Maximum-Likelihood Estimation of Noncompensatory IRT Models With the MH-RM Algorithm
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
In “compensatory” multidimensional item response theory (IRT) models, latent ability scores are typically assumed to be independent and combine additively to influence the probability of responding to an item correctly. However, testing situations arise where modeling an additive relationship between latent abilities is not appropriate or desired. In these situations, “noncompensatory” models may be better suited to handle this phenomenon. Unfortunately, relatively few estimation studies have been conducted using these types of models and effective estimation of the parameters by maximum-likelihood has not been well established. In this article, the authors demonstrate how noncompensatory models may be estimated with a Metropolis–Hastings Robbins–Monro hybrid (MH-RM) algorithm and perform a computer simulation study to determine how effective this algorithm is at recovering population parameters. Results suggest that although the parameters are not recovered accurately in general, the empirical fit was consistently better than a competing product-constructed IRT model and latent ability scores were also more accurately recovered.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.018 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it