Joint Analysis of Longitudinal Proportional Measurements and Survival Times Based on Generalized Mean‐Variance Mixed Model and Cox Proportional Hazards Model
Bibliographic record
Abstract
ABSTRACT Longitudinal proportional data, which are restricted in a closed interval, are frequently observed together with survival data in clinical trials and other medical studies. In this paper, we propose a new model for the joint analysis of longitudinal proportional and survival data. This model uses generalized mean‐variance mixed model for longitudinal outcomes, which avoids parametric assumption for their distribution, and Cox proportional hazards model for survival times. A procedure is developed to estimate the parameters in the proposed model based on quasi‐likelihood for longitudinal data and partial likelihood for survival data with a Laplace approximation for the joint likelihood. A random weighting method is proposed to calculate the variance of these parameter estimators. The performance of the proposed model and estimation procedures are assessed through simulation studies and the application to the analysis of data from a randomized clinical trial on early breast cancer.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.029 | 0.037 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.003 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.003 | 0.002 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.002 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".