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ERIC Number: EJ1070318
Record Type: Journal
Publication Date: 2015-Aug
Pages: 25
Abstractor: As Provided
ISSN: ISSN-1076-9986
An Aggregate IRT Procedure for Exploratory Factor Analysis
Camilli, Gregory; Fox, Jean-Paul
Journal of Educational and Behavioral Statistics, v40 n4 p377-401 Aug 2015
An aggregation strategy is proposed to potentially address practical limitation related to computing resources for two-level multidimensional item response theory (MIRT) models with large data sets. The aggregate model is derived by integration of the normal ogive model, and an adaptation of the stochastic approximation expectation maximization algorithm is used for estimation. This methodology is used to conduct an exploratory factor analysis of the 2007 mathematics data from Trends in International Mathematics and Science Study (TIMSS) fourth grade to illustrate potential uses. A comparison to flexMIRT and two brief simulations indicate the aggregate model provides accurate estimates of Level 2 parameters despite loss of information ensuing from key assumption.
SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 4; Intermediate Grades; Elementary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Identifiers - Assessments and Surveys: Trends in International Mathematics and Science Study
Grant or Contract Numbers: 1028230