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Record W1992410926 · doi:10.1002/cjs.10055

Inferences in generalized linear longitudinal mixed models

2010· article· en· W1992410926 on OpenAlexafffundvenueabout
Brajendra C. Sutradhar

Bibliographic record

VenueCanadian Journal of Statistics · 2010
Typearticle
Languageen
FieldMathematics
TopicStatistical Methods and Bayesian Inference
Canadian institutionsMemorial University of Newfoundland
FundersNatural Sciences and Engineering Research Council of Canada
KeywordsMathematicsGeneralized estimating equationCovariateStatisticsGeneralized linear modelGeneralizationCorrelationGeneralized linear mixed modelMoment (physics)Contrast (vision)EconometricsMixed modelBinary dataRegressionRegression analysisEstimating equationsLinear modelBinary numberMaximum likelihoodMathematical analysisComputer science

Abstract

fetched live from OpenAlex

Abstract Without realizing the fact that the time‐dependent covariates corresponding to the repeated discrete responses under a generalized linear longitudinal model (GLLM) cause non‐stationary (time dependent) correlations for the repeated responses, many existing studies use a stationary (either “working” or true) correlation structure to develop certain estimating equations for the regression effects involved in the model. By constructing suitable non‐stationary correlation structures both for longitudinal count and binary data, this article first demonstrates that the stationary correlations based estimation approaches may yield inefficient regression estimates. For efficient estimation, the article then suggests a true non‐stationary correlation structure based generalized quasi‐likelihood (GQL) estimation approach, where non‐stationary correlation structure is identified by exploiting the estimated lag correlations of the responses. A generalization of the GLLM to the familial‐longitudinal set up both for count and binary data is also discussed, where the data exhibit familial as well as non‐stationary longitudinal correlations, the familial correlations among the responses of the family members are being generated through a random common family effect. The GQL estimating equations are provided for the estimation of the regression and the variance component parameters of this generalized linear longitudinal mixed model (GLLMM), whereas the longitudinal correlations are estimated by solving suitable moment estimating equations. The Canadian Journal of Statistics 38: 174–196; 2010 © 2010 Statistical Society of Canada

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)0.085
metaresearch head score (Gemma)0.329
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: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.085
Threshold uncertainty score0.448

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0850.329
Meta-epidemiology (narrow)0.0020.002
Meta-epidemiology (broad)0.0040.004
Bibliometrics0.0050.006
Science and technology studies0.0010.004
Scholarly communication0.0040.005
Open science0.0050.004
Research integrity0.0020.004
Insufficient payload (model declined to judge)0.0070.001

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 head0.102
GPT teacher head0.349
Teacher spread0.247 · 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

Citations29
Published2010
Admission routes4
Has abstractyes

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