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ERIC Number: EJ1203656
Record Type: Journal
Publication Date: 2019-Feb
Pages: 33
Abstractor: As Provided
ISSN: ISSN-1076-9986
Category-Level Model Selection for the Sequential G-DINA Model
Ma, Wenchao; de la Torre, Jimmy
Journal of Educational and Behavioral Statistics, v44 n1 p45-77 Feb 2019
Solving a constructed-response item usually requires successfully performing a sequence of tasks. Each task could involve different attributes, and those required attributes may be "condensed" in various ways to produce the responses. The sequential generalized deterministic input noisy "and" gate model is a general cognitive diagnosis model (CDM) for graded response items of this type. Although a host of dichotomous CDMs with different condensation rules can be used to parameterize the success probability of each task, specifying the most appropriate one remains challenging. If the CDM specified for each task is not in accordance with the underlying cognitive processes, the validity of the inference could be questionable. This study aims to evaluate whether several hypothesis tests, namely, the Wald test using various variance-covariance matrices, the likelihood ratio (LR) test, and the LR test using approximated parameters, can be used to select the appropriate CDMs for each task of graded response items. Simulation studies are conducted to examine the Type I error and power of the hypothesis tests under varied conditions. A data set from the Trends in International Mathematics and Science Study 2007 mathematics assessment is analyzed as an illustration.
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 8; Junior High Schools; Middle Schools; Elementary Education; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Assessments and Surveys: Trends in International Mathematics and Science Study