Fused SDT/IRT Models for Mixed-Format Exams
Bibliographic Data
| ID | 20283147 |
|---|---|
| Authors | Lawrence T DeCarlo (0000-0001-9510-0212, Teachers College, Columbia University, New York, NY, USA, corresponding author) |
| Year | 2024 |
| Volume | 84 |
| Issue | 6 |
| Pages | 1076-1106 |
| Publication date | 2024-12-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/00131644241235333 |
| PMID | 39484198 |
| OpenAlex | W4393264769 |
| Language | EN |
| Citations received | 1 |
| References cited | 39 |
A psychological framework for different types of items commonly used with mixed-format exams is proposed. A choice model based on signal detection theory (SDT) is used for multiple-choice (MC) items, whereas an item response theory (IRT) model is used for open-ended (OE) items. The SDT and IRT models are shown to share a common conceptualization in terms of latent states of “know/don’t know” at the examinee level. This in turn suggests a way to join or “fuse” the models—through the probability of knowing. A general model that fuses the SDT choice model, for MC items, with a generalized sequential logit model, for OE items, is introduced. Fitting SDT and IRT models simultaneously allows one to examine possible differences in psychological processes across the different types of items, to examine the effects of covariates in both models simultaneously, to allow for relations among the model parameters, and likely offers potential estimation benefits. The utility of the approach is illustrated with MC and OE items from large-scale international exams
Cognitive psychology · Conceptualization · Covariate · Developmental psychology · Econometrics · Item response theory · Logit · Psychometrics · Scale (ratio) · Statistics · Advanced Statistical Methods and Models · Artificial Intelligence · Computer Science · Mathematics · Psychology · Psychometric Methodologies and Testing · Reliability and Agreement in Measurement · Social Psychology
Statistical Theories of Mental Test Scores
Item Response Theory
Economic Choices
A law of comparative judgment.
The Role of the Scale Parameter in the Estimation and Comparison of Multinomial Logit Models
A Generalized Partial Credit Model
Mirt
A Hierarchical Framework for Modeling Speed and Accuracy on Test Items
Elementary Signal Detection Theory
Estimating item parameters and latent ability when responses are scored in two or more nominal categories
Detection Theory
| Unique citing works | 1 |
|---|---|
| Citations per year | 1 |
| Citation span | 2026 - 2026 (1) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 1 |