Cryptology The Phi Distribution for German Texts

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

We repeat this procedure for German texts, using Scepter und Hammer by Karl May. We already consumed its first 400000 letters for κ. Now we take the next 200000 letters—in fact we skip 801 letters in between—and form 2000 text chunks with 100 letters each. Here is the cleaned text.

The results are in the following figure and table. See also the spreadsheet.

To get φ-values divide x-values in the graphic by 4950.

Distribution of φ for 2000 German texts of 100 letters

Minimum:	0.0517
Median:	0.0752		Mean value:	0.0763
Maximum:	0.1152		Standard dev:	0.0099
1st quartile:	0.0689		5% quantile:	0.0618
3rd quartile:	0.0828		95% quantile:	0.0945