PROGRAM FILE 133: CHI-SQUARE UNIFORMITY TEST FOR
        RND FUNCTION.
    ANSI STANDARD 8.4

SECTION 133.1: CHI-SQUARE UNIFORMITY TEST FOR
        RND FUNCTION.

THIS PROGRAM RUNS A SERIES OF 60 EXPERIMENTS OF 1040 SAMPLES
TO DETERMINE IF THE RANDOM NUMBERS ARE EQUALLY DISTRIBUTED
AMONG 21 EQUAL-SIZE INTERVALS BETWEEN 0 AND 1.  CHI-SQUARE
IS COMPUTED AND DISPLAYED FOR EACH OF THESE EXPERIMENTS.
EACH CHI-SQUARE RESULT IS CATEGORIZED ACCORDING TO THE
PERCENTILE RANGE INTO WHICH ITS VALUE FALLS:

CATEGORY     % RANGE                CATEGORY    % RANGE
    1          0-1                      6        50-75
    2          1-5                      7        75-90
    3          5-10                     8        90-95
    4         10-25                     9        95-99
    5         25-50                    10        99-100

THESE CATEGORICAL RESULTS ARE THEN EVALUATED AGAIN USING
CHI-SQUARE (THE FIRST AND LAST THREE CATEGORIES ARE EACH
CONSOLIDATED INTO ONE), AND IF THE DISTRIBUTION AMONG
CATEGORIES IS SUFFICIENTLY IMPROBABLE (TOP OR BOTTOM 5%),
THE TEST FAILS.

                    BEGIN TEST

EXPERIMENT     CHI-SQUARE     CATEGORY

 1              13.76          4 
 2              19.96          6 
 3              22.32          6 
 4              16.68          5 
 5              24.92          7 
 6              13.92          4 
 7              20.96          6 
 8              14.24          4 
 9              23.84          7 
 10             18.36          5 
 11             17.44          5 
 12             18.28          5 
 13             15.28          4 
 14             31.56          9 
 15             17.92          5 
 16             29.44          8 
 17             10.96          3 
 18             35.32          9 
 19             23.44          6 
 20             24.2           7 
 21             22.96          6 
 22             24.2           7 
 23             23.96          7 
 24             27.32          7 
 25             22.36          6 
 26             21.12          6 
 27             18             5 
 28             10.72          2 
 29             21.28          6 
 30             16.4           5 
 31             12             3 
 32             17.4           5 
 33             18.32          5 
 34             16.2           5 
 35             30.12          8 
 36             22.4           6 
 37             11.16          3 
 38             16.72          5 
 39             23.08          6 
 40             24.24          7 
 41             13.12          4 
 42             22.04          6 
 43             16.44          5 
 44             15.36          4 
 45             28.88          8 
 46             16.08          5 
 47             18.08          5 
 48             24.76          7 
 49             23.88          7 
 50             22.48          6 
 51             19.44          6 
 52             24.52          7 
 53             33.64          9 
 54             12.48          4 
 55             17.2           5 
 56             16.68          5 
 57             24.32          7 
 58             13.32          4 
 59             23.76          6 
 60             17.04          5 



SUMMARY EVALUATION STATISTICS

               ACTUAL         EXPECTED
CATEGORY       COUNT          COUNT
 1              0              .6 
 2              1              2.4 
 3              3              3 
 4              8              9 
 5              17             15 
 6              14             15 
 7              11             9 
 8              3              3 
 9              3              2.4 
 10             0              .6 


WILL CONSOLIDATE CATEGORIES 1-3 AND 8-10, SO THAT
EXPECTED VALUE IN EACH IS >= 5, AS REQUIRED BY
CHI-SQUARE TEST.

FOR FIVE D.F., SHOULD HAVE 1.145476 <= CHI-SQ <= 11.0705
(5% TAIL AT EACH END.)

ACTUAL CHI-SQ =  1.55556 

 ***  TEST PASSED  *** 

                    END TEST

END PROGRAM 133
