Abstract

Cognitive diagnosis models (CDMs) are psychometric models developed mainly to assess examinees’ specific strengths and weaknesses of a set of skills or attributes within a domain. Recently, several methodological developments have been added to the CDM literature, which include the development of general and reduced CDMs, various absolute and relative fit measures at both the test and item levels, and a general Q-matrix validation procedure. Building on these developments, this research proposes a systematic procedure to diagnostically model extant large-scale assessment data. The procedure can be divided into four phases: construction of initial attributes and Q-matrices, construction of final attributes and Q-matrix, evaluation of reduced CDMs, and crossvalidation of the selected model. Working with language experts, we use data from the PISA 2000 reading assessment to illustrate the procedure.

Highlights

  • Cognitive diagnosis models (CDMs) are psychometric models developed mainly to assess examinees’ specific strengths and weaknesses, or mastery or nonmastery of a given set of skills or attributes within a domain

  • J. de la Torre ferent from conventional unidimensional item response models (IRMs) that rank examinees along a proficiency continuum, CDMs with latent classes are employed for the purpose of diagnosing the presence or absence of multiple fine-grained attributes

  • We found that large-scale assessments like the Programme for International Student Assessment (PISA), Trends in International Mathematics and Science Study (TIMSS), or the National Assessment of Educational Progress (NAEP) can be adapted

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Summary

Introduction

Cognitive diagnosis models (CDMs) are psychometric models developed mainly to assess examinees’ specific strengths and weaknesses, or mastery or nonmastery of a given set of skills or attributes within a domain. A Procedure for Diagnostically Modeling Extant Large-Scale Assessment Data: The Case of the Programme for International Student Assessment in Reading. J. de la Torre ferent from conventional unidimensional item response models (IRMs) that rank examinees along a proficiency continuum, CDMs with latent classes are employed for the purpose of diagnosing the presence or absence of multiple fine-grained attributes. Compared to the methodological developments, empirical applications of CDMs are still limited. Empirical examples were usually provided when developing the above methodologies, they were largely limited to the mathematics domain, the subtraction fraction data by Tatsuoka (1990). We proposed a systematic procedure of modeling extant large-scale assessments for diagnostic purpose by capitalizing on and integrating recent CDM developments. The paper concludes with a discussion of the results and some implications of this work

Q-Matrix and Required Attributes
Saturated and Reduced CDM
Model-Data Fit Evaluation
Systematic Modeling of Large-Scale Assessment
Data Description
Modeling Phase One
Modeling Phase Two
Modeling Phase Three
Modeling Phase Four
Findings
Discussions
Full Text
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