[JoGu]

Cryptology

The Chi Distribution for Short English Texts

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

For English we extract the next 104009 letters from Dr Thorndyke Short Story Omnibus.

We count the χ-values of 2000 pairs of 26 letter chunks and use a spreadsheet.

The figure and table show some characteristics of the distribution.

To get χ-values divide x-values in the graphic by 26 x 26 = 676.
[Frequency of phi values]

Distribution of χ for 2000 English text pairs of 26 letters

Minimum: 0.0266
Median: 0.0666Mean value: 0.0666
Maximum: 0.1169Standard dev:0.0120
1st quartile:0.05775% quantile: 0.0488
3rd quartile:0.074095% quantile:0.0873

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