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Record W3030594160 · doi:10.22215/etd/2014-10562

Statistical Inference in the Presence of Missing Data

2014· dissertation· en· W3030594160 on OpenAlex
Malgorzata Winiszewska

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

Venuenot available
Typedissertation
Languageen
FieldMathematics
TopicStatistical Methods and Bayesian Inference
Canadian institutionsCarleton University
Fundersnot available
KeywordsMissing dataEstimatorStatisticsGoodness of fitImputation (statistics)InferenceBinary dataStatisticMathematicsStatistical inferenceTest statisticPopulationEconometricsComputer scienceStatistical hypothesis testingBinary numberArtificial intelligence

Abstract

fetched live from OpenAlex

In this thesis, we study statistical inference in the presence of missing data. In Chapters 2-4, we obtain asymptotically valid imputed estimators for the population mean, distribution function and correlation coefficient, and propose adjustments to Shao and Sitter (1996) bootstrap confidence intervals under imputation for missing data. We show that the adjusted bootstrap estimators should be used with bootstrap data obtained by imitating the process of imputing the original data set. In Chapter 5, we establish a goodness-of-fit test that can be applied to the case of longitudinal data with missing at random (MAR) observations, by combining the concepts of weighted generalized estimating equations (Robins et al., 1995) and score test statistic for goodness-of-fit (Hosmer and Lemeshow, 1980; Horton et al., 1999). We show that the proposed goodness-of-fit method that incorporates the missingness process should be used when dealing with intermittent missingness. In Chapter 6, we study a conditional model for a mixture of correlated, discrete and continuous, outcomes and apply the likelihood method to MAR data. We conduct a simulation study to compare the performance of estimators resulting from the joint model with estimators based on separate models for binary and continuous outcomes. We show that when all data are observed, adopting the mixed model does not lead to notable improvements; on the contrary, under a scenario with binary MAR data, the joint model performs significantly better.

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)0.002
metaresearch head score (Gemma)0.030
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMetaresearch
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 score0.113
Threshold uncertainty score0.978

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.030
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.000

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 head0.168
GPT teacher head0.476
Teacher spread0.309 · 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