365
Collins AM, Loftus EF (1975) A spreading activation theory of semantic processing. Psychol Rev 82:407–428
Radvansky G (2006) Human memory. Pearson, Boston
Gentner D, Gentner DR (1983) Flowing waters or teeming crowds: mental models of electricity. In: Gentner D, Stevens AL (ed) Mental models. Lawrence Erlbaum Associates, Hillsdale, pp 99–129
Ratcliff R, McKoon G (1981) Does activation really spread? Psychol Rev 88:454–462
Anderson JR (1983) A spreading activation theory of memory. J Verbal Learn Verbal Behav 22:261–295
Borst J, Anderson JR (2013) Using the ACT-R cognitive architecture in combination with fMRI data. In: Forstmann BU, Wagenmakers EJ (eds) An introduction to model-based cognitive neuroscience. Springer, New York, pp [this volume, needs updating]
Anderson JR, Matessa M (1997) A production system theory of serial memory. Psychol Rev 104:728–748
Pavlik PI, Anderson JR (2005) Practice and forgetting effects on vocabulary memory: an activation-based model of the spacing effect Cognit Sci 29:559–586
Pavlik PI, Anderson JR (2008) Using a model to compute the optimal schedule of practice. J Exp Psychol: Appl 14:101–117
Anderson JR, Schooler LJ (1991) Reflections of the environment in memory. Psychol Sci 2:396–408
Ashby FG (1992) Multidimensional models of perception and cognition. Lawrence Erlbaum, Hillsdale
Nosofsky RM (1986) Attention, similarity, and the identification-categorization relationship. J Exp Psychol Learn Mem Cognit 115:39–61
Maddox WT Ashby FG (1993) Comparing decision bound and exemplar models of categorization. Percept Psychophys 53(1):49–70
McKinley SC, R.M. Nosofsky (1995) Investigations of exemplar and decision bound models in large, ill-defined category structures. J Exp Psychol Hum Percept Perform 21:128–148
Nosofsky RM, Johansen M (2000) Exemplar-based accounts of “multiplesystem” phenomena in perceptual categorization. Psychon Bull Rev 7:375–402
Rouder JN, Ratcliff R (2004) Comparing categorization models. J Exp Psychol Gener 133:63–82
Farrell S, Ratcliff R, Cherian A, Segraves M (2006) Learn Behav 34:86
Craig S, Lewandowsky S (2012) Whichever way you choose to categorize, working memory helps you learn. Q J Exp Psychol 65:439–464
Lewandowsky S, Yang LX, Newell BR, Kalish ML (2012) Working memory does not dissociate between different perceptual categorization tasks. J Exp Psychol Learn Mem Cognit 38:881–904
Doll BB, Hutchison KE, Frank MJ (2011) Dopaminergic genes predict individual differences in susceptibility to confirmation bias. J Neurosci 31(16):6188–6198
Farrell S, Lelièvre A (2009) End anchoring in short-term order memory. J Mem Lang 60:209–227
Jang Y, Wixted J, Huber DE (2009) Testing signal-detection models of yes/no and two alternative forced choice recognition memory. J Exp Psychol Gener 138:291–306
McDaniel M, Busemeyer J (2005) The conceptual basis of function learning and extrapolations: comparison of rule-based and associative-based models. Psychon Bull Rev 12(1):24–42
Brown GDA, Neath I, Chater N (2007) Amnesia, rehearsal, and temporal distinctiveness models of recall. Psychol Rev 114:539–260
Neath I, Brown G (2006) Simple: further applications of a local distinctiveness model of memory. Psychol Learn Motiv 46:201–243
Baddeley AD, Warrington EK (1970) Amnesia and the distinction between long- and short-term memory. J Verb Learn Verb Behav 9:176–189
Brown GDA, Della Salla S, Foster JK, Vousden JI (2007) Amnesia, rehearsal, and temporal distinctiveness models of recall. Psychon Bull Rev 14:256–260
Brown GDA, Lewandowsky S. (2010) Forgetting in memory models: arguments against trace decay and consolidation failure. In: Della Sala S (ed) Forgetting. Psychology Press, Hove, pp 49–75
Lewandowsky S, Ecker UKH, Farrell S, Brown GDA (2011) Models of cognition and constraints from neuroscience: a case study involving consolidation. Aust J Psychol 64:37–45
Kane MJ, Bleckley MK, Conway ARA Engle RW(2001) A controlled-attention view of working-memory capacity. J Exp Psychol Gener 130:169–183
Ratcliff R, Smith PL (2004) A comparison of sequential sampling models for two-choice reaction time. Psychol Rev 111:333–367
Batchelder W, Riefer D (1999) Theoretical and empirical review of multinomial process tree modeling. Psychon Bull Rev 6:57–86
Vandekerckhove J, Tuerlinckx F, Lee MD (2011) Hierarchical diffusion models for two-choice response times. Psychol Methods 16:44–62
Schmiedek F, Oberauer K, Wilhelm O, SüßHM, Wittmann WW (2007) Individual differences in components of reaction time distributions and their relations to working memory and intelligence. J Exp Psychol: Gener 136:414–429. doi:10.1037/0096-3445.136.3.414
Wagenmakers EJ, van der Maas HLJ, Grasman RPPP (2007) An EZ-diffusion model for response time and accuracy. Psychon Bull Rev 14:3–22
Lewandowsky S (2011) Working memory capacity and categorization: individual differences and modeling. J Exp Psychol Learn Mem Cognit 37:720–738
Shepard RN, Hovland CI, Jenkins HM (1961) Learning and memorization of classifications. Psychol Monogr 75:1–42 (13, Whole No. 517)
DeCaro MS, Thomas RD, Beilock SL (2008) Individual differences in category learning: sometimes less working memory capacity is better than more. Cognition 107:284–294
Kruschke JK (1992) ALCOVE: an exemplar-based connectionist model of category learning. Psychol Rev 99:22–44
Forstmann BU, Dutilh G, Brown S, Neumann J, von CramondDY, Ridderinkhofa KR, Wagenmakers EJ (2008) Striatum and pre-SMA facilitate decision-making under time pressure. Proc Natl Acad Sci U S A 105:17538–17542
Townsend JT (2008) Mathematical psychology: prospects for the 21st century: a guest editorial. J Math Psychol 52:269–280
Busemeyer JR, Diederich A (2010) Cognitive modeling. Sage, Thousand Oaks
Hintzman DL (1991) Why are formal models useful in psychology? In: Hockley WE, Lewandowsky S (eds) Relating theory and data: essays on human memory in honor of Bennet B. Murdock. Lawrence Erlbaum, Hillsdale, pp 39–56
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Farrell, S., Lewandowsky, S. (2015). An Introduction to Cognitive Modeling. In: Forstmann, B., Wagenmakers, EJ. (eds) An Introduction to Model-Based Cognitive Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2236-9_1
Download citation
DOI: https://doi.org/10.1007/978-1-4939-2236-9_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-2235-2
Online ISBN: 978-1-4939-2236-9
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)