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  Application of Monte Carlo Methods to Psychometric Function Fitting

Wichmann, F. (2002). Application of Monte Carlo Methods to Psychometric Function Fitting. In 33rd European Conference on Mathematical Psychology (EMPG 2002) (pp. 44).

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-E11B-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A537-3
Genre: Meeting Abstract

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Wichmann, FA1, 2, Author              
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: The psychometric function relates an observer's performance to an independent variable, usually some physical quantity of a stimulus in a psychophysical task. Here I describe methods to (1) fitting psychometric functions, (2) assessing goodness-of-fit, and (3) providing confidence intervals for the function's parameters and other estimates derived from them. First I describe a constrained maximum-likelihood method for parameter estimation. Using Monte-Carlo simulations I demonstrate that it is important to have a fitting method that takes stimulus-independent errors (or "lapses") into account. Second, a number of goodness-of-fit tests are introduced. Because psychophysical data sets are usually rather small I advocate the use of Monte Carlo resampling techniques that do not rely on asymptotic theory for goodness-of-fit assessment. Third, a parametric bootstrap is employed to estimate the variability of fitted parameters and derived quantities such as thresholds and slopes. I describe how the bootstrap bridging assumption, on which the validity of the procedure depends, can be tested without incurring too high a cost in computation time. Finally I describe how the methods can be extended to test hypotheses concerning the form and shape of several psychometric functions. Software describing the methods is available (http://www.bootstrap-software.com/psignifit/), as well as articles describing the methods in detail (WichmannHill, PerceptionPsychophysics, 2001a,b).

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 Dates: 2002-08
 Publication Status: Published online
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 Rev. Type: -
 Identifiers: BibTex Citekey: 1896
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Title: 33rd European Conference on Mathematical Psychology (EMPG 2002)
Place of Event: Bremen, Germany
Start-/End Date: 2002-08-21 - 2002-08-24

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Title: 33rd European Conference on Mathematical Psychology (EMPG 2002)
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 44 Identifier: -