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The Lognormal Race: A Cognitive-Process Model of Choice and Latency with Desirable Psychometric Properties

journal contribution
posted on 2023-05-18, 08:14 authored by Rouder, JN, Morey, RN, Gomez, PI, Heathcote, A
We present a cognitive process model of response choice and response time performance data that has excellent psychometric properties and may be used in a wide variety of contexts. In the model there is an accumulator associated with each response option. These accumulators have bounds, and the first accumulator to reach its bound determines the response time and response choice. The times at which accumulator reaches its bound is assumed to be lognormally distributed, hence the model is race or minima process among lognormal variables. A key property of the model is that it is relatively straightforward to place a wide variety of models on the logarithm of these finishing times including linear models, structural equation models, autoregressive models, growth-curve models, etc. Consequently, the model has excellent statistical and psychometric properties and can be used in a wide range of contexts, from laboratory experiments to high-stakes testing, to assess performance. We provide a Bayesian hierarchical analysis of the model, and illustrate its flexibility with an application in testing and one in lexical decision making, a reading skill.

History

Publication title

Psychometrika

Volume

80

Pagination

491-513

ISSN

0033-3123

Department/School

Tasmanian School of Medicine

Publisher

Psychometric Soc

Place of publication

College Of William And Mary Dept Psychology, Williamsburg, USA, Va, 23185

Rights statement

Copyright 2014 The Psychometric Society

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in psychology

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