Valores Criticos Ks

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Critical Values for the Two-sample Kolmogorov-Smirnov test (2-sided)
Table gives critical D-values for α = 0.05 (upper value) and α = 0.01(lower value) for various sample sizes. * means you cannot reject H0 regardless of observed D. n2\n1 1 2 3 4 5 6 7 8 9 10 11 12 3 * * * * * * 4 5 67 * * * * * * * * * * * * * * * * * 15/15 18/18 21/21 * * * * 16/16 20/20 20/24 24/28 * * 24/24 28/28 * 24/30 30/35 * 30/30 35/35 30/36 30/4236/36 36/42 42/49 42/49 8 * * 16/16 * 21/24 24/24 28/32 32/32 30/40 35/40 34/48 40/48 40/56 48/56 48/64 56/64 9 * * 18/18 * 24/27 27/27 28/3632/36 35/45 40/45 39/54 45/54 42/63 49/63 46/72 55/72 54/81 63/81 10 11 12 * * * * * * 20/20 22/22 24/24 * * * 27/30 30/33 30/36 30/30 33/33 36/3630/40 33/44 36/48 36/40 40/44 44/48 40/50 39/55 43/60 45/50 45/55 50/60 40/60 43/66 48/72 48/60 54/66 60/72 46/70 48/77 53/84 53/70 59/77 60/8448/80 53/88 60/96 60/80 64/88 68/96 53/90 59/99 63/108 70/90 70/99 75/108 70/100 60/110 66/120 80/100 77/110 80/120 77/121 72/132 88/121 86/13296/144 84/144

For larger sample sizes, the approximate critical value Dα is given by the equation
Dα = c(α ) n1 + n2 n1n2

where thecoefficient is given by the table below.

α

c(α) Examples:

0.10 1.22

0.05 1.36

0.025 1.48

0.01 1.63

0.005 1.73

0.001 1.95(1) At α = 0.05 and samples sizes 5 and 8, Dα = 30/40 = 0.75. 15 + 28 (2) At α = 0.01 and samples sizes 15 and 28, Dα = 1.63 = 0.522. 15 ⋅ 28

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