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Visual PsychophysicsFrom Laboratory to Theory$
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Zhong-Lin Lu and Barbara Dosher

Print publication date: 2013

Print ISBN-13: 9780262019453

Published to MIT Press Scholarship Online: May 2014

DOI: 10.7551/mitpress/9780262019453.001.0001

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PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 20 September 2021

Data Analysis and Modeling

Data Analysis and Modeling

Chapter:
(p.301) 10 Data Analysis and Modeling
Source:
Visual Psychophysics
Author(s):

Zhong-Lin Lu

Barbara Dosher

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262019453.003.0010

This chapter provides a guidebook to the basic issues in quantitative data analysis and modeling. It shows how we test the quality of a model and fit the model to observed data. The quality of a model or theory includes qualitative assessments related to internal consistency, breadth of application, and the ability to make new and useful predictions. Another assessment of the quality of a model is its ability to predict or fit the observed behavioral data in relevant domains quantitatively. Two criteria for fitting a model to data are considered, a least-squared error criterion and a maximum likelihood criterion, along with methods of estimating the best-fitting parameters of the models. Bootstrap methods are used to estimate the variability of derived data and model parameters. Several methods of comparing and selecting between models are considered. The chapter uses typical psychophysical testing situations to illustrate several standard applications of these methods of data analysis and modeling.

Keywords:   Modeling visual functions, Model applicability, Model fitting criteria, Error function, Least-squared error, Maximum likelihood, Parameter estimation, Parameter variability, Bootstrap methods, Model selection

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