The general-gamma distribution and reaction times☆
References (34)
A stochastic model for individual choice behavior
Psychol. Rev
(1960)An introduction to stochastic processes
(1955)The solution of a system of differential equations occurring in the theory of radioactive transformations
Elements of the theory of Markov processes and their applications
(1960)- et al.
Stochastic models for learning
(1955) Variation des temps de réaction auditifs en fonction de l'intensité a diverse fréquences
Année Psychol
(1940)- et al.
- et al.
Decision structure and time relations in simple choice behavior
Bull. math. Biophys
(1956) An analysis of some failure data
J. Amer. statist. Assn
(1952)The application of the theory of probability in telephone administration
On the theory of stochastic processes with particular reference to applications
An introduction to the theory of probability and its applications
Psychoacoustics and detection theory
J. acoust. Soc. Amer
Simple reaction time: a case in signal detection
The behavioral effects of some temporally defined schedules of reinforcement
J. exp. anal. Behav
Methods of mathematical physics
An elucidation of Erlang's statistical works through the theory of stochastic processes
Cited by (107)
Gray matter analysis of MRI images: Introduction to current research practice
2021, Encyclopedia of Behavioral Neuroscience: Second EditionCan the wrong horse win: The ability of race models to predict fast or slow errors
2020, Journal of Mathematical PsychologyCitation Excerpt :This intuition would be misguided as we shall shortly bear witness. Poisson counting models with their twin processing time distributions, the gamma waiting time densities, have historically been highly popular among theorists (e.g., Luce, 1986; McGill, 1963; McGill & Gibbon, 1965; Smith & Van Zandt, 2000; Townsend & Ashby, 1983). The general gamma distributions, elicited by letting the processing rates differ among channels or items have also proven valuable though not so prevalent as the ordinary variety (e.g., Colonius & Vorberg, 1994; McGill, 1963; Townsend & Ashby, 1983).
Conflict processing in kindergarten children: New evidence from distribution analyses reveals the dynamics of incorrect response activation and suppression
2019, Journal of Experimental Child PsychologyCitation Excerpt :A first type of analysis consists in fitting statistical non-Gaussian distributions to the acquired data. Different theoretical distributions have been used such as the log-normal (Ulrich & Miller, 1993), ex-Gaussian (Burbeck & Luce, 1982; Hohle, 1965), gamma (McGill & Gibbon, 1965), and Weibull (Logan, 1988) distributions. After having fitted the chosen distribution, one can then average the parameters across participants and create an “average” distribution representative of all the participants.
- ☆
This paper was begun in a graduate seminar at Columbia University, extended and revised at Lincoln Laboratory in Lexington, Massachusetts, Columbia University, and at the Institute for Mathematical Studies in the Social Sciences at Stanford University. The work was supported by AFC 49(638)-1253.
- 2
Special NIMH Fellow at the Institute for Mathematical Studies in the Social Sciences, Stanford University, 1963-64.