here are random number tests in fips 140
  http://www.nist.gov/itl/lab/fips/fip140-1.txt


     Statistical random number generator tests.  Cryptographic
     modules that implement a random or pseudorandom number
     generator shall incorporate the capability to perform
     statistical tests for randomness.  For Levels 1 and 2, the
     tests are not required.  For Level 3, the tests shall be
     callable upon demand.  For level 4, the tests shall be
     performed at power-up and shall also be callable upon
     demand.  The tests specified below are recommended.
     However, alternative tests which provide equivalent or
     superior randomness checking may be substituted.

     A single bit stream of 20,000 consecutive bits of output
     from the generator is subjected to each of the following
     tests.  If any of the tests fail, then the module shall
     enter an error state.

     The Monobit Test

     1.   Count the number of ones in the 20,000 bit stream.
          Denote this quantity by X.

     2.   The test is passed if 9,654 < X < 10,346.


     The Poker Test

     1.   Divide the 20,000 bit stream into 5,000 contiguous 4
          bit segments. Count and store the number of occurrences
          of each of the 16 possible 4 bit values.  Denote f(i)
          as the number of each 4 bit value i where 0 ó i ó 15.

     2.   Evaluate the following: 

        X = (16/5000) * [SUM of f(i)^2, for i = 0 to 15] - 5000


      3.   The test is passed if 1.03 < X < 57.4.



     The Runs Test

     1.   A run is defined as a maximal sequence of consecutive
          bits of either all ones or all  zeros, which is part of
          the 20,000 bit sample stream.  The incidences of runs
          (for both  consecutive zeros and consecutive ones) of
          all lengths (ò 1) in the sample stream should be
          counted and stored.

     2.   The test is passed if the number of runs that occur (of
          lengths 1 through 6) is each within the corresponding
          interval specified below.  This must hold for both the
          zeros and ones; that is, all 12 counts must lie in the
          specified interval.  For the purpose of this test, runs
          of greater than 6 are considered to be of length 6.

          Length of Run                Required Interval
                1                       2,267 - 2,733
                2                       1,079 - 1,421
                3                       502 - 748
                4                       223 - 402
                5                        90 - 223
                6+                       90 - 223

     The Long Run Test

     1.   A long run is defined to be a run of length 34 or more
     (of either zeros or ones).

     2.   On the sample of 20,000 bits, the test is passed if
     there are NO long runs.