The comparative sensitivity of ordinal multiple regression and least squares regression to departures from interval scaling
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Bibliographic record
Abstract
The comparative sensitivity of ordinal multiple regression (OMR) and least squares regression (LSR) to criterion variable deviations from interval scaling was investigated by way of computer simulation. LSR on raw scores and ranks was compared to OMR on raw scores, ranks and dominances. Simulated data sets varied on predictor variable correlations, amount of prediction error, weight distinctiveness and shape of rating-scale distribution. The results indicated that LSR on raw scores was most affected by discretization in all conditions. In contrast, the performance of LSR approximated that of OMR when the data were first transformed to ranks. The poor performance of LSR on raw scores was most pronounced when the data discretization resulted in a symmetrical distribution. Predictor variable correlations and amount of prediction error did not affect the pattern of results. Weight distinctiveness did not interact with the other factors.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 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