Goodness of Fit - Summary

#DistributionKolmogorov
Smirnov
Anderson
Darling
Chi-Squared
StatisticRankStatisticRankStatisticRank
35Log-Pearson 30.0119712.4264141.7311
2Burr0.0163536.7901346.3452
3Burr (4P)0.0159226.0813251.4083
7Dagum0.0213412.5184114.194
38Lognormal (3P)0.02659714.146124.445
37Lognormal0.02578613.5095124.456
44Pearson 60.02688817.3367164.967
34Log-Logistic (3P)0.02241517.6948224.838
33Log-Logistic0.038441130.23110291.169
57Weibull0.048811494.68514447.6310
23Gen. Pareto0.1566924235.8617530.8111
22Gen. Logistic0.1599225270.8418669.6912
19Gen. Extreme Value0.1525923279.5720711.513
41Pareto 20.051881593.79213811.6714
28Inv. Gaussian (3P)0.0784217133.2416907.8215
16Frechet (3P)0.061111695.648151023.616
14Fatigue Life (3P)0.1237320280.69211257.017
15Frechet0.0954318273.11191612.818
29Kumaraswamy0.1170219482.82232851.619
13Fatigue Life0.1456821455.06223128.520
53Student's t0.50002502346.2343550.321
5Chi-Squared0.25539271759.1263945.222
6Chi-Squared (2P)0.25543281760.8273967.523
42Pearson 50.1879226801.61245126.424
24Gumbel Max0.5523524193.6485953.325
4Cauchy0.31097322115.8337092.726
9Error0.47018433854.1427614.327
30Laplace0.47018423854.1417614.328
10Error Function0.5494029.3467658.929
31Levy0.34185343074.4397869.030
26Hypersecant0.47828443951.5438012.331
36Logistic0.48029453981.5448109.532
39Normal0.48266464025.8458272.533
1Beta0.28966301993.3329146.834
32Levy (2P)0.37126363720.2409402.235
21Gen. Gamma (4P)0.3006311862.9309616.936
47Phased Bi-Exponential0.1502422850.062510579.037
51Reciprocal0.3355331970.83113630.038
40Pareto0.35074352526.03518548.039
20Gen. Gamma0.40407372866.83621352.040
48Power Function0.41273393031.73826001.041
46Pert0.969985672666.0571.4678E+542
54Triangular0.981915883050.0581.4723E+543
17Gamma0.971245734783.0567.4472E+544
8Dagum (4P)0.034161028.2179N/A
11Exponential0.45697408289.951N/A
12Exponential (2P)0.457418297.952N/A
18Gamma (3P)0.41123382980.737N/A
25Gumbel Min0.49331484289.649N/A
27Inv. Gaussian0.5009517442.350N/A
43Pearson 5 (3P)0.28227291793.328N/A
45Pearson 6 (4P)0.03351930.65111N/A
49Rayleigh0.639325326788.053N/A
50Rayleigh (2P)0.704615433709.054N/A
52Rice0.710885534482.055N/A
55Uniform0.48745474170.347N/A
56Wakeby0.04208121825.229N/A
58Weibull (3P)0.042261367.70412N/A
59ErlangNo fit
60Erlang (3P)No fit
61Johnson SBNo fit
62Johnson SUNo fit
63Log-GammaNo fit
64NakagamiNo fit
65Phased Bi-WeibullNo fit


Goodness of Fit - Details

Log-Pearson 3  [#35]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.01197
0.07683
1
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
11347
2.4264
1
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesNoNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
41.731
7.2460E-5
1
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Burr  [#2]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.01635
0.00457
3
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
6.7901
3
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
46.345
1.2456E-5
2
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Burr (4P)  [#3]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.01592
0.00627
2
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
6.0813
2
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
51.408
1.7060E-6
3
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Dagum  [#7]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.0213
6.6169E-5
4
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
12.518
4
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
114.19
0
4
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Lognormal (3P)  [#38]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.02659
2.1053E-7
7
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
14.14
6
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
124.44
0
5
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Lognormal  [#37]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.02578
5.5127E-7
6
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
13.509
5
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
124.45
0
6
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Pearson 6  [#44]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.02688
1.4768E-7
8
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
17.336
7
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
164.96
0
7
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Log-Logistic (3P)  [#34]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.02241
2.2016E-5
5
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
17.694
8
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
224.83
0
8
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Log-Logistic  [#33]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.03844
5.1597E-15
11
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
30.231
10
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
291.16
0
9
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Weibull  [#57]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.04881
0
14
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
94.685
14
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
447.63
0
10
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gen. Pareto  [#23]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.15669
0
24
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
235.86
17
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
530.81
0
11
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gen. Logistic  [#22]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.15992
0
25
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
270.84
18
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
669.69
0
12
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gen. Extreme Value  [#19]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.15259
0
23
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
279.57
20
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
711.5
0
13
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Pareto 2  [#41]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.05188
0
15
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
93.792
13
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
811.67
0
14
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Inv. Gaussian (3P)  [#28]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.07842
0
17
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
133.24
16
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
907.82
0
15
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Frechet (3P)  [#16]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.06111
0
16
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
95.648
15
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
1023.6
0
16
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Fatigue Life (3P)  [#14]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.12373
0
20
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
280.69
21
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
1257.0
0
17
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Frechet  [#15]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.09543
0
18
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
273.11
19
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
1612.8
0
18
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Kumaraswamy  [#29]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.11702
0
19
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
482.82
23
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
2851.6
0
19
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Fatigue Life  [#13]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.14568
0
21
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
455.06
22
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
3128.5
0
20
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Student's t  [#53]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.50002
0
50
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
2346.2
34
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
3550.3
0
21
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Chi-Squared  [#5]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.25539
0
27
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1759.1
26
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
3945.2
0
22
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Chi-Squared (2P)  [#6]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.25543
0
28
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1760.8
27
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
3967.5
0
23
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Pearson 5  [#42]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.18792
0
26
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
801.61
24
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
5126.4
0
24
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gumbel Max  [#24]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.5523
0
52
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
4193.6
48
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
5953.3
0
25
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Cauchy  [#4]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.31097
0
32
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
2115.8
33
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
7092.7
0
26
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Error  [#9]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.47018
0
43
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3854.1
42
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
7614.3
0
27
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Laplace  [#30]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.47018
0
42
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3854.1
41
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
7614.3
0
28
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Error Function  [#10]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.5
0
49
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
4029.3
46
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
7658.9
0
29
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Levy  [#31]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.34185
0
34
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3074.4
39
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
7869.0
0
30
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Hypersecant  [#26]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.47828
0
44
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3951.5
43
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
8012.3
0
31
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Logistic  [#36]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.48029
0
45
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3981.5
44
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
8109.5
0
32
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Normal  [#39]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.48266
0
46
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
4025.8
45
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
8272.5
0
33
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Beta  [#1]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.28966
0
30
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1993.3
32
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
9146.8
0
34
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Levy (2P)  [#32]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.37126
0
36
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3720.2
40
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
9402.2
0
35
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gen. Gamma (4P)  [#21]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.3006
0
31
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1862.9
30
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
9616.9
0
36
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Phased Bi-Exponential  [#47]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.15024
0
22
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
850.06
25
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
10579.0
0
37
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Reciprocal  [#51]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.3355
0
33
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1970.8
31
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
11
13630.0
0
38
a0.20.10.050.020.01
Critical Value14.63117.27519.67522.61824.725
Reject?YesYesYesYesYes
[top]


Pareto  [#40]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.35074
0
35
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
2526.0
35
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
18548.0
0
39
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Gen. Gamma  [#20]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.40407
0
37
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
2866.8
36
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
11
21352.0
0
40
a0.20.10.050.020.01
Critical Value14.63117.27519.67522.61824.725
Reject?YesYesYesYesYes
[top]


Power Function  [#48]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.41273
0
39
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
3031.7
38
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
9
26001.0
0
41
a0.20.10.050.020.01
Critical Value12.24214.68416.91919.67921.666
Reject?YesYesYesYesYes
[top]


Pert  [#46]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.96998
0
56
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
72666.0
57
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
2
1.4678E+5
0
42
a0.20.10.050.020.01
Critical Value3.21894.60525.99157.8249.2103
Reject?YesYesYesYesYes
[top]


Triangular  [#54]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.98191
0
58
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
83050.0
58
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
1
1.4723E+5
0
43
a0.20.10.050.020.01
Critical Value1.64242.70553.84155.41196.6349
Reject?YesYesYesYesYes
[top]


Gamma  [#17]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.97124
0
57
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
34783.0
56
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
13
7.4472E+5
0
44
a0.20.10.050.020.01
Critical Value16.98519.81222.36225.47227.688
Reject?YesYesYesYesYes
[top]


Dagum (4P)  [#8]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.03416
6.0553E-12
10
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
28.217
9
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Exponential  [#11]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.45697
0
40
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
8289.9
51
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Exponential (2P)  [#12]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.457
0
41
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
8297.9
52
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Gamma (3P)  [#18]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.41123
0
38
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
2980.7
37
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Gumbel Min  [#25]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.49331
0
48
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
4289.6
49
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Inv. Gaussian  [#27]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.5009
0
51
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
7442.3
50
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Pearson 5 (3P)  [#43]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.28227
0
29
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1793.3
28
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Pearson 6 (4P)  [#45]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.03351
1.6303E-11
9
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
30.651
11
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Rayleigh  [#49]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.63932
0
53
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
26788.0
53
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Rayleigh (2P)  [#50]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.70461
0
54
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
33709.0
54
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Rice  [#52]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.71088
0
55
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
34482.0
55
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Uniform  [#55]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.48745
0
47
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
4170.3
47
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Wakeby  [#56]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.04208
6.6136E-18
12
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
1825.2
29
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Weibull (3P)  [#58]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
11347
0.04226
4.6621E-18
13
a0.20.10.050.020.01
Critical Value0.010070.011480.012750.014250.01529
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
11347
67.704
12
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]