Analytical Features
Analytical software to enable analysis of conformity with Benford's Law is provided at no charge or obligation.  By using scripts, the software enables the following features:

Feature

Description

Metric

First Digit Analysis

Compare actual versus expected frequency of leading digit, quantify results

Kolmogorov-Smirnov (KS)

First Two Digits

Compare actual versus expected frequency of first two digits, quantify results

Kolmogorov-Smirnov (KS)

First Three Digits

Compare actual versus expected frequency of first three digits, quantify results

Kolmogorov-Smirnov (KS)

Second Digit

Compare actual versus expected frequency of the second digit

Kolmogorov-Smirnov (KS)

Last Two digits of three

Of the first three digits, obtain the distribution of the last two digits of the three

Kolmogorov-Smirnov (KS)

Last Digit

The last or right most digit

Kolmogorov-Smirnov (KS) for uniform distribution

Last Two digits

The last or rightmost two digits

Kolmogorov-Smirnov (KS) for uniform distribution

The general syntax of the script used to accomplish the analysis is: OPTIONS OBS=MAXRECORDS;
PROC BENFORD DATA=LIBNAME.FILENAME TEST=TESTTYPE;
VAR VARNAME;
OUT = LIBNAME.FILENAME;

Where the parameters highlighted in bold are specified as follows –

LIBNAME – the name of the directory where the data is located
FILENAME – the base filename (excluding the path and the extension)
VARNAME - the name of the numeric variable being tested
TESTTYPE – the type of test being performed, indicated by the following codes:

Code

Description of Audit Test

F1

Test of first digit

F2

Test of first two digits

F3

Test of first three digits

L1

Test of the last digit

L2

Test of the last two digits

D2

Test of the second digit

MAXRECORDS – the maximum number of records to be tested (default is all if not specified)
VARNAME – the name of the numeric variable to be tested.

Example Script

An example script to analyze the data file named /test/benford/invoices.tab, testing the two leading digits of the invoice amount and storing the results of the analysis in the file named /test/audit/report/invoicetwodigits.tab.  A maximum of 10,000 records are to be processed.

* run benford test on the first two digits of the PAIDAMT field;
* because this is an initial test run only, limit population to 10000 records;
LIBNAME BEN ‘/TEST/BENFORD;
LIBNAME REPORT ‘/TEST/AUDIT/REPORT’;
OPTIONS OBS=10000;
PROC BENFORD DATA=BEN.INVOICES TEST=F2;
VAR PAIDAMT;
OUT = REPORT.INVOICETWODIGITS;

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