Goodness of Fit - Summary |
# | Distribution | Kolmogorov Smirnov | Anderson Darling | Chi-Squared | |||
Statistic | Rank | Statistic | Rank | Statistic | Rank | ||
1 | Beta | 0.08292 | 9 | 135.84 | 16 | 367.92 | 5 |
2 | Burr | N/A | N/A | N/A | |||
3 | Burr (4P) | 0.56325 | 53 | 2126.2 | 51 | 6593.6 | 40 |
4 | Cauchy | 0.10802 | 19 | 105.5 | 10 | 756.15 | 13 |
5 | Chi-Squared | 0.55262 | 50 | 15085.0 | 56 | 15874.0 | 45 |
6 | Chi-Squared (2P) | 0.69037 | 55 | 4.2521E+5 | 59 | 31349.0 | 50 |
7 | Dagum | 0.72205 | 57 | 5800.3 | 54 | 21508.0 | 47 |
8 | Dagum (4P) | 0.64102 | 54 | 3602.8 | 52 | 10951.0 | 41 |
9 | Erlang | 0.17888 | 33 | 310.39 | 26 | 1266.9 | 23 |
10 | Erlang (3P) | 0.10403 | 18 | 126.28 | 15 | 895.41 | 19 |
11 | Error | 0.11221 | 21 | 95.749 | 9 | 691.03 | 12 |
12 | Error Function | 0.94334 | 58 | 44648.0 | 57 | 1.3137E+5 | 51 |
13 | Exponential | 0.40561 | 47 | 1387.7 | 45 | 14089.0 | 44 |
14 | Exponential (2P) | 0.4018 | 46 | 1365.0 | 43 | 13353.0 | 42 |
15 | Fatigue Life | 0.21657 | 37 | 486.05 | 34 | 3743.5 | 32 |
16 | Fatigue Life (3P) | 0.24299 | 41 | 600.74 | 36 | 4512.4 | 34 |
17 | Frechet | 0.26248 | 44 | 764.38 | 41 | N/A | |
18 | Frechet (3P) | 0.24359 | 42 | 729.38 | 40 | N/A | |
19 | Gamma | 0.124 | 23 | 180.56 | 21 | 977.94 | 20 |
20 | Gamma (3P) | 0.10902 | 20 | 125.72 | 14 | 891.72 | 18 |
21 | Gen. Extreme Value | 0.03779 | 6 | 485.37 | 33 | N/A | |
22 | Gen. Gamma | 0.14555 | 26 | 238.42 | 23 | 1681.9 | 25 |
23 | Gen. Gamma (4P) | 0.02122 | 2 | 3.5975 | 2 | 35.101 | 1 |
24 | Gen. Pareto | 0.10286 | 16 | 1701.6 | 47 | N/A | |
25 | Gumbel Max | 0.16378 | 28 | 391.66 | 31 | 1494.2 | 24 |
26 | Gumbel Min | 0.02359 | 4 | 5.487 | 4 | 59.649 | 4 |
27 | Hypersecant | 0.10041 | 15 | 86.309 | 7 | 596.72 | 10 |
28 | Inv. Gaussian | 0.09319 | 11 | 221.81 | 22 | 1094.9 | 21 |
29 | Inv. Gaussian (3P) | 0.24205 | 40 | 598.01 | 35 | 4512.4 | 33 |
30 | Johnson SB | 0.03104 | 5 | 161.48 | 19 | N/A | |
31 | Kumaraswamy | 0.02241 | 3 | 3.8818 | 3 | 41.406 | 3 |
32 | Laplace | 0.12697 | 24 | 113.83 | 12 | 790.98 | 14 |
33 | Levy | 0.56179 | 52 | 1765.2 | 49 | 24955.0 | 49 |
34 | Levy (2P) | 0.55587 | 51 | 1727.8 | 48 | 24053.0 | 48 |
35 | Log-Gamma | 0.17702 | 32 | 360.19 | 28 | 2849.4 | 30 |
36 | Log-Logistic | 0.17543 | 31 | 374.77 | 29 | 3146.9 | 31 |
37 | Log-Logistic (3P) | 0.0593 | 7 | 50.311 | 5 | 416.45 | 6 |
38 | Log-Pearson 3 | 0.14716 | 27 | 4460.0 | 53 | N/A | |
39 | Logistic | 0.09509 | 14 | 81.755 | 6 | 568.65 | 8 |
40 | Lognormal | 0.17275 | 30 | 348.93 | 27 | 2722.8 | 29 |
41 | Lognormal (3P) | 0.10379 | 17 | 114.01 | 13 | 827.52 | 17 |
42 | Nakagami | 0.09461 | 13 | 139.91 | 17 | 590.17 | 9 |
43 | Normal | 0.09321 | 12 | 93.617 | 8 | 638.61 | 11 |
44 | Pareto | 0.51581 | 49 | 1961.4 | 50 | 5707.6 | 38 |
45 | Pareto 2 | 0.43966 | 48 | 1575.4 | 46 | 13988.0 | 43 |
46 | Pearson 5 | 0.2274 | 38 | 623.93 | 37 | 5355.5 | 36 |
47 | Pearson 5 (3P) | 0.17902 | 34 | 442.64 | 32 | 1826.0 | 26 |
48 | Pearson 6 | 0.25946 | 43 | 640.41 | 38 | 4723.4 | 35 |
49 | Pearson 6 (4P) | 0.09253 | 10 | 110.46 | 11 | 823.65 | 16 |
50 | Pert | 0.07747 | 8 | 142.71 | 18 | 483.2 | 7 |
51 | Power Function | 0.17995 | 35 | 295.48 | 25 | 1854.4 | 27 |
52 | Rayleigh | 0.23876 | 39 | 666.75 | 39 | 5792.0 | 39 |
53 | Rayleigh (2P) | 0.29261 | 45 | 790.59 | 42 | 5439.0 | 37 |
54 | Reciprocal | 0.71761 | 56 | 6047.0 | 55 | 19552.0 | 46 |
55 | Rice | 0.13465 | 25 | 161.54 | 20 | 811.41 | 15 |
56 | Student's t | 1.0 | 59 | 1.0206E+5 | 58 | 1.6227E+11 | 52 |
57 | Triangular | 0.20545 | 36 | 381.92 | 30 | 1250.0 | 22 |
58 | Uniform | 0.11923 | 22 | 1366.7 | 44 | N/A | |
59 | Weibull | 0.16826 | 29 | 263.98 | 24 | 1987.1 | 28 |
60 | Weibull (3P) | 0.02037 | 1 | 3.4831 | 1 | 37.112 | 2 |
61 | Johnson SU | No fit |
Goodness of Fit - Details |
Beta [#1] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.08292 0 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 135.84 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 367.92 0 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Burr (4P) [#3] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.56325 0 53 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 2126.2 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 3 6593.6 0 40 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 4.6416 | 6.2514 | 7.8147 | 9.8374 | 11.345 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Cauchy [#4] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10802 0 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 105.5 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 756.15 0 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared [#5] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.55262 0 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 15085.0 56 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 8 15874.0 0 45 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 11.03 | 13.362 | 15.507 | 18.168 | 20.09 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared (2P) [#6] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.69037 0 55 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 4.2521E+5 59 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 8 31349.0 0 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 11.03 | 13.362 | 15.507 | 18.168 | 20.09 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum [#7] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.72205 0 57 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 5800.3 54 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 21508.0 0 47 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum (4P) [#8] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.64102 0 54 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 3602.8 52 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 11 10951.0 0 41 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 14.631 | 17.275 | 19.675 | 22.618 | 24.725 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Erlang [#9] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17888 0 33 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 310.39 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1266.9 0 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Erlang (3P) [#10] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10403 0 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 126.28 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 895.41 0 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Error [#11] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.11221 0 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 95.749 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 691.03 0 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Error Function [#12] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.94334 0 58 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 44648.0 57 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 10 1.3137E+5 0 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 13.442 | 15.987 | 18.307 | 21.161 | 23.209 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Exponential [#13] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.40561 0 47 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1387.7 45 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 14089.0 0 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Exponential (2P) [#14] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.4018 0 46 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1365.0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 13353.0 0 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Fatigue Life [#15] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.21657 0 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 486.05 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 3743.5 0 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Fatigue Life (3P) [#16] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.24299 0 41 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 600.74 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 4512.4 0 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Frechet [#17] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.26248 0 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 764.38 41 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Frechet (3P) [#18] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.24359 0 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 729.38 40 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gamma [#19] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.124 0 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 180.56 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 977.94 0 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gamma (3P) [#20] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10902 0 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 125.72 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 891.72 0 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Extreme Value [#21] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.03779 1.2194E-6 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 485.37 33 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Gamma [#22] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.14555 0 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 238.42 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1681.9 0 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Gamma (4P) [#23] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.02122 0.02188 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 3.5975 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 35.101 4.5123E-4 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Pareto [#24] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10286 0 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1701.6 47 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gumbel Max [#25] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.16378 0 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 391.66 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1494.2 0 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gumbel Min [#26] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.02359 0.00754 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 5.487 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 59.649 2.6158E-8 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Hypersecant [#27] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10041 0 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 86.309 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 596.72 0 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Inv. Gaussian [#28] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.09319 0 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 221.81 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1094.9 0 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Inv. Gaussian (3P) [#29] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.24205 0 40 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 598.01 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 4512.4 0 33 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Johnson SB [#30] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.03104 1.2847E-4 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 161.48 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Kumaraswamy [#31] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.02241 0.01303 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 3.8818 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 41.406 4.1907E-5 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Laplace [#32] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.12697 0 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 113.83 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 790.98 0 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Levy [#33] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.56179 0 52 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1765.2 49 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 24955.0 0 49 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Levy (2P) [#34] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.55587 0 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1727.8 48 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 24053.0 0 48 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Gamma [#35] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17702 0 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 360.19 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 2849.4 0 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Logistic [#36] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17543 0 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 374.77 29 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 3146.9 0 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Logistic (3P) [#37] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.0593 9.9741E-16 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 50.311 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 416.45 0 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Pearson 3 [#38] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.14716 0 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 4460.0 53 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Logistic [#39] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.09509 0 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 81.755 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 568.65 0 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Lognormal [#40] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17275 0 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 348.93 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 2722.8 0 29 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Lognormal (3P) [#41] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.10379 0 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 114.01 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 827.52 0 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Nakagami [#42] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.09461 0 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 139.91 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 590.17 0 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Normal [#43] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.09321 0 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 93.617 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 638.61 0 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pareto [#44] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.51581 0 49 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1961.4 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 9 5707.6 0 38 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 12.242 | 14.684 | 16.919 | 19.679 | 21.666 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pareto 2 [#45] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.43966 0 48 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1575.4 46 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 13988.0 0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 5 [#46] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.2274 0 38 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 623.93 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 5355.5 0 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 5 (3P) [#47] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17902 0 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 442.64 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1826.0 0 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 6 [#48] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.25946 0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 640.41 38 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 4723.4 0 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 6 (4P) [#49] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.09253 0 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 110.46 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 823.65 0 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pert [#50] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.07747 0 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 142.71 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 483.2 0 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Power Function [#51] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.17995 0 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 295.48 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1854.4 0 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Rayleigh [#52] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.23876 0 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 666.75 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 5792.0 0 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Rayleigh (2P) [#53] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.29261 0 45 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 790.59 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 5439.0 0 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Reciprocal [#54] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.71761 0 56 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 6047.0 55 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 11 19552.0 0 46 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 14.631 | 17.275 | 19.675 | 22.618 | 24.725 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Rice [#55] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.13465 0 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 161.54 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 811.41 0 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Student's t [#56] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 1.0 0 59 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1.0206E+5 58 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 3 1.6227E+11 0 52 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 4.6416 | 6.2514 | 7.8147 | 9.8374 | 11.345 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Triangular [#57] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.20545 0 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 381.92 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1250.0 0 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Uniform [#58] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.11923 0 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 1366.7 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Weibull [#59] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.16826 0 29 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 263.98 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1987.1 0 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Weibull (3P) [#60] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4998 0.02037 0.03122 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01518 | 0.0173 | 0.01921 | 0.02147 | 0.02304 |
Reject? | Yes | Yes | Yes | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4998 3.4831 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.3749 | 1.9286 | 2.5018 | 3.2892 | 3.9074 |
Reject? | Yes | Yes | Yes | Yes | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 37.112 2.1422E-4 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 |
Reject? | Yes | Yes | Yes | Yes | Yes |