A simulation study of the second-order least squares estimators for nonlinear mixed effects models
Bibliographic record
Abstract
The main approach for the estimation of nonlinear mixed effects models fo- cuses on the maximum likelihood method.Given the current computing capacity, intensive numerical integratíon often makes exact maximum likelihood estimation impractical.Wang (2005) proposed the second-order least squares estimators for nonlinear mixed effects models based on the first two conditional moments of the response variable given the observed predictor variables.In this thesis, we present numerical examples demonstrating that Wang's (2005) second-order least squares estimators are computationally feasible and practical.In particular, we show how Wang's (2005) algorithm can be imple- mented in the statistical computing language R. Finally, we investigate the flnite sample properties of the second-order least squares estimators through simulation studies.I also wish to thank Dr. James C. Fu and Dr. Wendy Y. Lou who shared with me their knowledge and ideas,
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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 | 0.026 | 0.067 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.002 | 0.002 |
| Insufficient payload (model declined to judge) | 0.006 | 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".