Mapping between Visual Analogue Scale and Standard Gamble data; results from the UK Health Utilities Index 2 valuation survey
Why this work is in the frame
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Bibliographic record
Abstract
We examine the relationship between Visual Analogue Scale (VAS) and Standard Gamble (SG) assumed in the development of the multiplicative multi-attribute utility functions (M-MAUFs) for the Health Utilities Index (HUI) Mark 2 and Mark 3, using data from a UK valuation study of the HUI2. A range of functional forms are considered, and are compared on the basis of their explanatory power and predictive ability.A restricted cubic function fits the data better than a power curve with a mean absolute error (MAE) of 0.025 and root mean square error (RMSE) of 0.029 compared to a MAE of 0.135 and RMSE of 0.135 for the power curve. The use of a cubic mapping function instead of a power function leads to different predicted health state values. We question the reliance on the assumption of a power curve relationship between VAS and SG data, in the Health Utilities Index valuation framework. Our results demonstrate that further work is required to examine the appropriateness of the published M-MAUFs for the Health Utilities Indices.
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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 | 0.054 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.002 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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