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Negative Binomial Regression

2020· other· en· W3026934696 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueWiley StatsRef: Statistics Reference Online · 2020
Typeother
Languageen
FieldMathematics
TopicStatistical Methods and Bayesian Inference
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsCount dataNegative binomial distributionPoisson regressionPoisson distributionQuasi-likelihoodOverdispersionStatisticsZero-inflated modelEconometricsGeneralizationBinomial distributionGeneralized linear modelMathematicsMedicinePopulation

Abstract

fetched live from OpenAlex

Abstract Count data occur commonly in very many fields. Some examples include seizures, asthma attacks, days of absence from work, annual forest fires in a region, insurance claims in a portfolio, or recurrences of cancer. The basic count model is the Poisson process, a model that forms a foundation upon which several other count models can be linked, as extensions in some manner. These extensions address departures from assumptions underpinning the Poisson model. The negative binomial distribution is a widely used count model that can, to some extent, address some of the violations of assumptions of Poisson models. Because of its flexibility, it is commonly used in statistical applications. In this article, we provide an overview of negative binomial regression and outline both maximum likelihood and robust estimation. We discuss how the negative binomial model is a generalization of the Poisson and provide an example that considers recurrence of bladder cancer tumors.

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.

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.005
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
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 score0.353
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.005
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0130.000

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.

Opus teacher head0.109
GPT teacher head0.404
Teacher spread0.296 · 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