A Mixture IRTree Model for Performance Decline and Nonignorable Missing Data

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Bibliographic Details
Title: A Mixture IRTree Model for Performance Decline and Nonignorable Missing Data
Language: English
Authors: Huang, Hung-Yu (ORCID 0000-0001-6244-1950)
Source: Educational and Psychological Measurement. Dec 2020 80(6):1168-1195.
Availability: SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Peer Reviewed: Y
Page Count: 28
Publication Date: 2020
Document Type: Journal Articles
Reports - Research
Education Level: Secondary Education
Descriptors: Item Response Theory, Response Style (Tests), Test Items, Statistical Analysis, Bayesian Statistics, Achievement Tests, Foreign Countries, International Assessment, Secondary School Students
Assessment and Survey Identifiers: Program for International Student Assessment
DOI: 10.1177/0013164420914711
ISSN: 0013-1644
Abstract: In educational assessments and achievement tests, test developers and administrators commonly assume that test-takers attempt all test items with full effort and leave no blank responses with unplanned missing values. However, aberrant response behavior--such as performance decline, dropping out beyond a certain point, and skipping certain items over the course of the test--is inevitable, especially for low-stakes assessments and speeded tests due to low motivation and time limits, respectively. In this study, test-takers are classified as normal or aberrant using a mixture item response theory (IRT) modeling approach, and aberrant response behavior is described and modeled using item response trees (IRTrees). Simulations are conducted to evaluate the efficiency and quality of the new class of mixture IRTree model using WinBUGS with Bayesian estimation. The results show that the parameter recovery is satisfactory for the proposed mixture IRTree model and that treating missing values as ignorable or incorrect and ignoring possible performance decline results in biased estimation. Finally, the applicability of the new model is illustrated by means of an empirical example based on the Program for International Student Assessment.
Abstractor: As Provided
Entry Date: 2020
Accession Number: EJ1269525
Database: ERIC
Description
Abstract:In educational assessments and achievement tests, test developers and administrators commonly assume that test-takers attempt all test items with full effort and leave no blank responses with unplanned missing values. However, aberrant response behavior--such as performance decline, dropping out beyond a certain point, and skipping certain items over the course of the test--is inevitable, especially for low-stakes assessments and speeded tests due to low motivation and time limits, respectively. In this study, test-takers are classified as normal or aberrant using a mixture item response theory (IRT) modeling approach, and aberrant response behavior is described and modeled using item response trees (IRTrees). Simulations are conducted to evaluate the efficiency and quality of the new class of mixture IRTree model using WinBUGS with Bayesian estimation. The results show that the parameter recovery is satisfactory for the proposed mixture IRTree model and that treating missing values as ignorable or incorrect and ignoring possible performance decline results in biased estimation. Finally, the applicability of the new model is illustrated by means of an empirical example based on the Program for International Student Assessment.
ISSN:0013-1644
DOI:10.1177/0013164420914711