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 computationWed, 01 Dec 2010 14:00:55 +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/Dec/01/t1291211973ihhtql7sastv6k1.htm/, Retrieved Sat, 04 May 2024 23:42:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104001, Retrieved Sat, 04 May 2024 23:42:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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 17:04:17] [8441f95c4a5787a301bc621ebc7904ca]
-    D    [Skewness and Kurtosis] [] [2010-12-01 14:00:55] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.006386799
0.004953127
0.012358807
0.012439902
0.005462896
0.001667159
-0.009249603
0.004649426
-0.001263097
-0.003386329
0.003386329
0.001683314
0.007907832
-0.00248169
0.010248104
0.004834497
-0.005645505
0.005244679
-0.004028735
0.000404559
0.002017163
-0.007306061
0.003262321
0.006452033
-0.004830016
-0.000404937
-0.007766414
-0.002896687
0.004132234
0.008551785
0.017777154
-0.005845236
-0.01152886
0.000402684
-0.007306061
0.010114441
0
-0.007665406
-0.005323809
0.007759111
0.002824034
-0.002015291
-0.000404183
0.005225263
-0.001601087
-0.012612717
0.003699644
0.000817881
-0.011173509
0.003340743
-0.024823584
-0.006657685
-0.008582282
0.001366423
-0.003653393
0.004561959
-0.007322314
0.005503277
0.007678834
-0.000447957
-0.00269749
-0.012814676
-0.017535274
0.001930201
-0.005816531
-0.007381954
-0.008014889
0.010489508
0.012165907
-0.001442042
0.018383086
-0.004639942
-0.00421876
-0.010488412
0.002885688
-0.000959767
0.008562491
0.010700887
0.004116566
-0.005036682
-0.002772102
0.001850033
-0.00046177
-0.002316243
-0.017051919
0.008135782
-0.00333159
0.00757785
-0.00710034
-0.005765056
-0.001453301
-0.002433029
-0.007381954
0.013198485
0
0.000481213
-0.010219165
-0.001974069
-0.009501352
0.004025934
0.000500628
-0.010123873
-0.000512442
-0.021009876
-0.001617486
-0.006530867
-0.00109809
0.007088454
0.014362547
-0.002624144
0.00679007
0.004126344
0.008640433
0.000502947
-0.002015291
0.002015291
-0.012234456
-0.00415596
-0.006309474
-0.009639484
0
-0.004353866
-0.007169469
0.006622153
0.008675334
0.016330764
-0.015794267
0
0.007442193
0.002103125
-0.012774288
0.002692473
-0.013078865
0.016820502
-0.003741637
0.005865331
0.006309474
0.011842788
-0.004082704
0.014124643
0.007381954
0.000974848
-0.003912589
0.00537077
-0.025480589
0.01616166
0.016537286
0.0136242
0.009605641
0.004947997
-0.006761338
-0.002277375
0.019642564
0.006498293
-0.002587661
-0.001299635
0.009016818
0.000849061
-0.005548801
0.013949343
-0.011379546
0.003402912
-0.002976087
-0.003426404
-0.013095298
-0.004454341
0.004897273
-0.007591973
0.007149042
0.000442932
-0.00534523
-0.00814326
0.004542871
-0.006832251
-0.000459328
0.00320514
-0.005509095
0.010047218
-0.007743264
0.010443549
0.001343873
0.005334288
-0.003548902
-0.002232881
0.006664496
0.005694311
-0.009680724
-0.005372784
0.008918065
-0.010271711
0.006281228
-0.002680839
-0.007686829
-0.010154
-0.0103971
-0.006262813
0.007695342
0.000476461
0.007084896
0.001403214
0.011065426
0.003626697
-0.013293428
0
-0.001398695
0.000932964
0.002323679
0.005526622
-0.010186478
0.004196115
0.015943381
0.008854425
-0.00131671
-0.001320714
-0.003541667
0.008800595
-0.00043582
0.00043582
0
0.00087033
0.005615024
0.008919809
0.004183987
-0.009684137
0.000850724
-0.017781888
0.010064705
-0.015409936
0.003570787
0.001774444
-0.00534523
0.007112453
0.001760061
-0.011570004
-0.00681795
0.003195034
-0.000454997
0.003175013
-0.000452155
0
-0.002267861
-0.001822855
-0.003668824
-0.00046079
-0.00463499
0.001859936
0.002313775
0.006868269
0.001360715
-0.002725707
0.006782457
-0.005871986
0.009001244
0.004872299
0.004818243
0.00087033
-0.007454
-0.006685014
0.001792756
-0.010869251
0.013988876
-0.005811541
0.004477302
-0.016339023
-0.009822911
0.008433168
0.004615288
0.003657238
-0.002740037
-0.007858656
0.005101222
0.001840234
-0.005079526
0.000464238
-0.01128101
0.002374497
-0.01887482
-0.004474739
-0.005026613
0.00900643
-0.002981438
0.009859549
-0.008366271
0.016574416
0.002860347
0.001896485
0.003768305
-0.004241651
-0.009092999
0.003851861
0.007131433
0.001412341
-0.010465434
0.006688936
-0.006688936
0.000481213
0.000960829
-0.006770875
-0.012861597
0.002003669
0.014739915
0.004326157
0.005701979
0.000943094
-0.006167038
0.001430955
-0.003346259
-0.006283725
-0.002931132
0.007291069
0.000962959
0.002876133
-0.001915304
0.004297617
-0.005739658
-0.000481747
0.007644545
0.001890295
-0.023245386
0.015634335
0
0.011834369
0.002328662
0.007368906
-0.019139125
0.00710034
0.000469254
-0.005189893
-0.000950317
-0.020951525
-0.002503145
-0.000502365
0
0.019654688
0.006674251
-0.008600172
0.003843339
0.006173782
-0.000471803
0.006093816
-0.00280191
0.006048119
-0.002316243
-0.004669878
0.001406243
0.003263635
-0.002795897
0.005573909
-0.006041647
0.000934972
0.00694886
-0.014010714
-0.004772515
0.010899397
-0.020604706
-0.010429528
-0.000502947
0.001507096
0.002500263
-0.006530867
0.012473416
-0.003952651
0.008843406
0.001940984
0.000483894
-0.018777885
0.003520646
0.004980496
-0.006485851
0.008954843
-0.007950693
-0.02370404
-0.005328834
0
-0.002689139
-0.003792989
0.001087096
0.011781831
0.008372201
0.023699252
-0.013455983
0.016390416
0.013910123
-0.001892354
0.003776498
0.000939015
-0.005664791
-0.010094737
0.008189933
-0.007703874
-0.030171468
0.006204312
-0.013556511
-0.002123694
-0.012964977
-0.007187724
0.003885088
-0.002771512
0.010438953
0.006466042
-0.008097708
0.007562533
-0.010844371
0.006539062
0.000540503
-0.008179046
-0.004982401
0.008272526
-0.002740037
-0.012265871
0
0.006733383
-0.018193005
-0.016569101
0.005395032
0.003559811
0.013381867
0.009071755
-0.010794009
0.003437705
0.013485
-0.005567954
0.012701189
-0.018909533
-0.001708702
0.018982472
-0.001093941
0.00163988
-0.008262034
-0.012409258
-0.012774288
0.013346104
0.001710946
-0.006884601
-0.004651123
-0.014259923
-0.011010872
0.006151583
-0.016179029
-0.008968051
0.002581253
-0.002581253
-0.015147514
-0.019183316
-0.020804209
-0.019539033
0.019539033
0.005113703
0.007202395
0.018185679
0.007470457
0.008666179
0.011720802
-0.003871893
-0.006530867
0.01678018
-0.008954843
0.005777839
-0.011633584
0.003262934
0.032556034
-0.023548122
0.020521667
0.01901456
-0.001747666
-0.012434638
-0.007268697
0.001828611
-0.023751516
-0.003871893
0.022114314
0.01214889
-0.002402742
-0.022244693
-0.006386799
0.009545318
-0.009545318
0.001925921
-0.005154891
0.025794798
-0.014912864
-0.007652964
0.009545318
0.015456951
0.011981297
0
0.039508541
0.003224974
-0.005930867
0.013363962
-0.041392685
0.019808393
-0.016922705
-0.002885688
-0.029963223
0.038563395
0
-0.008600172
0.002885688

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.000856FISHER beta 24.576273
FISHER gamma 1-0.029262FISHER gamma 21.576273
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-0.266854FISHER Test 27.187472
FISHER Test 1 Probability0.787200FISHER Test 2 Probability0.000000
Pearson 2-0.060379
Yule using Quartile definition:Weighted Average at Xnp-0.029850
Yule using Quartile definition:Weighted Average at X(n+1)p-0.022320
Yule using Quartile definition:Empirical Distribution Function-0.022320
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.022320
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.021008
Yule using Quartile definition:Closest Observation-0.028924
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.022320
Yule using Quartile definition:MS Excel (old versions)-0.022320
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.029350Kurtosis (small sample)1.604304
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-0.268461TEST 1 (small sample)7.351695
TEST 1 Prob. (small sample)0.787200TEST 1 Prob. (small sample)0.000000
Observations499

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.000000 & FISHER 4th Cent. Mom.0.000000 \tabularnewline FISHER beta 10.000856 & FISHER beta 24.576273 \tabularnewline FISHER gamma 1-0.029262 & FISHER gamma 21.576273 \tabularnewline FISHER gamma 1 (S.E.)0.109654 & FISHER gamma 2 (S.E.)0.219308 \tabularnewline FISHER Test 1-0.266854 & FISHER Test 27.187472 \tabularnewline FISHER Test 1 Probability0.787200 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 2-0.060379 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.029850 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.022320 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.022320 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.022320 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.021008 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.028924 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.022320 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.022320 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.029350 & Kurtosis (small sample)1.604304 \tabularnewline Skewness S.E. (small sample)0.109327 & Kurtosis S.E. (small sample)0.218222 \tabularnewline TEST 1 (small sample)-0.268461 & TEST 1 (small sample)7.351695 \tabularnewline TEST 1 Prob. (small sample)0.787200 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations499 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104001&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]-0.000000[/C][C]FISHER 4th Cent. Mom.[/C]0.000000[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.000856[/C][C]FISHER beta 2[/C]4.576273[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.029262[/C][C]FISHER gamma 2[/C]1.576273[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109654[/C][C]FISHER gamma 2 (S.E.)[/C]0.219308[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.266854[/C][C]FISHER Test 2[/C]7.187472[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.787200[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.060379[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.029850[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.022320[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.022320[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.022320[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.021008[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.028924[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.022320[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.022320[/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]-0.029350[/C][C]Kurtosis (small sample)[/C]1.604304[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109327[/C][C]Kurtosis S.E. (small sample)[/C]0.218222[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.268461[/C][C]TEST 1 (small sample)[/C]7.351695[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.787200[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][/ROW] [ROW][C]Observations[/C]499[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104001&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104001&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.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.000856FISHER beta 24.576273
FISHER gamma 1-0.029262FISHER gamma 21.576273
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-0.266854FISHER Test 27.187472
FISHER Test 1 Probability0.787200FISHER Test 2 Probability0.000000
Pearson 2-0.060379
Yule using Quartile definition:Weighted Average at Xnp-0.029850
Yule using Quartile definition:Weighted Average at X(n+1)p-0.022320
Yule using Quartile definition:Empirical Distribution Function-0.022320
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.022320
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.021008
Yule using Quartile definition:Closest Observation-0.028924
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.022320
Yule using Quartile definition:MS Excel (old versions)-0.022320
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.029350Kurtosis (small sample)1.604304
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-0.268461TEST 1 (small sample)7.351695
TEST 1 Prob. (small sample)0.787200TEST 1 Prob. (small sample)0.000000
Observations499






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)-0.0293000.787200Trim. Kurtosis (0/499)1.6043000.000000
Trim. Skewness (1/499)-0.0156000.880800Trim. Kurtosis (1/499)0.8885000.000000
Trim. Skewness (2/499)-0.0944000.384400Trim. Kurtosis (2/499)0.4378000.045600
Trim. Skewness (3/499)-0.1246000.254200Trim. Kurtosis (3/499)0.1506000.490200
Trim. Skewness (4/499)-0.1348000.218600Trim. Kurtosis (4/499)0.0624000.771800
Trim. Skewness (5/499)-0.1377000.211200Trim. Kurtosis (5/499)-0.0036000.984000
Trim. Skewness (6/499)-0.1381000.211200Trim. Kurtosis (6/499)-0.0502000.818000
Trim. Skewness (7/499)-0.1320000.230200Trim. Kurtosis (7/499)-0.0911000.674400
Trim. Skewness (8/499)-0.1231000.267000Trim. Kurtosis (8/499)-0.1326000.548400
Trim. Skewness (9/499)-0.1142000.303000Trim. Kurtosis (9/499)-0.1767000.423800
Trim. Skewness (10/499)-0.1092000.327000Trim. Kurtosis (10/499)-0.2153000.332000
Trim. Skewness (11/499)-0.1088000.327000Trim. Kurtosis (11/499)-0.2458000.267000
Trim. Skewness (12/499)-0.1064000.337000Trim. Kurtosis (12/499)-0.2772000.215000
Trim. Skewness (13/499)-0.1043000.352400Trim. Kurtosis (13/499)-0.3127000.161600
Trim. Skewness (14/499)-0.1003000.368200Trim. Kurtosis (14/499)-0.3472000.121200
Trim. Skewness (15/499)-0.0998000.373400Trim. Kurtosis (15/499)-0.3744000.095000
Trim. Skewness (16/499)-0.0991000.378800Trim. Kurtosis (16/499)-0.3996000.075000
Trim. Skewness (17/499)-0.0947000.400800Trim. Kurtosis (17/499)-0.4221000.061400
Trim. Skewness (18/499)-0.0908000.418000Trim. Kurtosis (18/499)-0.4461000.048800
Trim. Skewness (19/499)-0.0859000.447200Trim. Kurtosis (19/499)-0.4727000.036600
Trim. Skewness (20/499)-0.0809000.477600Trim. Kurtosis (20/499)-0.5027000.026400
Trim. Skewness (21/499)-0.0775000.496400Trim. Kurtosis (21/499)-0.5299000.019800
Trim. Skewness (22/499)-0.0753000.509200Trim. Kurtosis (22/499)-0.5568000.014600
Trim. Skewness (23/499)-0.0734000.515600Trim. Kurtosis (23/499)-0.5842000.010400
Trim. Skewness (24/499)-0.0725000.522200Trim. Kurtosis (24/499)-0.6093000.007800
Trim. Skewness (25/499)-0.0708000.535200Trim. Kurtosis (25/499)-0.6347000.005600
Trim. Skewness (26/499)-0.0698000.541800Trim. Kurtosis (26/499)-0.6593000.004200
Trim. Skewness (27/499)-0.0667000.562000Trim. Kurtosis (27/499)-0.6800000.003200
Trim. Skewness (28/499)-0.0627000.582400Trim. Kurtosis (28/499)-0.6999000.002400
Trim. Skewness (29/499)-0.0591000.610000Trim. Kurtosis (29/499)-0.7177000.002000
Trim. Skewness (30/499)-0.0565000.624200Trim. Kurtosis (30/499)-0.7339000.001600
Trim. Skewness (31/499)-0.0545000.638400Trim. Kurtosis (31/499)-0.7501000.001200
Trim. Skewness (32/499)-0.0532000.645600Trim. Kurtosis (32/499)-0.7667000.001000
Trim. Skewness (33/499)-0.0533000.645600Trim. Kurtosis (33/499)-0.7785000.000800
Trim. Skewness (34/499)-0.0539000.645600Trim. Kurtosis (34/499)-0.7897000.000800
Trim. Skewness (35/499)-0.0557000.631200Trim. Kurtosis (35/499)-0.7989000.000600
Trim. Skewness (36/499)-0.0579000.624200Trim. Kurtosis (36/499)-0.8092000.000600
Trim. Skewness (37/499)-0.0607000.603000Trim. Kurtosis (37/499)-0.8203000.000600
Trim. Skewness (38/499)-0.0638000.589200Trim. Kurtosis (38/499)-0.8308000.000400
Trim. Skewness (39/499)-0.0651000.582400Trim. Kurtosis (39/499)-0.8395000.000400
Trim. Skewness (40/499)-0.0661000.575400Trim. Kurtosis (40/499)-0.8477000.000400

\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 (0/499)-0.0293000.787200 & Trim. Kurtosis (0/499)1.6043000.000000 \tabularnewline Trim. Skewness (1/499)-0.0156000.880800 & Trim. Kurtosis (1/499)0.8885000.000000 \tabularnewline Trim. Skewness (2/499)-0.0944000.384400 & Trim. Kurtosis (2/499)0.4378000.045600 \tabularnewline Trim. Skewness (3/499)-0.1246000.254200 & Trim. Kurtosis (3/499)0.1506000.490200 \tabularnewline Trim. Skewness (4/499)-0.1348000.218600 & Trim. Kurtosis (4/499)0.0624000.771800 \tabularnewline Trim. Skewness (5/499)-0.1377000.211200 & Trim. Kurtosis (5/499)-0.0036000.984000 \tabularnewline Trim. Skewness (6/499)-0.1381000.211200 & Trim. Kurtosis (6/499)-0.0502000.818000 \tabularnewline Trim. Skewness (7/499)-0.1320000.230200 & Trim. Kurtosis (7/499)-0.0911000.674400 \tabularnewline Trim. Skewness (8/499)-0.1231000.267000 & Trim. Kurtosis (8/499)-0.1326000.548400 \tabularnewline Trim. Skewness (9/499)-0.1142000.303000 & Trim. Kurtosis (9/499)-0.1767000.423800 \tabularnewline Trim. Skewness (10/499)-0.1092000.327000 & Trim. Kurtosis (10/499)-0.2153000.332000 \tabularnewline Trim. Skewness (11/499)-0.1088000.327000 & Trim. Kurtosis (11/499)-0.2458000.267000 \tabularnewline Trim. Skewness (12/499)-0.1064000.337000 & Trim. Kurtosis (12/499)-0.2772000.215000 \tabularnewline Trim. Skewness (13/499)-0.1043000.352400 & Trim. Kurtosis (13/499)-0.3127000.161600 \tabularnewline Trim. Skewness (14/499)-0.1003000.368200 & Trim. Kurtosis (14/499)-0.3472000.121200 \tabularnewline Trim. Skewness (15/499)-0.0998000.373400 & Trim. Kurtosis (15/499)-0.3744000.095000 \tabularnewline Trim. Skewness (16/499)-0.0991000.378800 & Trim. Kurtosis (16/499)-0.3996000.075000 \tabularnewline Trim. Skewness (17/499)-0.0947000.400800 & Trim. Kurtosis (17/499)-0.4221000.061400 \tabularnewline Trim. Skewness (18/499)-0.0908000.418000 & Trim. Kurtosis (18/499)-0.4461000.048800 \tabularnewline Trim. Skewness (19/499)-0.0859000.447200 & Trim. Kurtosis (19/499)-0.4727000.036600 \tabularnewline Trim. Skewness (20/499)-0.0809000.477600 & Trim. Kurtosis (20/499)-0.5027000.026400 \tabularnewline Trim. Skewness (21/499)-0.0775000.496400 & Trim. Kurtosis (21/499)-0.5299000.019800 \tabularnewline Trim. Skewness (22/499)-0.0753000.509200 & Trim. Kurtosis (22/499)-0.5568000.014600 \tabularnewline Trim. Skewness (23/499)-0.0734000.515600 & Trim. Kurtosis (23/499)-0.5842000.010400 \tabularnewline Trim. Skewness (24/499)-0.0725000.522200 & Trim. Kurtosis (24/499)-0.6093000.007800 \tabularnewline Trim. Skewness (25/499)-0.0708000.535200 & Trim. Kurtosis (25/499)-0.6347000.005600 \tabularnewline Trim. Skewness (26/499)-0.0698000.541800 & Trim. Kurtosis (26/499)-0.6593000.004200 \tabularnewline Trim. Skewness (27/499)-0.0667000.562000 & Trim. Kurtosis (27/499)-0.6800000.003200 \tabularnewline Trim. Skewness (28/499)-0.0627000.582400 & Trim. Kurtosis (28/499)-0.6999000.002400 \tabularnewline Trim. Skewness (29/499)-0.0591000.610000 & Trim. Kurtosis (29/499)-0.7177000.002000 \tabularnewline Trim. Skewness (30/499)-0.0565000.624200 & Trim. Kurtosis (30/499)-0.7339000.001600 \tabularnewline Trim. Skewness (31/499)-0.0545000.638400 & Trim. Kurtosis (31/499)-0.7501000.001200 \tabularnewline Trim. Skewness (32/499)-0.0532000.645600 & Trim. Kurtosis (32/499)-0.7667000.001000 \tabularnewline Trim. Skewness (33/499)-0.0533000.645600 & Trim. Kurtosis (33/499)-0.7785000.000800 \tabularnewline Trim. Skewness (34/499)-0.0539000.645600 & Trim. Kurtosis (34/499)-0.7897000.000800 \tabularnewline Trim. Skewness (35/499)-0.0557000.631200 & Trim. Kurtosis (35/499)-0.7989000.000600 \tabularnewline Trim. Skewness (36/499)-0.0579000.624200 & Trim. Kurtosis (36/499)-0.8092000.000600 \tabularnewline Trim. Skewness (37/499)-0.0607000.603000 & Trim. Kurtosis (37/499)-0.8203000.000600 \tabularnewline Trim. Skewness (38/499)-0.0638000.589200 & Trim. Kurtosis (38/499)-0.8308000.000400 \tabularnewline Trim. Skewness (39/499)-0.0651000.582400 & Trim. Kurtosis (39/499)-0.8395000.000400 \tabularnewline Trim. Skewness (40/499)-0.0661000.575400 & Trim. Kurtosis (40/499)-0.8477000.000400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104001&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 (0/499)[/C]-0.029300[/C]0.787200[/C][C]Trim. Kurtosis (0/499)[/C]1.604300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/499)[/C]-0.015600[/C]0.880800[/C][C]Trim. Kurtosis (1/499)[/C]0.888500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/499)[/C]-0.094400[/C]0.384400[/C][C]Trim. Kurtosis (2/499)[/C]0.437800[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (3/499)[/C]-0.124600[/C]0.254200[/C][C]Trim. Kurtosis (3/499)[/C]0.150600[/C]0.490200[/C][/ROW] [ROW][C]Trim. Skewness (4/499)[/C]-0.134800[/C]0.218600[/C][C]Trim. Kurtosis (4/499)[/C]0.062400[/C]0.771800[/C][/ROW] [ROW][C]Trim. Skewness (5/499)[/C]-0.137700[/C]0.211200[/C][C]Trim. Kurtosis (5/499)[/C]-0.003600[/C]0.984000[/C][/ROW] [ROW][C]Trim. Skewness (6/499)[/C]-0.138100[/C]0.211200[/C][C]Trim. Kurtosis (6/499)[/C]-0.050200[/C]0.818000[/C][/ROW] [ROW][C]Trim. Skewness (7/499)[/C]-0.132000[/C]0.230200[/C][C]Trim. Kurtosis (7/499)[/C]-0.091100[/C]0.674400[/C][/ROW] [ROW][C]Trim. Skewness (8/499)[/C]-0.123100[/C]0.267000[/C][C]Trim. Kurtosis (8/499)[/C]-0.132600[/C]0.548400[/C][/ROW] [ROW][C]Trim. Skewness (9/499)[/C]-0.114200[/C]0.303000[/C][C]Trim. Kurtosis (9/499)[/C]-0.176700[/C]0.423800[/C][/ROW] [ROW][C]Trim. Skewness (10/499)[/C]-0.109200[/C]0.327000[/C][C]Trim. Kurtosis (10/499)[/C]-0.215300[/C]0.332000[/C][/ROW] [ROW][C]Trim. Skewness (11/499)[/C]-0.108800[/C]0.327000[/C][C]Trim. Kurtosis (11/499)[/C]-0.245800[/C]0.267000[/C][/ROW] [ROW][C]Trim. Skewness (12/499)[/C]-0.106400[/C]0.337000[/C][C]Trim. Kurtosis (12/499)[/C]-0.277200[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (13/499)[/C]-0.104300[/C]0.352400[/C][C]Trim. Kurtosis (13/499)[/C]-0.312700[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (14/499)[/C]-0.100300[/C]0.368200[/C][C]Trim. Kurtosis (14/499)[/C]-0.347200[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (15/499)[/C]-0.099800[/C]0.373400[/C][C]Trim. Kurtosis (15/499)[/C]-0.374400[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (16/499)[/C]-0.099100[/C]0.378800[/C][C]Trim. Kurtosis (16/499)[/C]-0.399600[/C]0.075000[/C][/ROW] [ROW][C]Trim. Skewness (17/499)[/C]-0.094700[/C]0.400800[/C][C]Trim. Kurtosis (17/499)[/C]-0.422100[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (18/499)[/C]-0.090800[/C]0.418000[/C][C]Trim. Kurtosis (18/499)[/C]-0.446100[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (19/499)[/C]-0.085900[/C]0.447200[/C][C]Trim. Kurtosis (19/499)[/C]-0.472700[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (20/499)[/C]-0.080900[/C]0.477600[/C][C]Trim. Kurtosis (20/499)[/C]-0.502700[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (21/499)[/C]-0.077500[/C]0.496400[/C][C]Trim. Kurtosis (21/499)[/C]-0.529900[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (22/499)[/C]-0.075300[/C]0.509200[/C][C]Trim. Kurtosis (22/499)[/C]-0.556800[/C]0.014600[/C][/ROW] [ROW][C]Trim. Skewness (23/499)[/C]-0.073400[/C]0.515600[/C][C]Trim. Kurtosis (23/499)[/C]-0.584200[/C]0.010400[/C][/ROW] [ROW][C]Trim. Skewness (24/499)[/C]-0.072500[/C]0.522200[/C][C]Trim. Kurtosis (24/499)[/C]-0.609300[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (25/499)[/C]-0.070800[/C]0.535200[/C][C]Trim. Kurtosis (25/499)[/C]-0.634700[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (26/499)[/C]-0.069800[/C]0.541800[/C][C]Trim. Kurtosis (26/499)[/C]-0.659300[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (27/499)[/C]-0.066700[/C]0.562000[/C][C]Trim. Kurtosis (27/499)[/C]-0.680000[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (28/499)[/C]-0.062700[/C]0.582400[/C][C]Trim. Kurtosis (28/499)[/C]-0.699900[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (29/499)[/C]-0.059100[/C]0.610000[/C][C]Trim. Kurtosis (29/499)[/C]-0.717700[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (30/499)[/C]-0.056500[/C]0.624200[/C][C]Trim. Kurtosis (30/499)[/C]-0.733900[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (31/499)[/C]-0.054500[/C]0.638400[/C][C]Trim. Kurtosis (31/499)[/C]-0.750100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (32/499)[/C]-0.053200[/C]0.645600[/C][C]Trim. Kurtosis (32/499)[/C]-0.766700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (33/499)[/C]-0.053300[/C]0.645600[/C][C]Trim. Kurtosis (33/499)[/C]-0.778500[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (34/499)[/C]-0.053900[/C]0.645600[/C][C]Trim. Kurtosis (34/499)[/C]-0.789700[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (35/499)[/C]-0.055700[/C]0.631200[/C][C]Trim. Kurtosis (35/499)[/C]-0.798900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (36/499)[/C]-0.057900[/C]0.624200[/C][C]Trim. Kurtosis (36/499)[/C]-0.809200[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (37/499)[/C]-0.060700[/C]0.603000[/C][C]Trim. Kurtosis (37/499)[/C]-0.820300[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (38/499)[/C]-0.063800[/C]0.589200[/C][C]Trim. Kurtosis (38/499)[/C]-0.830800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (39/499)[/C]-0.065100[/C]0.582400[/C][C]Trim. Kurtosis (39/499)[/C]-0.839500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (40/499)[/C]-0.066100[/C]0.575400[/C][C]Trim. Kurtosis (40/499)[/C]-0.847700[/C]0.000400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104001&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104001&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 (0/499)-0.0293000.787200Trim. Kurtosis (0/499)1.6043000.000000
Trim. Skewness (1/499)-0.0156000.880800Trim. Kurtosis (1/499)0.8885000.000000
Trim. Skewness (2/499)-0.0944000.384400Trim. Kurtosis (2/499)0.4378000.045600
Trim. Skewness (3/499)-0.1246000.254200Trim. Kurtosis (3/499)0.1506000.490200
Trim. Skewness (4/499)-0.1348000.218600Trim. Kurtosis (4/499)0.0624000.771800
Trim. Skewness (5/499)-0.1377000.211200Trim. Kurtosis (5/499)-0.0036000.984000
Trim. Skewness (6/499)-0.1381000.211200Trim. Kurtosis (6/499)-0.0502000.818000
Trim. Skewness (7/499)-0.1320000.230200Trim. Kurtosis (7/499)-0.0911000.674400
Trim. Skewness (8/499)-0.1231000.267000Trim. Kurtosis (8/499)-0.1326000.548400
Trim. Skewness (9/499)-0.1142000.303000Trim. Kurtosis (9/499)-0.1767000.423800
Trim. Skewness (10/499)-0.1092000.327000Trim. Kurtosis (10/499)-0.2153000.332000
Trim. Skewness (11/499)-0.1088000.327000Trim. Kurtosis (11/499)-0.2458000.267000
Trim. Skewness (12/499)-0.1064000.337000Trim. Kurtosis (12/499)-0.2772000.215000
Trim. Skewness (13/499)-0.1043000.352400Trim. Kurtosis (13/499)-0.3127000.161600
Trim. Skewness (14/499)-0.1003000.368200Trim. Kurtosis (14/499)-0.3472000.121200
Trim. Skewness (15/499)-0.0998000.373400Trim. Kurtosis (15/499)-0.3744000.095000
Trim. Skewness (16/499)-0.0991000.378800Trim. Kurtosis (16/499)-0.3996000.075000
Trim. Skewness (17/499)-0.0947000.400800Trim. Kurtosis (17/499)-0.4221000.061400
Trim. Skewness (18/499)-0.0908000.418000Trim. Kurtosis (18/499)-0.4461000.048800
Trim. Skewness (19/499)-0.0859000.447200Trim. Kurtosis (19/499)-0.4727000.036600
Trim. Skewness (20/499)-0.0809000.477600Trim. Kurtosis (20/499)-0.5027000.026400
Trim. Skewness (21/499)-0.0775000.496400Trim. Kurtosis (21/499)-0.5299000.019800
Trim. Skewness (22/499)-0.0753000.509200Trim. Kurtosis (22/499)-0.5568000.014600
Trim. Skewness (23/499)-0.0734000.515600Trim. Kurtosis (23/499)-0.5842000.010400
Trim. Skewness (24/499)-0.0725000.522200Trim. Kurtosis (24/499)-0.6093000.007800
Trim. Skewness (25/499)-0.0708000.535200Trim. Kurtosis (25/499)-0.6347000.005600
Trim. Skewness (26/499)-0.0698000.541800Trim. Kurtosis (26/499)-0.6593000.004200
Trim. Skewness (27/499)-0.0667000.562000Trim. Kurtosis (27/499)-0.6800000.003200
Trim. Skewness (28/499)-0.0627000.582400Trim. Kurtosis (28/499)-0.6999000.002400
Trim. Skewness (29/499)-0.0591000.610000Trim. Kurtosis (29/499)-0.7177000.002000
Trim. Skewness (30/499)-0.0565000.624200Trim. Kurtosis (30/499)-0.7339000.001600
Trim. Skewness (31/499)-0.0545000.638400Trim. Kurtosis (31/499)-0.7501000.001200
Trim. Skewness (32/499)-0.0532000.645600Trim. Kurtosis (32/499)-0.7667000.001000
Trim. Skewness (33/499)-0.0533000.645600Trim. Kurtosis (33/499)-0.7785000.000800
Trim. Skewness (34/499)-0.0539000.645600Trim. Kurtosis (34/499)-0.7897000.000800
Trim. Skewness (35/499)-0.0557000.631200Trim. Kurtosis (35/499)-0.7989000.000600
Trim. Skewness (36/499)-0.0579000.624200Trim. Kurtosis (36/499)-0.8092000.000600
Trim. Skewness (37/499)-0.0607000.603000Trim. Kurtosis (37/499)-0.8203000.000600
Trim. Skewness (38/499)-0.0638000.589200Trim. Kurtosis (38/499)-0.8308000.000400
Trim. Skewness (39/499)-0.0651000.582400Trim. Kurtosis (39/499)-0.8395000.000400
Trim. Skewness (40/499)-0.0661000.575400Trim. Kurtosis (40/499)-0.8477000.000400


Figures (Output of Computation)

Input Parameters & R Code

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