JSM 2005 - Toronto

Abstract #303493

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Activity Number: 35
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #303493
Title: Comparison of the Performance of Simple Structure Indices: The DETECT R-ratio, Bentler's Simplicity Index, and the Loading Simplicity Index
Author(s): Holmes Finch*+ and Kirk Stage
Companies: Ball State University and Ball State University
Address: Department of Educational Psychology, Muncie, IN, 47306, United States
Keywords: simple structure ; Factor Analysis ; DETECT ; Item Response Theory
Abstract:

Multidimensionality refers to the case where a set of test items measures multiple cognitive domains. This issue is important for psychometricians because the statistical tools used to analyze item responses assume a test measures only one domain. When items measure more than one domain, it is of interest to know if they exhibit simple structure (i.e., are related to only one of these domains). This study uses a Monte Carlo simulation to compare three statistics for assessing the degree of simple structure present in a set of items: Bentler's Simplicity Index (S), the Loading Simplicity Index (LS), and the DETECT r-ratio. S and LS are based on factor analysis, while the r-ratio uses item covariances conditioned on examinee ability. The study varies number of items, number of examinees, interfactor correlation, and degree of simple structure. The outcome of interest is the proportion of cases in which the underlying structure (simple or nonsimple) is correctly identified by the statistics of interest. Preliminary results suggest S and the r-ratio generally perform well in most cases, while LS typically has difficulty correctly identifying simple structure.

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Revised March 2005