252fried.doc

TABLE 8: Table of p-values Associated with Values of in the Friedman Two-Way Analysis of Variance by Ranks. is number of columns in the usual format. is the number of rows.

, / / , / / , / / , / / , /
0.000 / 1.000 / 0.000 / 1.000 / 3.000 / .285 / 1.800 / .792 / 0.000 / 1.000
1.000 / .833 / 0.333 / .956 / 3.250 / .236 / 2.400 / .625 / 0.300 / .992
3.000 / .500 / 1.000 / .740 / 4.000 / .149 / 3.000 / .542 / 0.600 / .928
4.000 / .167 / 1.333 / .570 / 4.750 / .120 / 3.600 / .458 / 0.900 / .900
2.333 / .430 / 5.250 / .079 / 4.200 / .375 / 1.200 / .800
, / / 3.000 / .252 / 6.250 / .047 / 4.800 / .208 / 1.500 / .754
/ / 4.000 / .184 / 6.750 / .038 / 5.400 / .167 / 1.800 / .677
4.333 / .142 / 7.000 / .030 / 6.000 / .042 / 2.100 / .649
0.000 / 1.000 / 5.333 / .072 / 7.750 / .018 / , / / 2.400 / .524
0.667 / .944 / 6.333 / .052 / 9.000 / .010 / / / 2.700 / .508
2.000 / .528 / 7.000 / .029 / 9.250 / .008 / 0.200 / 1.000 / 3.000 / .432
2.667 / .361 / 8.333 / .012 / 9.750 / .005 / 0.600 / .958 / 3.300 / .389
4.667 / .194 / 9.000 / .008 / 10.750 / .002 / 1.000 / .910 / 3.600 / .355
6.000 / .028 / 9.333 / .006 / 12.000 / .001 / 1.800 / .727 / 3.900 / .324
10.333 / .002 / 12.250 / .001 / 2.200 / .608 / 4.500 / .242
, / / 12.000 / .000 / 13.000 / .000 / 2.600 / .524 / 4.800 / .200
/ / , / / 3.400 / .446 / 5.100 / .190
0.000 / 1.000 / , / / / / 3.800 / .342 / 5.400 / .158
0.500 / .931 / / / 0.000 / 1.000 / 4.200 / .300 / 5.700 / .141
1.500 / .653 / 0.000 / 1.000 / 0.222 / .971 / 5.000 / .207 / 6.000 / .105
2.000 / .431 / 0.286 / .964 / 0.667 / .814 / 5.400 / .175 / 6.300 / .094
3.500 / .273 / 0.857 / .768 / 0.889 / .685 / 5.800 / .148 / 6.600 / .077
4.500 / .125 / 1.143 / .620 / 1.556 / .569 / 6.600 / .075 / 6.900 / .068
6.000 / .069 / 2.000 / .486 / 2.000 / .398 / 7.000 / .054 / 7.200 / .054
6.500 / .042 / 2.571 / .305 / 2.667 / .328 / 7.400 / .033 / 7.500 / .052
8.000 / .005 / 3.429 / .237 / 2.889 / .278 / 8.200 / .017 / 7.800 / .036
3.714 / .192 / 3.556 / .187 / 9.000 / .002 / 8.100 / .033
, / / 4.571 / .112 / 4.222 / .154 / 8.400 / .019
/ / 5.429 / .085 / 4.667 / .107 / 8.700 / .014
0.000 / 1.000 / 6.000 / .051 / 5.556 / .069 / 9.300 / .012
0.400 / .954 / 7.143 / .021 / 6.000 / .057 / 9.600 / .007
1.200 / .691 / 7.714 / .021 / 6.222 / .048 / 9.900 / .006
1.600 / .522 / 8.000 / .016 / 6.889 / .031 / 10.200 / .003
2.800 / .367 / 8.857 / .008 / 8.000 / .019 / 10.800 / .002
3.600 / .182 / 10.286 / .004 / 8.222 / .016 / 11.100 / .001
4.800 / .124 / 10.571 / .003 / 8.667 / .010 / 12.000 / .000
5.200 / .093 / 11.143 / .001 / 9.556 / .006
6.400 / .039 / 12.286 / .000 / 10.667 / .004
7.600 / .024 / 10.889 / .003
8.400 / .008 / , / / 11.556 / .001
10.000 / .001 / / / 12.667 / .001
0.000 / 1.000 / 13.556 / .000
0.250 / .967
0.750 / .794
1.000 / .654
1.750 / .531
2.250 / .355