Volume no :41, Issue no: 1, September 2016

BENFORD'S LAW AND HOSMER-LEMESHOW TEST

Author's: Zoran Jasak
Pages: [57] - [73]
Received Date: September 18, 2016
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121718

Abstract

Benford’s law is logarithmic law for distribution of leading digits. It’s named by Frank Albert Benford [2] who formulated mathematical model. Before him, the same observation was made by Simon Newcomb. This law has changed usual preassumption of equal probability of each digit on each position in number. Testing procedure by Hosmer-Lemeshow test for Benford’s law is presented. Such test can be, particularly, used to detect anomalies in samples of two or more partitions.

Keywords

Benford’s law, Hosmer-Lemeshow test, data partitions, decils.