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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 18:47:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Nov/30/t12911427180pwt7due1v1j83z.htm/, Retrieved Mon, 29 Apr 2024 09:40:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103739, Retrieved Mon, 29 Apr 2024 09:40:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact154

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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 18:47:15] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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Histogram
Boxplots 
71,86110353
66,76973607
64,74534535
69,57798673
64,87506894
67,07225668
65,68496599
67,00462233
68,15047964
65,83729775
65,72822138
67,16028746
70,4712658
70,79906396
66,71405172
71,72732772
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68,92782388
66,0952471
68,04608891
65,77727963
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68,21922916
68,51977325
73,03028819
69,69916115
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66,74689463
66,68084375
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68,50370276
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66,78396469
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68,16890175
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68,84063389
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65,73025015
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66,23374394
68,52089879
65,29454097
69,09588062
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68,0288012
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64,03142729
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67,08467132
64,87490144
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66,8227252
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65,40960732
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66,93166075
69,5504019
67,88783703
66,73559982
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66,94660064
67,78917101
69,66721091
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67,86394638
66,02925389
67,82192425
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68,6114015
64,02209434
66,48238478
66,43683989
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65,05570833
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70,13219511
63,51649564
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65,70587253
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66,60149527
68,8490314
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67,7714944
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.783712FISHER 4th Cent. Mom.45.191867
FISHER beta 10.008852FISHER beta 22.676315
FISHER gamma 10.094084FISHER gamma 2-0.323685
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.858862FISHER Test 2-1.477415
FISHER Test 1 Probability0.389800FISHER Test 2 Probability0.138800
Pearson 20.053917
Yule using Quartile definition:Weighted Average at Xnp0.050813
Yule using Quartile definition:Weighted Average at X(n+1)p0.053418
Yule using Quartile definition:Empirical Distribution Function0.050813
Yule using Quartile definition:Empirical Distribution Function - Averaging0.053969
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.054520
Yule using Quartile definition:Closest Observation0.050813
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.054520
Yule using Quartile definition:MS Excel (old versions)0.052870
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.094367Kurtosis (small sample)-0.314849
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.864025TEST 1 (small sample)-1.444221
TEST 1 Prob. (small sample)0.384400TEST 1 Prob. (small sample)0.147000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.783712 & FISHER 4th Cent. Mom.45.191867 \tabularnewline FISHER beta 10.008852 & FISHER beta 22.676315 \tabularnewline FISHER gamma 10.094084 & FISHER gamma 2-0.323685 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.858862 & FISHER Test 2-1.477415 \tabularnewline FISHER Test 1 Probability0.389800 & FISHER Test 2 Probability0.138800 \tabularnewline Pearson 20.053917 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.050813 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.053418 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.050813 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.053969 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.054520 & & \tabularnewline Yule using Quartile definition:Closest Observation0.050813 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.054520 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.052870 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.094367 & Kurtosis (small sample)-0.314849 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.864025 & TEST 1 (small sample)-1.444221 \tabularnewline TEST 1 Prob. (small sample)0.384400 & TEST 1 Prob. (small sample)0.147000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103739&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]0.783712[/C][C]FISHER 4th Cent. Mom.[/C]45.191867[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.008852[/C][C]FISHER beta 2[/C]2.676315[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.094084[/C][C]FISHER gamma 2[/C]-0.323685[/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]0.858862[/C][C]FISHER Test 2[/C]-1.477415[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.389800[/C][C]FISHER Test 2 Probability[/C]0.138800[/C][/ROW] [ROW][C]Pearson 2[/C]0.053917[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.050813[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.053418[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.050813[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.053969[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.054520[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.050813[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.054520[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.052870[/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]0.094367[/C][C]Kurtosis (small sample)[/C]-0.314849[/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]0.864025[/C][C]TEST 1 (small sample)[/C]-1.444221[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.384400[/C][C]TEST 1 Prob. (small sample)[/C]0.147000[/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=103739&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103739&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.783712FISHER 4th Cent. Mom.45.191867
FISHER beta 10.008852FISHER beta 22.676315
FISHER gamma 10.094084FISHER gamma 2-0.323685
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.858862FISHER Test 2-1.477415
FISHER Test 1 Probability0.389800FISHER Test 2 Probability0.138800
Pearson 20.053917
Yule using Quartile definition:Weighted Average at Xnp0.050813
Yule using Quartile definition:Weighted Average at X(n+1)p0.053418
Yule using Quartile definition:Empirical Distribution Function0.050813
Yule using Quartile definition:Empirical Distribution Function - Averaging0.053969
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.054520
Yule using Quartile definition:Closest Observation0.050813
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.054520
Yule using Quartile definition:MS Excel (old versions)0.052870
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.094367Kurtosis (small sample)-0.314849
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.864025TEST 1 (small sample)-1.444221
TEST 1 Prob. (small sample)0.384400TEST 1 Prob. (small sample)0.147000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0944000.384400Trim. Kurtosis (0/500)-0.3148000.147000
Trim. Skewness (1/500)0.0889000.412200Trim. Kurtosis (1/500)-0.4059000.062800
Trim. Skewness (2/500)0.0770000.477600Trim. Kurtosis (2/500)-0.4798000.027800
Trim. Skewness (3/500)0.0675000.535200Trim. Kurtosis (3/500)-0.5315000.015000
Trim. Skewness (4/500)0.0567000.603000Trim. Kurtosis (4/500)-0.5741000.008800
Trim. Skewness (5/500)0.0519000.631200Trim. Kurtosis (5/500)-0.5998000.006400
Trim. Skewness (6/500)0.0467000.667200Trim. Kurtosis (6/500)-0.6288000.004400
Trim. Skewness (7/500)0.0401000.711400Trim. Kurtosis (7/500)-0.6564000.003000
Trim. Skewness (8/500)0.0321000.771800Trim. Kurtosis (8/500)-0.6849000.002000
Trim. Skewness (9/500)0.0237000.825800Trim. Kurtosis (9/500)-0.7132000.001200
Trim. Skewness (10/500)0.0152000.888600Trim. Kurtosis (10/500)-0.7424000.000800
Trim. Skewness (11/500)0.0062000.952200Trim. Kurtosis (11/500)-0.7709000.000600
Trim. Skewness (12/500)0.0030000.976000Trim. Kurtosis (12/500)-0.7875000.000400
Trim. Skewness (13/500)0.0003000.992000Trim. Kurtosis (13/500)-0.8041000.000400
Trim. Skewness (14/500)-0.0026000.976000Trim. Kurtosis (14/500)-0.8209000.000200
Trim. Skewness (15/500)-0.0047000.960200Trim. Kurtosis (15/500)-0.8363000.000200
Trim. Skewness (16/500)-0.0050000.960200Trim. Kurtosis (16/500)-0.8498000.000200
Trim. Skewness (17/500)-0.0052000.960200Trim. Kurtosis (17/500)-0.8620000.000200
Trim. Skewness (18/500)-0.0043000.968000Trim. Kurtosis (18/500)-0.8716000.000200
Trim. Skewness (19/500)-0.0042000.968000Trim. Kurtosis (19/500)-0.8806000.000200
Trim. Skewness (20/500)-0.0045000.968000Trim. Kurtosis (20/500)-0.8899000.000000
Trim. Skewness (21/500)-0.0058000.952200Trim. Kurtosis (21/500)-0.8970000.000000
Trim. Skewness (22/500)-0.0062000.952200Trim. Kurtosis (22/500)-0.9034000.000000
Trim. Skewness (23/500)-0.0073000.944200Trim. Kurtosis (23/500)-0.9082000.000000
Trim. Skewness (24/500)-0.0082000.936200Trim. Kurtosis (24/500)-0.9131000.000000
Trim. Skewness (25/500)-0.0097000.928200Trim. Kurtosis (25/500)-0.9164000.000000
Trim. Skewness (26/500)-0.0112000.920400Trim. Kurtosis (26/500)-0.9185000.000000
Trim. Skewness (27/500)-0.0130000.904400Trim. Kurtosis (27/500)-0.9207000.000000
Trim. Skewness (28/500)-0.0152000.888600Trim. Kurtosis (28/500)-0.9226000.000000
Trim. Skewness (29/500)-0.0172000.880800Trim. Kurtosis (29/500)-0.9247000.000000
Trim. Skewness (30/500)-0.0193000.865000Trim. Kurtosis (30/500)-0.9274000.000000
Trim. Skewness (31/500)-0.0215000.849200Trim. Kurtosis (31/500)-0.9295000.000000
Trim. Skewness (32/500)-0.0239000.833600Trim. Kurtosis (32/500)-0.9322000.000000
Trim. Skewness (33/500)-0.0262000.818000Trim. Kurtosis (33/500)-0.9357000.000000
Trim. Skewness (34/500)-0.0287000.802600Trim. Kurtosis (34/500)-0.9400000.000000
Trim. Skewness (35/500)-0.0297000.794800Trim. Kurtosis (35/500)-0.9417000.000000
Trim. Skewness (36/500)-0.0307000.787200Trim. Kurtosis (36/500)-0.9442000.000000
Trim. Skewness (37/500)-0.0316000.787200Trim. Kurtosis (37/500)-0.9470000.000000
Trim. Skewness (38/500)-0.0328000.779400Trim. Kurtosis (38/500)-0.9503000.000000
Trim. Skewness (39/500)-0.0331000.779400Trim. Kurtosis (39/500)-0.9510000.000000
Trim. Skewness (40/500)-0.0331000.779400Trim. Kurtosis (40/500)-0.9515000.000000

\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)0.0944000.384400 & Trim. Kurtosis (0/500)-0.3148000.147000 \tabularnewline Trim. Skewness (1/500)0.0889000.412200 & Trim. Kurtosis (1/500)-0.4059000.062800 \tabularnewline Trim. Skewness (2/500)0.0770000.477600 & Trim. Kurtosis (2/500)-0.4798000.027800 \tabularnewline Trim. Skewness (3/500)0.0675000.535200 & Trim. Kurtosis (3/500)-0.5315000.015000 \tabularnewline Trim. Skewness (4/500)0.0567000.603000 & Trim. Kurtosis (4/500)-0.5741000.008800 \tabularnewline Trim. Skewness (5/500)0.0519000.631200 & Trim. Kurtosis (5/500)-0.5998000.006400 \tabularnewline Trim. Skewness (6/500)0.0467000.667200 & Trim. Kurtosis (6/500)-0.6288000.004400 \tabularnewline Trim. Skewness (7/500)0.0401000.711400 & Trim. Kurtosis (7/500)-0.6564000.003000 \tabularnewline Trim. Skewness (8/500)0.0321000.771800 & Trim. Kurtosis (8/500)-0.6849000.002000 \tabularnewline Trim. Skewness (9/500)0.0237000.825800 & Trim. Kurtosis (9/500)-0.7132000.001200 \tabularnewline Trim. Skewness (10/500)0.0152000.888600 & Trim. Kurtosis (10/500)-0.7424000.000800 \tabularnewline Trim. Skewness (11/500)0.0062000.952200 & Trim. Kurtosis (11/500)-0.7709000.000600 \tabularnewline Trim. Skewness (12/500)0.0030000.976000 & Trim. Kurtosis (12/500)-0.7875000.000400 \tabularnewline Trim. Skewness (13/500)0.0003000.992000 & Trim. Kurtosis (13/500)-0.8041000.000400 \tabularnewline Trim. Skewness (14/500)-0.0026000.976000 & Trim. Kurtosis (14/500)-0.8209000.000200 \tabularnewline Trim. Skewness (15/500)-0.0047000.960200 & Trim. Kurtosis (15/500)-0.8363000.000200 \tabularnewline Trim. Skewness (16/500)-0.0050000.960200 & Trim. Kurtosis (16/500)-0.8498000.000200 \tabularnewline Trim. Skewness (17/500)-0.0052000.960200 & Trim. Kurtosis (17/500)-0.8620000.000200 \tabularnewline Trim. Skewness (18/500)-0.0043000.968000 & Trim. Kurtosis (18/500)-0.8716000.000200 \tabularnewline Trim. Skewness (19/500)-0.0042000.968000 & Trim. Kurtosis (19/500)-0.8806000.000200 \tabularnewline Trim. Skewness (20/500)-0.0045000.968000 & Trim. Kurtosis (20/500)-0.8899000.000000 \tabularnewline Trim. Skewness (21/500)-0.0058000.952200 & Trim. Kurtosis (21/500)-0.8970000.000000 \tabularnewline Trim. Skewness (22/500)-0.0062000.952200 & Trim. Kurtosis (22/500)-0.9034000.000000 \tabularnewline Trim. Skewness (23/500)-0.0073000.944200 & Trim. Kurtosis (23/500)-0.9082000.000000 \tabularnewline Trim. Skewness (24/500)-0.0082000.936200 & Trim. Kurtosis (24/500)-0.9131000.000000 \tabularnewline Trim. Skewness (25/500)-0.0097000.928200 & Trim. Kurtosis (25/500)-0.9164000.000000 \tabularnewline Trim. Skewness (26/500)-0.0112000.920400 & Trim. Kurtosis (26/500)-0.9185000.000000 \tabularnewline Trim. Skewness (27/500)-0.0130000.904400 & Trim. Kurtosis (27/500)-0.9207000.000000 \tabularnewline Trim. Skewness (28/500)-0.0152000.888600 & Trim. Kurtosis (28/500)-0.9226000.000000 \tabularnewline Trim. Skewness (29/500)-0.0172000.880800 & Trim. Kurtosis (29/500)-0.9247000.000000 \tabularnewline Trim. Skewness (30/500)-0.0193000.865000 & Trim. Kurtosis (30/500)-0.9274000.000000 \tabularnewline Trim. Skewness (31/500)-0.0215000.849200 & Trim. Kurtosis (31/500)-0.9295000.000000 \tabularnewline Trim. Skewness (32/500)-0.0239000.833600 & Trim. Kurtosis (32/500)-0.9322000.000000 \tabularnewline Trim. Skewness (33/500)-0.0262000.818000 & Trim. Kurtosis (33/500)-0.9357000.000000 \tabularnewline Trim. Skewness (34/500)-0.0287000.802600 & Trim. Kurtosis (34/500)-0.9400000.000000 \tabularnewline Trim. Skewness (35/500)-0.0297000.794800 & Trim. Kurtosis (35/500)-0.9417000.000000 \tabularnewline Trim. Skewness (36/500)-0.0307000.787200 & Trim. Kurtosis (36/500)-0.9442000.000000 \tabularnewline Trim. Skewness (37/500)-0.0316000.787200 & Trim. Kurtosis (37/500)-0.9470000.000000 \tabularnewline Trim. Skewness (38/500)-0.0328000.779400 & Trim. Kurtosis (38/500)-0.9503000.000000 \tabularnewline Trim. Skewness (39/500)-0.0331000.779400 & Trim. Kurtosis (39/500)-0.9510000.000000 \tabularnewline Trim. Skewness (40/500)-0.0331000.779400 & Trim. Kurtosis (40/500)-0.9515000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103739&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]0.094400[/C]0.384400[/C][C]Trim. Kurtosis (0/500)[/C]-0.314800[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.088900[/C]0.412200[/C][C]Trim. Kurtosis (1/500)[/C]-0.405900[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.077000[/C]0.477600[/C][C]Trim. Kurtosis (2/500)[/C]-0.479800[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.067500[/C]0.535200[/C][C]Trim. Kurtosis (3/500)[/C]-0.531500[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.056700[/C]0.603000[/C][C]Trim. Kurtosis (4/500)[/C]-0.574100[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.051900[/C]0.631200[/C][C]Trim. Kurtosis (5/500)[/C]-0.599800[/C]0.006400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.046700[/C]0.667200[/C][C]Trim. Kurtosis (6/500)[/C]-0.628800[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.040100[/C]0.711400[/C][C]Trim. Kurtosis (7/500)[/C]-0.656400[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.032100[/C]0.771800[/C][C]Trim. Kurtosis (8/500)[/C]-0.684900[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.023700[/C]0.825800[/C][C]Trim. Kurtosis (9/500)[/C]-0.713200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.015200[/C]0.888600[/C][C]Trim. Kurtosis (10/500)[/C]-0.742400[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.006200[/C]0.952200[/C][C]Trim. Kurtosis (11/500)[/C]-0.770900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.003000[/C]0.976000[/C][C]Trim. Kurtosis (12/500)[/C]-0.787500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.000300[/C]0.992000[/C][C]Trim. Kurtosis (13/500)[/C]-0.804100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.002600[/C]0.976000[/C][C]Trim. Kurtosis (14/500)[/C]-0.820900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.004700[/C]0.960200[/C][C]Trim. Kurtosis (15/500)[/C]-0.836300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.005000[/C]0.960200[/C][C]Trim. Kurtosis (16/500)[/C]-0.849800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.005200[/C]0.960200[/C][C]Trim. Kurtosis (17/500)[/C]-0.862000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.004300[/C]0.968000[/C][C]Trim. Kurtosis (18/500)[/C]-0.871600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.004200[/C]0.968000[/C][C]Trim. Kurtosis (19/500)[/C]-0.880600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.004500[/C]0.968000[/C][C]Trim. Kurtosis (20/500)[/C]-0.889900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.005800[/C]0.952200[/C][C]Trim. Kurtosis (21/500)[/C]-0.897000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.006200[/C]0.952200[/C][C]Trim. Kurtosis (22/500)[/C]-0.903400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.007300[/C]0.944200[/C][C]Trim. Kurtosis (23/500)[/C]-0.908200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.008200[/C]0.936200[/C][C]Trim. Kurtosis (24/500)[/C]-0.913100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.009700[/C]0.928200[/C][C]Trim. Kurtosis (25/500)[/C]-0.916400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.011200[/C]0.920400[/C][C]Trim. Kurtosis (26/500)[/C]-0.918500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.013000[/C]0.904400[/C][C]Trim. Kurtosis (27/500)[/C]-0.920700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.015200[/C]0.888600[/C][C]Trim. Kurtosis (28/500)[/C]-0.922600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.017200[/C]0.880800[/C][C]Trim. Kurtosis (29/500)[/C]-0.924700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.019300[/C]0.865000[/C][C]Trim. Kurtosis (30/500)[/C]-0.927400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.021500[/C]0.849200[/C][C]Trim. Kurtosis (31/500)[/C]-0.929500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.023900[/C]0.833600[/C][C]Trim. Kurtosis (32/500)[/C]-0.932200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.026200[/C]0.818000[/C][C]Trim. Kurtosis (33/500)[/C]-0.935700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.028700[/C]0.802600[/C][C]Trim. Kurtosis (34/500)[/C]-0.940000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.029700[/C]0.794800[/C][C]Trim. Kurtosis (35/500)[/C]-0.941700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.030700[/C]0.787200[/C][C]Trim. Kurtosis (36/500)[/C]-0.944200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.031600[/C]0.787200[/C][C]Trim. Kurtosis (37/500)[/C]-0.947000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.032800[/C]0.779400[/C][C]Trim. Kurtosis (38/500)[/C]-0.950300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.033100[/C]0.779400[/C][C]Trim. Kurtosis (39/500)[/C]-0.951000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.033100[/C]0.779400[/C][C]Trim. Kurtosis (40/500)[/C]-0.951500[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103739&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103739&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)0.0944000.384400Trim. Kurtosis (0/500)-0.3148000.147000
Trim. Skewness (1/500)0.0889000.412200Trim. Kurtosis (1/500)-0.4059000.062800
Trim. Skewness (2/500)0.0770000.477600Trim. Kurtosis (2/500)-0.4798000.027800
Trim. Skewness (3/500)0.0675000.535200Trim. Kurtosis (3/500)-0.5315000.015000
Trim. Skewness (4/500)0.0567000.603000Trim. Kurtosis (4/500)-0.5741000.008800
Trim. Skewness (5/500)0.0519000.631200Trim. Kurtosis (5/500)-0.5998000.006400
Trim. Skewness (6/500)0.0467000.667200Trim. Kurtosis (6/500)-0.6288000.004400
Trim. Skewness (7/500)0.0401000.711400Trim. Kurtosis (7/500)-0.6564000.003000
Trim. Skewness (8/500)0.0321000.771800Trim. Kurtosis (8/500)-0.6849000.002000
Trim. Skewness (9/500)0.0237000.825800Trim. Kurtosis (9/500)-0.7132000.001200
Trim. Skewness (10/500)0.0152000.888600Trim. Kurtosis (10/500)-0.7424000.000800
Trim. Skewness (11/500)0.0062000.952200Trim. Kurtosis (11/500)-0.7709000.000600
Trim. Skewness (12/500)0.0030000.976000Trim. Kurtosis (12/500)-0.7875000.000400
Trim. Skewness (13/500)0.0003000.992000Trim. Kurtosis (13/500)-0.8041000.000400
Trim. Skewness (14/500)-0.0026000.976000Trim. Kurtosis (14/500)-0.8209000.000200
Trim. Skewness (15/500)-0.0047000.960200Trim. Kurtosis (15/500)-0.8363000.000200
Trim. Skewness (16/500)-0.0050000.960200Trim. Kurtosis (16/500)-0.8498000.000200
Trim. Skewness (17/500)-0.0052000.960200Trim. Kurtosis (17/500)-0.8620000.000200
Trim. Skewness (18/500)-0.0043000.968000Trim. Kurtosis (18/500)-0.8716000.000200
Trim. Skewness (19/500)-0.0042000.968000Trim. Kurtosis (19/500)-0.8806000.000200
Trim. Skewness (20/500)-0.0045000.968000Trim. Kurtosis (20/500)-0.8899000.000000
Trim. Skewness (21/500)-0.0058000.952200Trim. Kurtosis (21/500)-0.8970000.000000
Trim. Skewness (22/500)-0.0062000.952200Trim. Kurtosis (22/500)-0.9034000.000000
Trim. Skewness (23/500)-0.0073000.944200Trim. Kurtosis (23/500)-0.9082000.000000
Trim. Skewness (24/500)-0.0082000.936200Trim. Kurtosis (24/500)-0.9131000.000000
Trim. Skewness (25/500)-0.0097000.928200Trim. Kurtosis (25/500)-0.9164000.000000
Trim. Skewness (26/500)-0.0112000.920400Trim. Kurtosis (26/500)-0.9185000.000000
Trim. Skewness (27/500)-0.0130000.904400Trim. Kurtosis (27/500)-0.9207000.000000
Trim. Skewness (28/500)-0.0152000.888600Trim. Kurtosis (28/500)-0.9226000.000000
Trim. Skewness (29/500)-0.0172000.880800Trim. Kurtosis (29/500)-0.9247000.000000
Trim. Skewness (30/500)-0.0193000.865000Trim. Kurtosis (30/500)-0.9274000.000000
Trim. Skewness (31/500)-0.0215000.849200Trim. Kurtosis (31/500)-0.9295000.000000
Trim. Skewness (32/500)-0.0239000.833600Trim. Kurtosis (32/500)-0.9322000.000000
Trim. Skewness (33/500)-0.0262000.818000Trim. Kurtosis (33/500)-0.9357000.000000
Trim. Skewness (34/500)-0.0287000.802600Trim. Kurtosis (34/500)-0.9400000.000000
Trim. Skewness (35/500)-0.0297000.794800Trim. Kurtosis (35/500)-0.9417000.000000
Trim. Skewness (36/500)-0.0307000.787200Trim. Kurtosis (36/500)-0.9442000.000000
Trim. Skewness (37/500)-0.0316000.787200Trim. Kurtosis (37/500)-0.9470000.000000
Trim. Skewness (38/500)-0.0328000.779400Trim. Kurtosis (38/500)-0.9503000.000000
Trim. Skewness (39/500)-0.0331000.779400Trim. Kurtosis (39/500)-0.9510000.000000
Trim. Skewness (40/500)-0.0331000.779400Trim. Kurtosis (40/500)-0.9515000.000000


Figures (Output of Computation)

Input Parameters & R Code

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