Bibliographic record
Abstract
Finding and analyzing Simpson's paradox, a well known statistical phenomenon, has found many applications. While the existing literature focuses on only analyzing the causes of identi ed Simpson's paradox, there is no systematic analysis on Simpson's paradox in multidimensional spaces. In this paper, we develop a simple yet practical approach to automatically identify all Simpson's paradox instances formed by various sub-populations and separator attributes in a multidimensional data set. Moreover, we analyze the distribution of the multidimensional Simpson's paradox instances on three real data sets with respect to dimensionality, size of sub-populations, participation of individual records, redundancy, and more. We obtain a series of interesting observations about a few questions that have never been asked before. The results open doors to a few interesting directions for future study. Moreover, this paper is an outcome from a high-school student summer research internship. It re ects our on-going e ort in promoting data science research to youth and high school students.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.008 | 0.072 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.005 | 0.004 |
| Science and technology studies | 0.003 | 0.004 |
| Scholarly communication | 0.005 | 0.008 |
| Open science | 0.002 | 0.004 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".