The block frequency test's statistic is χ²(obs) = 4M Σ(πi − 1/2)², referred to a χ² distribution with N degrees of freedom (SP 800-22 rev 1a §3.2, p. 64).

The block frequency test's statistic is χ²(obs) = 4M Σ(πi − 1/2)², referred to a χ² distribution with N degrees of freedom (SP 800-22 rev 1a §3.2, p. 64).

• SP 800-22 rev 1a §3.2 (p. 64), verbatim: "The parameters of this test are M and N , so that n = MN , i.e., the original string is partitioned into N substrings, each of length M ."
• SP 800-22 rev 1a §3.2 (p. 64), verbatim: the statistic "under the randomness hypothesis has the Χ 2 -distribution with N degrees of freedom"; the formula line carries the factor 4M.

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