A machine-learning-assisted progressive digit-randomness screening framework for detecting non-random patterns in raw numerical research data

📅 2026-06-05
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🤖 AI Summary
This study addresses the lack of effective methods for detecting potential fabrication or non-random patterns in raw numerical research data. To this end, it proposes a progressive digital randomness screening framework (FDRS) that integrates statistical tests with interpretable machine learning models—specifically elastic net logistic regression and random forests—to enable fine-grained risk assessment and stratification of datasets. The framework uniquely combines multidimensional features of decimal-digit structure, a progressive subsampling strategy, and metrics including univariate and joint digit tests, Cramér’s V, entropy, Kullback–Leibler divergence, and a digit preference index. In internal validation, FDRS achieves an AUC of 0.984 and accuracy of 92.7%, and demonstrates strong performance in distinguishing high- from low-risk real-world datasets, substantially enhancing the efficiency of manual verification.
📝 Abstract
Raw numerical datasets remain less systematically examined in integrity screening than images, plagiarism, or summary-statistic inconsistencies. We developed the Fabrication-risk Digit Randomness Screening model (FDRS), a statistical and machine-learning framework for detecting non-random digit-pattern irregularities in numerical research data. FDRS integrates single- and joint-decimal-digit tests, Cramer's V, entropy metrics, Kullback-Leibler divergence, digit-preference indices, progressive subsampling, and semi-supervised risk scoring. It was evaluated using an instrument-derived enzymatic absorbance dataset (RawData, n=253) and a blinded manually simulated irregular dataset (ErrData, n=255). RawData showed no significant deviation in single third-decimal-digit analysis, whereas ErrData showed a significant deviation. In joint third-fourth decimal digit analysis, ErrData showed higher Cramer's V, lower normalized entropy, higher KL divergence, and a more persistent progressive-subsampling deviation signal. In internal validation, Elastic-net Logistic Regression achieved the highest AUC (0.98395) and lowest Brier score (0.048439), while Random Forest achieved the highest accuracy (0.926667) and balanced accuracy (0.935). RawData received a low ensemble risk score of 0.124627 and was classified as Grade 0; ErrData received a score of 0.740760 and was classified as Grade 3. External real-world benchmarks supported graded risk stratification: three datasets without identified public post-publication concerns were classified as Grade 0 or 1, whereas two datasets from publicly questioned or institutionally handled articles were classified as Grade 2 or 3. FDRS can prioritize raw numerical datasets for further review by integrating interpretable statistical and machine-learning features. It is an auxiliary digit-structure screening tool, not standalone evidence of fabrication or misconduct.
Problem

Research questions and friction points this paper is trying to address.

data integrity
digit randomness
numerical data
fabrication detection
non-random patterns
Innovation

Methods, ideas, or system contributions that make the work stand out.

digit randomness
machine learning
data integrity
statistical screening
semi-supervised risk scoring
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Z
Zhuohua Cao
Key Laboratory of Natural Medicines of the Changbai Mountain, Ministry of Education, College of Pharmacy, Yanbian University, Yanji 133002, Jilin Province, China