How to fit a response time distribution

Psychonomic Bulletin and Review

Volumn 7, Issue 3, 2000, Pages 424-462

  Van Zandt, Trisha ^a,b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHI SQUARE DISTRIBUTION; COGNITION; HUMAN; NONPARAMETRIC TEST; NORMAL DISTRIBUTION; PSYCHOLOGICAL MODEL; REACTION TIME; REGRESSION ANALYSIS; REVIEW; STATISTICAL ANALYSIS; STATISTICAL MODEL;

CHI-SQUARE DISTRIBUTION; COGNITION; DATA INTERPRETATION, STATISTICAL; HUMANS; LEAST-SQUARES ANALYSIS; LIKELIHOOD FUNCTIONS; MODELS, PSYCHOLOGICAL; NORMAL DISTRIBUTION; REACTION TIME; STATISTICS, NONPARAMETRIC;

EID: 0034279480     PISSN: 10699384     EISSN: None     Source Type: Journal    
DOI: 10.3758/bf03214357     Document Type: Article

References (67)

1. ASHBY, F. G., TEIN, J.-Y., & BALAKRISHNAN, J. D. (1993). Response time distributions in memory scanning. Journal of Mathematical Psychology, 37, 526-555.
2. BALOTA, D. A., & SPIELER, D. H. (1999). Word frequency, repetition, and lexicality effects in word recognition tasks: Beyond measures of central tendency. Journal of Experimental Psychology: General, 128, 32-55.
3. BICKEL, P. J., & DOKSUM, K. A. (1977). Mathematical statistics. San Francisco: Holden-Day.
4. BLANCO, M. J., & ALVAREZ, A. A. (1994). Psychometric intelligence and visual focused attention: Relationships in nonsearch tasks. Intelligence, 18, 77-106.
5. BLOUGH, D. S. (1988). Quantitative relations between visual search speed and target-distractor similarity. Perception & Psychophysics, 43, 57-71.
6. BLOXOM, B. (1984). Estimating response time hazard functions: An exposition and extension. Journal of Mathematical Psychology, 28, 401-420.
7. BLOXOM, B. (1985). A constrained spline estimator of a hazard function. Psychometrika, 50, 301-321.
8. BURBECK, S. L., & LUCE, R. D. (1982). Evidence from auditory simple reaction times for both change and level detectors. Perception & Psychophysics, 32, 117-133.
9. CHECHILE, R. A. (1998). Reexamining the goodness-of-fit problem for interval-scale scores. Behavior Research Methods, Instruments, & Computers, 30, 227-231.
10. COLONIUS, H. (1995). The instance theory of automaticity: Why the Weibull? Psychological Review, 102, 744-750.
11. COUSINEAU, D., & LAROCHELLE, S. (1997). PASTIS: A program for curve and distribution analyses. Behavior Research Methods, Instruments, & Computers, 29, 542-548.
12. DAWSON, M. R. W. (1988). Fitting the ex-Gaussian equation to reaction time distributions. Behavior Research Methods, Instruments, & Computers, 20, 54-57.
13. DEVROYE, L. (1987). A course in density estimation. Boston: Birkhäuser.
14. EMERSON, P. L. (1970). Simple reaction time with Markovian evolution of Gaussian discriminai processes. Psychometrika, 35, 99-109.
15. FELLER, W. (1968). An introduction to probability theory and its applications (Vol. 1). New York: Wiley.
16. GALLANT, A. R. (1987). Nonlinear statistical models. New York: Wiley.
17. GOLDEN, R. M. (1999). Statistical tests for comparing possibly misspecified and non-nested models. Journal of Mathematical Psychology, 44, 153-170.
18. GREEN, D. M., & LUCE, R. D. (1971). Detection of auditory signals presented at random times: III. Perception & Psychophysics, 9, 257-268.
19. GREEN, D. M., & SMITH, A. F. (1982). Detection of auditory signals occurring at random times: Intensity and duration. Perception & Psychophysics, 31, 117-127.
20. HEATHCOTE, A. (1996). RTSYS: A DOS application for the analysis of reaction time data. Behavior Research Methods, Instruments, & Computers, 28, 427-445.
21. HEATHCOTE, A., POPIEL, S. J., & MEWHORT, D. J. (1991). Analysis of response time distributions: An example using the Stroop task. Psychological Bulletin, 109, 340-347.
22. HOCKLEY, W. E. (1984). Analysis of response time distributions in the study of cognitive processes. Journal of Experimental Psychology: Learning, Memory, & Cognition, 10, 598-615.
23. HOCKLEY, W. E., & MURDOCK, B. (1987). A decision model for accuracy and response latency in recognition memory. Psychological Review, 94, 341-358.
24. HOHLE, R. H. (1965). Inferred components of reaction times as a function of foreperiod duration. Journal of Experimental Psychology, 69, 382-386.
25. JUHEL, J. (1993). Should we take the shape of reaction time distributions into account when studying the relationship between RT and psychometric intelligence? Personality & Individual Differences, 15, 357-360.
26. KNUTH, D. E. (1981). Seminumerical algorithms. Reading, MA: Addison-Wesley.
27. LETH-STEENSON, C., KING ELBAZ, Z., & DOUGLAS, V. I. (2000). Mean response times, variability, and skew in the responding of ADHD children: A response time distributional approach. Acta Psychologica, 104, 167-190.
28. LOGAN, G. D. (1988). Toward an instance theory of automatization. Psychological Review, 95, 492-527.
29. LOGAN, G. D. (1992). Shapes of reaction-time distributions and shapes of learning curves: A test of the instance theory of automaticity. Journal of Experimental Psychology: Learning, Memory, & Cognition, 18, 883-914.
30. LOGAN, G. D. (1995). The Weibull distribution, the power law, and the instance theory of automaticity. Psychological Review, 102, 751-756.
31. LUCE, R. D. (1986). Response times: Their role in inferring elementary mental organization. New York: Oxford University Press.
32. MADDEN, D., GOTTLOB, L., DENNY, L., TURKINGTON, T., PROVENZALE, J., HAWK, T., & COLEMAN, R. (1999). Aging and recognition memory: Changes in regional cerebral blood flow associated with components of reaction time distributions. Journal of Cognitive Neuroscience, 11, 511-520.
33. MCCLELLAND, J. (1979). On the time relations of mental processes: An examination of systems of processes in cascade. Psychological Review, 86, 287-330.
34. MCELREE, B. (1998). Attended and non-attended states in working memory: Accessing categorized structures. Journal of Memory & Language, 37, 225-252.
35. MCELREE, B., & DOSHER, B. A. (1993). Serial retrieval processes in the recovery of order information. Journal of Experimental Psychology: General, 122, 291-315.
36. MCGILL, W. J. (1963). Stochastic latency mechanisms. In R. D. Luce & R. R. Bush (Eds.), Handbook of mathematical psychology (Vol. 1, pp. 309-360). New York: Wiley.
37. MILLER, J. (1982). Divided attention: Evidence for coactivation with redundant signals. Cognitive Psychology, 14, 247-279.
38. MYUNG, I. J. (1999). The importance of complexity in model selection. Journal of Mathematical Psychology, 44, 190-204.
39. NELDER, J. A., & MEAD, R. (1965). A simplex method for function minimization. Computer Journal, 7, 308-313.
40. NOSOFSKY, R. M., & PALMERI, T. J. (1997). Comparing exemplar-retrieval and decision-bound models of speeded perceptual classification. Perception & Psychophysics, 59, 1027-1048.
41. PARZEN, E. (1962). On estimation of a probability density function and mode. Annals of Mathematical Statistics, 33, 1065-1076.
42. PIKE, R. (1973). Response latency models for signal detection. Psychological Review, 80, 53-68.
43. PLOURDE, C., & BESNER, D. (1997). On the locus of the word frequency effect in visual word recognition. Canadian Journal of Experimental Psychology, 51, 181-194.
44. POSSAMAI, C. (1991). A responding hand effect in a simple-RT precueing experiment: Evidence for a late locus of facilitation. Acta Psychologica, 77, 47-63.
45. PRESS, W. H., TEUKOLSKY, S. A., VETTERLING, W. T., & FLANNERY, B. P. (1992). Numerical recipes in FORTRAN: The art of scientific computing (2nd ed.). New York: Cambridge University Press.
46. RATCLIFF, R. (1978). A theory of memory retrieval. Psychological Review, 85, 59-108.
47. RATCLIFF, R. (1979). Group reaction time distributions and an analysis of distribution statistics. Psychological Bulletin, 86, 446-461.
48. RATCLIFF, R. (1988). Continuous versus discrete information processing: Modeling the accumulation of partial information. Psychological Review, 95, 238-255.
49. RATCLIFF, R. & MURDOCK, B. B., JR. (1976). Retrieval processes in recognition memory. Psychological Review, 83, 190-214.
50. READ, T. R. C., & CRESSIE, N. A. C. (1988). Goodness-of-fit statistics for discrete multivariate data. New York: Springer-Verlag.
51. REBER, P. J., ALVAREZ, P., & SQUIRE, L. R. (1997). Reaction time distributions across normal forgetting: Searching for markers of memory. Learning & Memory, 4, 284-290.
52. ROHRER, D., & WIXTED, J. T. (1994). An analysis of latency and interresponse time in free recall. Memory & Cognition, 22, 511-524.
53. RUDD, M. E. (1996). A neural timing model of visual threshold. Journal of Mathematical Psychology, 40, 1-29.
54. SILVERMAN, B. W. (1986). Density estimation for statistics and data analysis. London: Chapman & Hall.
55. SMITH, D., & MEWHORT, D. (1998). The distribution of latencies constrains theories of decision time: A test of the random-walk model using numeric comparison. Australian Journal of Psychology, 50, 149-156.
56. SMITH, P. L., & VICKERS, D. (1988). The accumulator model of two-choice discrimination. Journal of Mathematical Psychology, 32, 135-168.
57. SPIELER, D. H., BALOTA, D. A., & FAUST, M. E. (1996). Stroop performance in healthy younger and older adults and in individuals with dementia of the Alzheimer's type. Journal of Experimental Psychology: Human Perception & Performance, 22, 461-479.
58. STRAYER, D. L., & KRAMER, A. F. (1994). Strategies and automaticity: I. Basic findings and conceptual framework. Journal of Experimental Psychology: Learning, Memory, & Cognition, 20, 318-341.
59. TAPIA, R. A., & THOMPSON, J. R. (1978). Nonparametric probability density estimation. Baltimore: Johns Hopkins University Press.
60. TOLHURST, D. J. (1975). Reaction times in the detection of gratings by human observers: A probabilistic mechanism. Vision Research, 15, 1143-1149.
61. TOWNSEND, J. T. (1990). Truth and consequences of ordinal differences in statistical distributions: Toward a theory of hierarchical inference. Psychological Bulletin, 108, 551-567.
62. TOWNSEND, J. T., & ASHBY, F. G. (1983). Stochastic modeling of elementary psychological processes. New York: Cambridge University Press.
63. VAN ZANDT, T., COLONIUS, H., & PROCTOR, R. W. (2000). A comparison of two response time models applied to perceptual matching. Psychonomic Bulletin & Review, 7, 208-256.
64. VAN ZANDT, T., & RATCLIFF, R. (1995). Statistical mimicking of reaction time data: Single-process models, parameter variability, and mixtures. Psychonomic Bulletin & Review, 2, 20-54.
65. WALD, A. (1947). Sequential analysis. New York: Wiley.
66. WICKENS, T. D. (1982). Models for behavior: Stochastic processes in psychology. San Francisco: Freeman.
67. WIXTED, J. T., & ROHRER, D. (1993). Proactive interference and the dynamics of free recall. Journal of Experimental Psychology: Learning, Memory, & Cognition, 19, 1024-1039.