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Simultaneous Confidence Intervals and Regions

2017· other· en· W3157114989 on OpenAlexaff
Tuhao Chen, Fred M. Hoppe

Bibliographic record

VenueWiley StatsRef: Statistics Reference Online · 2017
Typeother
Languageen
FieldMathematics
TopicStatistical Methods in Clinical Trials
Canadian institutionsMcMaster University
Fundersnot available
KeywordsConfidence intervalConfidence distributionRobust confidence intervalsConfidence and prediction bandsCDF-based nonparametric confidence intervalStatisticsConfidence regionMathematicsCorrectnessInferenceRange (aeronautics)Computer scienceArtificial intelligenceAlgorithmEngineering

Abstract

fetched live from OpenAlex

Abstract Simultaneous confidence intervals constitute a confidence region for a vector of parameters, comprising individual intervals for the separate components, with a coverage confidence level of the simultaneous correctness of all the statements involved. The approach is delineated for multiple comparisons of treatment means with the methods of Bonferroni, Duncan, Scheffé, and Tukey, as specific examples. The applications of simultaneous confidence intervals to the inference of a therapeutic window or the reliability of composite systems necessitate the elucidation of multiple sets of simultaneous confidence intervals. Studies related to condensing infinite sets of simultaneous confidence intervals trigger a discussion on simultaneous confidence bands. Integrating the intrinsic information on the patterns or trends governing a set of simultaneous confidence intervals for the mean responses results in the methodology of range regression.

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)0.076
metaresearch head score (Gemma)0.359
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 score0.076
Threshold uncertainty score0.401

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0760.359
Meta-epidemiology (narrow)0.0030.001
Meta-epidemiology (broad)0.0040.004
Bibliometrics0.0090.008
Science and technology studies0.0010.014
Scholarly communication0.0100.011
Open science0.0060.007
Research integrity0.0040.009
Insufficient payload (model declined to judge)0.0130.003

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 head0.486
GPT teacher head0.552
Teacher spread0.065 · 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

Citations3
Published2017
Admission routes1
Has abstractyes

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