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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 18:42:29 +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/t12911424292xv55ejk1kme5sn.htm/, Retrieved Mon, 29 Apr 2024 08:24:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103732, Retrieved Mon, 29 Apr 2024 08:24:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

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 18:42:29] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
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Histogram
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51,91858599
45,76096424
51,63946398
51,68960086
50,41310598
51,25360862
51,89581331
52,9665159
48,00246958
51,33581971
52,28156921
49,61634677
48,55756644
50,24266446
50,89905125
51,39436491
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55,13911249
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51,62804587
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.986650FISHER 4th Cent. Mom.37.616779
FISHER beta 10.020038FISHER beta 22.825358
FISHER gamma 1-0.141557FISHER gamma 2-0.174642
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.292234FISHER Test 2-0.797126
FISHER Test 1 Probability0.193600FISHER Test 2 Probability0.423800
Pearson 2-0.013837
Yule using Quartile definition:Weighted Average at Xnp0.056324
Yule using Quartile definition:Weighted Average at X(n+1)p0.058157
Yule using Quartile definition:Empirical Distribution Function0.056324
Yule using Quartile definition:Empirical Distribution Function - Averaging0.057583
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.057009
Yule using Quartile definition:Closest Observation0.056324
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.057009
Yule using Quartile definition:MS Excel (old versions)0.058730
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.141984Kurtosis (small sample)-0.164304
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.300003TEST 1 (small sample)-0.753667
TEST 1 Prob. (small sample)0.190200TEST 1 Prob. (small sample)0.447200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.986650 & FISHER 4th Cent. Mom.37.616779 \tabularnewline FISHER beta 10.020038 & FISHER beta 22.825358 \tabularnewline FISHER gamma 1-0.141557 & FISHER gamma 2-0.174642 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-1.292234 & FISHER Test 2-0.797126 \tabularnewline FISHER Test 1 Probability0.193600 & FISHER Test 2 Probability0.423800 \tabularnewline Pearson 2-0.013837 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.056324 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.058157 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.056324 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.057583 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.057009 & & \tabularnewline Yule using Quartile definition:Closest Observation0.056324 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.057009 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.058730 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.141984 & Kurtosis (small sample)-0.164304 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-1.300003 & TEST 1 (small sample)-0.753667 \tabularnewline TEST 1 Prob. (small sample)0.190200 & TEST 1 Prob. (small sample)0.447200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103732&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]-0.986650[/C][C]FISHER 4th Cent. Mom.[/C]37.616779[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.020038[/C][C]FISHER beta 2[/C]2.825358[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.141557[/C][C]FISHER gamma 2[/C]-0.174642[/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]-1.292234[/C][C]FISHER Test 2[/C]-0.797126[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.193600[/C][C]FISHER Test 2 Probability[/C]0.423800[/C][/ROW] [ROW][C]Pearson 2[/C]-0.013837[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.056324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.058157[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.056324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.057583[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.057009[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.056324[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.057009[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.058730[/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]-0.141984[/C][C]Kurtosis (small sample)[/C]-0.164304[/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]-1.300003[/C][C]TEST 1 (small sample)[/C]-0.753667[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.190200[/C][C]TEST 1 Prob. (small sample)[/C]0.447200[/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=103732&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103732&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.-0.986650FISHER 4th Cent. Mom.37.616779
FISHER beta 10.020038FISHER beta 22.825358
FISHER gamma 1-0.141557FISHER gamma 2-0.174642
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.292234FISHER Test 2-0.797126
FISHER Test 1 Probability0.193600FISHER Test 2 Probability0.423800
Pearson 2-0.013837
Yule using Quartile definition:Weighted Average at Xnp0.056324
Yule using Quartile definition:Weighted Average at X(n+1)p0.058157
Yule using Quartile definition:Empirical Distribution Function0.056324
Yule using Quartile definition:Empirical Distribution Function - Averaging0.057583
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.057009
Yule using Quartile definition:Closest Observation0.056324
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.057009
Yule using Quartile definition:MS Excel (old versions)0.058730
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.141984Kurtosis (small sample)-0.164304
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.300003TEST 1 (small sample)-0.753667
TEST 1 Prob. (small sample)0.190200TEST 1 Prob. (small sample)0.447200
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1420000.190200Trim. Kurtosis (0/500)-0.1643000.447200
Trim. Skewness (1/500)-0.1080000.322200Trim. Kurtosis (1/500)-0.3619000.097000
Trim. Skewness (2/500)-0.1191000.275800Trim. Kurtosis (2/500)-0.4057000.062800
Trim. Skewness (3/500)-0.1242000.254200Trim. Kurtosis (3/500)-0.4399000.044400
Trim. Skewness (4/500)-0.1297000.238000Trim. Kurtosis (4/500)-0.4790000.029200
Trim. Skewness (5/500)-0.1363000.215000Trim. Kurtosis (5/500)-0.5222000.017400
Trim. Skewness (6/500)-0.1428000.193600Trim. Kurtosis (6/500)-0.5675000.009800
Trim. Skewness (7/500)-0.1465000.183600Trim. Kurtosis (7/500)-0.6011000.006600
Trim. Skewness (8/500)-0.1483000.180200Trim. Kurtosis (8/500)-0.6309000.004400
Trim. Skewness (9/500)-0.1488000.180200Trim. Kurtosis (9/500)-0.6584000.003000
Trim. Skewness (10/500)-0.1494000.177000Trim. Kurtosis (10/500)-0.6867000.002000
Trim. Skewness (11/500)-0.1517000.173800Trim. Kurtosis (11/500)-0.7133000.001400
Trim. Skewness (12/500)-0.1508000.177000Trim. Kurtosis (12/500)-0.7359000.001000
Trim. Skewness (13/500)-0.1448000.193600Trim. Kurtosis (13/500)-0.7528000.000800
Trim. Skewness (14/500)-0.1383000.215000Trim. Kurtosis (14/500)-0.7703000.000600
Trim. Skewness (15/500)-0.1331000.234000Trim. Kurtosis (15/500)-0.7852000.000400
Trim. Skewness (16/500)-0.1274000.258400Trim. Kurtosis (16/500)-0.8021000.000400
Trim. Skewness (17/500)-0.1214000.280200Trim. Kurtosis (17/500)-0.8205000.000200
Trim. Skewness (18/500)-0.1164000.303000Trim. Kurtosis (18/500)-0.8370000.000200
Trim. Skewness (19/500)-0.1131000.317400Trim. Kurtosis (19/500)-0.8450000.000200
Trim. Skewness (20/500)-0.1097000.332000Trim. Kurtosis (20/500)-0.8528000.000200
Trim. Skewness (21/500)-0.1072000.347200Trim. Kurtosis (21/500)-0.8585000.000200
Trim. Skewness (22/500)-0.1048000.357600Trim. Kurtosis (22/500)-0.8648000.000200
Trim. Skewness (23/500)-0.1023000.368200Trim. Kurtosis (23/500)-0.8718000.000200
Trim. Skewness (24/500)-0.1003000.378800Trim. Kurtosis (24/500)-0.8779000.000200
Trim. Skewness (25/500)-0.0980000.389800Trim. Kurtosis (25/500)-0.8849000.000200
Trim. Skewness (26/500)-0.0957000.406600Trim. Kurtosis (26/500)-0.8918000.000200
Trim. Skewness (27/500)-0.0930000.418000Trim. Kurtosis (27/500)-0.8984000.000000
Trim. Skewness (28/500)-0.0901000.435400Trim. Kurtosis (28/500)-0.9060000.000000
Trim. Skewness (29/500)-0.0867000.453200Trim. Kurtosis (29/500)-0.9138000.000000
Trim. Skewness (30/500)-0.0830000.471600Trim. Kurtosis (30/500)-0.9228000.000000
Trim. Skewness (31/500)-0.0792000.496400Trim. Kurtosis (31/500)-0.9323000.000000
Trim. Skewness (32/500)-0.0772000.502800Trim. Kurtosis (32/500)-0.9370000.000000
Trim. Skewness (33/500)-0.0750000.515600Trim. Kurtosis (33/500)-0.9426000.000000
Trim. Skewness (34/500)-0.0725000.535200Trim. Kurtosis (34/500)-0.9490000.000000
Trim. Skewness (35/500)-0.0700000.548400Trim. Kurtosis (35/500)-0.9562000.000000
Trim. Skewness (36/500)-0.0672000.568600Trim. Kurtosis (36/500)-0.9629000.000000
Trim. Skewness (37/500)-0.0649000.582400Trim. Kurtosis (37/500)-0.9693000.000000
Trim. Skewness (38/500)-0.0623000.596200Trim. Kurtosis (38/500)-0.9761000.000000
Trim. Skewness (39/500)-0.0593000.617000Trim. Kurtosis (39/500)-0.9830000.000000
Trim. Skewness (40/500)-0.0564000.631200Trim. Kurtosis (40/500)-0.9900000.000000

\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)-0.1420000.190200 & Trim. Kurtosis (0/500)-0.1643000.447200 \tabularnewline Trim. Skewness (1/500)-0.1080000.322200 & Trim. Kurtosis (1/500)-0.3619000.097000 \tabularnewline Trim. Skewness (2/500)-0.1191000.275800 & Trim. Kurtosis (2/500)-0.4057000.062800 \tabularnewline Trim. Skewness (3/500)-0.1242000.254200 & Trim. Kurtosis (3/500)-0.4399000.044400 \tabularnewline Trim. Skewness (4/500)-0.1297000.238000 & Trim. Kurtosis (4/500)-0.4790000.029200 \tabularnewline Trim. Skewness (5/500)-0.1363000.215000 & Trim. Kurtosis (5/500)-0.5222000.017400 \tabularnewline Trim. Skewness (6/500)-0.1428000.193600 & Trim. Kurtosis (6/500)-0.5675000.009800 \tabularnewline Trim. Skewness (7/500)-0.1465000.183600 & Trim. Kurtosis (7/500)-0.6011000.006600 \tabularnewline Trim. Skewness (8/500)-0.1483000.180200 & Trim. Kurtosis (8/500)-0.6309000.004400 \tabularnewline Trim. Skewness (9/500)-0.1488000.180200 & Trim. Kurtosis (9/500)-0.6584000.003000 \tabularnewline Trim. Skewness (10/500)-0.1494000.177000 & Trim. Kurtosis (10/500)-0.6867000.002000 \tabularnewline Trim. Skewness (11/500)-0.1517000.173800 & Trim. Kurtosis (11/500)-0.7133000.001400 \tabularnewline Trim. Skewness (12/500)-0.1508000.177000 & Trim. Kurtosis (12/500)-0.7359000.001000 \tabularnewline Trim. Skewness (13/500)-0.1448000.193600 & Trim. Kurtosis (13/500)-0.7528000.000800 \tabularnewline Trim. Skewness (14/500)-0.1383000.215000 & Trim. Kurtosis (14/500)-0.7703000.000600 \tabularnewline Trim. Skewness (15/500)-0.1331000.234000 & Trim. Kurtosis (15/500)-0.7852000.000400 \tabularnewline Trim. Skewness (16/500)-0.1274000.258400 & Trim. Kurtosis (16/500)-0.8021000.000400 \tabularnewline Trim. Skewness (17/500)-0.1214000.280200 & Trim. Kurtosis (17/500)-0.8205000.000200 \tabularnewline Trim. Skewness (18/500)-0.1164000.303000 & Trim. Kurtosis (18/500)-0.8370000.000200 \tabularnewline Trim. Skewness (19/500)-0.1131000.317400 & Trim. Kurtosis (19/500)-0.8450000.000200 \tabularnewline Trim. Skewness (20/500)-0.1097000.332000 & Trim. Kurtosis (20/500)-0.8528000.000200 \tabularnewline Trim. Skewness (21/500)-0.1072000.347200 & Trim. Kurtosis (21/500)-0.8585000.000200 \tabularnewline Trim. Skewness (22/500)-0.1048000.357600 & Trim. Kurtosis (22/500)-0.8648000.000200 \tabularnewline Trim. Skewness (23/500)-0.1023000.368200 & Trim. Kurtosis (23/500)-0.8718000.000200 \tabularnewline Trim. Skewness (24/500)-0.1003000.378800 & Trim. Kurtosis (24/500)-0.8779000.000200 \tabularnewline Trim. Skewness (25/500)-0.0980000.389800 & Trim. Kurtosis (25/500)-0.8849000.000200 \tabularnewline Trim. Skewness (26/500)-0.0957000.406600 & Trim. Kurtosis (26/500)-0.8918000.000200 \tabularnewline Trim. Skewness (27/500)-0.0930000.418000 & Trim. Kurtosis (27/500)-0.8984000.000000 \tabularnewline Trim. Skewness (28/500)-0.0901000.435400 & Trim. Kurtosis (28/500)-0.9060000.000000 \tabularnewline Trim. Skewness (29/500)-0.0867000.453200 & Trim. Kurtosis (29/500)-0.9138000.000000 \tabularnewline Trim. Skewness (30/500)-0.0830000.471600 & Trim. Kurtosis (30/500)-0.9228000.000000 \tabularnewline Trim. Skewness (31/500)-0.0792000.496400 & Trim. Kurtosis (31/500)-0.9323000.000000 \tabularnewline Trim. Skewness (32/500)-0.0772000.502800 & Trim. Kurtosis (32/500)-0.9370000.000000 \tabularnewline Trim. Skewness (33/500)-0.0750000.515600 & Trim. Kurtosis (33/500)-0.9426000.000000 \tabularnewline Trim. Skewness (34/500)-0.0725000.535200 & Trim. Kurtosis (34/500)-0.9490000.000000 \tabularnewline Trim. Skewness (35/500)-0.0700000.548400 & Trim. Kurtosis (35/500)-0.9562000.000000 \tabularnewline Trim. Skewness (36/500)-0.0672000.568600 & Trim. Kurtosis (36/500)-0.9629000.000000 \tabularnewline Trim. Skewness (37/500)-0.0649000.582400 & Trim. Kurtosis (37/500)-0.9693000.000000 \tabularnewline Trim. Skewness (38/500)-0.0623000.596200 & Trim. Kurtosis (38/500)-0.9761000.000000 \tabularnewline Trim. Skewness (39/500)-0.0593000.617000 & Trim. Kurtosis (39/500)-0.9830000.000000 \tabularnewline Trim. Skewness (40/500)-0.0564000.631200 & Trim. Kurtosis (40/500)-0.9900000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103732&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]-0.142000[/C]0.190200[/C][C]Trim. Kurtosis (0/500)[/C]-0.164300[/C]0.447200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.108000[/C]0.322200[/C][C]Trim. Kurtosis (1/500)[/C]-0.361900[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.119100[/C]0.275800[/C][C]Trim. Kurtosis (2/500)[/C]-0.405700[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.124200[/C]0.254200[/C][C]Trim. Kurtosis (3/500)[/C]-0.439900[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.129700[/C]0.238000[/C][C]Trim. Kurtosis (4/500)[/C]-0.479000[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.136300[/C]0.215000[/C][C]Trim. Kurtosis (5/500)[/C]-0.522200[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.142800[/C]0.193600[/C][C]Trim. Kurtosis (6/500)[/C]-0.567500[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.146500[/C]0.183600[/C][C]Trim. Kurtosis (7/500)[/C]-0.601100[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.148300[/C]0.180200[/C][C]Trim. Kurtosis (8/500)[/C]-0.630900[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.148800[/C]0.180200[/C][C]Trim. Kurtosis (9/500)[/C]-0.658400[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.149400[/C]0.177000[/C][C]Trim. Kurtosis (10/500)[/C]-0.686700[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.151700[/C]0.173800[/C][C]Trim. Kurtosis (11/500)[/C]-0.713300[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.150800[/C]0.177000[/C][C]Trim. Kurtosis (12/500)[/C]-0.735900[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.144800[/C]0.193600[/C][C]Trim. Kurtosis (13/500)[/C]-0.752800[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.138300[/C]0.215000[/C][C]Trim. Kurtosis (14/500)[/C]-0.770300[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.133100[/C]0.234000[/C][C]Trim. Kurtosis (15/500)[/C]-0.785200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.127400[/C]0.258400[/C][C]Trim. Kurtosis (16/500)[/C]-0.802100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.121400[/C]0.280200[/C][C]Trim. Kurtosis (17/500)[/C]-0.820500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.116400[/C]0.303000[/C][C]Trim. Kurtosis (18/500)[/C]-0.837000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.113100[/C]0.317400[/C][C]Trim. Kurtosis (19/500)[/C]-0.845000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.109700[/C]0.332000[/C][C]Trim. Kurtosis (20/500)[/C]-0.852800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.107200[/C]0.347200[/C][C]Trim. Kurtosis (21/500)[/C]-0.858500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.104800[/C]0.357600[/C][C]Trim. Kurtosis (22/500)[/C]-0.864800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.102300[/C]0.368200[/C][C]Trim. Kurtosis (23/500)[/C]-0.871800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.100300[/C]0.378800[/C][C]Trim. Kurtosis (24/500)[/C]-0.877900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.098000[/C]0.389800[/C][C]Trim. Kurtosis (25/500)[/C]-0.884900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.095700[/C]0.406600[/C][C]Trim. Kurtosis (26/500)[/C]-0.891800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.093000[/C]0.418000[/C][C]Trim. Kurtosis (27/500)[/C]-0.898400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.090100[/C]0.435400[/C][C]Trim. Kurtosis (28/500)[/C]-0.906000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.086700[/C]0.453200[/C][C]Trim. Kurtosis (29/500)[/C]-0.913800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.083000[/C]0.471600[/C][C]Trim. Kurtosis (30/500)[/C]-0.922800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.079200[/C]0.496400[/C][C]Trim. Kurtosis (31/500)[/C]-0.932300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.077200[/C]0.502800[/C][C]Trim. Kurtosis (32/500)[/C]-0.937000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.075000[/C]0.515600[/C][C]Trim. Kurtosis (33/500)[/C]-0.942600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.072500[/C]0.535200[/C][C]Trim. Kurtosis (34/500)[/C]-0.949000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.070000[/C]0.548400[/C][C]Trim. Kurtosis (35/500)[/C]-0.956200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.067200[/C]0.568600[/C][C]Trim. Kurtosis (36/500)[/C]-0.962900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.064900[/C]0.582400[/C][C]Trim. Kurtosis (37/500)[/C]-0.969300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.062300[/C]0.596200[/C][C]Trim. Kurtosis (38/500)[/C]-0.976100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.059300[/C]0.617000[/C][C]Trim. Kurtosis (39/500)[/C]-0.983000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.056400[/C]0.631200[/C][C]Trim. Kurtosis (40/500)[/C]-0.990000[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103732&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103732&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)-0.1420000.190200Trim. Kurtosis (0/500)-0.1643000.447200
Trim. Skewness (1/500)-0.1080000.322200Trim. Kurtosis (1/500)-0.3619000.097000
Trim. Skewness (2/500)-0.1191000.275800Trim. Kurtosis (2/500)-0.4057000.062800
Trim. Skewness (3/500)-0.1242000.254200Trim. Kurtosis (3/500)-0.4399000.044400
Trim. Skewness (4/500)-0.1297000.238000Trim. Kurtosis (4/500)-0.4790000.029200
Trim. Skewness (5/500)-0.1363000.215000Trim. Kurtosis (5/500)-0.5222000.017400
Trim. Skewness (6/500)-0.1428000.193600Trim. Kurtosis (6/500)-0.5675000.009800
Trim. Skewness (7/500)-0.1465000.183600Trim. Kurtosis (7/500)-0.6011000.006600
Trim. Skewness (8/500)-0.1483000.180200Trim. Kurtosis (8/500)-0.6309000.004400
Trim. Skewness (9/500)-0.1488000.180200Trim. Kurtosis (9/500)-0.6584000.003000
Trim. Skewness (10/500)-0.1494000.177000Trim. Kurtosis (10/500)-0.6867000.002000
Trim. Skewness (11/500)-0.1517000.173800Trim. Kurtosis (11/500)-0.7133000.001400
Trim. Skewness (12/500)-0.1508000.177000Trim. Kurtosis (12/500)-0.7359000.001000
Trim. Skewness (13/500)-0.1448000.193600Trim. Kurtosis (13/500)-0.7528000.000800
Trim. Skewness (14/500)-0.1383000.215000Trim. Kurtosis (14/500)-0.7703000.000600
Trim. Skewness (15/500)-0.1331000.234000Trim. Kurtosis (15/500)-0.7852000.000400
Trim. Skewness (16/500)-0.1274000.258400Trim. Kurtosis (16/500)-0.8021000.000400
Trim. Skewness (17/500)-0.1214000.280200Trim. Kurtosis (17/500)-0.8205000.000200
Trim. Skewness (18/500)-0.1164000.303000Trim. Kurtosis (18/500)-0.8370000.000200
Trim. Skewness (19/500)-0.1131000.317400Trim. Kurtosis (19/500)-0.8450000.000200
Trim. Skewness (20/500)-0.1097000.332000Trim. Kurtosis (20/500)-0.8528000.000200
Trim. Skewness (21/500)-0.1072000.347200Trim. Kurtosis (21/500)-0.8585000.000200
Trim. Skewness (22/500)-0.1048000.357600Trim. Kurtosis (22/500)-0.8648000.000200
Trim. Skewness (23/500)-0.1023000.368200Trim. Kurtosis (23/500)-0.8718000.000200
Trim. Skewness (24/500)-0.1003000.378800Trim. Kurtosis (24/500)-0.8779000.000200
Trim. Skewness (25/500)-0.0980000.389800Trim. Kurtosis (25/500)-0.8849000.000200
Trim. Skewness (26/500)-0.0957000.406600Trim. Kurtosis (26/500)-0.8918000.000200
Trim. Skewness (27/500)-0.0930000.418000Trim. Kurtosis (27/500)-0.8984000.000000
Trim. Skewness (28/500)-0.0901000.435400Trim. Kurtosis (28/500)-0.9060000.000000
Trim. Skewness (29/500)-0.0867000.453200Trim. Kurtosis (29/500)-0.9138000.000000
Trim. Skewness (30/500)-0.0830000.471600Trim. Kurtosis (30/500)-0.9228000.000000
Trim. Skewness (31/500)-0.0792000.496400Trim. Kurtosis (31/500)-0.9323000.000000
Trim. Skewness (32/500)-0.0772000.502800Trim. Kurtosis (32/500)-0.9370000.000000
Trim. Skewness (33/500)-0.0750000.515600Trim. Kurtosis (33/500)-0.9426000.000000
Trim. Skewness (34/500)-0.0725000.535200Trim. Kurtosis (34/500)-0.9490000.000000
Trim. Skewness (35/500)-0.0700000.548400Trim. Kurtosis (35/500)-0.9562000.000000
Trim. Skewness (36/500)-0.0672000.568600Trim. Kurtosis (36/500)-0.9629000.000000
Trim. Skewness (37/500)-0.0649000.582400Trim. Kurtosis (37/500)-0.9693000.000000
Trim. Skewness (38/500)-0.0623000.596200Trim. Kurtosis (38/500)-0.9761000.000000
Trim. Skewness (39/500)-0.0593000.617000Trim. Kurtosis (39/500)-0.9830000.000000
Trim. Skewness (40/500)-0.0564000.631200Trim. Kurtosis (40/500)-0.9900000.000000


Figures (Output of Computation)

Input Parameters & R Code

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