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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 18:38:06 +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/t12911421708ylp7qf373q3cym.htm/, Retrieved Sat, 21 Dec 2024 16:16:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103724, Retrieved Sat, 21 Dec 2024 16:16:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact179

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 18:38:06] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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102,0962158
97,6156615
96,95796616
98,98226952
98,39156301
100,4411494
98,66466889
105,4132385
100,8364054
100,5348095
100,77314
98,40641906
98,95408112
95,42761065
100,0349627
100,1135971
104,4661187
101,0598842
102,1805799
101,4009958
100,6419111
101,0693544
98,86049696
100,6632372
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102,4395658
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100,0315891
101,3421762
102,5811658
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100,5906702
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103,5496385
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100,6299659
104,2645868
99,21667851
102,7098709
100,7403666
100,6589746
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100,1832512
101,4204756
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96,14613828
99,11898437
102,4769348
100,310161
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99,49037541
102,5030064
100,0831382
102,5988438
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98,42613863
100,3043304
96,69491877
100,9380957
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101,1132876
96,04161789
98,72734967
100,8167466
101,1656272
98,60218413
98,33447947
100,4969827
99,20304988
101,2339137
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98,21292378
102,5443722
100,3273311
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101,6746383
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98,61437047
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101,4211003
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103,3564292
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99,26355227
101,657418
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98,96382561
97,86242935
99,53226753
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101,4176562
100,0378013
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100,9212464
99,76377867
97,61204095
100,7639142
98,45122427
101,6774319
103,2473475
98,93809907
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103,1159157
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100,9634071
100,9717766
101,2849719
101,7182051
98,92307351
104,7535356
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100,1410317
100,3820357
103,8813935
98,97594988
97,58416988
100,874377
99,7495913
101,3005022
102,5232979
95,82985995
97,9524113
100,0477263
104,2267726
100,9559916
102,9788814
98,59777509
100,3778344
102,3002731
100,9247228
97,0335515
100,3561264
99,59300659
101,574905
99,45648227
102,2359463
97,74072608
98,60450069
98,55789236
97,25059138
96,61098653
101,7179802
101,0398358
100,8540811
98,3855585
99,63031339
101,4932572
99,40850402
97,90969856
104,1711236
96,82902682
97,94145758
102,1312644
103,218799
100,8387039
98,86376683
99,00504372
96,79389405
104,2382007
99,71410472
97,41946812
99,55994855
101,0834709
100,5259361
98,38673183
100,3286959
100,418413
104,1012846
103,5673528
99,87794372
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101,7725917
102,427357
103,0775879
100,4707821
103,0639605
100,4941704
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101,4486807
100,171891
100,8145544
100,8877159
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101,6591679
101,8705671
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101,3987986
101,5015387
100,2120247
101,9308035
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101,6828343
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94,28374701
99,05152489
98,60236088
99,53294911
103,0028911
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100,1915215
98,37388105
97,63666877
101,3574565
104,7123101
103,5270263
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99,38947654
95,70518703
102,2629124
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99,91228264
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101,546397
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100,5690489
98,28633238

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.418364FISHER 4th Cent. Mom.46.407939
FISHER beta 10.002441FISHER beta 22.688970
FISHER gamma 10.049408FISHER gamma 2-0.311030
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.451033FISHER Test 2-1.419653
FISHER Test 1 Probability0.645600FISHER Test 2 Probability0.155600
Pearson 2-0.036435
Yule using Quartile definition:Weighted Average at Xnp-0.049265
Yule using Quartile definition:Weighted Average at X(n+1)p-0.048339
Yule using Quartile definition:Empirical Distribution Function-0.049265
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.048151
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.047964
Yule using Quartile definition:Closest Observation-0.049265
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.047964
Yule using Quartile definition:MS Excel (old versions)-0.048525
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.049557Kurtosis (small sample)-0.302067
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.453745TEST 1 (small sample)-1.385588
TEST 1 Prob. (small sample)0.645600TEST 1 Prob. (small sample)0.164600
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.418364 & FISHER 4th Cent. Mom.46.407939 \tabularnewline FISHER beta 10.002441 & FISHER beta 22.688970 \tabularnewline FISHER gamma 10.049408 & FISHER gamma 2-0.311030 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.451033 & FISHER Test 2-1.419653 \tabularnewline FISHER Test 1 Probability0.645600 & FISHER Test 2 Probability0.155600 \tabularnewline Pearson 2-0.036435 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.049265 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.048339 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.049265 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.048151 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.047964 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.049265 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.047964 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.048525 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.049557 & Kurtosis (small sample)-0.302067 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.453745 & TEST 1 (small sample)-1.385588 \tabularnewline TEST 1 Prob. (small sample)0.645600 & TEST 1 Prob. (small sample)0.164600 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103724&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]0.418364[/C][C]FISHER 4th Cent. Mom.[/C]46.407939[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.002441[/C][C]FISHER beta 2[/C]2.688970[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.049408[/C][C]FISHER gamma 2[/C]-0.311030[/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]0.451033[/C][C]FISHER Test 2[/C]-1.419653[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.645600[/C][C]FISHER Test 2 Probability[/C]0.155600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.036435[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.049265[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.048339[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.049265[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.048151[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.047964[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.049265[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.047964[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.048525[/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]0.049557[/C][C]Kurtosis (small sample)[/C]-0.302067[/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]0.453745[/C][C]TEST 1 (small sample)[/C]-1.385588[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.645600[/C][C]TEST 1 Prob. (small sample)[/C]0.164600[/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=103724&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103724&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.0.418364FISHER 4th Cent. Mom.46.407939
FISHER beta 10.002441FISHER beta 22.688970
FISHER gamma 10.049408FISHER gamma 2-0.311030
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.451033FISHER Test 2-1.419653
FISHER Test 1 Probability0.645600FISHER Test 2 Probability0.155600
Pearson 2-0.036435
Yule using Quartile definition:Weighted Average at Xnp-0.049265
Yule using Quartile definition:Weighted Average at X(n+1)p-0.048339
Yule using Quartile definition:Empirical Distribution Function-0.049265
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.048151
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.047964
Yule using Quartile definition:Closest Observation-0.049265
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.047964
Yule using Quartile definition:MS Excel (old versions)-0.048525
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.049557Kurtosis (small sample)-0.302067
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.453745TEST 1 (small sample)-1.385588
TEST 1 Prob. (small sample)0.645600TEST 1 Prob. (small sample)0.164600
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0496000.645600Trim. Kurtosis (0/500)-0.3021000.164600
Trim. Skewness (1/500)0.0490000.652800Trim. Kurtosis (1/500)-0.4156000.056200
Trim. Skewness (2/500)0.0450000.674400Trim. Kurtosis (2/500)-0.4727000.030800
Trim. Skewness (3/500)0.0417000.704000Trim. Kurtosis (3/500)-0.5041000.021400
Trim. Skewness (4/500)0.0415000.704000Trim. Kurtosis (4/500)-0.5303000.015600
Trim. Skewness (5/500)0.0383000.726400Trim. Kurtosis (5/500)-0.5520000.012000
Trim. Skewness (6/500)0.0354000.749000Trim. Kurtosis (6/500)-0.5759000.008800
Trim. Skewness (7/500)0.0351000.749000Trim. Kurtosis (7/500)-0.5956000.007000
Trim. Skewness (8/500)0.0341000.756600Trim. Kurtosis (8/500)-0.6141000.005400
Trim. Skewness (9/500)0.0326000.764200Trim. Kurtosis (9/500)-0.6310000.004400
Trim. Skewness (10/500)0.0312000.779400Trim. Kurtosis (10/500)-0.6459000.003600
Trim. Skewness (11/500)0.0296000.787200Trim. Kurtosis (11/500)-0.6617000.003000
Trim. Skewness (12/500)0.0269000.802600Trim. Kurtosis (12/500)-0.6777000.002400
Trim. Skewness (13/500)0.0244000.825800Trim. Kurtosis (13/500)-0.6947000.001800
Trim. Skewness (14/500)0.0220000.841400Trim. Kurtosis (14/500)-0.7137000.001400
Trim. Skewness (15/500)0.0168000.880800Trim. Kurtosis (15/500)-0.7266000.001200
Trim. Skewness (16/500)0.0119000.912400Trim. Kurtosis (16/500)-0.7392000.001000
Trim. Skewness (17/500)0.0066000.952200Trim. Kurtosis (17/500)-0.7532000.000800
Trim. Skewness (18/500)0.0005000.992000Trim. Kurtosis (18/500)-0.7678000.000600
Trim. Skewness (19/500)-0.0040000.968000Trim. Kurtosis (19/500)-0.7800000.000600
Trim. Skewness (20/500)-0.0082000.936200Trim. Kurtosis (20/500)-0.7931000.000400
Trim. Skewness (21/500)-0.0088000.936200Trim. Kurtosis (21/500)-0.8000000.000400
Trim. Skewness (22/500)-0.0099000.928200Trim. Kurtosis (22/500)-0.8068000.000400
Trim. Skewness (23/500)-0.0109000.920400Trim. Kurtosis (23/500)-0.8143000.000400
Trim. Skewness (24/500)-0.0107000.920400Trim. Kurtosis (24/500)-0.8189000.000400
Trim. Skewness (25/500)-0.0105000.920400Trim. Kurtosis (25/500)-0.8234000.000400
Trim. Skewness (26/500)-0.0094000.928200Trim. Kurtosis (26/500)-0.8274000.000400
Trim. Skewness (27/500)-0.0084000.936200Trim. Kurtosis (27/500)-0.8316000.000400
Trim. Skewness (28/500)-0.0072000.944200Trim. Kurtosis (28/500)-0.8364000.000200
Trim. Skewness (29/500)-0.0064000.952200Trim. Kurtosis (29/500)-0.8416000.000200
Trim. Skewness (30/500)-0.0056000.960200Trim. Kurtosis (30/500)-0.8469000.000200
Trim. Skewness (31/500)-0.0047000.960200Trim. Kurtosis (31/500)-0.8531000.000200
Trim. Skewness (32/500)-0.0039000.968000Trim. Kurtosis (32/500)-0.8590000.000200
Trim. Skewness (33/500)-0.0021000.984000Trim. Kurtosis (33/500)-0.8646000.000200
Trim. Skewness (34/500)-0.0009000.992000Trim. Kurtosis (34/500)-0.8701000.000200
Trim. Skewness (35/500)0.0006000.992000Trim. Kurtosis (35/500)-0.8765000.000200
Trim. Skewness (36/500)0.0019000.984000Trim. Kurtosis (36/500)-0.8831000.000200
Trim. Skewness (37/500)0.0027000.976000Trim. Kurtosis (37/500)-0.8898000.000200
Trim. Skewness (38/500)0.0034000.976000Trim. Kurtosis (38/500)-0.8976000.000200
Trim. Skewness (39/500)0.0042000.968000Trim. Kurtosis (39/500)-0.9063000.000200
Trim. Skewness (40/500)0.0042000.968000Trim. Kurtosis (40/500)-0.9150000.000200

\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)0.0496000.645600 & Trim. Kurtosis (0/500)-0.3021000.164600 \tabularnewline Trim. Skewness (1/500)0.0490000.652800 & Trim. Kurtosis (1/500)-0.4156000.056200 \tabularnewline Trim. Skewness (2/500)0.0450000.674400 & Trim. Kurtosis (2/500)-0.4727000.030800 \tabularnewline Trim. Skewness (3/500)0.0417000.704000 & Trim. Kurtosis (3/500)-0.5041000.021400 \tabularnewline Trim. Skewness (4/500)0.0415000.704000 & Trim. Kurtosis (4/500)-0.5303000.015600 \tabularnewline Trim. Skewness (5/500)0.0383000.726400 & Trim. Kurtosis (5/500)-0.5520000.012000 \tabularnewline Trim. Skewness (6/500)0.0354000.749000 & Trim. Kurtosis (6/500)-0.5759000.008800 \tabularnewline Trim. Skewness (7/500)0.0351000.749000 & Trim. Kurtosis (7/500)-0.5956000.007000 \tabularnewline Trim. Skewness (8/500)0.0341000.756600 & Trim. Kurtosis (8/500)-0.6141000.005400 \tabularnewline Trim. Skewness (9/500)0.0326000.764200 & Trim. Kurtosis (9/500)-0.6310000.004400 \tabularnewline Trim. Skewness (10/500)0.0312000.779400 & Trim. Kurtosis (10/500)-0.6459000.003600 \tabularnewline Trim. Skewness (11/500)0.0296000.787200 & Trim. Kurtosis (11/500)-0.6617000.003000 \tabularnewline Trim. Skewness (12/500)0.0269000.802600 & Trim. Kurtosis (12/500)-0.6777000.002400 \tabularnewline Trim. Skewness (13/500)0.0244000.825800 & Trim. Kurtosis (13/500)-0.6947000.001800 \tabularnewline Trim. Skewness (14/500)0.0220000.841400 & Trim. Kurtosis (14/500)-0.7137000.001400 \tabularnewline Trim. Skewness (15/500)0.0168000.880800 & Trim. Kurtosis (15/500)-0.7266000.001200 \tabularnewline Trim. Skewness (16/500)0.0119000.912400 & Trim. Kurtosis (16/500)-0.7392000.001000 \tabularnewline Trim. Skewness (17/500)0.0066000.952200 & Trim. Kurtosis (17/500)-0.7532000.000800 \tabularnewline Trim. Skewness (18/500)0.0005000.992000 & Trim. Kurtosis (18/500)-0.7678000.000600 \tabularnewline Trim. Skewness (19/500)-0.0040000.968000 & Trim. Kurtosis (19/500)-0.7800000.000600 \tabularnewline Trim. Skewness (20/500)-0.0082000.936200 & Trim. Kurtosis (20/500)-0.7931000.000400 \tabularnewline Trim. Skewness (21/500)-0.0088000.936200 & Trim. Kurtosis (21/500)-0.8000000.000400 \tabularnewline Trim. Skewness (22/500)-0.0099000.928200 & Trim. Kurtosis (22/500)-0.8068000.000400 \tabularnewline Trim. Skewness (23/500)-0.0109000.920400 & Trim. Kurtosis (23/500)-0.8143000.000400 \tabularnewline Trim. Skewness (24/500)-0.0107000.920400 & Trim. Kurtosis (24/500)-0.8189000.000400 \tabularnewline Trim. Skewness (25/500)-0.0105000.920400 & Trim. Kurtosis (25/500)-0.8234000.000400 \tabularnewline Trim. Skewness (26/500)-0.0094000.928200 & Trim. Kurtosis (26/500)-0.8274000.000400 \tabularnewline Trim. Skewness (27/500)-0.0084000.936200 & Trim. Kurtosis (27/500)-0.8316000.000400 \tabularnewline Trim. Skewness (28/500)-0.0072000.944200 & Trim. Kurtosis (28/500)-0.8364000.000200 \tabularnewline Trim. Skewness (29/500)-0.0064000.952200 & Trim. Kurtosis (29/500)-0.8416000.000200 \tabularnewline Trim. Skewness (30/500)-0.0056000.960200 & Trim. Kurtosis (30/500)-0.8469000.000200 \tabularnewline Trim. Skewness (31/500)-0.0047000.960200 & Trim. Kurtosis (31/500)-0.8531000.000200 \tabularnewline Trim. Skewness (32/500)-0.0039000.968000 & Trim. Kurtosis (32/500)-0.8590000.000200 \tabularnewline Trim. Skewness (33/500)-0.0021000.984000 & Trim. Kurtosis (33/500)-0.8646000.000200 \tabularnewline Trim. Skewness (34/500)-0.0009000.992000 & Trim. Kurtosis (34/500)-0.8701000.000200 \tabularnewline Trim. Skewness (35/500)0.0006000.992000 & Trim. Kurtosis (35/500)-0.8765000.000200 \tabularnewline Trim. Skewness (36/500)0.0019000.984000 & Trim. Kurtosis (36/500)-0.8831000.000200 \tabularnewline Trim. Skewness (37/500)0.0027000.976000 & Trim. Kurtosis (37/500)-0.8898000.000200 \tabularnewline Trim. Skewness (38/500)0.0034000.976000 & Trim. Kurtosis (38/500)-0.8976000.000200 \tabularnewline Trim. Skewness (39/500)0.0042000.968000 & Trim. Kurtosis (39/500)-0.9063000.000200 \tabularnewline Trim. Skewness (40/500)0.0042000.968000 & Trim. Kurtosis (40/500)-0.9150000.000200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103724&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]0.049600[/C]0.645600[/C][C]Trim. Kurtosis (0/500)[/C]-0.302100[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.049000[/C]0.652800[/C][C]Trim. Kurtosis (1/500)[/C]-0.415600[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.045000[/C]0.674400[/C][C]Trim. Kurtosis (2/500)[/C]-0.472700[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.041700[/C]0.704000[/C][C]Trim. Kurtosis (3/500)[/C]-0.504100[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.041500[/C]0.704000[/C][C]Trim. Kurtosis (4/500)[/C]-0.530300[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.038300[/C]0.726400[/C][C]Trim. Kurtosis (5/500)[/C]-0.552000[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.035400[/C]0.749000[/C][C]Trim. Kurtosis (6/500)[/C]-0.575900[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.035100[/C]0.749000[/C][C]Trim. Kurtosis (7/500)[/C]-0.595600[/C]0.007000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.034100[/C]0.756600[/C][C]Trim. Kurtosis (8/500)[/C]-0.614100[/C]0.005400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.032600[/C]0.764200[/C][C]Trim. Kurtosis (9/500)[/C]-0.631000[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.031200[/C]0.779400[/C][C]Trim. Kurtosis (10/500)[/C]-0.645900[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.029600[/C]0.787200[/C][C]Trim. Kurtosis (11/500)[/C]-0.661700[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.026900[/C]0.802600[/C][C]Trim. Kurtosis (12/500)[/C]-0.677700[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.024400[/C]0.825800[/C][C]Trim. Kurtosis (13/500)[/C]-0.694700[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.022000[/C]0.841400[/C][C]Trim. Kurtosis (14/500)[/C]-0.713700[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.016800[/C]0.880800[/C][C]Trim. Kurtosis (15/500)[/C]-0.726600[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.011900[/C]0.912400[/C][C]Trim. Kurtosis (16/500)[/C]-0.739200[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.006600[/C]0.952200[/C][C]Trim. Kurtosis (17/500)[/C]-0.753200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.000500[/C]0.992000[/C][C]Trim. Kurtosis (18/500)[/C]-0.767800[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.004000[/C]0.968000[/C][C]Trim. Kurtosis (19/500)[/C]-0.780000[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.008200[/C]0.936200[/C][C]Trim. Kurtosis (20/500)[/C]-0.793100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.008800[/C]0.936200[/C][C]Trim. Kurtosis (21/500)[/C]-0.800000[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.009900[/C]0.928200[/C][C]Trim. Kurtosis (22/500)[/C]-0.806800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.010900[/C]0.920400[/C][C]Trim. Kurtosis (23/500)[/C]-0.814300[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.010700[/C]0.920400[/C][C]Trim. Kurtosis (24/500)[/C]-0.818900[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.010500[/C]0.920400[/C][C]Trim. Kurtosis (25/500)[/C]-0.823400[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.009400[/C]0.928200[/C][C]Trim. Kurtosis (26/500)[/C]-0.827400[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.008400[/C]0.936200[/C][C]Trim. Kurtosis (27/500)[/C]-0.831600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.007200[/C]0.944200[/C][C]Trim. Kurtosis (28/500)[/C]-0.836400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.006400[/C]0.952200[/C][C]Trim. Kurtosis (29/500)[/C]-0.841600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.005600[/C]0.960200[/C][C]Trim. Kurtosis (30/500)[/C]-0.846900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.004700[/C]0.960200[/C][C]Trim. Kurtosis (31/500)[/C]-0.853100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.003900[/C]0.968000[/C][C]Trim. Kurtosis (32/500)[/C]-0.859000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.002100[/C]0.984000[/C][C]Trim. Kurtosis (33/500)[/C]-0.864600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.000900[/C]0.992000[/C][C]Trim. Kurtosis (34/500)[/C]-0.870100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.000600[/C]0.992000[/C][C]Trim. Kurtosis (35/500)[/C]-0.876500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.001900[/C]0.984000[/C][C]Trim. Kurtosis (36/500)[/C]-0.883100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.002700[/C]0.976000[/C][C]Trim. Kurtosis (37/500)[/C]-0.889800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.003400[/C]0.976000[/C][C]Trim. Kurtosis (38/500)[/C]-0.897600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.004200[/C]0.968000[/C][C]Trim. Kurtosis (39/500)[/C]-0.906300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.004200[/C]0.968000[/C][C]Trim. Kurtosis (40/500)[/C]-0.915000[/C]0.000200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103724&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103724&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)0.0496000.645600Trim. Kurtosis (0/500)-0.3021000.164600
Trim. Skewness (1/500)0.0490000.652800Trim. Kurtosis (1/500)-0.4156000.056200
Trim. Skewness (2/500)0.0450000.674400Trim. Kurtosis (2/500)-0.4727000.030800
Trim. Skewness (3/500)0.0417000.704000Trim. Kurtosis (3/500)-0.5041000.021400
Trim. Skewness (4/500)0.0415000.704000Trim. Kurtosis (4/500)-0.5303000.015600
Trim. Skewness (5/500)0.0383000.726400Trim. Kurtosis (5/500)-0.5520000.012000
Trim. Skewness (6/500)0.0354000.749000Trim. Kurtosis (6/500)-0.5759000.008800
Trim. Skewness (7/500)0.0351000.749000Trim. Kurtosis (7/500)-0.5956000.007000
Trim. Skewness (8/500)0.0341000.756600Trim. Kurtosis (8/500)-0.6141000.005400
Trim. Skewness (9/500)0.0326000.764200Trim. Kurtosis (9/500)-0.6310000.004400
Trim. Skewness (10/500)0.0312000.779400Trim. Kurtosis (10/500)-0.6459000.003600
Trim. Skewness (11/500)0.0296000.787200Trim. Kurtosis (11/500)-0.6617000.003000
Trim. Skewness (12/500)0.0269000.802600Trim. Kurtosis (12/500)-0.6777000.002400
Trim. Skewness (13/500)0.0244000.825800Trim. Kurtosis (13/500)-0.6947000.001800
Trim. Skewness (14/500)0.0220000.841400Trim. Kurtosis (14/500)-0.7137000.001400
Trim. Skewness (15/500)0.0168000.880800Trim. Kurtosis (15/500)-0.7266000.001200
Trim. Skewness (16/500)0.0119000.912400Trim. Kurtosis (16/500)-0.7392000.001000
Trim. Skewness (17/500)0.0066000.952200Trim. Kurtosis (17/500)-0.7532000.000800
Trim. Skewness (18/500)0.0005000.992000Trim. Kurtosis (18/500)-0.7678000.000600
Trim. Skewness (19/500)-0.0040000.968000Trim. Kurtosis (19/500)-0.7800000.000600
Trim. Skewness (20/500)-0.0082000.936200Trim. Kurtosis (20/500)-0.7931000.000400
Trim. Skewness (21/500)-0.0088000.936200Trim. Kurtosis (21/500)-0.8000000.000400
Trim. Skewness (22/500)-0.0099000.928200Trim. Kurtosis (22/500)-0.8068000.000400
Trim. Skewness (23/500)-0.0109000.920400Trim. Kurtosis (23/500)-0.8143000.000400
Trim. Skewness (24/500)-0.0107000.920400Trim. Kurtosis (24/500)-0.8189000.000400
Trim. Skewness (25/500)-0.0105000.920400Trim. Kurtosis (25/500)-0.8234000.000400
Trim. Skewness (26/500)-0.0094000.928200Trim. Kurtosis (26/500)-0.8274000.000400
Trim. Skewness (27/500)-0.0084000.936200Trim. Kurtosis (27/500)-0.8316000.000400
Trim. Skewness (28/500)-0.0072000.944200Trim. Kurtosis (28/500)-0.8364000.000200
Trim. Skewness (29/500)-0.0064000.952200Trim. Kurtosis (29/500)-0.8416000.000200
Trim. Skewness (30/500)-0.0056000.960200Trim. Kurtosis (30/500)-0.8469000.000200
Trim. Skewness (31/500)-0.0047000.960200Trim. Kurtosis (31/500)-0.8531000.000200
Trim. Skewness (32/500)-0.0039000.968000Trim. Kurtosis (32/500)-0.8590000.000200
Trim. Skewness (33/500)-0.0021000.984000Trim. Kurtosis (33/500)-0.8646000.000200
Trim. Skewness (34/500)-0.0009000.992000Trim. Kurtosis (34/500)-0.8701000.000200
Trim. Skewness (35/500)0.0006000.992000Trim. Kurtosis (35/500)-0.8765000.000200
Trim. Skewness (36/500)0.0019000.984000Trim. Kurtosis (36/500)-0.8831000.000200
Trim. Skewness (37/500)0.0027000.976000Trim. Kurtosis (37/500)-0.8898000.000200
Trim. Skewness (38/500)0.0034000.976000Trim. Kurtosis (38/500)-0.8976000.000200
Trim. Skewness (39/500)0.0042000.968000Trim. Kurtosis (39/500)-0.9063000.000200
Trim. Skewness (40/500)0.0042000.968000Trim. Kurtosis (40/500)-0.9150000.000200


Figures (Output of Computation)

Input Parameters & R Code

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