Parameter variability and distributional assumptions in the diffusion model

Psychological Review

Volumn 120, Issue 1, 2013, Pages 281-292

  Ratcliff, Roger ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Diffusion model; Parameter distributions; Response time and accuracy

Indexed keywords

ARTICLE; DECISION MAKING; HUMAN; PHYSIOLOGY; PSYCHOLOGICAL MODEL; REACTION TIME;

CHOICE BEHAVIOR; HUMANS; MODELS, PSYCHOLOGICAL; REACTION TIME;

EID: 84881106022     PISSN: 0033295X     EISSN: None     Source Type: Journal    
DOI: 10.1037/a0030775     Document Type: Article

References (58)

1. Batchelder, W. H. (1998). Multinomial processing tree models and psychological assessment. Psychological Assessment, 10, 331-344. doi: 10.1037/1040-3590.10.4.331
2. Bogacz, R., Brown, E., Moehlis, J., Holmes, P., & Cohen, J. D. (2006). The physics of optimal decision making: A formal analysis of models of performance in two-alternative forced choice tasks. Psychological Review, 113, 700-765. doi:10.1037/0033-295X.113.4.700
3. Brown, S. D., & Heathcote, A. J. (2008). The simplest complete model of choice response time: Linear ballistic accumulation. Cognitive Psychology, 57, 153-178. doi:10.1016/j.cogpsych.2007.12.002
4. Busemeyer, J. R., & Stout, J. C. (2002). A contribution of cognitive decision models to clinical assessment: Decomposing performance on the Bechara gambling task. Psychological Assessment, 14, 253-262. doi:10.1037/1040-3590.14.3.253
5. Busemeyer, J. R., & Townsend, J. T. (1993). Decision field theory: A dynamic-cognitive approach to decision making in an uncertain environment. Psychological Review, 100, 432-459. doi:10.1037/0033-295X.100.3.432
6. Churchland, A. K., Kiani, R., & Shadlen, M. N. (2008). Decision-making with multiple alternatives. Nature Neuroscience, 11, 693-702. doi: 10.1038/nn.2123
7. Diederich, A., & Busemeyer, J. R. (2003). Simple matrix methods for analyzing diffusion models of choice probability, choice response time, and simple response time. Journal of Mathematical Psychology, 47, 304-322. doi:10.1016/S0022-2496(03)00003-8
8. Donkin, C., Brown, S., Heathcote, A., & Wagenmakers, E. J. (2011). Diffusion versus linear ballistic accumulation: Different models for response time, same conclusions about psychological mechanisms? Psychonomic Bulletin & Review, 55, 140-151.
9. Geddes, J., Ratcliff, R., Allerhand, M., Childers, R., Wright, R. J., Frier, B. M., & Deary, I. J. (2010). Modeling the effects of hypoglycemia on a two-choice task in adult humans. Neuropsychology, 24, 652-660. doi:10.1037/a0020074
10. Gold, J. I., & Shadlen, M. N. (2001). Neural computations that underlie decisions about sensory stimuli. Trends in Cognitive Sciences, 5, 10-16. doi:10.1016/S1364-6613(00)01567-9
11. Gold, J. I., & Shadlen, M. N. (2007). The neural basis of decision making. Annual Review of Neuroscience, 30, 535-574. doi:10.1146/annurev.neuro.29.051605.113038
12. Hanes, D. P., & Schall, J. D. (1996, October 18). Neural control of voluntary movement initiation. Science, 274, 427-430. doi:10.1126/science.274.5286.427
13. Laming, D. R. J. (1968). Information theory of choice reaction time. New York, NY: Wiley.
14. Link, S. W. (1992). The wave theory of difference and similarity. Hillsdale, NJ: Erlbaum.
15. Link, S. W., & Heath, R. A. (1975). A sequential theory of psychological discrimination. Psychometrika, 40, 77-105. doi:10.1007/BF02291481
16. Matzke, D., & Wagenmakers, E.-J. (2009). Psychological interpretation of ex-Gaussian and shifted Wald parameters: A diffusion model analysis. Psychonomic Bulletin & Review, 16, 798-817. doi:10.3758/PBR.16.5.798
17. Mazurek, M. E., Roitman, J. D., Ditterich, J., & Shadlen, M. N. (2003). A role for neural integrators in perceptual decision making. Cerebral Cortex, 13, 1257-1269. doi:10.1093/cercor/bhg097
18. Mulder, M. J., Bos, D., Weusten, J. M. H., van Belle, J., van Dijk, S. C., Simen, P.,... Durson, S. (2010). Basic impairments in regulating the speed-accuracy tradeoffpredict symptoms of attention-deficit/hyperactivity disorder. Biological Psychiatry, 68, 1114-1119. doi: 10.1016/j.biopsych.2010.07.031
19. Palmer, J., Huk, A. C., & Shadlen, M. N. (2005). The effect of stimulus strength on the speed and accuracy of a perceptual decision. Journal of Vision, 5(5), Article 1. doi:10.1167/5.5.1
20. Pleskac, T. J., & Busemeyer, J. R. (2010). Two-stage dynamic signal detection: A theory of choice, decision time, and confidence. Psychological Review, 117, 864-901. doi:10.1037/a0019737
21. Purcell, B. A., Heitz, R. P., Cohen, J. Y., Schall, J. D., Logan, G. D., & Palmeri, T. J. (2010). Neurally constrained modeling of perceptual decision making. Psychological Review, 117, 1113-1143. doi:10.1037/a0020311
22. Ratcliff, R. (1978). A theory of memory retrieval. Psychological Review, 85, 59-108. doi:10.1037/0033-295X.85.2.59
23. Ratcliff, R. (1981). A theory of order relations in perceptual matching. Psychological Review, 88, 552-572. doi:10.1037/0033-295X.88.6.552
24. Ratcliff, R. (1988). Continuous versus discrete information processing: Modeling the accumulation of partial information. Psychological Review, 95, 238-255. doi:10.1037/0033-295X.95.2.238
25. Ratcliff, R. (2002). A diffusion model account of reaction time and accuracy in a brightness discrimination task: Fitting real data and failing to fit fake but plausible data. Psychonomic Bulletin & Review, 9, 278-291. doi:10.3758/BF03196283
26. Ratcliff, R., Cherian, A., & Segraves, M. (2003). A comparison of macaque behavior and superior colliculus neuronal activity to predictions from models of simple two-choice decisions. Journal of Neurophysiology, 90, 1392-1407. doi:10.1152/jn.01049.2002
27. Ratcliff, R., & Frank, M. (2012). Reinforcement-based decision making in corticostriatal circuits: Mutual constraints by neurocomputational and diffusion models. Neural Computation, 24, 1186-1229. doi:10.1162/NECO_a_00270
28. Ratcliff, R., Love, J., Thompson, C. A., & Opfer, J. (2012). Children are not like older adults: A diffusion model analysis of developmental changes in speeded responses. Child Development, 83, 367-381. doi: 10.1111/j.1467-8624.2011.01683.x
29. Ratcliff, R., & McKoon, G. (2008). The diffusion decision model: Theory and data for two-choice decision tasks. Neural Computation, 20, 873-922. doi:10.1162/neco.2008.12-06-420
30. Ratcliff, R., Philiastides, M. G., & Sajda, P. (2009). Quality of evidence for perceptual decision making is indexed by trial-to-trial variability of the EEG. PNAS: Proceedings of the National Academy of Sciences, USA, 106, 6539-6544. doi:10.1073/pnas.0812589106
31. Ratcliff, R., & Rouder, J. N. (1998). Modeling response times for twochoice decisions. Psychological Science, 9, 347-356. doi:10.1111/1467-9280.00067
32. Ratcliff, R., & Rouder, J. N. (2000). A diffusion model account of masking in letter identification. Journal of Experimental Psychology: Human Perception and Performance, 26, 127-140. doi:10.1037/0096-1523.26.1.127
33. Ratcliff, R., & Smith, P. L. (2004). A comparison of sequential sampling models for two-choice reaction time. Psychological Review, 111, 333-367. doi:10.1037/0033-295X.111.2.333
34. Ratcliff, R., & Starns, J. J. (2009). Modeling confidence and response time in recognition memory. Psychological Review, 116, 59-83. doi:10.1037/a0014086
35. Ratcliff, R., Thapar, A., & McKoon, G. (2001). The effects of aging on reaction time in a signal detection task. Psychology and Aging, 16, 323-341. doi:10.1037/0882-7974.16.2.323
36. Ratcliff, R., Thapar, A., & McKoon, G. (2003). A diffusion model analysis of the effects of aging on brightness discrimination. Perception & Psychophysics, 65, 523-535. doi:10.3758/BF03194580
37. Ratcliff, R., Thapar, A., & McKoon, G. (2004). A diffusion model analysis of the effects of aging on recognition memory. Journal of Memory and Language, 50, 408-424. doi:10.1016/j.jml.2003.11.002
38. Ratcliff, R., Thapar, A., & McKoon, G. (2006). Aging and individual differences in rapid two-choice decisions. Psychonomic Bulletin & Review, 13, 626-635. doi:10.3758/BF03193973
39. Ratcliff, R., Thapar, A., & McKoon, G. (2010). Individual differences, aging, and IQ in two-choice tasks. Cognitive Psychology, 60, 127-157. doi:10.1016/j.cogpsych.2009.09.001
40. Ratcliff, R., Thapar, A., & McKoon, G. (2011). Effects of aging and IQ on item and associative memory. Journal of Experimental Psychology: General, 140, 464-487. doi:10.1037/a0023810
41. Ratcliff, R., & Tuerlinckx, F. (2002). Estimating the parameters of the diffusion model: Approaches to dealing with contaminant reaction times and parameter variability. Psychonomic Bulletin & Review, 9, 438-481. doi:10.3758/BF03196302
42. Ratcliff, R., & Van Dongen, H. P. A. (2009). Sleep deprivation affects multiple distinct cognitive processes. Psychonomic Bulletin & Review, 16, 742-751. doi:10.3758/PBR.16.4.742
43. Ratcliff, R., & Van Dongen, H. P. A. (2011). Diffusion model for onechoice reaction time tasks and the cognitive effects of sleep deprivation. PNAS: Proceedings of the National Academy of Sciences, USA, 108, 11285-11290. doi:10.1073/pnas.1100483108
44. Ratcliff, R., Van Zandt, T., & McKoon, G. (1999). Connectionist and diffusion models of reaction time. Psychological Review, 106, 261-300. doi:10.1037/0033-295X.106.2.261
45. Roe, R. M., Busemeyer, J. R., & Townsend, J. T. (2001). Multialternative decision field theory: A dynamic connectionist model of decision making. Psychological Review, 108, 370-392. doi:10.1037/0033-295X.108.2.370
46. Schmiedek, F., Oberauer, K., Wilhelm, O., Suß, H.-M., & Wittmann, W. (2007). Individual differences in components of reaction time distributions and their relations to working memory and intelligence. Journal of Experimental Psychology: General, 136, 414-429. doi:10.1037/0096-3445.136.3.414
47. Spaniol, J., Madden, D. J., & Voss, A. (2006). A diffusion model analysis of adult age differences in episodic and semantic long-term memory retrieval. Journal of Experimental Psychology: Learning, Memory, and Cognition, 32, 101-117. doi:10.1037/0278-7393.32.1.101
48. Stone, M. (1960). Models for choice reaction time. Psychometrika, 25, 251-260. doi:10.1007/BF02289729
49. Usher, M., & McClelland, J. L. (2001). The time course of perceptual choice: The leaky, competing accumulator model. Psychological Review, 108, 550-592. doi:10.1037/0033-295X.108.3.550
50. van der Maas, H. L. J., Molenaar, D., Maris, G., Kievit, R. A., & Borsboom, D. (2011). Cognitive psychology meets psychometric theory. Psychological Review, 118, 339-356. doi:10.1037/a0022749
51. Verbruggen, F., & Logan, G. D. (2008). Response inhibition in the stopsignal paradigm. Trends in Cognitive Sciences, 12, 418-424. doi: 10.1016/j.tics.2008.07.005
52. Voss, A., Rothermund, K., & Voss, J. (2004). Interpreting the parameters of the diffusion model: An empirical validation. Memory & Cognition, 32, 1206-1220. doi:10.3758/BF03196893
53. Wagenmakers, E.-J. (2009). Methodological and empirical developments for the Ratcliffdiffusion model of response times and accuracy. European Journal of Cognitive Psychology, 21, 641-671. doi:10.1080/09541440802205067
54. Wagenmakers, E.-J., Ratcliff, R., Gomez, P., & McKoon, G. (2008). A diffusion model account of criterion shifts in the lexical decision task. Journal of Memory and Language, 58, 140-159. doi:10.1016/j.jml.2007.04.006
55. White, C. N., Ratcliff, R., Vasey, M. W., & McKoon, G. (2010a). Anxiety enhances threat processing without competition among multiple inputs: A diffusion model analysis. Emotion, 10, 662-677. doi:10.1037/a0019474
56. White, C. N., Ratcliff, R., Vasey, M. W., & McKoon, G. (2010b). Using diffusion models to understand clinical disorders. Journal of Mathematical Psychology, 54, 39-52. doi:10.1016/j.jmp.2010.01.004
57. Yechiam, E., Busemeyer, J. R., Stout, J. C., & Bechara, A. (2005). Using cognitive models to map relations between neuropsychological disorders and human decision-making deficits. Psychological Science, 16, 973-978. doi:10.1111/j.1467-9280.2005.01646.x
58. Zeguers, M. H. T., Snellings, P., Tijms, J., Weeda, W. D., Tamboer, P., Bexkens, A., & Huizenga, H. M. (2011). Specifying theories of developmental dyslexia: A diffusion model analysis of word recognition. Developmental Science, 14, 1340-1354. doi:10.1111/j.1467-7687.2011.01091.x