The Application of Mean-Variance Relationships to General Recognition Theory

The Application of Mean-Variance Relationships to General Recognition Theory

Bibliographic Details
Main Author: Woodbury, George
Language:English
Published: Miami University / OhioLINK 2021
Subjects:
Cognitive Psychology
General Recognition Theory
cognitive modeling
perception
mean-variance relationships
generalized linear models
degrees of freedom
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=miami1632339743790322
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-miami16323397437903222021-09-29T05:10:27Z The Application of Mean-Variance Relationships to General Recognition Theory Woodbury, George Cognitive Psychology General Recognition Theory cognitive modeling perception mean-variance relationships generalized linear models degrees of freedom General Recognition Theory (GRT; Ashby & Townsend, 1986) is a theoretical framework for analyzing the perceptual and decisional processing of multidimensional stimuli. In-depth applications of GRT involve hierarchical modeling of the underlying perceptual distributions covering the theoretical decisional space. However, these models are not identifiable in the most fundamental GRT experimental design, the 2x2 feature-complete factorial design. The present work introduces the idea of mean-variance relationships into the GRT framework to address this degrees of freedom problem. This dissertation was separated into three sections. Section 1 focuses on establishing mean-variance relationships in perceptual and decisional processing and argues for the relevance of this concept in the GRT context. Key results include a rigorous definition for mean-variance relationships in GRT models and a specification of the form these relationships are expected to take (a power-law).Section 2 introduces two models into signal detection theory (SDT), the one-dimensional version of GRT. These models use the Poisson and Gamma distributions to exhibit mean-variance relationships. Keys results include the detailing of properties of these models important for GRT, a method for fitting these models using generalized linear models, and a demonstration of non-identifiability in one-interval designs. Section 3 expands the Poisson and Gamma SDT models into the GRT context and connects them to standard GRT concepts. Key results include a method to fit these models using vector generalized linear models (Yee, 2015) and a demonstration of the superior performance of these models on historical datasets. 2021-09-28 English text Miami University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=miami1632339743790322 http://rave.ohiolink.edu/etdc/view?acc_num=miami1632339743790322 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Cognitive Psychology
General Recognition Theory
cognitive modeling
perception
mean-variance relationships
generalized linear models
degrees of freedom
spellingShingle Cognitive Psychology
General Recognition Theory
cognitive modeling
perception
mean-variance relationships
generalized linear models
degrees of freedom

Woodbury, George
The Application of Mean-Variance Relationships to General Recognition Theory
author Woodbury, George
author_facet Woodbury, George
author_sort Woodbury, George
title The Application of Mean-Variance Relationships to General Recognition Theory
title_short The Application of Mean-Variance Relationships to General Recognition Theory
title_full The Application of Mean-Variance Relationships to General Recognition Theory
title_fullStr The Application of Mean-Variance Relationships to General Recognition Theory
title_full_unstemmed The Application of Mean-Variance Relationships to General Recognition Theory
title_sort application of mean-variance relationships to general recognition theory
publisher Miami University / OhioLINK
publishDate 2021
url http://rave.ohiolink.edu/etdc/view?acc_num=miami1632339743790322
work_keys_str_mv AT woodburygeorge theapplicationofmeanvariancerelationshipstogeneralrecognitiontheory
AT woodburygeorge applicationofmeanvariancerelationshipstogeneralrecognitiontheory
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