The thermodynamics of human reaction times

I present a new approach for the interpretation of reaction time (RT) data from behavioral experiments. From a physical perspective, the entropy of the RT distribution provides a model-free estimate of the amount of processing performed by the cognitive system. In this way, the focus is shifted from the conventional interpretation of individual RTs being either long or short, into their distribution being more or less complex in terms of entropy. The new approach enables the estimation of the cognitive processing load without reference to the informational content of the stimuli themselves, thus providing a more appropriate estimate of the cognitive impact of dierent sources of information that are carried by experimental stimuli or tasks. The paper introduces the formulation of the theory, followed by an empirical validation using a database of human RTs in lexical tasks (visual lexical decision and word naming). The results show that this new interpretation of RTs is more powerful than the traditional one. The method provides theoretical estimates of the processing loads elicited by individual stimuli. These loads sharply distinguish the responses from different tasks. In addition, it provides upper-bound estimates for the speed at which the system processes information. Finally, I argue that the theoretical proposal, and the associated empirical evidence, provide strong arguments for an adaptive system that systematically adjusts its operational processing speed to the particular demands of each stimulus. This finding is in contradiction with Hick's law, which posits a relatively constant processing speed within an experimental context.

[1]  Ferm'in Moscoso del Prado Mart'in,et al.  The baseline for response latency distributions , 2009, 0908.3432.

[2]  S HELLYER Stimulus-response coding and amount of information as determinants of reaction time. , 1963, Journal of experimental psychology.

[3]  Robert L. Mercer,et al.  An Estimate of an Upper Bound for the Entropy of English , 1992, CL.

[4]  E. Jaynes Information Theory and Statistical Mechanics , 1957 .

[5]  A. T. Welford,et al.  Comment on "Exceptions to Hick's law: Explorations with a response duration measure" (Longstreth, El-Zahhar, & Alcorn, 1985). , 1987 .

[6]  E. Parzen On Estimation of a Probability Density Function and Mode , 1962 .

[7]  W. E. Hick Quarterly Journal of Experimental Psychology , 1948, Nature.

[8]  R. Baayen,et al.  Mixed-effects modeling with crossed random effects for subjects and items , 2008 .

[9]  George Kingsley Zipf,et al.  Human behavior and the principle of least effort , 1949 .

[10]  Jeffrey N. Rouder,et al.  A hierarchical model for estimating response time distributions , 2005, Psychonomic bulletin & review.

[11]  Rebecca Treiman,et al.  The English Lexicon Project , 2007, Behavior research methods.

[12]  Fermín Moscoso del Prado Martín Co-Occurrence and the Effect of Inflectional Paradigms , 2007 .

[13]  L. E. Longstreth,et al.  Hick's Law versus a power law: Reply to Welford. , 1987 .

[14]  R. Baayen,et al.  Putting the bits together: an information theoretical perspective on morphological processing , 2004, Cognition.

[15]  R. Duncan Luce,et al.  Response Times: Their Role in Inferring Elementary Mental Organization , 1986 .

[16]  M. Newman Power laws, Pareto distributions and Zipf's law , 2005 .

[17]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[18]  D. Mewhort,et al.  Analysis of Response Time Distributions: An Example Using the Stroop Task , 1991 .

[19]  K H Norwich,et al.  An informational approach to reaction times. , 1989, Bulletin of mathematical biology.

[20]  F. Donders On the speed of mental processes. , 1969, Acta psychologica.

[21]  J. Kirkaldy,et al.  Thermodynamics of the human brain. , 1965, Biophysical journal.

[22]  Ronald Rosenfeld,et al.  A maximum entropy approach to adaptive statistical language modelling , 1996, Comput. Speech Lang..

[23]  Austin F. Frank,et al.  Analyzing linguistic data: a practical introduction to statistics using R , 2010 .

[24]  L. E. Longstreth,et al.  Exceptions to Hick's law: explorations with a response duration measure. , 1985, Journal of experimental psychology. General.

[25]  Edwin T. Jaynes Prior Probabilities , 2010, Encyclopedia of Machine Learning.

[26]  G. V. van Orden,et al.  Dispersion of response times reveals cognitive dynamics. , 2009, Psychological review.

[27]  R. Harald Baayen,et al.  Analyzing linguistic data: a practical introduction to statistics using R, 1st Edition , 2008 .

[28]  A. Kostić,et al.  Informational approach to the processing of inflected morphology: Standard data reconsidered , 1991 .

[29]  David A. Balota,et al.  Beyond mean response latency: Response time distributional analyses of semantic priming , 2008 .

[30]  Roger Ratcliff,et al.  A Theory of Memory Retrieval. , 1978 .

[31]  Huaiyu Zhu On Information and Sufficiency , 1997 .

[32]  R. Harald Baayen,et al.  Morphological structure in language processing , 2003 .

[33]  R. Shillcock,et al.  Rethinking the Word Frequency Effect: The Neglected Role of Distributional Information in Lexical Processing , 2001, Language and speech.

[34]  R. Baayen,et al.  Morphological influences on the recognition of monosyllabic monomorphemic words , 2006 .

[35]  L. Brillouin,et al.  Science and information theory , 1956 .

[36]  T. Zandt Analysis of Response Time Distributions , 2002 .

[37]  Alexander Borst,et al.  Information theory and neural coding , 1999, Nature Neuroscience.

[38]  Kenneth H. Norwich,et al.  Information, sensation, and perception , 1993 .

[39]  R. H. Baayen,et al.  The CELEX Lexical Database (CD-ROM) , 1996 .

[40]  Fermín Moscoso del Prado Martín,et al.  The simultaneous effects of inflectional paradigms and classes on lexical recognition: Evidence from Serbian , 2009 .

[41]  R. Hyman Stimulus information as a determinant of reaction time. , 1953, Journal of experimental psychology.