Statistical inference using generalized linear mixed models under informative cluster sampling
Why this work is in the frame
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Bibliographic record
Abstract
Abstract When a sample is obtained from a two‐stage cluster sampling scheme with unequal selection probabilities the sample distribution can differ from that of the population and the sampling design can be informative. In this case making valid inference under generalized linear mixed models can be quite challenging. We propose a novel approach for parameter estimation using an EM algorithm based on the approximate predictive distribution of the random effect. In the approximate predictive distribution instead of using the intractable sample likelihood function we use a normal approximation of the sampling distribution of the profile pseudo maximum likelihood estimator of the random effects in the level‐one model. Two limited simulation studies show that the proposed method using the normal approximation performs well for modest cluster sizes. The proposed method is applied to the real data arising from 2011 Private Education Expenditures Survey (PEES) in Korea. The Canadian Journal of Statistics 45: 479–497; 2017 © 2017 Statistical Society of Canada
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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 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 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