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Record W2042209726 · doi:10.1198/jasa.2009.tm09124

Linear Mixed-Effects Modeling by Parameter Cascading

2010· article· en· W2042209726 on OpenAlexaff
Jiguo Cao, J. O. Ramsay

Bibliographic record

VenueJournal of the American Statistical Association · 2010
Typearticle
Languageen
FieldMathematics
TopicStatistical Methods and Inference
Canadian institutionsSimon Fraser University
Fundersnot available
KeywordsNuisance parameterSmoothingMathematical optimizationComputationComputer scienceMaximizationBasis (linear algebra)Estimation theorySimple (philosophy)AlgorithmMathematicsApplied mathematicsStatistics

Abstract

fetched live from OpenAlex

A linear mixed-effects model (LME) is a familiar example of a multilevel parameter structure involving nuisance and structural parameters, as well as parameters that essentially control the model’s complexity. Marginalization over nuisance parameters, such as the restricted maximization likelihood method, has been the usual estimation strategy, but it can involve onerous and complex algorithms to achieve the integrations involved. Parameter cascading is described as a multicriterion optimization algorithm that is relatively simple to program and leads to fast and stable computation. The method is applied to LME, where well-developed marginalization methods are already available. Our results suggest that parameter cascading is at least as good as, if not better than, the available methods. We also extend the LME model to multicurve data smoothing by introducing a basis partitioning scheme and defining roughness penalty terms for both functional fixed effect and random effects. The results are substantially better than those obtained by using the previous LME methods. A supplemental document is available online.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.024
metaresearch head score (Gemma)0.056
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.024
Threshold uncertainty score0.127

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0240.056
Meta-epidemiology (narrow)0.0020.002
Meta-epidemiology (broad)0.0030.005
Bibliometrics0.0020.003
Science and technology studies0.0010.002
Scholarly communication0.0020.003
Open science0.0050.004
Research integrity0.0030.005
Insufficient payload (model declined to judge)0.0100.002

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.

Opus teacher head0.028
GPT teacher head0.356
Teacher spread0.329 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

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".

Quick stats

Citations25
Published2010
Admission routes1
Has abstractyes

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