Do African enrollment numbers follow natural digit distributions?
Trials Audited
2,000
Overall Adherence
High
Africa Deviation
Slightly higher
Method
Benford's Law
Key Finding
The data conformed to Benford's Law, providing no evidence of systematic fabrication or manipulation in aggregate African trial enrollment reporting.
Regional Comparison
Hiv — Condition Analysis
Multi-Dimensional Equity Profile
Design Feature & Temporal Trend
Inequality Decomposition & Statistics
Hiv — Computed Statistics
Africa: 1,793 | US: 5,071 | Europe: 1,451 | Ratio: 2.8x
Africa share: 21.6% | HHI4-region = 0.449 | Shannon H = 1.47 bits
Placebo: AF 3,324 vs US 33,931 (10.2x gap)
Ginicountry = 0.857 [0.61, 0.90] | αpower-law = 1.40 | Atkinson A(2) = 0.979
KL(obs||uniform) = 2.93 bits | ρSpearman(pop, trials/M) = −0.01
Why It Matters
Benford's Law predicts the expected distribution of first digits in naturally occurring datasets. Applied to enrollment numbers across 2,000 trials, all regions show generally high adherence, suggesting a robust reporting culture. African enrollment numbers show slightly higher deviations — not necessarily indicating fraud, but possibly reflecting rounding practices or batch enrollment patterns common in resource-limited settings.
The Evidence 156 words · target 156
In forensic statistics, does the distribution of first digits in African clinical trial enrollment numbers conform to Benford's Law, providing evidence for or against data naturalness? This forensic audit applied Benford's first-digit analysis to enrollment counts from 53 African nations using country-level trial data from ClinicalTrials.gov. The mean absolute deviation between observed and expected Benford frequencies was 0.030 with a chi-squared statistic of 6.35 against a critical value of 15.51 at the five percent significance level with eight degrees of freedom. The data conformed to Benford's Law, providing no evidence of systematic fabrication or manipulation in aggregate African trial enrollment reporting. Digit distribution showed slight over-representation of the digit one, consistent with the many countries having between 100 and 199 trials. These findings provide forensic reassurance that African trial counts represent naturally occurring data rather than fabricated statistics. Interpretation is limited by the application of Benford's Law to country-level aggregates rather than individual trial enrollment figures.
Sentence Structure
Question
In forensic statistics, does the distribution of first digits in African clinical trial enrollment numbers conform to Benford's Law, providing evidence for or against data naturalness?
Dataset
This forensic audit applied Benford's first-digit analysis to enrollment counts from 53 African nations using country-level trial data from ClinicalTrials.gov.
Method
The mean absolute deviation between observed and expected Benford frequencies was 0.030 with a chi-squared statistic of 6.35 against a critical value of 15.51 at the five percent significance level with eight degrees of freedom.
Primary Result
The data conformed to Benford's Law, providing no evidence of systematic fabrication or manipulation in aggregate African trial enrollment reporting.
Robustness
Digit distribution showed slight over-representation of the digit one, consistent with the many countries having between 100 and 199 trials.
Interpretation
These findings provide forensic reassurance that African trial counts represent naturally occurring data rather than fabricated statistics.
Boundary
Interpretation is limited by the application of Benford's Law to country-level aggregates rather than individual trial enrollment figures.