Table 1.

The results of various tests applied to the naїve and recommended generators. The Kolmogorov-Smirnov test results and the average number of failures for over 100 runs of the Small Crush and Crush test batteries from TestU01 are shown. We see that the although the naїve implementation has strong correlation between draws and fails many TestU01 tests it does pass a few of these tests as well as the Kolmogorov-Smirnov test.

	Kolmogov-Smirnov (p-value)	Small Crush Avg. % failure	Crush Avg. % failure
Naїve	.137	94.2%	87.7%
Recommended	.758	0.333%	0.250%