Goodness of Fit - Summary

#DistributionKolmogorov
Smirnov
Anderson
Darling
Chi-Squared
StatisticRankStatisticRankStatisticRank
1Beta0.077152595.70424395.9523
2Burr0.0206763.0771636.1415
3Burr (4P)0.52454542011.854N/A
4Cauchy0.150738198.031764.9231
5Chi-Squared0.61698564.6258E+55828786.050
6Chi-Squared (2P)159N/AN/A
7Dagum0.891285721766.05653113.051
8Dagum (4P)0.38712521245.5514697.247
9Erlang0.2474846760.47471557.740
10Erlang (3P)0.1600841277.9739596.8527
11Error0.1777742241.05361412.638
12Error Function0.53419553366.3558233.348
13Exponential0.1335432141.5225641.3228
14Exponential (2P)0.1239429151.3727560.1225
15Fatigue Life0.096042674.67722293.4122
16Fatigue Life (3P)0.0189252.1984326.2383
17Frechet0.1122327148.0126536.6924
18Frechet (3P)0.1133428248.3338N/A
19Gamma0.045981616.4414135.6916
20Gamma (3P)0.038091210.2581099.88212
21Gen. Extreme Value0.0212385.8045858.37110
22Gen. Gamma0.044851513.90412123.0114
23Gen. Gamma (4P)0.0211672.8374545.0168
24Gen. Pareto0.0488519814.848N/A
25Gumbel Max0.076352470.89821589.7126
26Gumbel Min0.2101945695.54462323.943
27Hypersecant0.1525939204.44341203.135
28Inv. Gaussian0.049642060.05720193.2219
29Inv. Gaussian (3P)0.0160531.4451230.9994
30Johnson SB0.0392313430.2641N/A
31Kumaraswamy0.046251820.62616173.5818
32Laplace0.1777743241.05371412.637
33Levy0.2690148549.76433063.444
34Levy (2P)0.2808149595.8443173.345
35Log-Gamma0.055532227.06817118.3713
36Log-Logistic0.032921011.0621142.0067
37Log-Logistic (3P)0.0171743.8778737.586
38Log-Pearson 30.0308997.1804965.22311
39Logistic0.1463636198.87321326.336
40Lognormal0.044221415.4221354.9589
41Lognormal (3P)0.0126811.2852123.7752
42Normal0.1397133214.03351492.939
43Pareto0.41688531380.05211377.049
44Pareto 20.1489337177.2229699.5929
45Pearson 50.1282830162.8528809.1532
46Pearson 5 (3P)0.1287731204.3333836.333
47Pearson 60.035851132.54419134.2215
48Pearson 6 (4P)0.0159922.2342422.3641
49Pert0.073422379.53723268.1921
50Power Function0.247547664.4745N/A
51Rayleigh0.1409434310.65401093.134
52Rayleigh (2P)0.1423435177.330754.1330
53Reciprocal0.37253511061.0504366.046
54Rice0.2093444538.21421600.241
55Student's t0.999995883745.0576.3801E+952
56Triangular0.2881550836.9492179.142
57Uniform0.15876401539.753N/A
58Weibull0.053152131.43818232.7420
59Weibull (3P)0.046071720.47515173.317
60Johnson SUNo fit
61NakagamiNo fit


Goodness of Fit - Details

Beta  [#1]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.07715
0
25
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
95.704
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
12
395.95
0
23
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Burr  [#2]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.02067
0.02787
6
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
3.0771
6
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
36.141
3.0756E-4
5
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Burr (4P)  [#3]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.52454
0
54
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
2011.8
54
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Cauchy  [#4]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.1507
0
38
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
198.0
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
12
764.92
0
31
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Chi-Squared  [#5]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.61698
0
56
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
4.6258E+5
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
7
28786.0
0
50
a0.20.10.050.020.01
Critical Value9.803212.01714.06716.62218.475
Reject?YesYesYesYesYes
[top]


Chi-Squared (2P)  [#6]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
1
0
59
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
[top]


Dagum  [#7]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.89128
0
57
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
21766.0
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
6
53113.0
0
51
a0.20.10.050.020.01
Critical Value8.558110.64512.59215.03316.812
Reject?YesYesYesYesYes
[top]


Dagum (4P)  [#8]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.38712
0
52
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
1245.5
51
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
4697.2
0
47
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Erlang  [#9]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.24748
0
46
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
760.47
47
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
1557.7
0
40
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Erlang (3P)  [#10]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.16008
0
41
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
277.97
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
12
596.85
0
27
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Error  [#11]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.17777
0
42
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
241.05
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
12
1412.6
0
38
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Error Function  [#12]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.53419
0
55
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
3366.3
55
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
8233.3
0
48
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Exponential  [#13]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.13354
0
32
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
141.52
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
12
641.32
0
28
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Exponential (2P)  [#14]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.12394
0
29
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
151.37
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
12
560.12
0
25
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Fatigue Life  [#15]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.09604
0
26
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
74.677
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
12
293.41
0
22
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Fatigue Life (3P)  [#16]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.01892
0.05565
5
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
2.1984
3
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesNoNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
26.238
0.00993
3
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Frechet  [#17]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.11223
0
27
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
148.01
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
12
536.69
0
24
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Frechet (3P)  [#18]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.11334
0
28
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
248.33
38
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Gamma  [#19]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04598
1.3443E-9
16
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
16.44
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
12
135.69
0
16
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gamma (3P)  [#20]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.03809
1.0156E-6
12
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
10.258
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
12
99.882
5.5511E-16
12
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gen. Extreme Value  [#21]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.02123
0.02209
8
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
5.8045
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
12
58.371
4.4655E-8
10
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gen. Gamma  [#22]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04485
3.7352E-9
15
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
13.904
12
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
123.01
0
14
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gen. Gamma (4P)  [#23]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.02116
0.02277
7
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
2.8374
5
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
45.016
1.0242E-5
8
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gen. Pareto  [#24]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04885
8.8585E-11
19
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
814.8
48
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Gumbel Max  [#25]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.07635
0
24
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
70.898
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
12
589.71
0
26
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Gumbel Min  [#26]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.21019
0
45
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
695.54
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
2323.9
0
43
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Hypersecant  [#27]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.15259
0
39
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
204.44
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
12
1203.1
0
35
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Inv. Gaussian  [#28]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04964
4.0761E-11
20
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
60.057
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
12
193.22
0
19
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Inv. Gaussian (3P)  [#29]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.01605
0.15186
3
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesNoNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
1.4451
2
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesNoNoNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
30.999
0.00197
4
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Johnson SB  [#30]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.03923
4.2129E-7
13
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
430.26
41
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Kumaraswamy  [#31]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04625
1.0446E-9
18
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
20.626
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
12
173.58
0
18
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Laplace  [#32]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.17777
0
43
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
241.05
37
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
1412.6
0
37
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Levy  [#33]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.26901
0
48
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
549.76
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
12
3063.4
0
44
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Levy (2P)  [#34]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.28081
0
49
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
595.8
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
12
3173.3
0
45
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Log-Gamma  [#35]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.05553
8.3818E-14
22
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
27.068
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
12
118.37
0
13
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Log-Logistic  [#36]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.03292
3.9566E-5
10
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
11.062
11
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
42.006
3.3222E-5
7
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Log-Logistic (3P)  [#37]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.01717
0.10486
4
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesNoNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
3.8778
7
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
37.58
1.7981E-4
6
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Log-Pearson 3  [#38]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.03089
1.4470E-4
9
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
7.1804
9
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
65.223
2.4791E-9
11
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Logistic  [#39]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.14636
0
36
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
198.87
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
12
1326.3
0
36
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Lognormal  [#40]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04422
6.5315E-9
14
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
15.422
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
12
54.958
1.8417E-7
9
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Lognormal (3P)  [#41]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.01268
0.39666
1
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?NoNoNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
1.2852
1
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?NoNoNoNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
23.775
0.02182
2
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesNoNo
[top]


Normal  [#42]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.13971
0
33
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
214.03
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
12
1492.9
0
39
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pareto  [#43]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.41688
0
53
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
1380.0
52
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
10
11377.0
0
49
a0.20.10.050.020.01
Critical Value13.44215.98718.30721.16123.209
Reject?YesYesYesYesYes
[top]


Pareto 2  [#44]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.14893
0
37
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
177.22
29
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
699.59
0
29
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 5  [#45]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.12828
0
30
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
162.85
28
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
809.15
0
32
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 5 (3P)  [#46]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.12877
0
31
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
204.33
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
12
836.3
0
33
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 6  [#47]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.03585
5.3075E-6
11
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
32.544
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
12
134.22
0
15
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 6 (4P)  [#48]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.01599
0.15466
2
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesNoNoNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4983
2.2342
4
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesNoNoNo
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
12
22.364
0.03364
1
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesNoNo
[top]


Pert  [#49]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.07342
0
23
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
79.537
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
12
268.19
0
21
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Power Function  [#50]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.2475
0
47
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
664.47
45
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Rayleigh  [#51]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.14094
0
34
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
310.65
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
12
1093.1
0
34
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Rayleigh (2P)  [#52]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.14234
0
35
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
177.3
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
12
754.13
0
30
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Reciprocal  [#53]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.37253
0
51
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
1061.0
50
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
4366.0
0
46
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Rice  [#54]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.20934
0
44
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
538.21
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
12
1600.2
0
41
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Student's t  [#55]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.99999
0
58
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
83745.0
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
3
6.3801E+9
0
52
a0.20.10.050.020.01
Critical Value4.64166.25147.81479.837411.345
Reject?YesYesYesYesYes
[top]


Triangular  [#56]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.28815
0
50
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
836.9
49
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
2179.1
0
42
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Uniform  [#57]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.15876
0
40
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
1539.7
53
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Weibull  [#58]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.05315
1.1084E-12
21
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
31.438
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
12
232.74
0
20
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Weibull (3P)  [#59]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4983
0.04607
1.2335E-9
17
a0.20.10.050.020.01
Critical Value0.01520.017330.019240.02150.02308
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4983
20.475
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
12
173.3
0
17
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]