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Karen Leary Duseau – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Assessment is a topic of concern to all stakeholders in our educational system. Pattern Based Questions are an assessment tool which is an alternative to the standardized assessment tool, and they are based on generative learning pedagogy, which shows promise in engaging all learners and usefulness in teaching and learning but validity has not yet…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Skills, Thinking Skills
Maria Bolsinova; Jesper Tijmstra; Leslie Rutkowski; David Rutkowski – Journal of Educational and Behavioral Statistics, 2024
Profile analysis is one of the main tools for studying whether differential item functioning can be related to specific features of test items. While relevant, profile analysis in its current form has two restrictions that limit its usefulness in practice: It assumes that all test items have equal discrimination parameters, and it does not test…
Descriptors: Test Items, Item Analysis, Generalizability Theory, Achievement Tests
Eray Selçuk; Ergül Demir – International Journal of Assessment Tools in Education, 2024
This research aims to compare the ability and item parameter estimations of Item Response Theory according to Maximum likelihood and Bayesian approaches in different Monte Carlo simulation conditions. For this purpose, depending on the changes in the priori distribution type, sample size, test length, and logistics model, the ability and item…
Descriptors: Item Response Theory, Item Analysis, Test Items, Simulation
Bruno D. Zumbo – International Journal of Assessment Tools in Education, 2023
In line with the journal volume's theme, this essay considers lessons from the past and visions for the future of test validity. In the first part of the essay, a description of historical trends in test validity since the early 1900s leads to the natural question of whether the discipline has progressed in its definition and description of test…
Descriptors: Test Theory, Test Validity, True Scores, Definitions
Sample Size and Item Parameter Estimation Precision When Utilizing the Masters' Partial Credit Model
Custer, Michael; Kim, Jongpil – Online Submission, 2023
This study utilizes an analysis of diminishing returns to examine the relationship between sample size and item parameter estimation precision when utilizing the Masters' Partial Credit Model for polytomous items. Item data from the standardization of the Batelle Developmental Inventory, 3rd Edition were used. Each item was scored with a…
Descriptors: Sample Size, Item Response Theory, Test Items, Computation
Stemler, Steven E.; Naples, Adam – Practical Assessment, Research & Evaluation, 2021
When students receive the same score on a test, does that mean they know the same amount about the topic? The answer to this question is more complex than it may first appear. This paper compares classical and modern test theories in terms of how they estimate student ability. Crucial distinctions between the aims of Rasch Measurement and IRT are…
Descriptors: Item Response Theory, Test Theory, Ability, Computation
Basman, Munevver – International Journal of Assessment Tools in Education, 2023
To ensure the validity of the tests is to check that all items have similar results across different groups of individuals. However, differential item functioning (DIF) occurs when the results of individuals with equal ability levels from different groups differ from each other on the same test item. Based on Item Response Theory and Classic Test…
Descriptors: Test Bias, Test Items, Test Validity, Item Response Theory
Miguel A. García-Pérez – Educational and Psychological Measurement, 2024
A recurring question regarding Likert items is whether the discrete steps that this response format allows represent constant increments along the underlying continuum. This question appears unsolvable because Likert responses carry no direct information to this effect. Yet, any item administered in Likert format can identically be administered…
Descriptors: Likert Scales, Test Construction, Test Items, Item Analysis
DeCarlo, Lawrence T. – Journal of Educational Measurement, 2023
A conceptualization of multiple-choice exams in terms of signal detection theory (SDT) leads to simple measures of item difficulty and item discrimination that are closely related to, but also distinct from, those used in classical item analysis (CIA). The theory defines a "true split," depending on whether or not examinees know an item,…
Descriptors: Multiple Choice Tests, Test Items, Item Analysis, Test Wiseness
Jianbin Fu; Xuan Tan; Patrick C. Kyllonen – Journal of Educational Measurement, 2024
This paper presents the item and test information functions of the Rank two-parameter logistic models (Rank-2PLM) for items with two (pair) and three (triplet) statements in forced-choice questionnaires. The Rank-2PLM model for pairs is the MUPP-2PLM (Multi-Unidimensional Pairwise Preference) and, for triplets, is the Triplet-2PLM. Fisher's…
Descriptors: Questionnaires, Test Items, Item Response Theory, Models
The Impact of Measurement Noninvariance across Time and Group in Longitudinal Item Response Modeling
In-Hee Choi – Asia Pacific Education Review, 2024
Longitudinal item response data often exhibit two types of measurement noninvariance: the noninvariance of item parameters between subject groups and that of item parameters across multiple time points. This study proposes a comprehensive approach to the simultaneous modeling of both types of measurement noninvariance in terms of longitudinal item…
Descriptors: Longitudinal Studies, Item Response Theory, Growth Models, Error of Measurement
Huang, Sijia; Luo, Jinwen; Cai, Li – Educational and Psychological Measurement, 2023
Random item effects item response theory (IRT) models, which treat both person and item effects as random, have received much attention for more than a decade. The random item effects approach has several advantages in many practical settings. The present study introduced an explanatory multidimensional random item effects rating scale model. The…
Descriptors: Rating Scales, Item Response Theory, Models, Test Items
Kylie Gorney; Sandip Sinharay – Educational and Psychological Measurement, 2025
Test-takers, policymakers, teachers, and institutions are increasingly demanding that testing programs provide more detailed feedback regarding test performance. As a result, there has been a growing interest in the reporting of subscores that potentially provide such detailed feedback. Haberman developed a method based on classical test theory…
Descriptors: Scores, Test Theory, Test Items, Testing
Xiaowen Liu – International Journal of Testing, 2024
Differential item functioning (DIF) often arises from multiple sources. Within the context of multidimensional item response theory, this study examined DIF items with varying secondary dimensions using the three DIF methods: SIBTEST, Mantel-Haenszel, and logistic regression. The effect of the number of secondary dimensions on DIF detection rates…
Descriptors: Item Analysis, Test Items, Item Response Theory, Correlation
Xiangyi Liao; Daniel M Bolt – Educational Measurement: Issues and Practice, 2024
Traditional approaches to the modeling of multiple-choice item response data (e.g., 3PL, 4PL models) emphasize slips and guesses as random events. In this paper, an item response model is presented that characterizes both disjunctively interacting guessing and conjunctively interacting slipping processes as proficiency-related phenomena. We show…
Descriptors: Item Response Theory, Test Items, Error Correction, Guessing (Tests)