FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Moduleskewkurt.wasp
Title produced by softwareSkewness and Kurtosis
Date of computationTue, 30 Nov 2010 15:08:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t1291129572vu5ajybdv17ekrs.htm/, Retrieved Mon, 29 Apr 2024 13:27:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103589, Retrieved Mon, 29 Apr 2024 13:27:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Skewness and Kurtosis] [] [2010-11-30 15:08:15] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
52.19136862
50.78734141
55.57550553
47.15297451
53.86845814
46.93978287
50.48629081
46.70315523
52.65856013
50.2915068
46.62009742
54.54818657
49.09681114
48.53361086
54.81159044
47.45881381
45.35383193
48.07320616
44.23855628
46.17193405
49.61951117
53.42754001
47.60286205
50.28582086
52.64145126
48.40424268
50.47523816
51.44419696
52.49120246
51.57496859
53.56958051
52.44440244
45.64703799
49.70905791
47.6418105
44.84421072
45.77625301
45.82819811
47.01172899
51.0068331
54.35482147
47.21782397
50.19151288
53.2585246
52.92204382
49.41248882
48.26602058
50.91044674
48.99820232
52.69127428
49.33684733
50.32076367
53.28306501
48.09937519
46.12313485
49.94078774
49.38219272
48.17386238
49.25990668
50.29775158
47.13733927
51.82621981
43.14723914
48.61692578
51.72816672
43.64335478
50.93992712
49.14629132
48.72786714
53.82684977
49.70448483
50.10511854
48.21318272
50.8255936
46.44357931
52.25518065
50.13492127
48.4875389
49.4888295
46.44282111
53.91931589
53.74470918
50.15796479
47.80091302
46.89151597
44.88058983
54.76112819
51.63535992
48.85714498
48.23147682
54.09299339
51.36846823
48.5511524
49.97393314
43.81206168
50.68837321
49.30918941
50.70175563
51.95699917
53.80909571
48.35514828
48.01954287
46.80987795
45.38323753
51.03702143
53.38411649
44.64173911
48.098089
49.18319094
49.26826803
46.18248402
48.90163767
47.18498621
56.25656324
51.03150783
52.97330441
45.1933233
50.04857435
50.59934813
50.52316834
45.81600446
43.98975023
48.96240686
57.13021262
50.81624047
49.66333813
50.32371822
50.22885655
45.93607338
48.0474127
55.60438859
51.51055754
48.53345127
48.70054998
45.60437714
44.59941655
51.77121987
50.42135247
52.72649525
45.85817793
49.29089577
48.94789755
53.59974374
46.512185
48.37678833
53.93293261
53.7953341
51.86405097
50.82287563
49.05266118
53.44467676
52.93927586
44.81684389
48.97098442
47.61213664
54.4082911
47.16351266
49.6464592
48.72319481
54.69489547
47.73703433
53.98840717
49.10556332
55.5408031
50.34393788
46.16404477
49.70249255
49.51554139
51.79387923
60.59504926
49.80356954
52.5359186
46.50174483
54.25071746
49.90469732
48.99282964
51.83242732
48.52349258
50.11151728
50.62778439
51.64476924
54.63968635
47.32016559
47.48561149
48.01093897
53.66010691
49.10803544
52.95518391
49.10691968
53.15221272
56.44673229
50.0097444
47.26867473
50.19373908
47.27578786
52.90335585
46.49692943
47.12767263
43.35565328
48.69050345
51.81910284
51.75570124
50.27666194
51.96506485
50.49249692
51.84631644
47.43362624
50.658578
56.95628687
49.50192016
46.69574513
44.94966009
51.8306414
47.51190171
45.18068598
50.09654838
47.19483875
53.69798181
46.91334984
56.83230996
45.96944012
52.79299884
51.05785174
48.12753249
48.37179267
47.85028327
54.97844753
51.58741854
49.18875519
47.24038334
49.95516251
48.90009242
48.88911616
51.94890611
47.38790005
51.58888113
49.83165328
49.86776535
53.24455507
53.71157911
51.43243153
49.48347515
44.68634959
47.80581255
52.37281554
51.06471675
54.13028257
46.93718794
51.21524592
48.78065305
50.36168536
51.99915182
53.50922962
47.76500618
50.27875644
50.2254811
56.36374285
49.19189677
49.84472951
47.61960051
44.32874322
46.4262954
48.58009969
49.65637928
47.03170916
48.54711471
53.107871
48.85602089
50.98078698
45.56659912
50.84152688
51.39435347
46.55050029
46.0231181
45.95898772
51.23708399
46.93547627
53.15091824
50.19028063
46.3460524
51.91791025
55.14475129
54.09912749
51.06135238
48.76195301
50.10193972
46.43611196
42.98384083
44.01353703
49.8839731
50.94934496
53.89211046
48.26963309
44.89499087
48.85438184
53.85491271
50.21170566
53.24939863
53.94347961
51.21002807
48.52714084
46.72377638
51.23306846
54.68511736
50.59578437
45.72942596
47.46107372
50.04103913
48.63759902
51.4846377
46.31360575
51.20624128
49.75303209
48.04979756
52.43036795
51.22359759
51.35724022
52.85888622
50.39140533
53.02602049
43.67946837
46.78704772
50.77405954
53.66005089
49.53228888
50.22535264
48.33109799
51.53521077
52.67581715
55.56343839
44.31053104
53.69449912
49.33658544
59.33976003
44.32078017
49.20423364
47.70386343
52.55114979
49.74037616
47.20404773
49.95349699
50.23567925
47.68717432
51.14751544
47.66515633
53.30782517
45.88120705
49.31562658
49.4430908
46.25571404
48.16614748
48.92407312
49.26405157
50.44101209
44.45131066
52.16570383
47.30896484
54.18478435
53.4064578
51.05276125
55.80042473
45.66029374
48.89713341
51.72560711
54.37637866
47.91518696
49.17421027
53.13940699
46.81991516
45.70680623
48.31162165
50.2561169
44.63744608
54.49975697
51.13424932
49.73641045
48.64385882
50.59502083
57.51763402
53.01436567
51.9285277
46.10489171
50.9207392
46.76092427
43.7112349
48.55506574
47.38124335
50.44980248
50.63120168
52.25958784
53.35256657
51.49237296
50.25779296
50.99680413
49.22717964
50.73354786
52.35212346
49.44214999
50.93979588
44.90205768
46.79764032
44.13108678
46.82039908
56.30123726
51.23904754
52.64235459
51.26983131
52.37386491
50.9389553
48.22130061
45.01949383
46.89441442
57.29016824
49.72592136
51.82301294
48.27270006
47.95005392
51.02192354
53.70201077
46.83815659
49.82262898
48.89039892
49.81076378
49.14470748
48.60778258
47.8551857
53.96531118
52.63882744
51.14531433
48.06049789
50.65051643
48.15580897
49.60765668
44.58314014
47.89573843
44.67940776
48.680103
50.49507563
52.04218635
47.2576215
47.03820119
52.89670751
53.71337431
50.52972602
52.04681076
48.38255025
48.93650038
53.02176597
47.05392626
50.04498422
48.82523948
52.38614683
45.3462402
49.79275646
45.60472143
50.3743054
46.3395327
54.40376461
50.52965116
51.22250598
52.21437389
56.4204853
46.35870647
51.52521773
49.01988171
49.62389322
47.3287847
51.49658652
51.68305178
52.85761106
46.61918829
52.70172018
49.27859862
45.80837022
52.40734185
51.57596559
46.89280451
51.62951326
49.95760192
53.6298403
49.12112681
51.78047823
49.93624982
46.87933097
47.06519938
51.84025838
52.71330969
51.0658261
48.33973921
45.91950901
50.72032947
50.25991699
50.65364778
50.33569464
52.15661815
50.37662293
50.66220697
52.4672653
48.12506446
49.91823422

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.4.672519FISHER 4th Cent. Mom.221.612980
FISHER beta 10.033693FISHER beta 22.959493
FISHER gamma 10.183556FISHER gamma 2-0.040507
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.675626FISHER Test 2-0.184887
FISHER Test 1 Probability0.093000FISHER Test 2 Probability0.849200
Pearson 2-0.045015
Yule using Quartile definition:Weighted Average at Xnp-0.058909
Yule using Quartile definition:Weighted Average at X(n+1)p-0.056055
Yule using Quartile definition:Empirical Distribution Function-0.058909
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.054212
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.052360
Yule using Quartile definition:Closest Observation-0.058909
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.052360
Yule using Quartile definition:MS Excel (old versions)-0.057889
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.184108Kurtosis (small sample)-0.028818
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.685700TEST 1 (small sample)-0.132189
TEST 1 Prob. (small sample)0.091000TEST 1 Prob. (small sample)0.888600
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.4.672519 & FISHER 4th Cent. Mom.221.612980 \tabularnewline FISHER beta 10.033693 & FISHER beta 22.959493 \tabularnewline FISHER gamma 10.183556 & FISHER gamma 2-0.040507 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 11.675626 & FISHER Test 2-0.184887 \tabularnewline FISHER Test 1 Probability0.093000 & FISHER Test 2 Probability0.849200 \tabularnewline Pearson 2-0.045015 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.058909 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.056055 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.058909 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.054212 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.052360 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.058909 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.052360 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.057889 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.184108 & Kurtosis (small sample)-0.028818 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)1.685700 & TEST 1 (small sample)-0.132189 \tabularnewline TEST 1 Prob. (small sample)0.091000 & TEST 1 Prob. (small sample)0.888600 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103589&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]4.672519[/C][C]FISHER 4th Cent. Mom.[/C]221.612980[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.033693[/C][C]FISHER beta 2[/C]2.959493[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.183556[/C][C]FISHER gamma 2[/C]-0.040507[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]1.675626[/C][C]FISHER Test 2[/C]-0.184887[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.093000[/C][C]FISHER Test 2 Probability[/C]0.849200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.045015[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.058909[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.056055[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.058909[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.054212[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.052360[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.058909[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.052360[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.057889[/C][C][/C][C][/C][/ROW] [ROW][C]Skewness Measure (small sample)[/C]Value[/C]Kurtosis Measure (small sample)[/C]Value[/C][/ROW] [ROW][C]Skewness (small sample)[/C]0.184108[/C][C]Kurtosis (small sample)[/C]-0.028818[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]1.685700[/C][C]TEST 1 (small sample)[/C]-0.132189[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.091000[/C][C]TEST 1 Prob. (small sample)[/C]0.888600[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103589&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103589&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.4.672519FISHER 4th Cent. Mom.221.612980
FISHER beta 10.033693FISHER beta 22.959493
FISHER gamma 10.183556FISHER gamma 2-0.040507
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.675626FISHER Test 2-0.184887
FISHER Test 1 Probability0.093000FISHER Test 2 Probability0.849200
Pearson 2-0.045015
Yule using Quartile definition:Weighted Average at Xnp-0.058909
Yule using Quartile definition:Weighted Average at X(n+1)p-0.056055
Yule using Quartile definition:Empirical Distribution Function-0.058909
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.054212
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.052360
Yule using Quartile definition:Closest Observation-0.058909
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.052360
Yule using Quartile definition:MS Excel (old versions)-0.057889
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.184108Kurtosis (small sample)-0.028818
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.685700TEST 1 (small sample)-0.132189
TEST 1 Prob. (small sample)0.091000TEST 1 Prob. (small sample)0.888600
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1841000.091000Trim. Kurtosis (0/500)-0.0288000.888600
Trim. Skewness (1/500)0.1270000.242000Trim. Kurtosis (1/500)-0.2518000.246000
Trim. Skewness (2/500)0.0910000.400800Trim. Kurtosis (2/500)-0.3865000.076800
Trim. Skewness (3/500)0.0810000.459200Trim. Kurtosis (3/500)-0.4295000.050000
Trim. Skewness (4/500)0.0703000.522200Trim. Kurtosis (4/500)-0.4657000.034000
Trim. Skewness (5/500)0.0606000.582400Trim. Kurtosis (5/500)-0.5011000.022600
Trim. Skewness (6/500)0.0520000.631200Trim. Kurtosis (6/500)-0.5353000.015000
Trim. Skewness (7/500)0.0433000.689200Trim. Kurtosis (7/500)-0.5687000.009800
Trim. Skewness (8/500)0.0371000.733800Trim. Kurtosis (8/500)-0.5920000.007400
Trim. Skewness (9/500)0.0304000.779400Trim. Kurtosis (9/500)-0.6178000.005200
Trim. Skewness (10/500)0.0229000.833600Trim. Kurtosis (10/500)-0.6438000.003800
Trim. Skewness (11/500)0.0146000.888600Trim. Kurtosis (11/500)-0.6700000.002600
Trim. Skewness (12/500)0.0057000.952200Trim. Kurtosis (12/500)-0.6976000.001800
Trim. Skewness (13/500)0.0014000.984000Trim. Kurtosis (13/500)-0.7160000.001400
Trim. Skewness (14/500)-0.0012000.984000Trim. Kurtosis (14/500)-0.7324000.001000
Trim. Skewness (15/500)-0.0048000.960200Trim. Kurtosis (15/500)-0.7487000.000800
Trim. Skewness (16/500)-0.0096000.928200Trim. Kurtosis (16/500)-0.7649000.000600
Trim. Skewness (17/500)-0.0146000.896600Trim. Kurtosis (17/500)-0.7829000.000600
Trim. Skewness (18/500)-0.0162000.880800Trim. Kurtosis (18/500)-0.7941000.000400
Trim. Skewness (19/500)-0.0162000.880800Trim. Kurtosis (19/500)-0.8041000.000400
Trim. Skewness (20/500)-0.0151000.888600Trim. Kurtosis (20/500)-0.8125000.000400
Trim. Skewness (21/500)-0.0136000.904400Trim. Kurtosis (21/500)-0.8215000.000400
Trim. Skewness (22/500)-0.0126000.904400Trim. Kurtosis (22/500)-0.8287000.000200
Trim. Skewness (23/500)-0.0117000.912400Trim. Kurtosis (23/500)-0.8367000.000200
Trim. Skewness (24/500)-0.0107000.920400Trim. Kurtosis (24/500)-0.8448000.000200
Trim. Skewness (25/500)-0.0090000.936200Trim. Kurtosis (25/500)-0.8528000.000200
Trim. Skewness (26/500)-0.0068000.952200Trim. Kurtosis (26/500)-0.8614000.000200
Trim. Skewness (27/500)-0.0041000.968000Trim. Kurtosis (27/500)-0.8692000.000200
Trim. Skewness (28/500)-0.0019000.984000Trim. Kurtosis (28/500)-0.8770000.000200
Trim. Skewness (29/500)-0.0010000.992000Trim. Kurtosis (29/500)-0.8830000.000200
Trim. Skewness (30/500)0.0001000.992000Trim. Kurtosis (30/500)-0.8896000.000200
Trim. Skewness (31/500)0.0008000.992000Trim. Kurtosis (31/500)-0.8935000.000200
Trim. Skewness (32/500)0.0019000.984000Trim. Kurtosis (32/500)-0.8973000.000200
Trim. Skewness (33/500)0.0034000.976000Trim. Kurtosis (33/500)-0.9009000.000200
Trim. Skewness (34/500)0.0035000.976000Trim. Kurtosis (34/500)-0.9023000.000200
Trim. Skewness (35/500)0.0034000.976000Trim. Kurtosis (35/500)-0.9039000.000200
Trim. Skewness (36/500)0.0041000.968000Trim. Kurtosis (36/500)-0.9048000.000200
Trim. Skewness (37/500)0.0047000.968000Trim. Kurtosis (37/500)-0.9056000.000200
Trim. Skewness (38/500)0.0054000.960200Trim. Kurtosis (38/500)-0.9067000.000200
Trim. Skewness (39/500)0.0058000.960200Trim. Kurtosis (39/500)-0.9077000.000200
Trim. Skewness (40/500)0.0062000.952200Trim. Kurtosis (40/500)-0.9090000.000200

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/500)0.1841000.091000 & Trim. Kurtosis (0/500)-0.0288000.888600 \tabularnewline Trim. Skewness (1/500)0.1270000.242000 & Trim. Kurtosis (1/500)-0.2518000.246000 \tabularnewline Trim. Skewness (2/500)0.0910000.400800 & Trim. Kurtosis (2/500)-0.3865000.076800 \tabularnewline Trim. Skewness (3/500)0.0810000.459200 & Trim. Kurtosis (3/500)-0.4295000.050000 \tabularnewline Trim. Skewness (4/500)0.0703000.522200 & Trim. Kurtosis (4/500)-0.4657000.034000 \tabularnewline Trim. Skewness (5/500)0.0606000.582400 & Trim. Kurtosis (5/500)-0.5011000.022600 \tabularnewline Trim. Skewness (6/500)0.0520000.631200 & Trim. Kurtosis (6/500)-0.5353000.015000 \tabularnewline Trim. Skewness (7/500)0.0433000.689200 & Trim. Kurtosis (7/500)-0.5687000.009800 \tabularnewline Trim. Skewness (8/500)0.0371000.733800 & Trim. Kurtosis (8/500)-0.5920000.007400 \tabularnewline Trim. Skewness (9/500)0.0304000.779400 & Trim. Kurtosis (9/500)-0.6178000.005200 \tabularnewline Trim. Skewness (10/500)0.0229000.833600 & Trim. Kurtosis (10/500)-0.6438000.003800 \tabularnewline Trim. Skewness (11/500)0.0146000.888600 & Trim. Kurtosis (11/500)-0.6700000.002600 \tabularnewline Trim. Skewness (12/500)0.0057000.952200 & Trim. Kurtosis (12/500)-0.6976000.001800 \tabularnewline Trim. Skewness (13/500)0.0014000.984000 & Trim. Kurtosis (13/500)-0.7160000.001400 \tabularnewline Trim. Skewness (14/500)-0.0012000.984000 & Trim. Kurtosis (14/500)-0.7324000.001000 \tabularnewline Trim. Skewness (15/500)-0.0048000.960200 & Trim. Kurtosis (15/500)-0.7487000.000800 \tabularnewline Trim. Skewness (16/500)-0.0096000.928200 & Trim. Kurtosis (16/500)-0.7649000.000600 \tabularnewline Trim. Skewness (17/500)-0.0146000.896600 & Trim. Kurtosis (17/500)-0.7829000.000600 \tabularnewline Trim. Skewness (18/500)-0.0162000.880800 & Trim. Kurtosis (18/500)-0.7941000.000400 \tabularnewline Trim. Skewness (19/500)-0.0162000.880800 & Trim. Kurtosis (19/500)-0.8041000.000400 \tabularnewline Trim. Skewness (20/500)-0.0151000.888600 & Trim. Kurtosis (20/500)-0.8125000.000400 \tabularnewline Trim. Skewness (21/500)-0.0136000.904400 & Trim. Kurtosis (21/500)-0.8215000.000400 \tabularnewline Trim. Skewness (22/500)-0.0126000.904400 & Trim. Kurtosis (22/500)-0.8287000.000200 \tabularnewline Trim. Skewness (23/500)-0.0117000.912400 & Trim. Kurtosis (23/500)-0.8367000.000200 \tabularnewline Trim. Skewness (24/500)-0.0107000.920400 & Trim. Kurtosis (24/500)-0.8448000.000200 \tabularnewline Trim. Skewness (25/500)-0.0090000.936200 & Trim. Kurtosis (25/500)-0.8528000.000200 \tabularnewline Trim. Skewness (26/500)-0.0068000.952200 & Trim. Kurtosis (26/500)-0.8614000.000200 \tabularnewline Trim. Skewness (27/500)-0.0041000.968000 & Trim. Kurtosis (27/500)-0.8692000.000200 \tabularnewline Trim. Skewness (28/500)-0.0019000.984000 & Trim. Kurtosis (28/500)-0.8770000.000200 \tabularnewline Trim. Skewness (29/500)-0.0010000.992000 & Trim. Kurtosis (29/500)-0.8830000.000200 \tabularnewline Trim. Skewness (30/500)0.0001000.992000 & Trim. Kurtosis (30/500)-0.8896000.000200 \tabularnewline Trim. Skewness (31/500)0.0008000.992000 & Trim. Kurtosis (31/500)-0.8935000.000200 \tabularnewline Trim. Skewness (32/500)0.0019000.984000 & Trim. Kurtosis (32/500)-0.8973000.000200 \tabularnewline Trim. Skewness (33/500)0.0034000.976000 & Trim. Kurtosis (33/500)-0.9009000.000200 \tabularnewline Trim. Skewness (34/500)0.0035000.976000 & Trim. Kurtosis (34/500)-0.9023000.000200 \tabularnewline Trim. Skewness (35/500)0.0034000.976000 & Trim. Kurtosis (35/500)-0.9039000.000200 \tabularnewline Trim. Skewness (36/500)0.0041000.968000 & Trim. Kurtosis (36/500)-0.9048000.000200 \tabularnewline Trim. Skewness (37/500)0.0047000.968000 & Trim. Kurtosis (37/500)-0.9056000.000200 \tabularnewline Trim. Skewness (38/500)0.0054000.960200 & Trim. Kurtosis (38/500)-0.9067000.000200 \tabularnewline Trim. Skewness (39/500)0.0058000.960200 & Trim. Kurtosis (39/500)-0.9077000.000200 \tabularnewline Trim. Skewness (40/500)0.0062000.952200 & Trim. Kurtosis (40/500)-0.9090000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103589&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/500)[/C]0.184100[/C]0.091000[/C][C]Trim. Kurtosis (0/500)[/C]-0.028800[/C]0.888600[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.127000[/C]0.242000[/C][C]Trim. Kurtosis (1/500)[/C]-0.251800[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.091000[/C]0.400800[/C][C]Trim. Kurtosis (2/500)[/C]-0.386500[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.081000[/C]0.459200[/C][C]Trim. Kurtosis (3/500)[/C]-0.429500[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.070300[/C]0.522200[/C][C]Trim. Kurtosis (4/500)[/C]-0.465700[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.060600[/C]0.582400[/C][C]Trim. Kurtosis (5/500)[/C]-0.501100[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.052000[/C]0.631200[/C][C]Trim. Kurtosis (6/500)[/C]-0.535300[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.043300[/C]0.689200[/C][C]Trim. Kurtosis (7/500)[/C]-0.568700[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.037100[/C]0.733800[/C][C]Trim. Kurtosis (8/500)[/C]-0.592000[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.030400[/C]0.779400[/C][C]Trim. Kurtosis (9/500)[/C]-0.617800[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.022900[/C]0.833600[/C][C]Trim. Kurtosis (10/500)[/C]-0.643800[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.014600[/C]0.888600[/C][C]Trim. Kurtosis (11/500)[/C]-0.670000[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.005700[/C]0.952200[/C][C]Trim. Kurtosis (12/500)[/C]-0.697600[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.001400[/C]0.984000[/C][C]Trim. Kurtosis (13/500)[/C]-0.716000[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.001200[/C]0.984000[/C][C]Trim. Kurtosis (14/500)[/C]-0.732400[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.004800[/C]0.960200[/C][C]Trim. Kurtosis (15/500)[/C]-0.748700[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.009600[/C]0.928200[/C][C]Trim. Kurtosis (16/500)[/C]-0.764900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.014600[/C]0.896600[/C][C]Trim. Kurtosis (17/500)[/C]-0.782900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.016200[/C]0.880800[/C][C]Trim. Kurtosis (18/500)[/C]-0.794100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.016200[/C]0.880800[/C][C]Trim. Kurtosis (19/500)[/C]-0.804100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.015100[/C]0.888600[/C][C]Trim. Kurtosis (20/500)[/C]-0.812500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.013600[/C]0.904400[/C][C]Trim. Kurtosis (21/500)[/C]-0.821500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.012600[/C]0.904400[/C][C]Trim. Kurtosis (22/500)[/C]-0.828700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.011700[/C]0.912400[/C][C]Trim. Kurtosis (23/500)[/C]-0.836700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.010700[/C]0.920400[/C][C]Trim. Kurtosis (24/500)[/C]-0.844800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.009000[/C]0.936200[/C][C]Trim. Kurtosis (25/500)[/C]-0.852800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.006800[/C]0.952200[/C][C]Trim. Kurtosis (26/500)[/C]-0.861400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.004100[/C]0.968000[/C][C]Trim. Kurtosis (27/500)[/C]-0.869200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.001900[/C]0.984000[/C][C]Trim. Kurtosis (28/500)[/C]-0.877000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.001000[/C]0.992000[/C][C]Trim. Kurtosis (29/500)[/C]-0.883000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.000100[/C]0.992000[/C][C]Trim. Kurtosis (30/500)[/C]-0.889600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.000800[/C]0.992000[/C][C]Trim. Kurtosis (31/500)[/C]-0.893500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.001900[/C]0.984000[/C][C]Trim. Kurtosis (32/500)[/C]-0.897300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.003400[/C]0.976000[/C][C]Trim. Kurtosis (33/500)[/C]-0.900900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.003500[/C]0.976000[/C][C]Trim. Kurtosis (34/500)[/C]-0.902300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.003400[/C]0.976000[/C][C]Trim. Kurtosis (35/500)[/C]-0.903900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.004100[/C]0.968000[/C][C]Trim. Kurtosis (36/500)[/C]-0.904800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.004700[/C]0.968000[/C][C]Trim. Kurtosis (37/500)[/C]-0.905600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.005400[/C]0.960200[/C][C]Trim. Kurtosis (38/500)[/C]-0.906700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.005800[/C]0.960200[/C][C]Trim. Kurtosis (39/500)[/C]-0.907700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.006200[/C]0.952200[/C][C]Trim. Kurtosis (40/500)[/C]-0.909000[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103589&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103589&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1841000.091000Trim. Kurtosis (0/500)-0.0288000.888600
Trim. Skewness (1/500)0.1270000.242000Trim. Kurtosis (1/500)-0.2518000.246000
Trim. Skewness (2/500)0.0910000.400800Trim. Kurtosis (2/500)-0.3865000.076800
Trim. Skewness (3/500)0.0810000.459200Trim. Kurtosis (3/500)-0.4295000.050000
Trim. Skewness (4/500)0.0703000.522200Trim. Kurtosis (4/500)-0.4657000.034000
Trim. Skewness (5/500)0.0606000.582400Trim. Kurtosis (5/500)-0.5011000.022600
Trim. Skewness (6/500)0.0520000.631200Trim. Kurtosis (6/500)-0.5353000.015000
Trim. Skewness (7/500)0.0433000.689200Trim. Kurtosis (7/500)-0.5687000.009800
Trim. Skewness (8/500)0.0371000.733800Trim. Kurtosis (8/500)-0.5920000.007400
Trim. Skewness (9/500)0.0304000.779400Trim. Kurtosis (9/500)-0.6178000.005200
Trim. Skewness (10/500)0.0229000.833600Trim. Kurtosis (10/500)-0.6438000.003800
Trim. Skewness (11/500)0.0146000.888600Trim. Kurtosis (11/500)-0.6700000.002600
Trim. Skewness (12/500)0.0057000.952200Trim. Kurtosis (12/500)-0.6976000.001800
Trim. Skewness (13/500)0.0014000.984000Trim. Kurtosis (13/500)-0.7160000.001400
Trim. Skewness (14/500)-0.0012000.984000Trim. Kurtosis (14/500)-0.7324000.001000
Trim. Skewness (15/500)-0.0048000.960200Trim. Kurtosis (15/500)-0.7487000.000800
Trim. Skewness (16/500)-0.0096000.928200Trim. Kurtosis (16/500)-0.7649000.000600
Trim. Skewness (17/500)-0.0146000.896600Trim. Kurtosis (17/500)-0.7829000.000600
Trim. Skewness (18/500)-0.0162000.880800Trim. Kurtosis (18/500)-0.7941000.000400
Trim. Skewness (19/500)-0.0162000.880800Trim. Kurtosis (19/500)-0.8041000.000400
Trim. Skewness (20/500)-0.0151000.888600Trim. Kurtosis (20/500)-0.8125000.000400
Trim. Skewness (21/500)-0.0136000.904400Trim. Kurtosis (21/500)-0.8215000.000400
Trim. Skewness (22/500)-0.0126000.904400Trim. Kurtosis (22/500)-0.8287000.000200
Trim. Skewness (23/500)-0.0117000.912400Trim. Kurtosis (23/500)-0.8367000.000200
Trim. Skewness (24/500)-0.0107000.920400Trim. Kurtosis (24/500)-0.8448000.000200
Trim. Skewness (25/500)-0.0090000.936200Trim. Kurtosis (25/500)-0.8528000.000200
Trim. Skewness (26/500)-0.0068000.952200Trim. Kurtosis (26/500)-0.8614000.000200
Trim. Skewness (27/500)-0.0041000.968000Trim. Kurtosis (27/500)-0.8692000.000200
Trim. Skewness (28/500)-0.0019000.984000Trim. Kurtosis (28/500)-0.8770000.000200
Trim. Skewness (29/500)-0.0010000.992000Trim. Kurtosis (29/500)-0.8830000.000200
Trim. Skewness (30/500)0.0001000.992000Trim. Kurtosis (30/500)-0.8896000.000200
Trim. Skewness (31/500)0.0008000.992000Trim. Kurtosis (31/500)-0.8935000.000200
Trim. Skewness (32/500)0.0019000.984000Trim. Kurtosis (32/500)-0.8973000.000200
Trim. Skewness (33/500)0.0034000.976000Trim. Kurtosis (33/500)-0.9009000.000200
Trim. Skewness (34/500)0.0035000.976000Trim. Kurtosis (34/500)-0.9023000.000200
Trim. Skewness (35/500)0.0034000.976000Trim. Kurtosis (35/500)-0.9039000.000200
Trim. Skewness (36/500)0.0041000.968000Trim. Kurtosis (36/500)-0.9048000.000200
Trim. Skewness (37/500)0.0047000.968000Trim. Kurtosis (37/500)-0.9056000.000200
Trim. Skewness (38/500)0.0054000.960200Trim. Kurtosis (38/500)-0.9067000.000200
Trim. Skewness (39/500)0.0058000.960200Trim. Kurtosis (39/500)-0.9077000.000200
Trim. Skewness (40/500)0.0062000.952200Trim. Kurtosis (40/500)-0.9090000.000200


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):