[JoGu]

Cryptology

The Phi Distribution for Short German Texts

a7Hzq .#5r<
kÜ\as TâÆK$
ûj(Ö2 ñw%h:
Úk{4R f~`z8
¤˜Æ+Ô „&¢Dø

We take the next 26000 letters from Scepter und Hammer, see here, and chop it into chunks of 26. Here is the spreadsheet, and here are the results:

To get φ-values divide x-values in the graphic by 13 x 25 = 325.
[Frequency of phi values]

Distribution of φ for 2000 German texts of 26 letters

Minimum: 0.0308
Median: 0.0708Mean value: 0.0725
Maximum: 0.1785Standard dev:0.0204
1st quartile:0.05855% quantile: 0.0431
3rd quartile:0.083195% quantile:0.01108

Author: Klaus Pommerening, 2013-Dec-20; last change: 2014-Jan-23.