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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 18:40:29 +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/t12911423191k39i4ljroytthc.htm/, Retrieved Mon, 29 Apr 2024 09:13:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103726, Retrieved Mon, 29 Apr 2024 09:13:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact144

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 18:40:29] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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120,7090845
120,0371714
120,914272
120,3073777
117,8523502
118,6643531
122,8902955
119,6013724
120,3137233
121,9236932
121,8179131
118,5257601
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117,2946984
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116,9717042
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117,4554007
119,2606334
116,6889688
120,868236
117,7502193
119,7796193
119,786302
118,5876355
122,5026374
118,0968183
122,2677962
119,3458097
121,0739834
119,6011796
121,2101601
123,9327506
116,1736155
119,3817419
121,2077439
120,1250376
117,0189978
119,0728048
121,6557927
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119,6231787
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123,1519783
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117,2957305
119,8551206
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123,9816726
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122,5296425
121,0622738
123,4617539
117,3785042
118,2889158
121,8467214
117,7804599
118,3190815
122,1243349
120,6138663
119,7044919
122,3267978
120,0134006
120,7608666
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118,4061953
120,0071724
116,8740023
119,875708
120,2653674
118,8572721
122,3547112
121,3264225
122,9122674
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118,2160882
122,7519989
120,3469384
122,3364821
122,8314374
114,5918063
118,0930833
120,9514367
123,4620906
123,9269949
119,8241927
117,5794445
119,0724098
117,3254005
123,0389992
117,9247705
120,5734749
121,508804
119,6548463
119,6856447
123,0228991
122,9456243
122,1262404
121,0325496
119,8761726
116,9680647
119,332515
118,2387731
119,8141969
120,0298669
119,5635984
122,827786
118,8134304
118,0909443
116,8889167
122,0073288
120,7001103
119,7992981
118,6563173
119,5081917
123,3155805
119,9339029
117,4835646
120,7727557
118,3606054
119,1956632
117,2816075
120,8640263
119,5464351
118,5829279
123,7351571
118,8547861
121,6521871
120,4752321
120,286026
121,5543372
117,2519579
120,6266423
118,3747427
123,097975
116,5568837
118,366881
120,4652774
120,3858046
120,8372369
118,0789357
118,5473939
119,5135862
123,4991292
117,6748007
117,0426307
123,7346092
117,4750686
118,0604999
118,3988993
118,183015
121,5313278
120,9279303
120,5746641
117,750691
116,6914282
121,4972872
120,6635299
122,6478466
121,0563369
119,3705294
121,0469833
120,7891953
123,917426
121,0257949
122,3598412
122,7359861
121,6219111
119,2646157
117,6313257
114,3307295
119,7149416
122,810552
117,4632382
120,7271128

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.604462FISHER 4th Cent. Mom.47.482154
FISHER beta 10.005528FISHER beta 22.904613
FISHER gamma 1-0.074351FISHER gamma 2-0.095387
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.678730FISHER Test 2-0.435379
FISHER Test 1 Probability0.496400FISHER Test 2 Probability0.660000
Pearson 2-0.005341
Yule using Quartile definition:Weighted Average at Xnp-0.034251
Yule using Quartile definition:Weighted Average at X(n+1)p-0.027853
Yule using Quartile definition:Empirical Distribution Function-0.034251
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.029105
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.030363
Yule using Quartile definition:Closest Observation-0.034251
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.030363
Yule using Quartile definition:MS Excel (old versions)-0.026608
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.074575Kurtosis (small sample)-0.084251
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.682811TEST 1 (small sample)-0.386461
TEST 1 Prob. (small sample)0.490200TEST 1 Prob. (small sample)0.696600
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.604462 & FISHER 4th Cent. Mom.47.482154 \tabularnewline FISHER beta 10.005528 & FISHER beta 22.904613 \tabularnewline FISHER gamma 1-0.074351 & FISHER gamma 2-0.095387 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-0.678730 & FISHER Test 2-0.435379 \tabularnewline FISHER Test 1 Probability0.496400 & FISHER Test 2 Probability0.660000 \tabularnewline Pearson 2-0.005341 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.034251 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.027853 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.034251 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.029105 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.030363 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.034251 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.030363 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.026608 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.074575 & Kurtosis (small sample)-0.084251 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-0.682811 & TEST 1 (small sample)-0.386461 \tabularnewline TEST 1 Prob. (small sample)0.490200 & TEST 1 Prob. (small sample)0.696600 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103726&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]-0.604462[/C][C]FISHER 4th Cent. Mom.[/C]47.482154[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.005528[/C][C]FISHER beta 2[/C]2.904613[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.074351[/C][C]FISHER gamma 2[/C]-0.095387[/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]-0.678730[/C][C]FISHER Test 2[/C]-0.435379[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.496400[/C][C]FISHER Test 2 Probability[/C]0.660000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.005341[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.034251[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.027853[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.034251[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.029105[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.030363[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.034251[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.030363[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.026608[/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]-0.074575[/C][C]Kurtosis (small sample)[/C]-0.084251[/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]-0.682811[/C][C]TEST 1 (small sample)[/C]-0.386461[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.490200[/C][C]TEST 1 Prob. (small sample)[/C]0.696600[/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=103726&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103726&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.-0.604462FISHER 4th Cent. Mom.47.482154
FISHER beta 10.005528FISHER beta 22.904613
FISHER gamma 1-0.074351FISHER gamma 2-0.095387
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.678730FISHER Test 2-0.435379
FISHER Test 1 Probability0.496400FISHER Test 2 Probability0.660000
Pearson 2-0.005341
Yule using Quartile definition:Weighted Average at Xnp-0.034251
Yule using Quartile definition:Weighted Average at X(n+1)p-0.027853
Yule using Quartile definition:Empirical Distribution Function-0.034251
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.029105
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.030363
Yule using Quartile definition:Closest Observation-0.034251
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.030363
Yule using Quartile definition:MS Excel (old versions)-0.026608
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.074575Kurtosis (small sample)-0.084251
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.682811TEST 1 (small sample)-0.386461
TEST 1 Prob. (small sample)0.490200TEST 1 Prob. (small sample)0.696600
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0746000.490200Trim. Kurtosis (0/500)-0.0843000.696600
Trim. Skewness (1/500)-0.1066000.327000Trim. Kurtosis (1/500)-0.2697000.215000
Trim. Skewness (2/500)-0.1019000.352400Trim. Kurtosis (2/500)-0.3586000.101000
Trim. Skewness (3/500)-0.0860000.429600Trim. Kurtosis (3/500)-0.4079000.061400
Trim. Skewness (4/500)-0.0680000.535200Trim. Kurtosis (4/500)-0.4622000.034800
Trim. Skewness (5/500)-0.0545000.617000Trim. Kurtosis (5/500)-0.4988000.023200
Trim. Skewness (6/500)-0.0452000.681800Trim. Kurtosis (6/500)-0.5208000.017800
Trim. Skewness (7/500)-0.0375000.733800Trim. Kurtosis (7/500)-0.5401000.014200
Trim. Skewness (8/500)-0.0297000.787200Trim. Kurtosis (8/500)-0.5612000.011000
Trim. Skewness (9/500)-0.0223000.833600Trim. Kurtosis (9/500)-0.5819000.008600
Trim. Skewness (10/500)-0.0155000.888600Trim. Kurtosis (10/500)-0.6027000.006800
Trim. Skewness (11/500)-0.0106000.920400Trim. Kurtosis (11/500)-0.6210000.005200
Trim. Skewness (12/500)-0.0063000.952200Trim. Kurtosis (12/500)-0.6390000.004200
Trim. Skewness (13/500)-0.0021000.984000Trim. Kurtosis (13/500)-0.6589000.003200
Trim. Skewness (14/500)0.0006000.992000Trim. Kurtosis (14/500)-0.6711000.002600
Trim. Skewness (15/500)0.0029000.976000Trim. Kurtosis (15/500)-0.6834000.002200
Trim. Skewness (16/500)0.0045000.968000Trim. Kurtosis (16/500)-0.6954000.002000
Trim. Skewness (17/500)0.0036000.968000Trim. Kurtosis (17/500)-0.7045000.001800
Trim. Skewness (18/500)0.0034000.968000Trim. Kurtosis (18/500)-0.7109000.001600
Trim. Skewness (19/500)0.0027000.976000Trim. Kurtosis (19/500)-0.7177000.001600
Trim. Skewness (20/500)0.0017000.984000Trim. Kurtosis (20/500)-0.7255000.001400
Trim. Skewness (21/500)0.0021000.984000Trim. Kurtosis (21/500)-0.7318000.001200
Trim. Skewness (22/500)0.0014000.984000Trim. Kurtosis (22/500)-0.7360000.001200
Trim. Skewness (23/500)0.0006000.992000Trim. Kurtosis (23/500)-0.7414000.001200
Trim. Skewness (24/500)0.0003000.992000Trim. Kurtosis (24/500)-0.7471000.001200
Trim. Skewness (25/500)-0.0011000.992000Trim. Kurtosis (25/500)-0.7516000.001000
Trim. Skewness (26/500)-0.0028000.976000Trim. Kurtosis (26/500)-0.7560000.001000
Trim. Skewness (27/500)-0.0039000.968000Trim. Kurtosis (27/500)-0.7595000.001000
Trim. Skewness (28/500)-0.0054000.960200Trim. Kurtosis (28/500)-0.7636000.001000
Trim. Skewness (29/500)-0.0064000.952200Trim. Kurtosis (29/500)-0.7671000.001000
Trim. Skewness (30/500)-0.0072000.944200Trim. Kurtosis (30/500)-0.7702000.001000
Trim. Skewness (31/500)-0.0084000.936200Trim. Kurtosis (31/500)-0.7737000.000800
Trim. Skewness (32/500)-0.0091000.936200Trim. Kurtosis (32/500)-0.7764000.000800
Trim. Skewness (33/500)-0.0097000.928200Trim. Kurtosis (33/500)-0.7799000.000800
Trim. Skewness (34/500)-0.0099000.928200Trim. Kurtosis (34/500)-0.7832000.000800
Trim. Skewness (35/500)-0.0095000.928200Trim. Kurtosis (35/500)-0.7859000.000800
Trim. Skewness (36/500)-0.0091000.936200Trim. Kurtosis (36/500)-0.7889000.000800
Trim. Skewness (37/500)-0.0090000.936200Trim. Kurtosis (37/500)-0.7924000.000800
Trim. Skewness (38/500)-0.0079000.944200Trim. Kurtosis (38/500)-0.7951000.000800
Trim. Skewness (39/500)-0.0065000.952200Trim. Kurtosis (39/500)-0.7977000.000800
Trim. Skewness (40/500)-0.0051000.960200Trim. Kurtosis (40/500)-0.8013000.000800

\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)-0.0746000.490200 & Trim. Kurtosis (0/500)-0.0843000.696600 \tabularnewline Trim. Skewness (1/500)-0.1066000.327000 & Trim. Kurtosis (1/500)-0.2697000.215000 \tabularnewline Trim. Skewness (2/500)-0.1019000.352400 & Trim. Kurtosis (2/500)-0.3586000.101000 \tabularnewline Trim. Skewness (3/500)-0.0860000.429600 & Trim. Kurtosis (3/500)-0.4079000.061400 \tabularnewline Trim. Skewness (4/500)-0.0680000.535200 & Trim. Kurtosis (4/500)-0.4622000.034800 \tabularnewline Trim. Skewness (5/500)-0.0545000.617000 & Trim. Kurtosis (5/500)-0.4988000.023200 \tabularnewline Trim. Skewness (6/500)-0.0452000.681800 & Trim. Kurtosis (6/500)-0.5208000.017800 \tabularnewline Trim. Skewness (7/500)-0.0375000.733800 & Trim. Kurtosis (7/500)-0.5401000.014200 \tabularnewline Trim. Skewness (8/500)-0.0297000.787200 & Trim. Kurtosis (8/500)-0.5612000.011000 \tabularnewline Trim. Skewness (9/500)-0.0223000.833600 & Trim. Kurtosis (9/500)-0.5819000.008600 \tabularnewline Trim. Skewness (10/500)-0.0155000.888600 & Trim. Kurtosis (10/500)-0.6027000.006800 \tabularnewline Trim. Skewness (11/500)-0.0106000.920400 & Trim. Kurtosis (11/500)-0.6210000.005200 \tabularnewline Trim. Skewness (12/500)-0.0063000.952200 & Trim. Kurtosis (12/500)-0.6390000.004200 \tabularnewline Trim. Skewness (13/500)-0.0021000.984000 & Trim. Kurtosis (13/500)-0.6589000.003200 \tabularnewline Trim. Skewness (14/500)0.0006000.992000 & Trim. Kurtosis (14/500)-0.6711000.002600 \tabularnewline Trim. Skewness (15/500)0.0029000.976000 & Trim. Kurtosis (15/500)-0.6834000.002200 \tabularnewline Trim. Skewness (16/500)0.0045000.968000 & Trim. Kurtosis (16/500)-0.6954000.002000 \tabularnewline Trim. Skewness (17/500)0.0036000.968000 & Trim. Kurtosis (17/500)-0.7045000.001800 \tabularnewline Trim. Skewness (18/500)0.0034000.968000 & Trim. Kurtosis (18/500)-0.7109000.001600 \tabularnewline Trim. Skewness (19/500)0.0027000.976000 & Trim. Kurtosis (19/500)-0.7177000.001600 \tabularnewline Trim. Skewness (20/500)0.0017000.984000 & Trim. Kurtosis (20/500)-0.7255000.001400 \tabularnewline Trim. Skewness (21/500)0.0021000.984000 & Trim. Kurtosis (21/500)-0.7318000.001200 \tabularnewline Trim. Skewness (22/500)0.0014000.984000 & Trim. Kurtosis (22/500)-0.7360000.001200 \tabularnewline Trim. Skewness (23/500)0.0006000.992000 & Trim. Kurtosis (23/500)-0.7414000.001200 \tabularnewline Trim. Skewness (24/500)0.0003000.992000 & Trim. Kurtosis (24/500)-0.7471000.001200 \tabularnewline Trim. Skewness (25/500)-0.0011000.992000 & Trim. Kurtosis (25/500)-0.7516000.001000 \tabularnewline Trim. Skewness (26/500)-0.0028000.976000 & Trim. Kurtosis (26/500)-0.7560000.001000 \tabularnewline Trim. Skewness (27/500)-0.0039000.968000 & Trim. Kurtosis (27/500)-0.7595000.001000 \tabularnewline Trim. Skewness (28/500)-0.0054000.960200 & Trim. Kurtosis (28/500)-0.7636000.001000 \tabularnewline Trim. Skewness (29/500)-0.0064000.952200 & Trim. Kurtosis (29/500)-0.7671000.001000 \tabularnewline Trim. Skewness (30/500)-0.0072000.944200 & Trim. Kurtosis (30/500)-0.7702000.001000 \tabularnewline Trim. Skewness (31/500)-0.0084000.936200 & Trim. Kurtosis (31/500)-0.7737000.000800 \tabularnewline Trim. Skewness (32/500)-0.0091000.936200 & Trim. Kurtosis (32/500)-0.7764000.000800 \tabularnewline Trim. Skewness (33/500)-0.0097000.928200 & Trim. Kurtosis (33/500)-0.7799000.000800 \tabularnewline Trim. Skewness (34/500)-0.0099000.928200 & Trim. Kurtosis (34/500)-0.7832000.000800 \tabularnewline Trim. Skewness (35/500)-0.0095000.928200 & Trim. Kurtosis (35/500)-0.7859000.000800 \tabularnewline Trim. Skewness (36/500)-0.0091000.936200 & Trim. Kurtosis (36/500)-0.7889000.000800 \tabularnewline Trim. Skewness (37/500)-0.0090000.936200 & Trim. Kurtosis (37/500)-0.7924000.000800 \tabularnewline Trim. Skewness (38/500)-0.0079000.944200 & Trim. Kurtosis (38/500)-0.7951000.000800 \tabularnewline Trim. Skewness (39/500)-0.0065000.952200 & Trim. Kurtosis (39/500)-0.7977000.000800 \tabularnewline Trim. Skewness (40/500)-0.0051000.960200 & Trim. Kurtosis (40/500)-0.8013000.000800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103726&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]-0.074600[/C]0.490200[/C][C]Trim. Kurtosis (0/500)[/C]-0.084300[/C]0.696600[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.106600[/C]0.327000[/C][C]Trim. Kurtosis (1/500)[/C]-0.269700[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.101900[/C]0.352400[/C][C]Trim. Kurtosis (2/500)[/C]-0.358600[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.086000[/C]0.429600[/C][C]Trim. Kurtosis (3/500)[/C]-0.407900[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.068000[/C]0.535200[/C][C]Trim. Kurtosis (4/500)[/C]-0.462200[/C]0.034800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.054500[/C]0.617000[/C][C]Trim. Kurtosis (5/500)[/C]-0.498800[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.045200[/C]0.681800[/C][C]Trim. Kurtosis (6/500)[/C]-0.520800[/C]0.017800[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.037500[/C]0.733800[/C][C]Trim. Kurtosis (7/500)[/C]-0.540100[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.029700[/C]0.787200[/C][C]Trim. Kurtosis (8/500)[/C]-0.561200[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.022300[/C]0.833600[/C][C]Trim. Kurtosis (9/500)[/C]-0.581900[/C]0.008600[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.015500[/C]0.888600[/C][C]Trim. Kurtosis (10/500)[/C]-0.602700[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.010600[/C]0.920400[/C][C]Trim. Kurtosis (11/500)[/C]-0.621000[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.006300[/C]0.952200[/C][C]Trim. Kurtosis (12/500)[/C]-0.639000[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.002100[/C]0.984000[/C][C]Trim. Kurtosis (13/500)[/C]-0.658900[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.000600[/C]0.992000[/C][C]Trim. Kurtosis (14/500)[/C]-0.671100[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.002900[/C]0.976000[/C][C]Trim. Kurtosis (15/500)[/C]-0.683400[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.004500[/C]0.968000[/C][C]Trim. Kurtosis (16/500)[/C]-0.695400[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.003600[/C]0.968000[/C][C]Trim. Kurtosis (17/500)[/C]-0.704500[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.003400[/C]0.968000[/C][C]Trim. Kurtosis (18/500)[/C]-0.710900[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.002700[/C]0.976000[/C][C]Trim. Kurtosis (19/500)[/C]-0.717700[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.001700[/C]0.984000[/C][C]Trim. Kurtosis (20/500)[/C]-0.725500[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.002100[/C]0.984000[/C][C]Trim. Kurtosis (21/500)[/C]-0.731800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.001400[/C]0.984000[/C][C]Trim. Kurtosis (22/500)[/C]-0.736000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.000600[/C]0.992000[/C][C]Trim. Kurtosis (23/500)[/C]-0.741400[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.000300[/C]0.992000[/C][C]Trim. Kurtosis (24/500)[/C]-0.747100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.001100[/C]0.992000[/C][C]Trim. Kurtosis (25/500)[/C]-0.751600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.002800[/C]0.976000[/C][C]Trim. Kurtosis (26/500)[/C]-0.756000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.003900[/C]0.968000[/C][C]Trim. Kurtosis (27/500)[/C]-0.759500[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.005400[/C]0.960200[/C][C]Trim. Kurtosis (28/500)[/C]-0.763600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.006400[/C]0.952200[/C][C]Trim. Kurtosis (29/500)[/C]-0.767100[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.007200[/C]0.944200[/C][C]Trim. Kurtosis (30/500)[/C]-0.770200[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.008400[/C]0.936200[/C][C]Trim. Kurtosis (31/500)[/C]-0.773700[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.009100[/C]0.936200[/C][C]Trim. Kurtosis (32/500)[/C]-0.776400[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.009700[/C]0.928200[/C][C]Trim. Kurtosis (33/500)[/C]-0.779900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.009900[/C]0.928200[/C][C]Trim. Kurtosis (34/500)[/C]-0.783200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.009500[/C]0.928200[/C][C]Trim. Kurtosis (35/500)[/C]-0.785900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.009100[/C]0.936200[/C][C]Trim. Kurtosis (36/500)[/C]-0.788900[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.009000[/C]0.936200[/C][C]Trim. Kurtosis (37/500)[/C]-0.792400[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.007900[/C]0.944200[/C][C]Trim. Kurtosis (38/500)[/C]-0.795100[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.006500[/C]0.952200[/C][C]Trim. Kurtosis (39/500)[/C]-0.797700[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.005100[/C]0.960200[/C][C]Trim. Kurtosis (40/500)[/C]-0.801300[/C]0.000800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103726&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103726&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)-0.0746000.490200Trim. Kurtosis (0/500)-0.0843000.696600
Trim. Skewness (1/500)-0.1066000.327000Trim. Kurtosis (1/500)-0.2697000.215000
Trim. Skewness (2/500)-0.1019000.352400Trim. Kurtosis (2/500)-0.3586000.101000
Trim. Skewness (3/500)-0.0860000.429600Trim. Kurtosis (3/500)-0.4079000.061400
Trim. Skewness (4/500)-0.0680000.535200Trim. Kurtosis (4/500)-0.4622000.034800
Trim. Skewness (5/500)-0.0545000.617000Trim. Kurtosis (5/500)-0.4988000.023200
Trim. Skewness (6/500)-0.0452000.681800Trim. Kurtosis (6/500)-0.5208000.017800
Trim. Skewness (7/500)-0.0375000.733800Trim. Kurtosis (7/500)-0.5401000.014200
Trim. Skewness (8/500)-0.0297000.787200Trim. Kurtosis (8/500)-0.5612000.011000
Trim. Skewness (9/500)-0.0223000.833600Trim. Kurtosis (9/500)-0.5819000.008600
Trim. Skewness (10/500)-0.0155000.888600Trim. Kurtosis (10/500)-0.6027000.006800
Trim. Skewness (11/500)-0.0106000.920400Trim. Kurtosis (11/500)-0.6210000.005200
Trim. Skewness (12/500)-0.0063000.952200Trim. Kurtosis (12/500)-0.6390000.004200
Trim. Skewness (13/500)-0.0021000.984000Trim. Kurtosis (13/500)-0.6589000.003200
Trim. Skewness (14/500)0.0006000.992000Trim. Kurtosis (14/500)-0.6711000.002600
Trim. Skewness (15/500)0.0029000.976000Trim. Kurtosis (15/500)-0.6834000.002200
Trim. Skewness (16/500)0.0045000.968000Trim. Kurtosis (16/500)-0.6954000.002000
Trim. Skewness (17/500)0.0036000.968000Trim. Kurtosis (17/500)-0.7045000.001800
Trim. Skewness (18/500)0.0034000.968000Trim. Kurtosis (18/500)-0.7109000.001600
Trim. Skewness (19/500)0.0027000.976000Trim. Kurtosis (19/500)-0.7177000.001600
Trim. Skewness (20/500)0.0017000.984000Trim. Kurtosis (20/500)-0.7255000.001400
Trim. Skewness (21/500)0.0021000.984000Trim. Kurtosis (21/500)-0.7318000.001200
Trim. Skewness (22/500)0.0014000.984000Trim. Kurtosis (22/500)-0.7360000.001200
Trim. Skewness (23/500)0.0006000.992000Trim. Kurtosis (23/500)-0.7414000.001200
Trim. Skewness (24/500)0.0003000.992000Trim. Kurtosis (24/500)-0.7471000.001200
Trim. Skewness (25/500)-0.0011000.992000Trim. Kurtosis (25/500)-0.7516000.001000
Trim. Skewness (26/500)-0.0028000.976000Trim. Kurtosis (26/500)-0.7560000.001000
Trim. Skewness (27/500)-0.0039000.968000Trim. Kurtosis (27/500)-0.7595000.001000
Trim. Skewness (28/500)-0.0054000.960200Trim. Kurtosis (28/500)-0.7636000.001000
Trim. Skewness (29/500)-0.0064000.952200Trim. Kurtosis (29/500)-0.7671000.001000
Trim. Skewness (30/500)-0.0072000.944200Trim. Kurtosis (30/500)-0.7702000.001000
Trim. Skewness (31/500)-0.0084000.936200Trim. Kurtosis (31/500)-0.7737000.000800
Trim. Skewness (32/500)-0.0091000.936200Trim. Kurtosis (32/500)-0.7764000.000800
Trim. Skewness (33/500)-0.0097000.928200Trim. Kurtosis (33/500)-0.7799000.000800
Trim. Skewness (34/500)-0.0099000.928200Trim. Kurtosis (34/500)-0.7832000.000800
Trim. Skewness (35/500)-0.0095000.928200Trim. Kurtosis (35/500)-0.7859000.000800
Trim. Skewness (36/500)-0.0091000.936200Trim. Kurtosis (36/500)-0.7889000.000800
Trim. Skewness (37/500)-0.0090000.936200Trim. Kurtosis (37/500)-0.7924000.000800
Trim. Skewness (38/500)-0.0079000.944200Trim. Kurtosis (38/500)-0.7951000.000800
Trim. Skewness (39/500)-0.0065000.952200Trim. Kurtosis (39/500)-0.7977000.000800
Trim. Skewness (40/500)-0.0051000.960200Trim. Kurtosis (40/500)-0.8013000.000800


Figures (Output of Computation)

Input Parameters & R Code

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