Benford's law - Generalization to digits beyond the first -- Is there a VBA solution?

Juggler_IN

Board Regular
Joined
Nov 19, 2014
Messages
203
Platform
Windows
I am looking for a VBA led output for 2nd, 3rd, 4th, etc, (Generalization to digits beyond the first).

The refrence link is : Benford's law - Wikipedia

Essentially the formula to code is below the text "And the probability that d (d = 0, 1, ..., 9) is encountered as the n-th (n > 1) digit is"

Thanks
 

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shg

MrExcel MVP
Joined
May 7, 2008
Messages
21,752
Office Version
2010
Platform
Windows
To replicate the table,

A​
B​
C​
D​
E​
F​
G​
H​
I​
J​
K​
L​
5​
Pos\Digit
0​
1​
2​
3​
4​
5​
6​
7​
8​
9​
6​
1​
n/a​
30.10%​
17.61%​
12.49%​
9.69%​
7.92%​
6.69%​
5.80%​
5.12%​
4.58%​
C6: =LOG(1 + 1/C$5)
7​
2​
11.97%​
11.39%​
10.88%​
10.43%​
10.03%​
9.67%​
9.34%​
9.04%​
8.76%​
8.50%​
B7: =SUMPRODUCT(LOG(1 + 1/(10*ROW(INDIRECT(10^($A7-2) & ":" & 10^($A7-1) - 1)) + B$5)))
8​
3​
10.18%​
10.14%​
10.10%​
10.06%​
10.02%​
9.98%​
9.94%​
9.90%​
9.86%​
9.83%​
9​
4​
10.02%​
10.01%​
10.01%​
10.01%​
10.00%​
10.00%​
9.99%​
9.99%​
9.99%​
9.98%​
10​
5​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
10.00%​
 
Last edited:

shg

MrExcel MVP
Joined
May 7, 2008
Messages
21,752
Office Version
2010
Platform
Windows
You're welcome.
 

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