Goodness of Fit - Summary |
# | Distribution | Kolmogorov Smirnov | Anderson Darling | Chi-Squared | |||
Statistic | Rank | Statistic | Rank | Statistic | Rank | ||
1 | Beta | 0.07715 | 25 | 95.704 | 24 | 395.95 | 23 |
2 | Burr | 0.02067 | 6 | 3.0771 | 6 | 36.141 | 5 |
3 | Burr (4P) | 0.52454 | 54 | 2011.8 | 54 | N/A | |
4 | Cauchy | 0.1507 | 38 | 198.0 | 31 | 764.92 | 31 |
5 | Chi-Squared | 0.61698 | 56 | 4.6258E+5 | 58 | 28786.0 | 50 |
6 | Chi-Squared (2P) | 1 | 59 | N/A | N/A | ||
7 | Dagum | 0.89128 | 57 | 21766.0 | 56 | 53113.0 | 51 |
8 | Dagum (4P) | 0.38712 | 52 | 1245.5 | 51 | 4697.2 | 47 |
9 | Erlang | 0.24748 | 46 | 760.47 | 47 | 1557.7 | 40 |
10 | Erlang (3P) | 0.16008 | 41 | 277.97 | 39 | 596.85 | 27 |
11 | Error | 0.17777 | 42 | 241.05 | 36 | 1412.6 | 38 |
12 | Error Function | 0.53419 | 55 | 3366.3 | 55 | 8233.3 | 48 |
13 | Exponential | 0.13354 | 32 | 141.52 | 25 | 641.32 | 28 |
14 | Exponential (2P) | 0.12394 | 29 | 151.37 | 27 | 560.12 | 25 |
15 | Fatigue Life | 0.09604 | 26 | 74.677 | 22 | 293.41 | 22 |
16 | Fatigue Life (3P) | 0.01892 | 5 | 2.1984 | 3 | 26.238 | 3 |
17 | Frechet | 0.11223 | 27 | 148.01 | 26 | 536.69 | 24 |
18 | Frechet (3P) | 0.11334 | 28 | 248.33 | 38 | N/A | |
19 | Gamma | 0.04598 | 16 | 16.44 | 14 | 135.69 | 16 |
20 | Gamma (3P) | 0.03809 | 12 | 10.258 | 10 | 99.882 | 12 |
21 | Gen. Extreme Value | 0.02123 | 8 | 5.8045 | 8 | 58.371 | 10 |
22 | Gen. Gamma | 0.04485 | 15 | 13.904 | 12 | 123.01 | 14 |
23 | Gen. Gamma (4P) | 0.02116 | 7 | 2.8374 | 5 | 45.016 | 8 |
24 | Gen. Pareto | 0.04885 | 19 | 814.8 | 48 | N/A | |
25 | Gumbel Max | 0.07635 | 24 | 70.898 | 21 | 589.71 | 26 |
26 | Gumbel Min | 0.21019 | 45 | 695.54 | 46 | 2323.9 | 43 |
27 | Hypersecant | 0.15259 | 39 | 204.44 | 34 | 1203.1 | 35 |
28 | Inv. Gaussian | 0.04964 | 20 | 60.057 | 20 | 193.22 | 19 |
29 | Inv. Gaussian (3P) | 0.01605 | 3 | 1.4451 | 2 | 30.999 | 4 |
30 | Johnson SB | 0.03923 | 13 | 430.26 | 41 | N/A | |
31 | Kumaraswamy | 0.04625 | 18 | 20.626 | 16 | 173.58 | 18 |
32 | Laplace | 0.17777 | 43 | 241.05 | 37 | 1412.6 | 37 |
33 | Levy | 0.26901 | 48 | 549.76 | 43 | 3063.4 | 44 |
34 | Levy (2P) | 0.28081 | 49 | 595.8 | 44 | 3173.3 | 45 |
35 | Log-Gamma | 0.05553 | 22 | 27.068 | 17 | 118.37 | 13 |
36 | Log-Logistic | 0.03292 | 10 | 11.062 | 11 | 42.006 | 7 |
37 | Log-Logistic (3P) | 0.01717 | 4 | 3.8778 | 7 | 37.58 | 6 |
38 | Log-Pearson 3 | 0.03089 | 9 | 7.1804 | 9 | 65.223 | 11 |
39 | Logistic | 0.14636 | 36 | 198.87 | 32 | 1326.3 | 36 |
40 | Lognormal | 0.04422 | 14 | 15.422 | 13 | 54.958 | 9 |
41 | Lognormal (3P) | 0.01268 | 1 | 1.2852 | 1 | 23.775 | 2 |
42 | Normal | 0.13971 | 33 | 214.03 | 35 | 1492.9 | 39 |
43 | Pareto | 0.41688 | 53 | 1380.0 | 52 | 11377.0 | 49 |
44 | Pareto 2 | 0.14893 | 37 | 177.22 | 29 | 699.59 | 29 |
45 | Pearson 5 | 0.12828 | 30 | 162.85 | 28 | 809.15 | 32 |
46 | Pearson 5 (3P) | 0.12877 | 31 | 204.33 | 33 | 836.3 | 33 |
47 | Pearson 6 | 0.03585 | 11 | 32.544 | 19 | 134.22 | 15 |
48 | Pearson 6 (4P) | 0.01599 | 2 | 2.2342 | 4 | 22.364 | 1 |
49 | Pert | 0.07342 | 23 | 79.537 | 23 | 268.19 | 21 |
50 | Power Function | 0.2475 | 47 | 664.47 | 45 | N/A | |
51 | Rayleigh | 0.14094 | 34 | 310.65 | 40 | 1093.1 | 34 |
52 | Rayleigh (2P) | 0.14234 | 35 | 177.3 | 30 | 754.13 | 30 |
53 | Reciprocal | 0.37253 | 51 | 1061.0 | 50 | 4366.0 | 46 |
54 | Rice | 0.20934 | 44 | 538.21 | 42 | 1600.2 | 41 |
55 | Student's t | 0.99999 | 58 | 83745.0 | 57 | 6.3801E+9 | 52 |
56 | Triangular | 0.28815 | 50 | 836.9 | 49 | 2179.1 | 42 |
57 | Uniform | 0.15876 | 40 | 1539.7 | 53 | N/A | |
58 | Weibull | 0.05315 | 21 | 31.438 | 18 | 232.74 | 20 |
59 | Weibull (3P) | 0.04607 | 17 | 20.475 | 15 | 173.3 | 17 |
60 | Johnson SU | No fit | |||||
61 | Nakagami | No fit |
Goodness of Fit - Details |
Beta [#1] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.07715 0 25 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 95.704 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 | 12 395.95 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 |
Burr [#2] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.02067 0.02787 6 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 3.0771 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 | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 36.141 3.0756E-4 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 | 4983 0.52454 0 54 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 2011.8 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 |
Cauchy [#4] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.1507 0 38 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 198.0 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 | 12 764.92 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 |
Chi-Squared [#5] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.61698 0 56 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 4.6258E+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 | 7 28786.0 0 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 9.8032 | 12.017 | 14.067 | 16.622 | 18.475 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Chi-Squared (2P) [#6] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 1 0 59 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum [#7] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.89128 0 57 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 21766.0 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 | 6 53113.0 0 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 8.5581 | 10.645 | 12.592 | 15.033 | 16.812 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Dagum (4P) [#8] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.38712 0 52 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1245.5 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 | 12 4697.2 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 |
Erlang [#9] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.24748 0 46 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 760.47 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 |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 1557.7 0 40 | ||||
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 | 4983 0.16008 0 41 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 277.97 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 | 12 596.85 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 |
Error [#11] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.17777 0 42 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 241.05 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 1412.6 0 38 | ||||
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 | 4983 0.53419 0 55 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 3366.3 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 | 12 8233.3 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 |
Exponential [#13] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.13354 0 32 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 141.52 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 | 12 641.32 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 |
Exponential (2P) [#14] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.12394 0 29 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 151.37 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 | 12 560.12 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 |
Fatigue Life [#15] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.09604 0 26 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 74.677 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 | 12 293.41 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 |
Fatigue Life (3P) [#16] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.01892 0.05565 5 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 2.1984 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 | No | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 26.238 0.00993 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 |
Frechet [#17] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.11223 0 27 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 148.01 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 | 12 536.69 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 |
Frechet (3P) [#18] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.11334 0 28 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 248.33 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 |
Gamma [#19] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04598 1.3443E-9 16 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 16.44 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 | 12 135.69 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 |
Gamma (3P) [#20] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.03809 1.0156E-6 12 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 10.258 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 99.882 5.5511E-16 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 |
Gen. Extreme Value [#21] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.02123 0.02209 8 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 5.8045 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 58.371 4.4655E-8 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 |
Gen. Gamma [#22] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04485 3.7352E-9 15 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 13.904 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 | 12 123.01 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 |
Gen. Gamma (4P) [#23] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.02116 0.02277 7 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 2.8374 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 | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 45.016 1.0242E-5 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 |
Gen. Pareto [#24] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04885 8.8585E-11 19 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 814.8 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 |
Gumbel Max [#25] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.07635 0 24 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 70.898 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 | 12 589.71 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 |
Gumbel Min [#26] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.21019 0 45 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 695.54 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 2323.9 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 |
Hypersecant [#27] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.15259 0 39 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 204.44 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 1203.1 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 |
Inv. Gaussian [#28] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04964 4.0761E-11 20 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 60.057 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 | 12 193.22 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 |
Inv. Gaussian (3P) [#29] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.01605 0.15186 3 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | No | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1.4451 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 | No | No | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 30.999 0.00197 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 |
Johnson SB [#30] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.03923 4.2129E-7 13 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 430.26 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 |
Kumaraswamy [#31] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04625 1.0446E-9 18 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 20.626 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 | 12 173.58 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 |
Laplace [#32] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.17777 0 43 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 241.05 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 1412.6 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 |
Levy [#33] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.26901 0 48 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 549.76 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 3063.4 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 |
Levy (2P) [#34] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.28081 0 49 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 595.8 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 | 12 3173.3 0 45 | ||||
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 | 4983 0.05553 8.3818E-14 22 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 27.068 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 | 12 118.37 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 |
Log-Logistic [#36] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.03292 3.9566E-5 10 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 11.062 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 42.006 3.3222E-5 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 |
Log-Logistic (3P) [#37] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.01717 0.10486 4 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | No | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 3.8778 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 | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 37.58 1.7981E-4 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 | 4983 0.03089 1.4470E-4 9 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 7.1804 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 65.223 2.4791E-9 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 |
Logistic [#39] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.14636 0 36 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 198.87 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 1326.3 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 |
Lognormal [#40] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04422 6.5315E-9 14 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 15.422 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 54.958 1.8417E-7 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 |
Lognormal (3P) [#41] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.01268 0.39666 1 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | No | No | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1.2852 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? | No | No | No | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 23.775 0.02182 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 | No | No |
Normal [#42] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.13971 0 33 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 214.03 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 1492.9 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 |
Pareto [#43] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.41688 0 53 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1380.0 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 | 10 11377.0 0 49 | ||||
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 |
Pareto 2 [#44] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.14893 0 37 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 177.22 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 | 12 699.59 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 |
Pearson 5 [#45] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.12828 0 30 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 162.85 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 | 12 809.15 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 |
Pearson 5 (3P) [#46] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.12877 0 31 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 204.33 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 | 12 836.3 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 |
Pearson 6 [#47] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.03585 5.3075E-6 11 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 32.544 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 | 12 134.22 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 |
Pearson 6 (4P) [#48] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.01599 0.15466 2 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | No | No | No | No |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 2.2342 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 | No | No | No |
Chi-Squared | |||||
Deg. of freedom Statistic P-Value Rank | 12 22.364 0.03364 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 | No | No |
Pert [#49] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.07342 0 23 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 79.537 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 | 12 268.19 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 |
Power Function [#50] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.2475 0 47 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 664.47 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 |
Rayleigh [#51] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.14094 0 34 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 310.65 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 | 12 1093.1 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 |
Rayleigh (2P) [#52] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.14234 0 35 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 177.3 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 | 12 754.13 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 |
Reciprocal [#53] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.37253 0 51 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1061.0 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 | 12 4366.0 0 46 | ||||
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 |
Rice [#54] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.20934 0 44 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 538.21 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 1600.2 0 41 | ||||
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 [#55] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.99999 0 58 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 83745.0 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 | 3 6.3801E+9 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 [#56] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.28815 0 50 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 836.9 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 2179.1 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 |
Uniform [#57] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.15876 0 40 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 1539.7 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 |
Weibull [#58] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.05315 1.1084E-12 21 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 31.438 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 | 12 232.74 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 |
Weibull (3P) [#59] | |||||
Kolmogorov-Smirnov | |||||
Sample Size Statistic P-Value Rank | 4983 0.04607 1.2335E-9 17 | ||||
a | 0.2 | 0.1 | 0.05 | 0.02 | 0.01 |
Critical Value | 0.0152 | 0.01733 | 0.01924 | 0.0215 | 0.02308 |
Reject? | Yes | Yes | Yes | Yes | Yes |
Anderson-Darling | |||||
Sample Size Statistic Rank | 4983 20.475 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 | 12 173.3 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 |