Goodness of Fit - Summary |
# | Distribution | Kolmogorov Smirnov | Anderson Darling | Chi-Squared | |||
Statistic | Rank | Statistic | Rank | Statistic | Rank | ||
35 | Log-Pearson 3 | 0.01197 | 1 | 2.4264 | 1 | 41.731 | 1 |
2 | Burr | 0.01635 | 3 | 6.7901 | 3 | 46.345 | 2 |
3 | Burr (4P) | 0.01592 | 2 | 6.0813 | 2 | 51.408 | 3 |
7 | Dagum | 0.0213 | 4 | 12.518 | 4 | 114.19 | 4 |
38 | Lognormal (3P) | 0.02659 | 7 | 14.14 | 6 | 124.44 | 5 |
37 | Lognormal | 0.02578 | 6 | 13.509 | 5 | 124.45 | 6 |
44 | Pearson 6 | 0.02688 | 8 | 17.336 | 7 | 164.96 | 7 |
34 | Log-Logistic (3P) | 0.02241 | 5 | 17.694 | 8 | 224.83 | 8 |
33 | Log-Logistic | 0.03844 | 11 | 30.231 | 10 | 291.16 | 9 |
57 | Weibull | 0.04881 | 14 | 94.685 | 14 | 447.63 | 10 |
23 | Gen. Pareto | 0.15669 | 24 | 235.86 | 17 | 530.81 | 11 |
22 | Gen. Logistic | 0.15992 | 25 | 270.84 | 18 | 669.69 | 12 |
19 | Gen. Extreme Value | 0.15259 | 23 | 279.57 | 20 | 711.5 | 13 |
41 | Pareto 2 | 0.05188 | 15 | 93.792 | 13 | 811.67 | 14 |
28 | Inv. Gaussian (3P) | 0.07842 | 17 | 133.24 | 16 | 907.82 | 15 |
16 | Frechet (3P) | 0.06111 | 16 | 95.648 | 15 | 1023.6 | 16 |
14 | Fatigue Life (3P) | 0.12373 | 20 | 280.69 | 21 | 1257.0 | 17 |
15 | Frechet | 0.09543 | 18 | 273.11 | 19 | 1612.8 | 18 |
29 | Kumaraswamy | 0.11702 | 19 | 482.82 | 23 | 2851.6 | 19 |
13 | Fatigue Life | 0.14568 | 21 | 455.06 | 22 | 3128.5 | 20 |
53 | Student's t | 0.50002 | 50 | 2346.2 | 34 | 3550.3 | 21 |
5 | Chi-Squared | 0.25539 | 27 | 1759.1 | 26 | 3945.2 | 22 |
6 | Chi-Squared (2P) | 0.25543 | 28 | 1760.8 | 27 | 3967.5 | 23 |
42 | Pearson 5 | 0.18792 | 26 | 801.61 | 24 | 5126.4 | 24 |
24 | Gumbel Max | 0.5523 | 52 | 4193.6 | 48 | 5953.3 | 25 |
4 | Cauchy | 0.31097 | 32 | 2115.8 | 33 | 7092.7 | 26 |
9 | Error | 0.47018 | 43 | 3854.1 | 42 | 7614.3 | 27 |
30 | Laplace | 0.47018 | 42 | 3854.1 | 41 | 7614.3 | 28 |
10 | Error Function | 0.5 | 49 | 4029.3 | 46 | 7658.9 | 29 |
31 | Levy | 0.34185 | 34 | 3074.4 | 39 | 7869.0 | 30 |
26 | Hypersecant | 0.47828 | 44 | 3951.5 | 43 | 8012.3 | 31 |
36 | Logistic | 0.48029 | 45 | 3981.5 | 44 | 8109.5 | 32 |
39 | Normal | 0.48266 | 46 | 4025.8 | 45 | 8272.5 | 33 |
1 | Beta | 0.28966 | 30 | 1993.3 | 32 | 9146.8 | 34 |
32 | Levy (2P) | 0.37126 | 36 | 3720.2 | 40 | 9402.2 | 35 |
21 | Gen. Gamma (4P) | 0.3006 | 31 | 1862.9 | 30 | 9616.9 | 36 |
47 | Phased Bi-Exponential | 0.15024 | 22 | 850.06 | 25 | 10579.0 | 37 |
51 | Reciprocal | 0.3355 | 33 | 1970.8 | 31 | 13630.0 | 38 |
40 | Pareto | 0.35074 | 35 | 2526.0 | 35 | 18548.0 | 39 |
20 | Gen. Gamma | 0.40407 | 37 | 2866.8 | 36 | 21352.0 | 40 |
48 | Power Function | 0.41273 | 39 | 3031.7 | 38 | 26001.0 | 41 |
46 | Pert | 0.96998 | 56 | 72666.0 | 57 | 1.4678E+5 | 42 |
54 | Triangular | 0.98191 | 58 | 83050.0 | 58 | 1.4723E+5 | 43 |
17 | Gamma | 0.97124 | 57 | 34783.0 | 56 | 7.4472E+5 | 44 |
8 | Dagum (4P) | 0.03416 | 10 | 28.217 | 9 | N/A | |
11 | Exponential | 0.45697 | 40 | 8289.9 | 51 | N/A | |
12 | Exponential (2P) | 0.457 | 41 | 8297.9 | 52 | N/A | |
18 | Gamma (3P) | 0.41123 | 38 | 2980.7 | 37 | N/A | |
25 | Gumbel Min | 0.49331 | 48 | 4289.6 | 49 | N/A | |
27 | Inv. Gaussian | 0.5009 | 51 | 7442.3 | 50 | N/A | |
43 | Pearson 5 (3P) | 0.28227 | 29 | 1793.3 | 28 | N/A | |
45 | Pearson 6 (4P) | 0.03351 | 9 | 30.651 | 11 | N/A | |
49 | Rayleigh | 0.63932 | 53 | 26788.0 | 53 | N/A | |
50 | Rayleigh (2P) | 0.70461 | 54 | 33709.0 | 54 | N/A | |
52 | Rice | 0.71088 | 55 | 34482.0 | 55 | N/A | |
55 | Uniform | 0.48745 | 47 | 4170.3 | 47 | N/A | |
56 | Wakeby | 0.04208 | 12 | 1825.2 | 29 | N/A | |
58 | Weibull (3P) | 0.04226 | 13 | 67.704 | 12 | N/A | |
59 | Erlang | No fit | |||||
60 | Erlang (3P) | No fit | |||||
61 | Johnson SB | No fit | |||||
62 | Johnson SU | No fit | |||||
63 | Log-Gamma | No fit | |||||
64 | Nakagami | No fit | |||||
65 | Phased Bi-Weibull | No fit |
Goodness of Fit - Details |
Log-Pearson 3 [#35] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.01197 0.07683 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2.4264 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 | No | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 41.731 7.2460E-5 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Burr [#2] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.01635 0.00457 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 6.7901 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 | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 46.345 1.2456E-5 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Burr (4P) [#3] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.01592 0.00627 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 6.0813 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 | Yes |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 51.408 1.7060E-6 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum [#7] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.0213 6.6169E-5 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 12.518 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 | 13 114.19 0 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Lognormal (3P) [#38] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.02659 2.1053E-7 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 14.14 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 | 13 124.44 0 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Lognormal [#37] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.02578 5.5127E-7 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 13.509 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 | 13 124.45 0 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 6 [#44] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.02688 1.4768E-7 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 17.336 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 | 13 164.96 0 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Logistic (3P) [#34] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.02241 2.2016E-5 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 17.694 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 | 13 224.83 0 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Log-Logistic [#33] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.03844 5.1597E-15 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 30.231 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 | 13 291.16 0 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Weibull [#57] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.04881 0 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 94.685 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 | 13 447.63 0 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Pareto [#23] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.15669 0 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 235.86 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 | 13 530.81 0 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Logistic [#22] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.15992 0 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 270.84 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 | 13 669.69 0 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Extreme Value [#19] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.15259 0 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 279.57 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 | 13 711.5 0 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pareto 2 [#41] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.05188 0 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 93.792 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 | 13 811.67 0 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Inv. Gaussian (3P) [#28] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.07842 0 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 133.24 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 | 13 907.82 0 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Frechet (3P) [#16] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.06111 0 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 95.648 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 | 13 1023.6 0 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Fatigue Life (3P) [#14] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.12373 0 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 280.69 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 | 13 1257.0 0 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Frechet [#15] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.09543 0 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 273.11 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 1612.8 0 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Kumaraswamy [#29] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.11702 0 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 482.82 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 | 13 2851.6 0 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Fatigue Life [#13] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.14568 0 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 455.06 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 | 13 3128.5 0 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Student's t [#53] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.50002 0 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2346.2 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 | 13 3550.3 0 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared [#5] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.25539 0 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1759.1 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 | 13 3945.2 0 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared (2P) [#6] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.25543 0 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1760.8 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 | 13 3967.5 0 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Pearson 5 [#42] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.18792 0 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 801.61 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 | 13 5126.4 0 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gumbel Max [#24] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.5523 0 52 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 4193.6 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 | 13 5953.3 0 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Cauchy [#4] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.31097 0 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2115.8 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 7092.7 0 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Error [#9] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.47018 0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3854.1 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 | 13 7614.3 0 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Laplace [#30] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.47018 0 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3854.1 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 7614.3 0 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Error Function [#10] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.5 0 49 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 4029.3 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 7658.9 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 |
Levy [#31] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.34185 0 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3074.4 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 | 13 7869.0 0 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Hypersecant [#26] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.47828 0 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3951.5 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 | 13 8012.3 0 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Logistic [#36] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.48029 0 45 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3981.5 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 8109.5 0 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Normal [#39] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.48266 0 46 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 4025.8 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 8272.5 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 |
Beta [#1] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.28966 0 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1993.3 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 | 13 9146.8 0 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Levy (2P) [#32] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.37126 0 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3720.2 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 13 9402.2 0 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Gamma (4P) [#21] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.3006 0 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1862.9 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 | 13 9616.9 0 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Phased Bi-Exponential [#47] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.15024 0 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 850.06 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 | 13 10579.0 0 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Reciprocal [#51] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.3355 0 33 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1970.8 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 | 11 13630.0 0 38 | ||||
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 |
Pareto [#40] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.35074 0 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2526.0 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 | 13 18548.0 0 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gen. Gamma [#20] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.40407 0 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2866.8 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 | 11 21352.0 0 40 | ||||
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 |
Power Function [#48] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.41273 0 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 3031.7 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 | 9 26001.0 0 41 | ||||
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 |
Pert [#46] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.96998 0 56 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 72666.0 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 | 2 1.4678E+5 0 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 3.2189 | 4.6052 | 5.9915 | 7.824 | 9.2103 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Triangular [#54] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.98191 0 58 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 83050.0 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 | 1 1.4723E+5 0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 1.6424 | 2.7055 | 3.8415 | 5.4119 | 6.6349 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Gamma [#17] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.97124 0 57 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 34783.0 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 | 13 7.4472E+5 0 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum (4P) [#8] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.03416 6.0553E-12 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 28.217 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 |
Exponential [#11] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.45697 0 40 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 8289.9 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 |
Exponential (2P) [#12] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.457 0 41 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 8297.9 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 |
Gamma (3P) [#18] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.41123 0 38 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 2980.7 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 |
Gumbel Min [#25] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.49331 0 48 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 4289.6 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 |
Inv. Gaussian [#27] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.5009 0 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 7442.3 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 |
Pearson 5 (3P) [#43] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.28227 0 29 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1793.3 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 |
Pearson 6 (4P) [#45] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.03351 1.6303E-11 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 30.651 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 |
Rayleigh [#49] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.63932 0 53 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 26788.0 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 |
Rayleigh (2P) [#50] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.70461 0 54 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 33709.0 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 |
Rice [#52] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.71088 0 55 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 34482.0 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 |
Uniform [#55] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.48745 0 47 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 4170.3 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 |
Wakeby [#56] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.04208 6.6136E-18 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 1825.2 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 |
Weibull (3P) [#58] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 11347 0.04226 4.6621E-18 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.01007 | 0.01148 | 0.01275 | 0.01425 | 0.01529 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 11347 67.704 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 |