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Record W2939448902 · doi:10.32469/10355/37834

Statistical analysis of length-biased and right-censored data

2013· dissertation· en· W2939448902 on OpenAlexaboutno aff
Na Hu

Bibliographic record

Venuenot available
Typedissertation
Languageen
FieldMathematics
TopicStatistical Methods and Inference
Canadian institutionsnot available
Fundersnot available
KeywordsStatisticsCovariateEconometricsMissing dataPopulationSampling (signal processing)Context (archaeology)Nonparametric statisticsInverse probabilityInverse probability weightingParametric statisticsProportional hazards modelComputer scienceEstimatorMathematicsBayesian probabilityGeographyPosterior probability

Abstract

fetched live from OpenAlex

[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Biased sampling arises when the observations are not randomly selected from the target population. When the sampling probability is proportional to the underlying outcome of interest, this is known as length-biased sampling. Length-biased sampling has been well recognized in economics, industrial reliability, etiology applications, epidemiological studies and cancer screening trials. Right-censored time-to-event data are often observed from a cohort of prevalent cases that are subject to length-biased sampling, which are termed as length-biased and right-censored data. It has a unique data structure different from traditional survival data and thus requires different inference methods for both nonparametric and semiparametric estimations. In this thesis, we will exploit these unique aspects and discuss the statistical analysis of length-biased and right-censored data. The first part of this dissertation discusses a goodness-of-fit test for checking the parametric model with length-biased and right-censored data. The second part of this dissertation considers the regression analysis of length-biased and right-censored data in the context of the novel two sample short-term and long-term hazard ratios model. The third part of this dissertation proposes an inverse probability weighted (IPW) method and a reweighted method for estimating the regression parameters in the Cox model with missing covariates under length-biased sampling. The performance of the proposed approaches are demonstrated through simulation studies and we apply the approaches to the survival data from the Canadian Study of Health and Aging(CSHA).

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 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 categoriesInsufficient payload (model declined to judge)
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 score0.227
Threshold uncertainty score0.991

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.005
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0100.000

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 head0.121
GPT teacher head0.429
Teacher spread0.308 · 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 teacher head, not a consensus.

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

Citations0
Published2013
Admission routes1
Has abstractyes

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