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Record W2056003895 · doi:10.1198/0003130032431

Detecting Dependence With Kendall Plots

2003· article· en· W2056003895 on OpenAlexaff
Christian Genest, Jean-Claude Boies

Bibliographic record

VenueThe American Statistician · 2003
Typearticle
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsNatural Sciences and Engineering Research Council of Canada
Fundersnot available
KeywordsPlot (graphics)Copula (linguistics)MathematicsBivariate analysisCurvatureStatisticsScatter plotMarginal distributionMultivariate normal distributionMultivariate statisticsEconometricsRandom variableGeometry

Abstract

fetched live from OpenAlex

Earlier literature proposed a rank-based graphical tool called a chi-plot which, in conjunction with a traditional scatterplot of the raw data, can help detect the presence of association in a random sample from some continuous bivariate distribution. This article suggests an alternative display called a Kendall plot, or K-plot for short, which adapts the concept of probability plot to the detection of dependence. The new procedure, which is rooted in the probability integral transformation, retains the chi-plot's key property of invariance with respect to monotone transformations of the marginal distributions. K-plots are easier to interpret than chi-plots, however, because the curvature that they display in cases of association is related in a definite way to the copula characterizing the underlying dependence structure. In addition, K-plots have the advantage of being readily extendible to the multivariate context.

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)0.009
metaresearch head score (Gemma)0.079
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 score0.009
Threshold uncertainty score0.050

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0090.079
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0070.006
Science and technology studies0.0010.002
Scholarly communication0.0040.004
Open science0.0010.003
Research integrity0.0010.002
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 head0.090
GPT teacher head0.410
Teacher spread0.320 · 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

Citations160
Published2003
Admission routes1
Has abstractyes

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