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 18:39:31 +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/t1291142252a2ekqtl7um1mrzy.htm/, Retrieved Mon, 29 Apr 2024 15:37:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103725, Retrieved Mon, 29 Apr 2024 15:37:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact147

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D  [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:39:31] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
58,37708594
61,16112016
56,48725697
56,96663164
59,53376872
59,5866379
59,99357055
57,3154476
62,85409758
61,53287271
59,32695352
59,69493172
60,56339968
57,93999891
57,73449899
58,72178705
55,6721166
61,32071771
59,12948762
58,08172986
62,28183736
59,37105996
59,14171564
59,56696532
62,26037405
61,00913367
60,26957108
54,98176557
58,85766096
60,55552315
59,82559968
62,83306192
62,43594438
60,56281192
62,3945865
59,97746925
60,92222682
61,47935562
62,85565044
59,91682151
57,81241592
55,75297203
61,90724508
59,87953823
58,05548373
58,68553342
59,75742116
59,41307705
58,15827241
60,00618497
59,35447437
63,60965344
59,25905548
60,24817693
60,19957611
58,41838509
60,45026337
61,98671788
59,77722009
62,01461732
57,45711419
58,22613164
57,32364411
61,72886154
61,47752889
59,83242646
61,1166449
62,66588167
60,35098028
61,37523756
57,83912254
62,50930769
58,33732976
61,88210067
58,46909325
55,2554207
60,0506569
60,87779845
59,72977967
60,09468766
58,4617513
59,66687386
57,64175507
58,31510153
59,04722711
60,98289398
58,04718331
60,2935025
61,21998373
56,46855552
60,10186961
60,43665311
59,40090959
59,64296574
64,42623731
59,48163777
59,2380028
59,44808938
63,51980379
57,03481378
64,10730278
61,54883218
57,63569297
61,58613042
60,11312398
58,667393
60,03952879
58,74731181
58,66199649
62,96179806
60,49170092
61,50519998
60,4118376
55,93516975
58,40020775
60,14281255
59,29938815
60,33287182
58,63788969
58,22321729
57,08618301
58,40038385
59,31611245
61,78269496
62,63335905
59,52162121
62,78981256
58,00037383
60,49936768
59,40847026
63,08846094
58,78451953
58,13210982
62,33052544
61,73611171
59,0927168
59,27769347
59,86174238
58,84816163
64,34998155
63,42771597
64,12763427
63,93961249
60,9680154
58,33391009
63,27514106
60,19672888
58,7862466
60,35668896
61,96429218
59,34726485
59,16935424
61,46922917
60,82709062
62,52665714
54,53313208
60,9749153
60,87379558
57,6390532
58,75087582
62,06289394
59,1488025
55,18347529
62,67320095
62,97055087
59,85444303
58,315648
60,30823755
63,30711637
61,71071393
59,935183
59,63821971
57,74421985
60,95720855
60,9141347
59,96816046
61,43592582
55,10599544
58,24769509
58,44535683
59,97902854
59,48861522
59,39004899
59,64359769
61,46149471
62,18662471
60,0519608
59,46819521
56,31620951
60,33741725
61,44968205
60,85977047
60,9797507
61,13526465
60,29500338
62,88881304
59,5848974
61,36401542
62,13727541
62,83907684
60,2043073
59,75238473
60,01880349
59,38215602
63,03771548
57,49514281
55,43993505
61,67550564
59,94916613
57,43601959
59,67800442
59,05247688
63,01816682
59,27536989
63,37161782
62,4115029
57,72814361
59,47494967
56,36713842
60,30497819
57,02266801
58,22350349
63,50634802
58,17063767
60,72382915
61,28425871
60,65653077
57,19587376
59,61427318
57,4589009
62,87337119
61,82859958
61,7500458
60,30027418
59,04964161
59,29075638
59,4953746
60,75452545
58,29679677
60,51376012
58,98941918
60,20187621
60,87293547
58,5718524
61,55344836
58,98868367
58,21668318
62,66865194
59,43177112
60,32201332
59,29409863
62,47424772
62,86867116
58,34113512
58,1233466
58,0377697
60,18200522
60,51941297
57,8035092
60,74709632
62,80182744
60,75378514
63,11229511
59,59658711
59,68276061
59,45573868
56,29984198
57,13655695
60,45044986
59,91483524
59,85272795
60,10944822
55,46492292
60,83441835
59,6744706
61,06086801
57,91716562
61,65781709
59,13610931
63,10164514
61,47379629
59,5254581
59,78711187
57,91579555
61,55990873
60,69806925
62,22902783
63,1623093
64,09675456
56,19479185
59,91194643
60,219649
61,22741474
63,10006921
60,10619118
62,33453538
60,08034372
63,21346959
57,12960924
57,62831638
60,31589704
58,94941981
58,59270239
62,02089787
58,00321517
59,56011293
59,6018412
59,6309103
61,6882103
63,83779012
59,28835809
60,0136224
60,56595751
56,36718759
61,16437008
62,27167923
61,73508702
60,63729043
62,09207518
59,35036945
60,02368035
60,4640381
60,38625839
59,80658454
60,21777326
61,01370727
59,20702432
59,15607537
56,40158196
61,13489044
58,14210445
59,10016575
60,04784201
58,9814194
58,8290968
58,88055905
63,42485237
58,85492417
58,32107537
60,9562275
60,13679714
60,15762189
60,81822729
60,19565262
57,51620297
65,95097214
61,29106678
59,77646261
58,01658512
59,47715089
59,27090987
63,37398935
58,09691537
59,74260255
62,21042592
60,86727031
61,36574636
56,62779364
58,04917471
62,32510791
60,62221636
59,6595985
55,67863423
57,10619373
64,70034396
56,88878085
58,21863441
61,82853999
60,69519546
56,50991946
59,77275718
56,84354204
61,70082746
60,00700042
57,73561154
57,76840391
62,91153991
58,32335225
59,50342907
60,15755891
57,62538906
60,66927963
59,29936011
60,00592475
55,06995186
59,37542719
55,53087826
63,57713207
61,23781322
60,41507341
63,21003859
61,73032515
64,19127467
58,39453819
60,67372442
59,09099104
62,22726099
60,88709425
58,81534298
61,22172264
58,15068712
61,72975587
59,48203237
60,58585202
60,07438936
61,16812321
58,8665386
55,58641258
58,2409571
57,89750588
57,79855348
61,55814263
57,18903672
59,26689355
62,64947182
59,68053149
59,14150534
57,95351223
59,08908255
60,32991252
63,99773298
61,39331723
58,28460936
58,52056733
59,60526441
59,06288365
59,077988
60,11958366
63,2956007
62,39930197
57,62589817
59,31690317
56,18919453
60,51216052
60,60897153
61,12765578
62,69884585
64,44123546
61,36069392
62,99820535
64,68746745
63,73706858
62,13474399
59,88745636
64,33562194
59,46386612
62,44976684
60,88464395
60,49471345
58,91545692
58,89550127
59,75207523
60,92475355
61,11488945
60,33230273
59,66845905
61,57954678
64,56088617
62,17129862
61,44702558
61,36257813
63,84640724
57,52498815
62,24176581
64,98969161
58,84347948
60,43235821
58,19439097
61,72242265
59,51510737
57,3811247
62,54381218
60,66948129
61,03247911
54,6074736
60,29018892
59,87881738
62,79017558
60,91747511
60,81941913
60,73592447
58,7390454
59,57948968
60,97039758
55,81207681
60,10686572
61,22217926
62,62696372
59,47087435
58,19042225
58,72312428
62,28168086
56,89971163
59,70052551
61,7980746
60,96225958
58,87498669
62,77619304
56,23140148
58,44574964

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.430769FISHER 4th Cent. Mom.48.399751
FISHER beta 10.002778FISHER beta 22.940139
FISHER gamma 1-0.052709FISHER gamma 2-0.059861
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.481168FISHER Test 2-0.273226
FISHER Test 1 Probability0.624200FISHER Test 2 Probability0.779400
Pearson 20.064188
Yule using Quartile definition:Weighted Average at Xnp0.054408
Yule using Quartile definition:Weighted Average at X(n+1)p0.062304
Yule using Quartile definition:Empirical Distribution Function0.054408
Yule using Quartile definition:Empirical Distribution Function - Averaging0.063654
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.065017
Yule using Quartile definition:Closest Observation0.054408
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.065017
Yule using Quartile definition:MS Excel (old versions)0.060965
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.052868Kurtosis (small sample)-0.048367
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.484061TEST 1 (small sample)-0.221861
TEST 1 Prob. (small sample)0.624200TEST 1 Prob. (small sample)0.818000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.430769 & FISHER 4th Cent. Mom.48.399751 \tabularnewline FISHER beta 10.002778 & FISHER beta 22.940139 \tabularnewline FISHER gamma 1-0.052709 & FISHER gamma 2-0.059861 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-0.481168 & FISHER Test 2-0.273226 \tabularnewline FISHER Test 1 Probability0.624200 & FISHER Test 2 Probability0.779400 \tabularnewline Pearson 20.064188 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.054408 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.062304 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.054408 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.063654 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.065017 & & \tabularnewline Yule using Quartile definition:Closest Observation0.054408 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.065017 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.060965 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.052868 & Kurtosis (small sample)-0.048367 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-0.484061 & TEST 1 (small sample)-0.221861 \tabularnewline TEST 1 Prob. (small sample)0.624200 & TEST 1 Prob. (small sample)0.818000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103725&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]-0.430769[/C][C]FISHER 4th Cent. Mom.[/C]48.399751[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.002778[/C][C]FISHER beta 2[/C]2.940139[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.052709[/C][C]FISHER gamma 2[/C]-0.059861[/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]-0.481168[/C][C]FISHER Test 2[/C]-0.273226[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.624200[/C][C]FISHER Test 2 Probability[/C]0.779400[/C][/ROW] [ROW][C]Pearson 2[/C]0.064188[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.054408[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.062304[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.054408[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.063654[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.065017[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.054408[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.065017[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.060965[/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]-0.052868[/C][C]Kurtosis (small sample)[/C]-0.048367[/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]-0.484061[/C][C]TEST 1 (small sample)[/C]-0.221861[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.624200[/C][C]TEST 1 Prob. (small sample)[/C]0.818000[/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=103725&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103725&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.-0.430769FISHER 4th Cent. Mom.48.399751
FISHER beta 10.002778FISHER beta 22.940139
FISHER gamma 1-0.052709FISHER gamma 2-0.059861
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.481168FISHER Test 2-0.273226
FISHER Test 1 Probability0.624200FISHER Test 2 Probability0.779400
Pearson 20.064188
Yule using Quartile definition:Weighted Average at Xnp0.054408
Yule using Quartile definition:Weighted Average at X(n+1)p0.062304
Yule using Quartile definition:Empirical Distribution Function0.054408
Yule using Quartile definition:Empirical Distribution Function - Averaging0.063654
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.065017
Yule using Quartile definition:Closest Observation0.054408
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.065017
Yule using Quartile definition:MS Excel (old versions)0.060965
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.052868Kurtosis (small sample)-0.048367
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.484061TEST 1 (small sample)-0.221861
TEST 1 Prob. (small sample)0.624200TEST 1 Prob. (small sample)0.818000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0529000.624200Trim. Kurtosis (0/500)-0.0484000.818000
Trim. Skewness (1/500)-0.0638000.555200Trim. Kurtosis (1/500)-0.1394000.522200
Trim. Skewness (2/500)-0.0569000.603000Trim. Kurtosis (2/500)-0.1888000.384400
Trim. Skewness (3/500)-0.0519000.631200Trim. Kurtosis (3/500)-0.2173000.317400
Trim. Skewness (4/500)-0.0479000.660000Trim. Kurtosis (4/500)-0.2470000.258400
Trim. Skewness (5/500)-0.0422000.696600Trim. Kurtosis (5/500)-0.2765000.207600
Trim. Skewness (6/500)-0.0356000.741400Trim. Kurtosis (6/500)-0.3042000.167600
Trim. Skewness (7/500)-0.0296000.787200Trim. Kurtosis (7/500)-0.3331000.131000
Trim. Skewness (8/500)-0.0253000.818000Trim. Kurtosis (8/500)-0.3567000.105200
Trim. Skewness (9/500)-0.0209000.849200Trim. Kurtosis (9/500)-0.3832000.083600
Trim. Skewness (10/500)-0.0151000.888600Trim. Kurtosis (10/500)-0.4071000.065800
Trim. Skewness (11/500)-0.0089000.936200Trim. Kurtosis (11/500)-0.4311000.052400
Trim. Skewness (12/500)-0.0035000.968000Trim. Kurtosis (12/500)-0.4549000.041400
Trim. Skewness (13/500)0.0024000.976000Trim. Kurtosis (13/500)-0.4823000.030800
Trim. Skewness (14/500)0.0088000.936200Trim. Kurtosis (14/500)-0.5079000.023200
Trim. Skewness (15/500)0.0155000.888600Trim. Kurtosis (15/500)-0.5334000.017400
Trim. Skewness (16/500)0.0217000.841400Trim. Kurtosis (16/500)-0.5549000.013600
Trim. Skewness (17/500)0.0240000.825800Trim. Kurtosis (17/500)-0.5700000.011400
Trim. Skewness (18/500)0.0278000.802600Trim. Kurtosis (18/500)-0.5848000.009600
Trim. Skewness (19/500)0.0331000.764200Trim. Kurtosis (19/500)-0.5978000.008200
Trim. Skewness (20/500)0.0380000.733800Trim. Kurtosis (20/500)-0.6099000.007200
Trim. Skewness (21/500)0.0437000.696600Trim. Kurtosis (21/500)-0.6224000.006200
Trim. Skewness (22/500)0.0491000.667200Trim. Kurtosis (22/500)-0.6351000.005200
Trim. Skewness (23/500)0.0560000.624200Trim. Kurtosis (23/500)-0.6483000.004600
Trim. Skewness (24/500)0.0627000.582400Trim. Kurtosis (24/500)-0.6626000.003800
Trim. Skewness (25/500)0.0692000.541800Trim. Kurtosis (25/500)-0.6756000.003200
Trim. Skewness (26/500)0.0759000.509200Trim. Kurtosis (26/500)-0.6902000.002600
Trim. Skewness (27/500)0.0835000.465400Trim. Kurtosis (27/500)-0.7049000.002200
Trim. Skewness (28/500)0.0895000.435400Trim. Kurtosis (28/500)-0.7172000.001800
Trim. Skewness (29/500)0.0924000.423800Trim. Kurtosis (29/500)-0.7241000.001800
Trim. Skewness (30/500)0.0955000.406600Trim. Kurtosis (30/500)-0.7298000.001600
Trim. Skewness (31/500)0.0987000.395400Trim. Kurtosis (31/500)-0.7367000.001600
Trim. Skewness (32/500)0.1016000.384400Trim. Kurtosis (32/500)-0.7419000.001400
Trim. Skewness (33/500)0.1045000.368200Trim. Kurtosis (33/500)-0.7459000.001400
Trim. Skewness (34/500)0.1074000.357600Trim. Kurtosis (34/500)-0.7505000.001400
Trim. Skewness (35/500)0.1097000.347200Trim. Kurtosis (35/500)-0.7551000.001200
Trim. Skewness (36/500)0.1119000.342200Trim. Kurtosis (36/500)-0.7602000.001200
Trim. Skewness (37/500)0.1146000.332000Trim. Kurtosis (37/500)-0.7648000.001200
Trim. Skewness (38/500)0.1176000.317400Trim. Kurtosis (38/500)-0.7700000.001200
Trim. Skewness (39/500)0.1201000.307800Trim. Kurtosis (39/500)-0.7746000.001000
Trim. Skewness (40/500)0.1231000.298400Trim. Kurtosis (40/500)-0.7796000.001000

\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)-0.0529000.624200 & Trim. Kurtosis (0/500)-0.0484000.818000 \tabularnewline Trim. Skewness (1/500)-0.0638000.555200 & Trim. Kurtosis (1/500)-0.1394000.522200 \tabularnewline Trim. Skewness (2/500)-0.0569000.603000 & Trim. Kurtosis (2/500)-0.1888000.384400 \tabularnewline Trim. Skewness (3/500)-0.0519000.631200 & Trim. Kurtosis (3/500)-0.2173000.317400 \tabularnewline Trim. Skewness (4/500)-0.0479000.660000 & Trim. Kurtosis (4/500)-0.2470000.258400 \tabularnewline Trim. Skewness (5/500)-0.0422000.696600 & Trim. Kurtosis (5/500)-0.2765000.207600 \tabularnewline Trim. Skewness (6/500)-0.0356000.741400 & Trim. Kurtosis (6/500)-0.3042000.167600 \tabularnewline Trim. Skewness (7/500)-0.0296000.787200 & Trim. Kurtosis (7/500)-0.3331000.131000 \tabularnewline Trim. Skewness (8/500)-0.0253000.818000 & Trim. Kurtosis (8/500)-0.3567000.105200 \tabularnewline Trim. Skewness (9/500)-0.0209000.849200 & Trim. Kurtosis (9/500)-0.3832000.083600 \tabularnewline Trim. Skewness (10/500)-0.0151000.888600 & Trim. Kurtosis (10/500)-0.4071000.065800 \tabularnewline Trim. Skewness (11/500)-0.0089000.936200 & Trim. Kurtosis (11/500)-0.4311000.052400 \tabularnewline Trim. Skewness (12/500)-0.0035000.968000 & Trim. Kurtosis (12/500)-0.4549000.041400 \tabularnewline Trim. Skewness (13/500)0.0024000.976000 & Trim. Kurtosis (13/500)-0.4823000.030800 \tabularnewline Trim. Skewness (14/500)0.0088000.936200 & Trim. Kurtosis (14/500)-0.5079000.023200 \tabularnewline Trim. Skewness (15/500)0.0155000.888600 & Trim. Kurtosis (15/500)-0.5334000.017400 \tabularnewline Trim. Skewness (16/500)0.0217000.841400 & Trim. Kurtosis (16/500)-0.5549000.013600 \tabularnewline Trim. Skewness (17/500)0.0240000.825800 & Trim. Kurtosis (17/500)-0.5700000.011400 \tabularnewline Trim. Skewness (18/500)0.0278000.802600 & Trim. Kurtosis (18/500)-0.5848000.009600 \tabularnewline Trim. Skewness (19/500)0.0331000.764200 & Trim. Kurtosis (19/500)-0.5978000.008200 \tabularnewline Trim. Skewness (20/500)0.0380000.733800 & Trim. Kurtosis (20/500)-0.6099000.007200 \tabularnewline Trim. Skewness (21/500)0.0437000.696600 & Trim. Kurtosis (21/500)-0.6224000.006200 \tabularnewline Trim. Skewness (22/500)0.0491000.667200 & Trim. Kurtosis (22/500)-0.6351000.005200 \tabularnewline Trim. Skewness (23/500)0.0560000.624200 & Trim. Kurtosis (23/500)-0.6483000.004600 \tabularnewline Trim. Skewness (24/500)0.0627000.582400 & Trim. Kurtosis (24/500)-0.6626000.003800 \tabularnewline Trim. Skewness (25/500)0.0692000.541800 & Trim. Kurtosis (25/500)-0.6756000.003200 \tabularnewline Trim. Skewness (26/500)0.0759000.509200 & Trim. Kurtosis (26/500)-0.6902000.002600 \tabularnewline Trim. Skewness (27/500)0.0835000.465400 & Trim. Kurtosis (27/500)-0.7049000.002200 \tabularnewline Trim. Skewness (28/500)0.0895000.435400 & Trim. Kurtosis (28/500)-0.7172000.001800 \tabularnewline Trim. Skewness (29/500)0.0924000.423800 & Trim. Kurtosis (29/500)-0.7241000.001800 \tabularnewline Trim. Skewness (30/500)0.0955000.406600 & Trim. Kurtosis (30/500)-0.7298000.001600 \tabularnewline Trim. Skewness (31/500)0.0987000.395400 & Trim. Kurtosis (31/500)-0.7367000.001600 \tabularnewline Trim. Skewness (32/500)0.1016000.384400 & Trim. Kurtosis (32/500)-0.7419000.001400 \tabularnewline Trim. Skewness (33/500)0.1045000.368200 & Trim. Kurtosis (33/500)-0.7459000.001400 \tabularnewline Trim. Skewness (34/500)0.1074000.357600 & Trim. Kurtosis (34/500)-0.7505000.001400 \tabularnewline Trim. Skewness (35/500)0.1097000.347200 & Trim. Kurtosis (35/500)-0.7551000.001200 \tabularnewline Trim. Skewness (36/500)0.1119000.342200 & Trim. Kurtosis (36/500)-0.7602000.001200 \tabularnewline Trim. Skewness (37/500)0.1146000.332000 & Trim. Kurtosis (37/500)-0.7648000.001200 \tabularnewline Trim. Skewness (38/500)0.1176000.317400 & Trim. Kurtosis (38/500)-0.7700000.001200 \tabularnewline Trim. Skewness (39/500)0.1201000.307800 & Trim. Kurtosis (39/500)-0.7746000.001000 \tabularnewline Trim. Skewness (40/500)0.1231000.298400 & Trim. Kurtosis (40/500)-0.7796000.001000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103725&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]-0.052900[/C]0.624200[/C][C]Trim. Kurtosis (0/500)[/C]-0.048400[/C]0.818000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.063800[/C]0.555200[/C][C]Trim. Kurtosis (1/500)[/C]-0.139400[/C]0.522200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.056900[/C]0.603000[/C][C]Trim. Kurtosis (2/500)[/C]-0.188800[/C]0.384400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.051900[/C]0.631200[/C][C]Trim. Kurtosis (3/500)[/C]-0.217300[/C]0.317400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.047900[/C]0.660000[/C][C]Trim. Kurtosis (4/500)[/C]-0.247000[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.042200[/C]0.696600[/C][C]Trim. Kurtosis (5/500)[/C]-0.276500[/C]0.207600[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.035600[/C]0.741400[/C][C]Trim. Kurtosis (6/500)[/C]-0.304200[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.029600[/C]0.787200[/C][C]Trim. Kurtosis (7/500)[/C]-0.333100[/C]0.131000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.025300[/C]0.818000[/C][C]Trim. Kurtosis (8/500)[/C]-0.356700[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.020900[/C]0.849200[/C][C]Trim. Kurtosis (9/500)[/C]-0.383200[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.015100[/C]0.888600[/C][C]Trim. Kurtosis (10/500)[/C]-0.407100[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.008900[/C]0.936200[/C][C]Trim. Kurtosis (11/500)[/C]-0.431100[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.003500[/C]0.968000[/C][C]Trim. Kurtosis (12/500)[/C]-0.454900[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.002400[/C]0.976000[/C][C]Trim. Kurtosis (13/500)[/C]-0.482300[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.008800[/C]0.936200[/C][C]Trim. Kurtosis (14/500)[/C]-0.507900[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.015500[/C]0.888600[/C][C]Trim. Kurtosis (15/500)[/C]-0.533400[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.021700[/C]0.841400[/C][C]Trim. Kurtosis (16/500)[/C]-0.554900[/C]0.013600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.024000[/C]0.825800[/C][C]Trim. Kurtosis (17/500)[/C]-0.570000[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.027800[/C]0.802600[/C][C]Trim. Kurtosis (18/500)[/C]-0.584800[/C]0.009600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.033100[/C]0.764200[/C][C]Trim. Kurtosis (19/500)[/C]-0.597800[/C]0.008200[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.038000[/C]0.733800[/C][C]Trim. Kurtosis (20/500)[/C]-0.609900[/C]0.007200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.043700[/C]0.696600[/C][C]Trim. Kurtosis (21/500)[/C]-0.622400[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.049100[/C]0.667200[/C][C]Trim. Kurtosis (22/500)[/C]-0.635100[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.056000[/C]0.624200[/C][C]Trim. Kurtosis (23/500)[/C]-0.648300[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.062700[/C]0.582400[/C][C]Trim. Kurtosis (24/500)[/C]-0.662600[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.069200[/C]0.541800[/C][C]Trim. Kurtosis (25/500)[/C]-0.675600[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.075900[/C]0.509200[/C][C]Trim. Kurtosis (26/500)[/C]-0.690200[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.083500[/C]0.465400[/C][C]Trim. Kurtosis (27/500)[/C]-0.704900[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.089500[/C]0.435400[/C][C]Trim. Kurtosis (28/500)[/C]-0.717200[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.092400[/C]0.423800[/C][C]Trim. Kurtosis (29/500)[/C]-0.724100[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.095500[/C]0.406600[/C][C]Trim. Kurtosis (30/500)[/C]-0.729800[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.098700[/C]0.395400[/C][C]Trim. Kurtosis (31/500)[/C]-0.736700[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.101600[/C]0.384400[/C][C]Trim. Kurtosis (32/500)[/C]-0.741900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.104500[/C]0.368200[/C][C]Trim. Kurtosis (33/500)[/C]-0.745900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.107400[/C]0.357600[/C][C]Trim. Kurtosis (34/500)[/C]-0.750500[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.109700[/C]0.347200[/C][C]Trim. Kurtosis (35/500)[/C]-0.755100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.111900[/C]0.342200[/C][C]Trim. Kurtosis (36/500)[/C]-0.760200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.114600[/C]0.332000[/C][C]Trim. Kurtosis (37/500)[/C]-0.764800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.117600[/C]0.317400[/C][C]Trim. Kurtosis (38/500)[/C]-0.770000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.120100[/C]0.307800[/C][C]Trim. Kurtosis (39/500)[/C]-0.774600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.123100[/C]0.298400[/C][C]Trim. Kurtosis (40/500)[/C]-0.779600[/C]0.001000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103725&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103725&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)-0.0529000.624200Trim. Kurtosis (0/500)-0.0484000.818000
Trim. Skewness (1/500)-0.0638000.555200Trim. Kurtosis (1/500)-0.1394000.522200
Trim. Skewness (2/500)-0.0569000.603000Trim. Kurtosis (2/500)-0.1888000.384400
Trim. Skewness (3/500)-0.0519000.631200Trim. Kurtosis (3/500)-0.2173000.317400
Trim. Skewness (4/500)-0.0479000.660000Trim. Kurtosis (4/500)-0.2470000.258400
Trim. Skewness (5/500)-0.0422000.696600Trim. Kurtosis (5/500)-0.2765000.207600
Trim. Skewness (6/500)-0.0356000.741400Trim. Kurtosis (6/500)-0.3042000.167600
Trim. Skewness (7/500)-0.0296000.787200Trim. Kurtosis (7/500)-0.3331000.131000
Trim. Skewness (8/500)-0.0253000.818000Trim. Kurtosis (8/500)-0.3567000.105200
Trim. Skewness (9/500)-0.0209000.849200Trim. Kurtosis (9/500)-0.3832000.083600
Trim. Skewness (10/500)-0.0151000.888600Trim. Kurtosis (10/500)-0.4071000.065800
Trim. Skewness (11/500)-0.0089000.936200Trim. Kurtosis (11/500)-0.4311000.052400
Trim. Skewness (12/500)-0.0035000.968000Trim. Kurtosis (12/500)-0.4549000.041400
Trim. Skewness (13/500)0.0024000.976000Trim. Kurtosis (13/500)-0.4823000.030800
Trim. Skewness (14/500)0.0088000.936200Trim. Kurtosis (14/500)-0.5079000.023200
Trim. Skewness (15/500)0.0155000.888600Trim. Kurtosis (15/500)-0.5334000.017400
Trim. Skewness (16/500)0.0217000.841400Trim. Kurtosis (16/500)-0.5549000.013600
Trim. Skewness (17/500)0.0240000.825800Trim. Kurtosis (17/500)-0.5700000.011400
Trim. Skewness (18/500)0.0278000.802600Trim. Kurtosis (18/500)-0.5848000.009600
Trim. Skewness (19/500)0.0331000.764200Trim. Kurtosis (19/500)-0.5978000.008200
Trim. Skewness (20/500)0.0380000.733800Trim. Kurtosis (20/500)-0.6099000.007200
Trim. Skewness (21/500)0.0437000.696600Trim. Kurtosis (21/500)-0.6224000.006200
Trim. Skewness (22/500)0.0491000.667200Trim. Kurtosis (22/500)-0.6351000.005200
Trim. Skewness (23/500)0.0560000.624200Trim. Kurtosis (23/500)-0.6483000.004600
Trim. Skewness (24/500)0.0627000.582400Trim. Kurtosis (24/500)-0.6626000.003800
Trim. Skewness (25/500)0.0692000.541800Trim. Kurtosis (25/500)-0.6756000.003200
Trim. Skewness (26/500)0.0759000.509200Trim. Kurtosis (26/500)-0.6902000.002600
Trim. Skewness (27/500)0.0835000.465400Trim. Kurtosis (27/500)-0.7049000.002200
Trim. Skewness (28/500)0.0895000.435400Trim. Kurtosis (28/500)-0.7172000.001800
Trim. Skewness (29/500)0.0924000.423800Trim. Kurtosis (29/500)-0.7241000.001800
Trim. Skewness (30/500)0.0955000.406600Trim. Kurtosis (30/500)-0.7298000.001600
Trim. Skewness (31/500)0.0987000.395400Trim. Kurtosis (31/500)-0.7367000.001600
Trim. Skewness (32/500)0.1016000.384400Trim. Kurtosis (32/500)-0.7419000.001400
Trim. Skewness (33/500)0.1045000.368200Trim. Kurtosis (33/500)-0.7459000.001400
Trim. Skewness (34/500)0.1074000.357600Trim. Kurtosis (34/500)-0.7505000.001400
Trim. Skewness (35/500)0.1097000.347200Trim. Kurtosis (35/500)-0.7551000.001200
Trim. Skewness (36/500)0.1119000.342200Trim. Kurtosis (36/500)-0.7602000.001200
Trim. Skewness (37/500)0.1146000.332000Trim. Kurtosis (37/500)-0.7648000.001200
Trim. Skewness (38/500)0.1176000.317400Trim. Kurtosis (38/500)-0.7700000.001200
Trim. Skewness (39/500)0.1201000.307800Trim. Kurtosis (39/500)-0.7746000.001000
Trim. Skewness (40/500)0.1231000.298400Trim. Kurtosis (40/500)-0.7796000.001000


Figures (Output of Computation)

Input Parameters & R Code

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