Psychometric Methods for Diagnostic Assessment and Dimensionality Representation
type: CreativeWork
description: A second part of the thesis investigates a new methodology for the representation of multidimensional test structure based on item-pair conditional covariances. The multidimensional ability composite best measured (in terms of information) for an item is sometimes regarded as the measurement direction of the item. We demonstrate how a directional representation of an item can be reconstructed on the basis of the item's pattern of conditional covariances with all of the other items on the test. A proximity measure for item pairs is derived, and circular and spherical scaling techniques are shown to provide a method by which the unique measurement directions of items might be recovered and represented. Several real and simulated data analyses suggest that the approach may be a useful tool for investigating and describing the dimensional structure of tests.
abstract: A second part of the thesis investigates a new methodology for the representation of multidimensional test structure based on item-pair conditional covariances. The multidimensional ability composite best measured (in terms of information) for an item is sometimes regarded as the measurement direction of the item. We demonstrate how a directional representation of an item can be reconstructed on the basis of the item's pattern of conditional covariances with all of the other items on the test. A proximity measure for item pairs is derived, and circular and spherical scaling techniques are shown to provide a method by which the unique measurement directions of items might be recovered and represented. Several real and simulated data analyses suggest that the approach may be a useful tool for investigating and describing the dimensional structure of tests.
author: Bolt, Daniel Marc
language: eng
keywords: Education, Tests and Measurements
date published: 2015-09-25T20:40:00Z
date modified: 2026-07-22T22:26:17Z
provider: University of Illinois - Urbana-Champaign
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: University of Illinois at Urbana-Champaign

PropertyValue
property ID: Handle
value: http://hdl.handle.net/2142/82261