[JoGu]

Cryptology

The Chi Distribution for German Texts

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For German we use Die Juweleninsel by Karl May from Karl-May- Gesellschaft and extract the first 434101 letters.

We extract chunks of 100 letters each. Then we count the χ-values of 2000 pairs and list the values in the first column of a spreadsheet.

The figure and table show some characteristics of the distribution.

To get χ-values divide x-values in the graphic by 10000.
[Frequency of phi values]

Distribution of χ for 2000 German text pairs of 100 letters

Minimum: 0.0578
Median: 0.0792Mean value: 0.0794
Maximum: 0.1149Standard dev:0.0074
1st quartile:0.07425% quantile: 0.0677
3rd quartile:0.084095% quantile:0.0923

Author: Klaus Pommerening, 2013-Dec-20; last change: 2014-Jan-25.