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. 2020 Oct 27;85(4):905–925. doi: 10.1007/s11336-020-09730-5

Table 3.

Values of Goodman and Kruskal’s gamma for several combinations of τ and number of categories of the two identical marginal triangular distributions

τ,K 2 3 5 7 10 20 50 100
-1 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000
-0.9 -0.99448 -0.99321 -0.99036 -0.98698 -0.98016 -0.95799 -0.92968 -0.91622
-0.8 -0.97561 -0.97031 -0.95286 -0.93261 -0.90805 -0.86492 -0.82918 -0.81522
-0.7 -0.93960 -0.92266 -0.87790 -0.84384 -0.81053 -0.76170 -0.72647 -0.71358
-0.6 -0.88235 -0.84482 -0.77885 -0.73856 -0.70299 -0.65525 -0.62312 -0.61176
-0.5 -0.80000 -0.74150 -0.66519 -0.62433 -0.59043 -0.54731 -0.51950 -0.50986
-0.4 -0.68966 -0.61803 -0.54185 -0.50458 -0.47493 -0.43854 -0.41572 -0.40792
-0.3 -0.55046 -0.47841 -0.41176 -0.38119 -0.35756 -0.32926 -0.31185 -0.30596
-0.2 -0.38462 -0.32625 -0.27699 -0.25537 -0.23898 -0.21966 -0.20792 -0.20398
-0.1 -0.19802 -0.16537 -0.13923 -0.12805 -0.11966 -0.10987 -0.10397 -0.10199
0 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000
0.1 0.19802 0.16537 0.13923 0.12805 0.11966 0.10987 0.10397 0.10199
0.2 0.38462 0.32625 0.27699 0.25537 0.23898 0.21966 0.20792 0.20398
0.3 0.55046 0.47841 0.41176 0.38119 0.35756 0.32926 0.31185 0.30596
0.4 0.68966 0.61803 0.54185 0.50458 0.47493 0.43854 0.41572 0.40792
0.5 0.80000 0.74150 0.66519 0.62433 0.59043 0.54731 0.51950 0.50986
0.6 0.88235 0.84482 0.77885 0.73856 0.70299 0.65525 0.62312 0.61176
0.7 0.93960 0.92266 0.87790 0.84384 0.81053 0.76170 0.72647 0.71358
0.8 0.97561 0.97031 0.95286 0.93261 0.90805 0.86492 0.82918 0.81522
0.9 0.99448 0.99321 0.99036 0.98698 0.98016 0.95799 0.92968 0.91622
1 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000