Validating Medical Treatment Effects by Projected F-tests under High Dimension with a Small Sample Size
Bibliographic record
Abstract
This paper introduces a statistical method for validating treatment effects in high-dimensional medical data with small sample sizes. The method compares multiple multivariate population means under multivariate normality, using spherical matrix distribution theory and principal component analysis (PCA) for dimension reduction. The resulting test statistic follows an exact F-distribution under the null hypothesis of equal means, even when the sample size is smaller than the data dimension. Unlike classical MANOVA, the approach does not require equal covariance matrices across groups, making it more robust for real-world biomedical data where variance-covariance homogeneity rarely holds. Monte Carlo simulations show the test achieves accurate type I error control and favorable power. Application to real medical datasets with high-dimensional biomarkers further demonstrates its practicality and interpretability. This work provides a rigorous and versatile advancement for high-dimensional inference in biomedical research and related fields.
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 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 | 0.066 | 0.345 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.003 |
| Bibliometrics | 0.003 | 0.002 |
| Science and technology studies | 0.001 | 0.006 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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.
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".