Abstract
Van Breukelen offers a promising method for modeling both response speed and response accuracy. However, the underlying conception of both dependent measures is somewhat flawed, leading the author to conclude that the approach possesses limitations that, under revised assumptions, may not hold. The central misconception, and a set of related misconceptions, is addressed, and it is suggested that this approach holds a good deal of promise for application in the perceptual and cognitive sciences.
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References
Ashby F.G., Lee W.W. (1993) Perceptual variability as a fundamental axoim of perceptual science. In: Masin S.C. (ed) Foundations of Perceptual Theory. Elsevie, Amsterdam pp 369–399
Ashby F.G., Townsend J.T. (1986) Varieties of perceptual independence. Psychological Review 93:154–179
Batchelder W.H., Riefer D.M. (1999) Theoretical and empirical review of multinomial processing tree modeling. Psychonomic Bulletin & Review 6:57–86
Bisconti T.L., Bergeman C.S., Boker S.M. (2004) Emotion regulation in recently bereaved widows: A dynamical systems approach. Journal of Gerontology: Psychological Sciences 59:158–167
Colonius H. (1995) The instance theory of automaticity: Why the Weibull? Psychological Review 102:744–750
DeCarlo L.T. (1998) Signal detection theory and generalized linear models. Psychological Methods 3:186–205
DeCarlo L.T. (2002a) A latent class extension of signal detection theory, with applications. Multivariate Behavioral Research 37:423–451
DeCarlo L.T. (2002b) Signal detection theory with finite mixture distributions: Theoretical developments with applications to recognition memory. Psychological Review 109:710–721
Dosher B.A. (1979) Empirical approaches to information processing: Speed-accuracy tradeoff functions or reaction time—a reply. Acta Psychologica 43:347–359
Dosher B.A. (1984) Degree of learning and retrieval speed: Study time and multiple exposures. Journal of Experimental Psychology: Learning, Memory, and Cognition 10:541–574
Dzhafarov E.N. (1992) The structure of simple reaction time to step-function signals. Journal of Mathematical Psychology 36:235–268
Dzhafarov E.N. (1993) Grice-representability of response time distribution families. Psychometrika 58:281–314
Dzhafarov E.N. (1997) Process representations and decompositions of response times. In: Marley A.A.J. (ed) Choice, Decision, and Measurement: Essays in Honor of R. Duncan Luce. Erlbaum, Mahwah, NJ, pp 255–277
Fisher D.L., Goldstein W.M. (1983) Stochastic PERT networks as models of cognition: Derivation of the mean, variance, and distribution of reaction time using order-of-processing diagrams. Journal of Mathematical Psychology 27:121–151
Green D.M., Swets J.A. (1966) Signal Detection Theory and Psychophysics. Wiley, New York
Gronlund S.D., Ratcliff R. (1989) Time course of item and associative information: Implications for global memory models. Journal of Experimental Psychology: Learning, Memory, and Cognition 15:846–858
Hintzman D.L., Curran T. (1994) Retrieval dynamics of recognition and frequency judgments: Evidence for separate processes of familiarity and recall. Journal of Memory and Language 33:1–18
Hu X. (2001) Extending general processing tree models to analyze reaction time experiments. Journal of Mathematical Psychology 45:603–634
Kantowitz B.H. (1978) On the accuracy of speed-accuracy tradeoff. Acta Psychologica 42:79–80
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, and Cognition 18:883–914
Luce R.D. (1986) Reaction times: Their role in inferring elementary mental organization. Oxford University Press, New York
Macmillan N.A., Creelman C.D. (2005) Detection Theory: A User’s Guide (2nd ed). Erlbaum, Mahwah, NJ
Maxwell S.E., Delaney H.D. (2004) Designing Experiments and Analyzing Data: A M0odel Comparison Perspective (2nd ed). Erlbaum, Mahwah, NJ
Pachella R. (1974) The interpretation of reaction time in information processing research. In: Kantowitz B.H. (ed) Human Information Processing: Tutorials in Performance and Cognition. Erlbaum, Hillsdale, NJ, pp 41–82
Ratcliff R. (1978) A theory of memory retrieval. Psychological Review 85:59–108
Roberts S., Sternberg S. (1993) The meaning of additive reaction time effects: Tests of three alternatives. In: Meyer D.E., Kornblum S. (eds) Attention and Performance XIV. MIT Press, Cambridge, MA, pp 611–654
Schweickert R. (1982) The bias of an estimate of coupled slack in stochastic PERT networks. Journal of Mathematical Psychology 26:1–12
Schweickert R. (1983) Latent network theory: Scheduling of processes in sentence verification and the Stroop effect. Journal of Experimental Psychology: Learning, Memory, and Cognition 9:353–383
Schweickert R., Townsend J.T. (1989) A trichotomy method: Interactions of factors prolonging sequential and concurrent mental processes in stochastic PERT networks. Journal of Mathematical Psychology 33:328–347
Shiffrin R.M., Steyvers M. (1997) A model for recognition memory: REM—retrieving effectively from memory. Psychonomic Bulletin & Review 4:145–166
Smith P.L., Ratcliff R. (2004) Psychology and neurobiology of simple decisions. Trends in Neuroscience 27:161–168
Spieler D.H., Balota D.A. (1997) Bringing computational models of word naming down to the item level. Psychological Science 8:411–416
Spieler D.H., Balota D.A., Faust M.E. (2000) Levels of selective attention revealed through analyses of reaction time distributions. Journal of Experimental Psychology: Human Perception and Performance 26:506–526
Sternberg S. (1966) High-speed scanning in human memory. Science 153:652–654
Sternberg S. (1969) Memory scanning: Mental processes revealed by reaction time experiments. American Scientist 4:421–457
Thomas R.D. (2001) Characterizing perceptual interactions in face identification using multidimensional signal detection theory. In: Wenger M.J., Townsend J.T. (eds) Computational, Geometric, and Process Perspectives on Facial Cognition: Contests and Challenges Erlbaum, Mahwah, NJ, pp 193–228
Townsend J.T. (1974) Issues and models concerning the processing of a finite number of inputs. In: Kantowitz B.H. (ed) Human Information Processing: Tutorials in Performance and Cognition. Erlbaum, Hillsdale, NJ, pp 133–168
Townsend J.T., Ashby F.G. (1983) Stochastic Modeling of Elementary Psychological Processes. Cambridge University press, Cambridge
Townsend J.T., Nozawa G. (1995) On the spatio-temporal properties of elementary perception: An investigation of parallel, serial, and coactive theories. Journal of Mathematical Psychology 39:321–359
Townsend J.T., Schweickert R. (1989) Toward the trichotomy method: Laying the foundation of stochastic mental networks. Journal of Mathematical Psychology 33:309–327
Townsend J.T., Wenger M.J. (2004a) The serial-parallel dilemma: A case study in a linkage of theory and method. Psychonomic Bulletin & Review 11:391–418
Townsend J.T., Wenger M.J. (2004b) A theory of interactive parallel processing: New capacity measures and predictions for a response time inequality series. Psychological Review 111:1003–1035
Townsend J.T., Hu G.G., Kadlec H. (1988) Feature sensitivity, bias, and interdependencies as a function of intensity and payoffs. Perception & Psychophysics 43:575–591
Weibull W. (1951) A statistical distribution function of wide applicability. Journal of Applied Mechanics 18:293–297
Wenger M.J., Ingvalson E.M. (2002) A decisional component of holistic encoding. Journal of Experimental Psychology: Learning, Memory, and Cognition 28:872–892
Wenger M.J., Ingvalson E.M. (2003) Preserving informational separability and violating decisional separability in facial perception and recognition. Journal of Experimental Psychology: Learning, Memory, and Cognition 29:1106–1118
Wickelgren W.A. (1977) Speed-accuracy tradeoff and information processing dynamics. Acta Psychologica 41:67–85
van Zandt T. (2000) How to fit a response time distribution. Psychonomic Bulletin and Review 7:424–465
van Zandt T. (2002) Analysis of response time distributions. In: Wixted J.T. (ed) Stevens’ Handbook of Experimental Psychology: Methodology in Experimental Psychology, vol. 4, (3rd ed.). Academic, San Diego, pp 461–516
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Wenger, M.J. Models for the statistics and mechanisms of response speed and accuracy. Psychometrika 70, 383–388 (2005). https://doi.org/10.1007/s11336-005-1298-6
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DOI: https://doi.org/10.1007/s11336-005-1298-6