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A Theory of Reaction Time Distributions

By Dr Fermin Moscoso del Prado Martin

Abstract

We develop a general theory of reaction time (RT) distributions in psychological experiments, deriving from the distribution of the quotient of two normal random variables, that of the task difficulty (top-down information), and that of the external evidence that becomes available to solve it (bottom-up information). The theory provides a unied account of known changes in the shape of the distributions depending on properties of the task and of the participants, and it predicts additional changes that should be observed. A number of known properties of RT distributions are homogeneously accounted\ud for by variations in the value of two easily interpretable parameters: the coefficients of variation of the two normal variables. The predictions of the theory are compared with those of multiple families of distributions that have been proposed to account for RTs, indicating our theory provides a significantly better account of experimental data. For this purpose, we provide comparisons with four large datasets across tasks and modalitities. Finally,\ud we show how the theory links to neurobiological models of response latencies

Topics: Complexity Theory, Neural Modelling, Cognitive Psychology
Year: 2009
OAI identifier: oai:cogprints.org:6326
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    Citations

    1. (1995). 1/f noise in human cognition.
    2. (2007). A bayesian approach to diffusion models of decision-making and response time. In
    3. (2003). A comparison of macaque behavior and superior colliculus neuronal activity to predictions from models of two-choice decisions.
    4. (2004). A comparison of sequential sampling models for two-choice reaction time.
    5. (2004). A diffusion model account of the lexical decision task.
    6. (1978). A theory of memory retrieval.
    7. (1968). An introduction to probability theory and its applications
    8. (1972). Application of a variable criterion model to auditory reaction time as a function of the type of catch trial.
    9. (1995). Bayes factors.
    10. (2009). Comparing time-accuracy curves: Beyond goodness-of-fit measures.
    11. (1999). Countermanding saccades in humans.
    12. (2007). Dual diffusion model for single-cell recording data from the superior colliculus in a brightness-discrimination task.
    13. (1965). Inferred components of reaction times as functions of A Theory
    14. (1968). Information Theory of Choice Reaction Times.
    15. (1999). Is the fossil record indicative of a critical system?
    16. (2007). Large-scale visuomotor integration in the cerebral cortex.
    17. (1993). Methods for dealing with reaction time outliers.
    18. (2008). Mixed-effects modeling with crossed random effects for subjects and items.
    19. (1996). Neural control of voluntary movement initiation.
    20. (2006). Neural representation of task difficulty and decision making during perceptual categorization: A timing diagram.
    21. (2008). Neurophysiology and neuroanatomy of reflexive and voluntary saccades in non-human primates.
    22. (1952). On the rate of gain of information.
    23. (1969). On the ratio of two correlated normal random variables.
    24. (1869). On the speed of mental processes.
    25. (2003). Probability Theory: The Logic of Science.
    26. (2001). Putting noise into neurophysiological models of simple decision making.
    27. (1976). Retrieval processes in recognition memory.
    28. (1971). The distribution of cell generation times.
    29. (1932). The distribution of the index in a normal bivariate population.
    30. (2008). The effect of stimuli that isolate S-cones on early saccades and the gap effect.
    31. (1985). Theoretical interpretations of the speed and accuracy of positive and negative responses.
    32. (1988). Toward an instance theory of automatization.

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