On the Mistaken Use of the Chi-Square Test in Benford’s Law

Benford’s Law predicts that the first significant digit on leftmost side of numbers in real-life data is distributed between all possible 1 to 9 digits approximately as LOG(1 + 1/digit), so low occur much more frequently than high place. Typically researchers, analysts, and statisticians, rush apply chi-square test order verify compliance or deviation from this statistical law. In almost cases approach mistaken without mathematical-statistics basis, yet it had become a dogma rather an impulsive ritual field for whatever set researcher considering, regardless its true applicability. The use has led confusion many errors, done lot general undermine trust confidence whole discipline Law. This article attempt correct course bring rationality which demonstrated harmony consistency results, manifestations, explanations. research question demonstrates sets typically do not arise random independent selections points some larger universe parental supposes, conclusion arrived at by examining how several are formed obtained. second actually about reasonableness selection process Benford status solely under consideration, since focus exclusively whether entire was probable too rare. addition, comparison statistic with Sum Squared Deviations (SSD) measure distance explored article, pitting one against other, concluding strong preference SSD measure.