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Calculate Benford's Law in QlikView
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//QlikView Script, Load the distribution of first digits, according to Benford's law, as Data Island: | |
Benford: | |
LOAD FirstDigit, log10(FirstDigit+1) - log10(FirstDigit) as OccurancePct; | |
LOAD RecNo() as FirstDigit AutoGenerate(9); | |
//*********************************************************************************** | |
//Chart | |
//Dynamic Dimension; | |
=ValueList(1,2,3,4,5,6,7,8,9) | |
//Benford's Expression: | |
=pick(match(ValueList(1,2,3,4,5,6,7,8,9),1,2,3,4,5,6,7,8,9), | |
Only({<FirstDigit={1}>} OccurancePct), | |
Only({<FirstDigit={2}>} OccurancePct), | |
Only({<FirstDigit={3}>} OccurancePct), | |
Only({<FirstDigit={4}>} OccurancePct), | |
Only({<FirstDigit={5}>} OccurancePct), | |
Only({<FirstDigit={6}>} OccurancePct), | |
Only({<FirstDigit={7}>} OccurancePct), | |
Only({<FirstDigit={8}>} OccurancePct), | |
Only({<FirstDigit={9}>} OccurancePct)) | |
//Actual Expression: | |
=pick(match(ValueList(1,2,3,4,5,6,7,8,9),1,2,3,4,5,6,7,8,9), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=1"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=2"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=3"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=4"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=5"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=6"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=7"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=8"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1)), | |
count({$<YourField = {"=left(text(fabs(YourField*100000)),1)=9"}>} YourField) / count({$ - <YourField = {0}>} TOTAL left(text(fabs(YourField*100000)),1))) |
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