Goodness of Fit - Summary

#DistributionKolmogorov
Smirnov
Anderson
Darling
Chi-Squared
StatisticRankStatisticRankStatisticRank
1Beta0.082929135.8416367.925
2BurrN/AN/AN/A
3Burr (4P)0.56325532126.2516593.640
4Cauchy0.1080219105.510756.1513
5Chi-Squared0.552625015085.05615874.045
6Chi-Squared (2P)0.69037554.2521E+55931349.050
7Dagum0.72205575800.35421508.047
8Dagum (4P)0.64102543602.85210951.041
9Erlang0.1788833310.39261266.923
10Erlang (3P)0.1040318126.2815895.4119
11Error0.112212195.7499691.0312
12Error Function0.943345844648.0571.3137E+551
13Exponential0.40561471387.74514089.044
14Exponential (2P)0.4018461365.04313353.042
15Fatigue Life0.2165737486.05343743.532
16Fatigue Life (3P)0.2429941600.74364512.434
17Frechet0.2624844764.3841N/A
18Frechet (3P)0.2435942729.3840N/A
19Gamma0.12423180.5621977.9420
20Gamma (3P)0.1090220125.7214891.7218
21Gen. Extreme Value0.037796485.3733N/A
22Gen. Gamma0.1455526238.42231681.925
23Gen. Gamma (4P)0.0212223.5975235.1011
24Gen. Pareto0.10286161701.647N/A
25Gumbel Max0.1637828391.66311494.224
26Gumbel Min0.0235945.487459.6494
27Hypersecant0.100411586.3097596.7210
28Inv. Gaussian0.0931911221.81221094.921
29Inv. Gaussian (3P)0.2420540598.01354512.433
30Johnson SB0.031045161.4819N/A
31Kumaraswamy0.0224133.8818341.4063
32Laplace0.1269724113.8312790.9814
33Levy0.56179521765.24924955.049
34Levy (2P)0.55587511727.84824053.048
35Log-Gamma0.1770232360.19282849.430
36Log-Logistic0.1754331374.77293146.931
37Log-Logistic (3P)0.0593750.3115416.456
38Log-Pearson 30.14716274460.053N/A
39Logistic0.095091481.7556568.658
40Lognormal0.1727530348.93272722.829
41Lognormal (3P)0.1037917114.0113827.5217
42Nakagami0.0946113139.9117590.179
43Normal0.093211293.6178638.6111
44Pareto0.51581491961.4505707.638
45Pareto 20.43966481575.44613988.043
46Pearson 50.227438623.93375355.536
47Pearson 5 (3P)0.1790234442.64321826.026
48Pearson 60.2594643640.41384723.435
49Pearson 6 (4P)0.0925310110.4611823.6516
50Pert0.077478142.7118483.27
51Power Function0.1799535295.48251854.427
52Rayleigh0.2387639666.75395792.039
53Rayleigh (2P)0.2926145790.59425439.037
54Reciprocal0.71761566047.05519552.046
55Rice0.1346525161.5420811.4115
56Student's t1.0591.0206E+5581.6227E+1152
57Triangular0.2054536381.92301250.022
58Uniform0.11923221366.744N/A
59Weibull0.1682629263.98241987.128
60Weibull (3P)0.0203713.4831137.1122
61Johnson SUNo fit


Goodness of Fit - Details

Beta  [#1]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.08292
0
9
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
135.84
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
367.92
0
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
4998
0.56325
0
53
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
2126.2
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
3
6593.6
0
40
a0.20.10.050.020.01
Critical Value4.64166.25147.81479.837411.345
Reject?YesYesYesYesYes
[top]


Cauchy  [#4]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.10802
0
19
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
105.5
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
756.15
0
13
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
4998
0.55262
0
50
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
15085.0
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
8
15874.0
0
45
a0.20.10.050.020.01
Critical Value11.0313.36215.50718.16820.09
Reject?YesYesYesYesYes
[top]


Chi-Squared (2P)  [#6]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.69037
0
55
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
4.2521E+5
59
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
Chi-Squared
Deg. of freedom
Statistic
P-Value
Rank
8
31349.0
0
50
a0.20.10.050.020.01
Critical Value11.0313.36215.50718.16820.09
Reject?YesYesYesYesYes
[top]


Dagum  [#7]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.72205
0
57
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
5800.3
54
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
21508.0
0
47
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Dagum (4P)  [#8]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.64102
0
54
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
3602.8
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
11
10951.0
0
41
a0.20.10.050.020.01
Critical Value14.63117.27519.67522.61824.725
Reject?YesYesYesYesYes
[top]


Erlang  [#9]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.17888
0
33
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
310.39
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
1266.9
0
23
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
4998
0.10403
0
18
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
126.28
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
895.41
0
19
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
4998
0.11221
0
21
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
95.749
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
691.03
0
12
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
4998
0.94334
0
58
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
44648.0
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
10
1.3137E+5
0
51
a0.20.10.050.020.01
Critical Value13.44215.98718.30721.16123.209
Reject?YesYesYesYesYes
[top]


Exponential  [#13]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.40561
0
47
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1387.7
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
14089.0
0
44
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
4998
0.4018
0
46
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1365.0
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
13353.0
0
42
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
4998
0.21657
0
37
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
486.05
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
3743.5
0
32
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
4998
0.24299
0
41
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
600.74
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
4512.4
0
34
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
4998
0.26248
0
44
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
764.38
41
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Frechet (3P)  [#18]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.24359
0
42
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
729.38
40
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
4998
0.124
0
23
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
180.56
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
977.94
0
20
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
4998
0.10902
0
20
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
125.72
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
891.72
0
18
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
4998
0.03779
1.2194E-6
6
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
485.37
33
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Gen. Gamma  [#22]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.14555
0
26
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
238.42
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
1681.9
0
25
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
4998
0.02122
0.02188
2
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4998
3.5975
2
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
35.101
4.5123E-4
1
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
4998
0.10286
0
16
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1701.6
47
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
4998
0.16378
0
28
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
391.66
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
1494.2
0
24
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
4998
0.02359
0.00754
4
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
5.487
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
12
59.649
2.6158E-8
4
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
4998
0.10041
0
15
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
86.309
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
12
596.72
0
10
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
4998
0.09319
0
11
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
221.81
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
1094.9
0
21
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
4998
0.24205
0
40
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
598.01
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
4512.4
0
33
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
4998
0.03104
1.2847E-4
5
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
161.48
19
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
4998
0.02241
0.01303
3
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesNo
Anderson-Darling
Sample Size
Statistic
Rank
4998
3.8818
3
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
41.406
4.1907E-5
3
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
4998
0.12697
0
24
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
113.83
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
790.98
0
14
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
4998
0.56179
0
52
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1765.2
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
24955.0
0
49
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
4998
0.55587
0
51
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1727.8
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
12
24053.0
0
48
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
4998
0.17702
0
32
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
360.19
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
2849.4
0
30
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
4998
0.17543
0
31
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
374.77
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
3146.9
0
31
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
4998
0.0593
9.9741E-16
7
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
50.311
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
12
416.45
0
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
4998
0.14716
0
27
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
4460.0
53
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Logistic  [#39]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.09509
0
14
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
81.755
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
12
568.65
0
8
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
4998
0.17275
0
30
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
348.93
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
2722.8
0
29
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
4998
0.10379
0
17
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
114.01
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
827.52
0
17
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Nakagami  [#42]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.09461
0
13
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
139.91
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
590.17
0
9
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Normal  [#43]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.09321
0
12
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
93.617
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
638.61
0
11
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pareto  [#44]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.51581
0
49
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1961.4
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
9
5707.6
0
38
a0.20.10.050.020.01
Critical Value12.24214.68416.91919.67921.666
Reject?YesYesYesYesYes
[top]


Pareto 2  [#45]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.43966
0
48
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1575.4
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
13988.0
0
43
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 5  [#46]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.2274
0
38
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
623.93
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
5355.5
0
36
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 5 (3P)  [#47]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.17902
0
34
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
442.64
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
1826.0
0
26
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 6  [#48]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.25946
0
43
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
640.41
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
12
4723.4
0
35
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pearson 6 (4P)  [#49]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.09253
0
10
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
110.46
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
823.65
0
16
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Pert  [#50]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.07747
0
8
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
142.71
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
483.2
0
7
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Power Function  [#51]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.17995
0
35
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
295.48
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
1854.4
0
27
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Rayleigh  [#52]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.23876
0
39
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
666.75
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
5792.0
0
39
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Rayleigh (2P)  [#53]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.29261
0
45
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
790.59
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
5439.0
0
37
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Reciprocal  [#54]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.71761
0
56
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
6047.0
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
11
19552.0
0
46
a0.20.10.050.020.01
Critical Value14.63117.27519.67522.61824.725
Reject?YesYesYesYesYes
[top]


Rice  [#55]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.13465
0
25
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
161.54
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
811.41
0
15
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Student's t  [#56]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
1.0
0
59
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1.0206E+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
3
1.6227E+11
0
52
a0.20.10.050.020.01
Critical Value4.64166.25147.81479.837411.345
Reject?YesYesYesYesYes
[top]


Triangular  [#57]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.20545
0
36
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
381.92
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
1250.0
0
22
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Uniform  [#58]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.11923
0
22
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
1366.7
44
a0.20.10.050.020.01
Critical Value1.37491.92862.50183.28923.9074
Reject?YesYesYesYesYes
[top]


Weibull  [#59]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.16826
0
29
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesYesYes
Anderson-Darling
Sample Size
Statistic
Rank
4998
263.98
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
1987.1
0
28
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
[top]


Weibull (3P)  [#60]
Kolmogorov-Smirnov
Sample Size
Statistic
P-Value
Rank
4998
0.02037
0.03122
1
a0.20.10.050.020.01
Critical Value0.015180.01730.019210.021470.02304
Reject?YesYesYesNoNo
Anderson-Darling
Sample Size
Statistic
Rank
4998
3.4831
1
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
37.112
2.1422E-4
2
a0.20.10.050.020.01
Critical Value15.81218.54921.02624.05426.217
Reject?YesYesYesYesYes
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