Sensitivity and uniformity in statistical randomness tests

In this paper we propose a new measure of the sensitivity of a statistical test . This can be applied to any of the common statistical batteries (NIST SP 800-22, Dieharder, TestU01, ENT, all FIPS versions, etc.) We will validate its use with the FIPS 140-2 battery. In addition, we will apply this new measure to other statistical tests, including tests of independence and uniformity. The latter leads to a new test battery, not previously seen in the literature to the best of our knowledge, that can be very powerful as a sequence checking tool. This new proposal is later tested to judge its potential as a battery for cryptographic use.