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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 computationWed, 01 Dec 2010 14:04:14 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/01/t1291212130lov8xofov6q2anx.htm/, Retrieved Sat, 04 May 2024 21:32:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104006, Retrieved Sat, 04 May 2024 21:32:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

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Dataset

Dataseries X:
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Boxplots 
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.054521FISHER beta 25.107090
FISHER gamma 10.233497FISHER gamma 22.107090
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 12.129389FISHER Test 29.607884
FISHER Test 1 Probability0.033200FISHER Test 2 Probability0.000000
Pearson 20.122447
Yule using Quartile definition:Weighted Average at Xnp0.048655
Yule using Quartile definition:Weighted Average at X(n+1)p0.051071
Yule using Quartile definition:Empirical Distribution Function0.051071
Yule using Quartile definition:Empirical Distribution Function - Averaging0.051071
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.053567
Yule using Quartile definition:Closest Observation0.048648
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051071
Yule using Quartile definition:MS Excel (old versions)0.051071
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.234201Kurtosis (small sample)2.140478
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)2.142217TEST 1 (small sample)9.808704
TEST 1 Prob. (small sample)0.031600TEST 1 Prob. (small sample)0.000000
Observations499

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.0.000000 & FISHER 4th Cent. Mom.0.000000 \tabularnewline FISHER beta 10.054521 & FISHER beta 25.107090 \tabularnewline FISHER gamma 10.233497 & FISHER gamma 22.107090 \tabularnewline FISHER gamma 1 (S.E.)0.109654 & FISHER gamma 2 (S.E.)0.219308 \tabularnewline FISHER Test 12.129389 & FISHER Test 29.607884 \tabularnewline FISHER Test 1 Probability0.033200 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 20.122447 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.048655 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.051071 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.051071 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.051071 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.053567 & & \tabularnewline Yule using Quartile definition:Closest Observation0.048648 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051071 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.051071 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.234201 & Kurtosis (small sample)2.140478 \tabularnewline Skewness S.E. (small sample)0.109327 & Kurtosis S.E. (small sample)0.218222 \tabularnewline TEST 1 (small sample)2.142217 & TEST 1 (small sample)9.808704 \tabularnewline TEST 1 Prob. (small sample)0.031600 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations499 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104006&T=0

[TABLE]

[ROW][C]Skewness and Kurtosis - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure[/C]
Value[/C]Kurtosis Measure[/C]Value[/C][/ROW] [ROW][C]FISHER 3rd Cent. Mom.[/C]0.000000[/C][C]FISHER 4th Cent. Mom.[/C]0.000000[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.054521[/C][C]FISHER beta 2[/C]5.107090[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.233497[/C][C]FISHER gamma 2[/C]2.107090[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109654[/C][C]FISHER gamma 2 (S.E.)[/C]0.219308[/C][/ROW] [ROW][C]FISHER Test 1[/C]2.129389[/C][C]FISHER Test 2[/C]9.607884[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.033200[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]0.122447[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.048655[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.051071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.051071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.051071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.053567[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.048648[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.051071[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.051071[/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]0.234201[/C][C]Kurtosis (small sample)[/C]2.140478[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109327[/C][C]Kurtosis S.E. (small sample)[/C]0.218222[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]2.142217[/C][C]TEST 1 (small sample)[/C]9.808704[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.031600[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][/ROW] [ROW][C]Observations[/C]499[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104006&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104006&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.054521FISHER beta 25.107090
FISHER gamma 10.233497FISHER gamma 22.107090
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 12.129389FISHER Test 29.607884
FISHER Test 1 Probability0.033200FISHER Test 2 Probability0.000000
Pearson 20.122447
Yule using Quartile definition:Weighted Average at Xnp0.048655
Yule using Quartile definition:Weighted Average at X(n+1)p0.051071
Yule using Quartile definition:Empirical Distribution Function0.051071
Yule using Quartile definition:Empirical Distribution Function - Averaging0.051071
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.053567
Yule using Quartile definition:Closest Observation0.048648
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.051071
Yule using Quartile definition:MS Excel (old versions)0.051071
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.234201Kurtosis (small sample)2.140478
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)2.142217TEST 1 (small sample)9.808704
TEST 1 Prob. (small sample)0.031600TEST 1 Prob. (small sample)0.000000
Observations499






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)0.2342000.031600Trim. Kurtosis (0/499)2.1405000.000000
Trim. Skewness (1/499)0.1245000.254200Trim. Kurtosis (1/499)0.7020000.001200
Trim. Skewness (2/499)0.1214000.267000Trim. Kurtosis (2/499)0.5492000.012000
Trim. Skewness (3/499)0.1169000.284600Trim. Kurtosis (3/499)0.4810000.027800
Trim. Skewness (4/499)0.1142000.298400Trim. Kurtosis (4/499)0.4088000.062800
Trim. Skewness (5/499)0.1136000.303000Trim. Kurtosis (5/499)0.3420000.118800
Trim. Skewness (6/499)0.1105000.317400Trim. Kurtosis (6/499)0.2720000.215000
Trim. Skewness (7/499)0.1038000.347200Trim. Kurtosis (7/499)0.2100000.342200
Trim. Skewness (8/499)0.0963000.384400Trim. Kurtosis (8/499)0.1383000.528600
Trim. Skewness (9/499)0.0952000.389800Trim. Kurtosis (9/499)0.0887000.689200
Trim. Skewness (10/499)0.0938000.395400Trim. Kurtosis (10/499)0.0385000.857200
Trim. Skewness (11/499)0.0965000.384400Trim. Kurtosis (11/499)-0.0005000.992000
Trim. Skewness (12/499)0.0975000.384400Trim. Kurtosis (12/499)-0.0433000.841400
Trim. Skewness (13/499)0.0948000.395400Trim. Kurtosis (13/499)-0.0764000.726400
Trim. Skewness (14/499)0.0928000.406600Trim. Kurtosis (14/499)-0.1121000.617000
Trim. Skewness (15/499)0.0913000.412200Trim. Kurtosis (15/499)-0.1427000.522200
Trim. Skewness (16/499)0.0895000.423800Trim. Kurtosis (16/499)-0.1736000.441200
Trim. Skewness (17/499)0.0879000.435400Trim. Kurtosis (17/499)-0.2085000.352400
Trim. Skewness (18/499)0.0828000.465400Trim. Kurtosis (18/499)-0.2342000.298400
Trim. Skewness (19/499)0.0765000.496400Trim. Kurtosis (19/499)-0.2623000.246000
Trim. Skewness (20/499)0.0717000.528600Trim. Kurtosis (20/499)-0.2888000.204000
Trim. Skewness (21/499)0.0674000.555200Trim. Kurtosis (21/499)-0.3181000.161600
Trim. Skewness (22/499)0.0625000.582400Trim. Kurtosis (22/499)-0.3527000.121200
Trim. Skewness (23/499)0.0540000.631200Trim. Kurtosis (23/499)-0.3871000.089200
Trim. Skewness (24/499)0.0476000.674400Trim. Kurtosis (24/499)-0.4176000.067200
Trim. Skewness (25/499)0.0405000.718800Trim. Kurtosis (25/499)-0.4516000.048800
Trim. Skewness (26/499)0.0313000.779400Trim. Kurtosis (26/499)-0.4830000.035800
Trim. Skewness (27/499)0.0231000.841400Trim. Kurtosis (27/499)-0.5127000.026400
Trim. Skewness (28/499)0.0173000.880800Trim. Kurtosis (28/499)-0.5376000.019800
Trim. Skewness (29/499)0.0127000.912400Trim. Kurtosis (29/499)-0.5623000.015000
Trim. Skewness (30/499)0.0072000.944200Trim. Kurtosis (30/499)-0.5892000.011000
Trim. Skewness (31/499)0.0015000.984000Trim. Kurtosis (31/499)-0.6059000.009400
Trim. Skewness (32/499)-0.0046000.968000Trim. Kurtosis (32/499)-0.6250000.007400
Trim. Skewness (33/499)-0.0094000.928200Trim. Kurtosis (33/499)-0.6407000.006200
Trim. Skewness (34/499)-0.0148000.896600Trim. Kurtosis (34/499)-0.6577000.005000
Trim. Skewness (35/499)-0.0206000.857200Trim. Kurtosis (35/499)-0.6765000.004000
Trim. Skewness (36/499)-0.0261000.818000Trim. Kurtosis (36/499)-0.6963000.003000
Trim. Skewness (37/499)-0.0306000.794800Trim. Kurtosis (37/499)-0.7161000.002400
Trim. Skewness (38/499)-0.0332000.779400Trim. Kurtosis (38/499)-0.7343000.001800
Trim. Skewness (39/499)-0.0359000.756600Trim. Kurtosis (39/499)-0.7549000.001400
Trim. Skewness (40/499)-0.0359000.756600Trim. Kurtosis (40/499)-0.7703000.001200

\begin{tabular}{lllllllll}
\hline

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data \tabularnewline

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/499)0.2342000.031600 & Trim. Kurtosis (0/499)2.1405000.000000 \tabularnewline Trim. Skewness (1/499)0.1245000.254200 & Trim. Kurtosis (1/499)0.7020000.001200 \tabularnewline Trim. Skewness (2/499)0.1214000.267000 & Trim. Kurtosis (2/499)0.5492000.012000 \tabularnewline Trim. Skewness (3/499)0.1169000.284600 & Trim. Kurtosis (3/499)0.4810000.027800 \tabularnewline Trim. Skewness (4/499)0.1142000.298400 & Trim. Kurtosis (4/499)0.4088000.062800 \tabularnewline Trim. Skewness (5/499)0.1136000.303000 & Trim. Kurtosis (5/499)0.3420000.118800 \tabularnewline Trim. Skewness (6/499)0.1105000.317400 & Trim. Kurtosis (6/499)0.2720000.215000 \tabularnewline Trim. Skewness (7/499)0.1038000.347200 & Trim. Kurtosis (7/499)0.2100000.342200 \tabularnewline Trim. Skewness (8/499)0.0963000.384400 & Trim. Kurtosis (8/499)0.1383000.528600 \tabularnewline Trim. Skewness (9/499)0.0952000.389800 & Trim. Kurtosis (9/499)0.0887000.689200 \tabularnewline Trim. Skewness (10/499)0.0938000.395400 & Trim. Kurtosis (10/499)0.0385000.857200 \tabularnewline Trim. Skewness (11/499)0.0965000.384400 & Trim. Kurtosis (11/499)-0.0005000.992000 \tabularnewline Trim. Skewness (12/499)0.0975000.384400 & Trim. Kurtosis (12/499)-0.0433000.841400 \tabularnewline Trim. Skewness (13/499)0.0948000.395400 & Trim. Kurtosis (13/499)-0.0764000.726400 \tabularnewline Trim. Skewness (14/499)0.0928000.406600 & Trim. Kurtosis (14/499)-0.1121000.617000 \tabularnewline Trim. Skewness (15/499)0.0913000.412200 & Trim. Kurtosis (15/499)-0.1427000.522200 \tabularnewline Trim. Skewness (16/499)0.0895000.423800 & Trim. Kurtosis (16/499)-0.1736000.441200 \tabularnewline Trim. Skewness (17/499)0.0879000.435400 & Trim. Kurtosis (17/499)-0.2085000.352400 \tabularnewline Trim. Skewness (18/499)0.0828000.465400 & Trim. Kurtosis (18/499)-0.2342000.298400 \tabularnewline Trim. Skewness (19/499)0.0765000.496400 & Trim. Kurtosis (19/499)-0.2623000.246000 \tabularnewline Trim. Skewness (20/499)0.0717000.528600 & Trim. Kurtosis (20/499)-0.2888000.204000 \tabularnewline Trim. Skewness (21/499)0.0674000.555200 & Trim. Kurtosis (21/499)-0.3181000.161600 \tabularnewline Trim. Skewness (22/499)0.0625000.582400 & Trim. Kurtosis (22/499)-0.3527000.121200 \tabularnewline Trim. Skewness (23/499)0.0540000.631200 & Trim. Kurtosis (23/499)-0.3871000.089200 \tabularnewline Trim. Skewness (24/499)0.0476000.674400 & Trim. Kurtosis (24/499)-0.4176000.067200 \tabularnewline Trim. Skewness (25/499)0.0405000.718800 & Trim. Kurtosis (25/499)-0.4516000.048800 \tabularnewline Trim. Skewness (26/499)0.0313000.779400 & Trim. Kurtosis (26/499)-0.4830000.035800 \tabularnewline Trim. Skewness (27/499)0.0231000.841400 & Trim. Kurtosis (27/499)-0.5127000.026400 \tabularnewline Trim. Skewness (28/499)0.0173000.880800 & Trim. Kurtosis (28/499)-0.5376000.019800 \tabularnewline Trim. Skewness (29/499)0.0127000.912400 & Trim. Kurtosis (29/499)-0.5623000.015000 \tabularnewline Trim. Skewness (30/499)0.0072000.944200 & Trim. Kurtosis (30/499)-0.5892000.011000 \tabularnewline Trim. Skewness (31/499)0.0015000.984000 & Trim. Kurtosis (31/499)-0.6059000.009400 \tabularnewline Trim. Skewness (32/499)-0.0046000.968000 & Trim. Kurtosis (32/499)-0.6250000.007400 \tabularnewline Trim. Skewness (33/499)-0.0094000.928200 & Trim. Kurtosis (33/499)-0.6407000.006200 \tabularnewline Trim. Skewness (34/499)-0.0148000.896600 & Trim. Kurtosis (34/499)-0.6577000.005000 \tabularnewline Trim. Skewness (35/499)-0.0206000.857200 & Trim. Kurtosis (35/499)-0.6765000.004000 \tabularnewline Trim. Skewness (36/499)-0.0261000.818000 & Trim. Kurtosis (36/499)-0.6963000.003000 \tabularnewline Trim. Skewness (37/499)-0.0306000.794800 & Trim. Kurtosis (37/499)-0.7161000.002400 \tabularnewline Trim. Skewness (38/499)-0.0332000.779400 & Trim. Kurtosis (38/499)-0.7343000.001800 \tabularnewline Trim. Skewness (39/499)-0.0359000.756600 & Trim. Kurtosis (39/499)-0.7549000.001400 \tabularnewline Trim. Skewness (40/499)-0.0359000.756600 & Trim. Kurtosis (40/499)-0.7703000.001200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=104006&T=1

[TABLE]

[ROW][C]Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data[/C][/ROW]

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/499)[/C]0.234200[/C]0.031600[/C][C]Trim. Kurtosis (0/499)[/C]2.140500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/499)[/C]0.124500[/C]0.254200[/C][C]Trim. Kurtosis (1/499)[/C]0.702000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (2/499)[/C]0.121400[/C]0.267000[/C][C]Trim. Kurtosis (2/499)[/C]0.549200[/C]0.012000[/C][/ROW] [ROW][C]Trim. Skewness (3/499)[/C]0.116900[/C]0.284600[/C][C]Trim. Kurtosis (3/499)[/C]0.481000[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (4/499)[/C]0.114200[/C]0.298400[/C][C]Trim. Kurtosis (4/499)[/C]0.408800[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (5/499)[/C]0.113600[/C]0.303000[/C][C]Trim. Kurtosis (5/499)[/C]0.342000[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (6/499)[/C]0.110500[/C]0.317400[/C][C]Trim. Kurtosis (6/499)[/C]0.272000[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (7/499)[/C]0.103800[/C]0.347200[/C][C]Trim. Kurtosis (7/499)[/C]0.210000[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (8/499)[/C]0.096300[/C]0.384400[/C][C]Trim. Kurtosis (8/499)[/C]0.138300[/C]0.528600[/C][/ROW] [ROW][C]Trim. Skewness (9/499)[/C]0.095200[/C]0.389800[/C][C]Trim. Kurtosis (9/499)[/C]0.088700[/C]0.689200[/C][/ROW] [ROW][C]Trim. Skewness (10/499)[/C]0.093800[/C]0.395400[/C][C]Trim. Kurtosis (10/499)[/C]0.038500[/C]0.857200[/C][/ROW] [ROW][C]Trim. Skewness (11/499)[/C]0.096500[/C]0.384400[/C][C]Trim. Kurtosis (11/499)[/C]-0.000500[/C]0.992000[/C][/ROW] [ROW][C]Trim. Skewness (12/499)[/C]0.097500[/C]0.384400[/C][C]Trim. Kurtosis (12/499)[/C]-0.043300[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (13/499)[/C]0.094800[/C]0.395400[/C][C]Trim. Kurtosis (13/499)[/C]-0.076400[/C]0.726400[/C][/ROW] [ROW][C]Trim. Skewness (14/499)[/C]0.092800[/C]0.406600[/C][C]Trim. Kurtosis (14/499)[/C]-0.112100[/C]0.617000[/C][/ROW] [ROW][C]Trim. Skewness (15/499)[/C]0.091300[/C]0.412200[/C][C]Trim. Kurtosis (15/499)[/C]-0.142700[/C]0.522200[/C][/ROW] [ROW][C]Trim. Skewness (16/499)[/C]0.089500[/C]0.423800[/C][C]Trim. Kurtosis (16/499)[/C]-0.173600[/C]0.441200[/C][/ROW] [ROW][C]Trim. Skewness (17/499)[/C]0.087900[/C]0.435400[/C][C]Trim. Kurtosis (17/499)[/C]-0.208500[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (18/499)[/C]0.082800[/C]0.465400[/C][C]Trim. Kurtosis (18/499)[/C]-0.234200[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (19/499)[/C]0.076500[/C]0.496400[/C][C]Trim. Kurtosis (19/499)[/C]-0.262300[/C]0.246000[/C][/ROW] [ROW][C]Trim. Skewness (20/499)[/C]0.071700[/C]0.528600[/C][C]Trim. Kurtosis (20/499)[/C]-0.288800[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (21/499)[/C]0.067400[/C]0.555200[/C][C]Trim. Kurtosis (21/499)[/C]-0.318100[/C]0.161600[/C][/ROW] [ROW][C]Trim. Skewness (22/499)[/C]0.062500[/C]0.582400[/C][C]Trim. Kurtosis (22/499)[/C]-0.352700[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (23/499)[/C]0.054000[/C]0.631200[/C][C]Trim. Kurtosis (23/499)[/C]-0.387100[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (24/499)[/C]0.047600[/C]0.674400[/C][C]Trim. Kurtosis (24/499)[/C]-0.417600[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (25/499)[/C]0.040500[/C]0.718800[/C][C]Trim. Kurtosis (25/499)[/C]-0.451600[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (26/499)[/C]0.031300[/C]0.779400[/C][C]Trim. Kurtosis (26/499)[/C]-0.483000[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (27/499)[/C]0.023100[/C]0.841400[/C][C]Trim. Kurtosis (27/499)[/C]-0.512700[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (28/499)[/C]0.017300[/C]0.880800[/C][C]Trim. Kurtosis (28/499)[/C]-0.537600[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (29/499)[/C]0.012700[/C]0.912400[/C][C]Trim. Kurtosis (29/499)[/C]-0.562300[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (30/499)[/C]0.007200[/C]0.944200[/C][C]Trim. Kurtosis (30/499)[/C]-0.589200[/C]0.011000[/C][/ROW] [ROW][C]Trim. Skewness (31/499)[/C]0.001500[/C]0.984000[/C][C]Trim. Kurtosis (31/499)[/C]-0.605900[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (32/499)[/C]-0.004600[/C]0.968000[/C][C]Trim. Kurtosis (32/499)[/C]-0.625000[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (33/499)[/C]-0.009400[/C]0.928200[/C][C]Trim. Kurtosis (33/499)[/C]-0.640700[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (34/499)[/C]-0.014800[/C]0.896600[/C][C]Trim. Kurtosis (34/499)[/C]-0.657700[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (35/499)[/C]-0.020600[/C]0.857200[/C][C]Trim. Kurtosis (35/499)[/C]-0.676500[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (36/499)[/C]-0.026100[/C]0.818000[/C][C]Trim. Kurtosis (36/499)[/C]-0.696300[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (37/499)[/C]-0.030600[/C]0.794800[/C][C]Trim. Kurtosis (37/499)[/C]-0.716100[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (38/499)[/C]-0.033200[/C]0.779400[/C][C]Trim. Kurtosis (38/499)[/C]-0.734300[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (39/499)[/C]-0.035900[/C]0.756600[/C][C]Trim. Kurtosis (39/499)[/C]-0.754900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (40/499)[/C]-0.035900[/C]0.756600[/C][C]Trim. Kurtosis (40/499)[/C]-0.770300[/C]0.001200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=104006&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104006&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)0.2342000.031600Trim. Kurtosis (0/499)2.1405000.000000
Trim. Skewness (1/499)0.1245000.254200Trim. Kurtosis (1/499)0.7020000.001200
Trim. Skewness (2/499)0.1214000.267000Trim. Kurtosis (2/499)0.5492000.012000
Trim. Skewness (3/499)0.1169000.284600Trim. Kurtosis (3/499)0.4810000.027800
Trim. Skewness (4/499)0.1142000.298400Trim. Kurtosis (4/499)0.4088000.062800
Trim. Skewness (5/499)0.1136000.303000Trim. Kurtosis (5/499)0.3420000.118800
Trim. Skewness (6/499)0.1105000.317400Trim. Kurtosis (6/499)0.2720000.215000
Trim. Skewness (7/499)0.1038000.347200Trim. Kurtosis (7/499)0.2100000.342200
Trim. Skewness (8/499)0.0963000.384400Trim. Kurtosis (8/499)0.1383000.528600
Trim. Skewness (9/499)0.0952000.389800Trim. Kurtosis (9/499)0.0887000.689200
Trim. Skewness (10/499)0.0938000.395400Trim. Kurtosis (10/499)0.0385000.857200
Trim. Skewness (11/499)0.0965000.384400Trim. Kurtosis (11/499)-0.0005000.992000
Trim. Skewness (12/499)0.0975000.384400Trim. Kurtosis (12/499)-0.0433000.841400
Trim. Skewness (13/499)0.0948000.395400Trim. Kurtosis (13/499)-0.0764000.726400
Trim. Skewness (14/499)0.0928000.406600Trim. Kurtosis (14/499)-0.1121000.617000
Trim. Skewness (15/499)0.0913000.412200Trim. Kurtosis (15/499)-0.1427000.522200
Trim. Skewness (16/499)0.0895000.423800Trim. Kurtosis (16/499)-0.1736000.441200
Trim. Skewness (17/499)0.0879000.435400Trim. Kurtosis (17/499)-0.2085000.352400
Trim. Skewness (18/499)0.0828000.465400Trim. Kurtosis (18/499)-0.2342000.298400
Trim. Skewness (19/499)0.0765000.496400Trim. Kurtosis (19/499)-0.2623000.246000
Trim. Skewness (20/499)0.0717000.528600Trim. Kurtosis (20/499)-0.2888000.204000
Trim. Skewness (21/499)0.0674000.555200Trim. Kurtosis (21/499)-0.3181000.161600
Trim. Skewness (22/499)0.0625000.582400Trim. Kurtosis (22/499)-0.3527000.121200
Trim. Skewness (23/499)0.0540000.631200Trim. Kurtosis (23/499)-0.3871000.089200
Trim. Skewness (24/499)0.0476000.674400Trim. Kurtosis (24/499)-0.4176000.067200
Trim. Skewness (25/499)0.0405000.718800Trim. Kurtosis (25/499)-0.4516000.048800
Trim. Skewness (26/499)0.0313000.779400Trim. Kurtosis (26/499)-0.4830000.035800
Trim. Skewness (27/499)0.0231000.841400Trim. Kurtosis (27/499)-0.5127000.026400
Trim. Skewness (28/499)0.0173000.880800Trim. Kurtosis (28/499)-0.5376000.019800
Trim. Skewness (29/499)0.0127000.912400Trim. Kurtosis (29/499)-0.5623000.015000
Trim. Skewness (30/499)0.0072000.944200Trim. Kurtosis (30/499)-0.5892000.011000
Trim. Skewness (31/499)0.0015000.984000Trim. Kurtosis (31/499)-0.6059000.009400
Trim. Skewness (32/499)-0.0046000.968000Trim. Kurtosis (32/499)-0.6250000.007400
Trim. Skewness (33/499)-0.0094000.928200Trim. Kurtosis (33/499)-0.6407000.006200
Trim. Skewness (34/499)-0.0148000.896600Trim. Kurtosis (34/499)-0.6577000.005000
Trim. Skewness (35/499)-0.0206000.857200Trim. Kurtosis (35/499)-0.6765000.004000
Trim. Skewness (36/499)-0.0261000.818000Trim. Kurtosis (36/499)-0.6963000.003000
Trim. Skewness (37/499)-0.0306000.794800Trim. Kurtosis (37/499)-0.7161000.002400
Trim. Skewness (38/499)-0.0332000.779400Trim. Kurtosis (38/499)-0.7343000.001800
Trim. Skewness (39/499)-0.0359000.756600Trim. Kurtosis (39/499)-0.7549000.001400
Trim. Skewness (40/499)-0.0359000.756600Trim. Kurtosis (40/499)-0.7703000.001200


Figures (Output of Computation)

Input Parameters & R Code

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