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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 computationMon, 29 Nov 2010 17:58:21 +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/29/t1291053392qie3lz0xweh5n12.htm/, Retrieved Mon, 29 Apr 2024 16:06:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102997, Retrieved Mon, 29 Apr 2024 16:06:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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] [] [2010-11-29 17:29:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D  [Skewness and Kurtosis] [] [2010-11-29 17:35:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D    [Skewness and Kurtosis] [] [2010-11-29 17:37:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D      [Skewness and Kurtosis] [] [2010-11-29 17:39:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D        [Skewness and Kurtosis] [] [2010-11-29 17:41:39] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D          [Skewness and Kurtosis] [] [2010-11-29 17:44:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D            [Skewness and Kurtosis] [] [2010-11-29 17:45:30] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D              [Skewness and Kurtosis] [] [2010-11-29 17:46:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                [Skewness and Kurtosis] [] [2010-11-29 17:48:57] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                    [Skewness and Kurtosis] [] [2010-11-29 17:58:21] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    D                      [Skewness and Kurtosis] [] [2010-11-29 18:00:24] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                        [Skewness and Kurtosis] [] [2010-11-29 18:02:07] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                          [Skewness and Kurtosis] [] [2010-11-29 18:03:42] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                            [Skewness and Kurtosis] [] [2010-11-29 18:05:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                              [Skewness and Kurtosis] [] [2010-11-29 18:07:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                [Skewness and Kurtosis] [] [2010-11-29 18:08:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                  [Skewness and Kurtosis] [] [2010-11-29 18:10:34] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                    [Skewness and Kurtosis] [] [2010-11-29 18:11:36] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                      [Skewness and Kurtosis] [] [2010-11-29 18:13:28] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                        [Skewness and Kurtosis] [] [2010-11-29 18:15:22] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                          [Skewness and Kurtosis] [] [2010-11-29 18:21:56] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 18:24:10] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 18:26:31] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 18:28:06] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 18:29:55] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 18:31:43] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:17:23] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:19:08] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:20:37] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                            [Skewness and Kurtosis] [] [2010-11-29 19:23:46] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                              [Skewness and Kurtosis] [] [2010-11-29 19:25:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                [Skewness and Kurtosis] [] [2010-11-29 19:26:45] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                  [Skewness and Kurtosis] [] [2010-11-29 19:28:13] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                    [Skewness and Kurtosis] [] [2010-11-29 19:30:05] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                      [Skewness and Kurtosis] [] [2010-11-29 19:31:18] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                        [Skewness and Kurtosis] [] [2010-11-29 19:32:50] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                          [Skewness and Kurtosis] [] [2010-11-29 19:33:58] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                            [Skewness and Kurtosis] [] [2010-11-29 19:35:47] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    D                                                              [Skewness and Kurtosis] [] [2010-11-29 19:37:35] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1977.59
1915.53
2190.10
1997.30
1802.79
1894.26
1650.89
1605.58
2058.16
1932.95
1774.17
1921.93
1893.05
1817.01
1914.84
1871.91
2063.31
1869.95
1901.62
1882.10
1818.57
2012.02
1725.78
2073.24
1918.87
1672.96
1869.97
1857.18
2137.72
2023.34
1682.15
1924.96
1965.96
1776.86
1678.20
1957.48
1911.55
1973.25
2102.41
1970.58
1724.20
1764.39
2166.92
2050.90
1660.33
1808.99
1979.39
2101.29
1909.63
2257.59
1851.39
1990.78
1757.61
1829.48
1985.44
2052.10
1951.63
1788.22
2020.15
2014.55
2069.71
1994.67
1599.01
1986.65
1730.05
1988.05
2269.65
1945.25
2099.81
1765.91
1877.30
1623.28
2052.58
1897.79
1890.19
1748.40
1929.88
1855.33
1808.70
2133.25
1832.45
2009.13
1860.24
1690.59
1881.43
2036.75
1934.66
1765.39
1958.61
1947.59
1989.70
1842.85
1835.25
1955.04
1855.85
2000.96
1925.53
1941.50
2034.07
1808.16
1930.89
1761.63
1754.47
1900.88
1930.64
1724.39
1855.87
1666.50
1904.69
1838.35
1833.70
1936.96
2160.74
2025.25
1765.35
1751.88
1654.43
1974.64
1804.14
1861.38

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.218115.374461FISHER 4th Cent. Mom.1.02652e+9
FISHER beta 10.007032FISHER beta 22.869570
FISHER gamma 10.083854FISHER gamma 2-0.130430
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.375007FISHER Test 2-0.291650
FISHER Test 1 Probability0.704000FISHER Test 2 Probability0.764200
Pearson 2-0.144482
Yule using Quartile definition:Weighted Average at Xnp-0.100673
Yule using Quartile definition:Weighted Average at X(n+1)p-0.092476
Yule using Quartile definition:Empirical Distribution Function-0.100673
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.094295
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.096124
Yule using Quartile definition:Closest Observation-0.100673
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.096124
Yule using Quartile definition:MS Excel (old versions)-0.090669
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.084919Kurtosis (small sample)-0.084315
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.384462TEST 1 (small sample)-0.192355
TEST 1 Prob. (small sample)0.696600TEST 1 Prob. (small sample)0.841400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.218115.374461 & FISHER 4th Cent. Mom.1.02652e+9 \tabularnewline FISHER beta 10.007032 & FISHER beta 22.869570 \tabularnewline FISHER gamma 10.083854 & FISHER gamma 2-0.130430 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.375007 & FISHER Test 2-0.291650 \tabularnewline FISHER Test 1 Probability0.704000 & FISHER Test 2 Probability0.764200 \tabularnewline Pearson 2-0.144482 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.100673 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.092476 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.100673 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.094295 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.096124 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.100673 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.096124 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.090669 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.084919 & Kurtosis (small sample)-0.084315 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.384462 & TEST 1 (small sample)-0.192355 \tabularnewline TEST 1 Prob. (small sample)0.696600 & TEST 1 Prob. (small sample)0.841400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102997&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]218115.374461[/C][C]FISHER 4th Cent. Mom.[/C]1.02652e+9[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.007032[/C][C]FISHER beta 2[/C]2.869570[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.083854[/C][C]FISHER gamma 2[/C]-0.130430[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.375007[/C][C]FISHER Test 2[/C]-0.291650[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.704000[/C][C]FISHER Test 2 Probability[/C]0.764200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.144482[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.100673[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.092476[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.100673[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.094295[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.096124[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.100673[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.096124[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.090669[/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]0.084919[/C][C]Kurtosis (small sample)[/C]-0.084315[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.384462[/C][C]TEST 1 (small sample)[/C]-0.192355[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.696600[/C][C]TEST 1 Prob. (small sample)[/C]0.841400[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102997&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102997&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.218115.374461FISHER 4th Cent. Mom.1.02652e+9
FISHER beta 10.007032FISHER beta 22.869570
FISHER gamma 10.083854FISHER gamma 2-0.130430
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.375007FISHER Test 2-0.291650
FISHER Test 1 Probability0.704000FISHER Test 2 Probability0.764200
Pearson 2-0.144482
Yule using Quartile definition:Weighted Average at Xnp-0.100673
Yule using Quartile definition:Weighted Average at X(n+1)p-0.092476
Yule using Quartile definition:Empirical Distribution Function-0.100673
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.094295
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.096124
Yule using Quartile definition:Closest Observation-0.100673
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.096124
Yule using Quartile definition:MS Excel (old versions)-0.090669
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.084919Kurtosis (small sample)-0.084315
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.384462TEST 1 (small sample)-0.192355
TEST 1 Prob. (small sample)0.696600TEST 1 Prob. (small sample)0.841400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.0849000.696600Trim. Kurtosis (0/120)-0.0843000.841400
Trim. Skewness (1/120)0.0256000.904400Trim. Kurtosis (1/120)-0.2336000.596200
Trim. Skewness (2/120)-0.0462000.833600Trim. Kurtosis (2/120)-0.4519000.307800
Trim. Skewness (3/120)-0.0671000.764200Trim. Kurtosis (3/120)-0.5299000.238000
Trim. Skewness (4/120)-0.0926000.681800Trim. Kurtosis (4/120)-0.5648000.211200
Trim. Skewness (5/120)-0.1214000.596200Trim. Kurtosis (5/120)-0.6196000.173800
Trim. Skewness (6/120)-0.1367000.555200Trim. Kurtosis (6/120)-0.6582000.152800
Trim. Skewness (7/120)-0.1566000.502800Trim. Kurtosis (7/120)-0.7149000.123600
Trim. Skewness (8/120)-0.1535000.515600Trim. Kurtosis (8/120)-0.7429000.111800
Trim. Skewness (9/120)-0.1528000.522200Trim. Kurtosis (9/120)-0.7889000.095000
Trim. Skewness (10/120)-0.1535000.522200Trim. Kurtosis (10/120)-0.8641000.070200
Trim. Skewness (11/120)-0.1337000.582400Trim. Kurtosis (11/120)-0.9171000.057400
Trim. Skewness (12/120)-0.1424000.562000Trim. Kurtosis (12/120)-0.9183000.058800
Trim. Skewness (13/120)-0.1459000.555200Trim. Kurtosis (13/120)-0.9250000.060200
Trim. Skewness (14/120)-0.1450000.562000Trim. Kurtosis (14/120)-0.9396000.058800
Trim. Skewness (15/120)-0.1416000.575400Trim. Kurtosis (15/120)-0.9574000.056200
Trim. Skewness (16/120)-0.1572000.535200Trim. Kurtosis (16/120)-0.9568000.058800
Trim. Skewness (17/120)-0.1781000.490200Trim. Kurtosis (17/120)-0.9637000.060200
Trim. Skewness (18/120)-0.1871000.471600Trim. Kurtosis (18/120)-0.9565000.064400
Trim. Skewness (19/120)-0.1974000.453200Trim. Kurtosis (19/120)-0.9520000.068800
Trim. Skewness (20/120)-0.2022000.447200Trim. Kurtosis (20/120)-0.9390000.076800
Trim. Skewness (21/120)-0.2077000.441200Trim. Kurtosis (21/120)-0.9293000.083600
Trim. Skewness (22/120)-0.2095000.441200Trim. Kurtosis (22/120)-0.9283000.087200
Trim. Skewness (23/120)-0.2004000.471600Trim. Kurtosis (23/120)-0.9407000.087200
Trim. Skewness (24/120)-0.1819000.515600Trim. Kurtosis (24/120)-0.9800000.078400
Trim. Skewness (25/120)-0.1682000.555200Trim. Kurtosis (25/120)-1.0155000.071800
Trim. Skewness (26/120)-0.1380000.631200Trim. Kurtosis (26/120)-1.0647000.062800
Trim. Skewness (27/120)-0.1180000.681800Trim. Kurtosis (27/120)-1.0881000.061400
Trim. Skewness (28/120)-0.1184000.689200Trim. Kurtosis (28/120)-1.0727000.068800
Trim. Skewness (29/120)-0.1126000.704000Trim. Kurtosis (29/120)-1.0587000.076800
Trim. Skewness (30/120)-0.1106000.718800Trim. Kurtosis (30/120)-1.0429000.085400
Trim. Skewness (31/120)-0.1032000.741400Trim. Kurtosis (31/120)-1.0404000.091000
Trim. Skewness (32/120)-0.0875000.779400Trim. Kurtosis (32/120)-1.0655000.089200
Trim. Skewness (33/120)-0.0879000.779400Trim. Kurtosis (33/120)-1.0813000.089200
Trim. Skewness (34/120)-0.0715000.825800Trim. Kurtosis (34/120)-1.1061000.087200
Trim. Skewness (35/120)-0.0819000.802600Trim. Kurtosis (35/120)-1.0973000.097000
Trim. Skewness (36/120)-0.0945000.779400Trim. Kurtosis (36/120)-1.0871000.105200
Trim. Skewness (37/120)-0.1104000.749000Trim. Kurtosis (37/120)-1.0981000.109600
Trim. Skewness (38/120)-0.1253000.718800Trim. Kurtosis (38/120)-1.1364000.105200
Trim. Skewness (39/120)-0.1345000.711400Trim. Kurtosis (39/120)-1.1859000.097000
Trim. Skewness (40/120)-0.1278000.726400Trim. Kurtosis (40/120)-1.2082000.099000

\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 (0/120)0.0849000.696600 & Trim. Kurtosis (0/120)-0.0843000.841400 \tabularnewline Trim. Skewness (1/120)0.0256000.904400 & Trim. Kurtosis (1/120)-0.2336000.596200 \tabularnewline Trim. Skewness (2/120)-0.0462000.833600 & Trim. Kurtosis (2/120)-0.4519000.307800 \tabularnewline Trim. Skewness (3/120)-0.0671000.764200 & Trim. Kurtosis (3/120)-0.5299000.238000 \tabularnewline Trim. Skewness (4/120)-0.0926000.681800 & Trim. Kurtosis (4/120)-0.5648000.211200 \tabularnewline Trim. Skewness (5/120)-0.1214000.596200 & Trim. Kurtosis (5/120)-0.6196000.173800 \tabularnewline Trim. Skewness (6/120)-0.1367000.555200 & Trim. Kurtosis (6/120)-0.6582000.152800 \tabularnewline Trim. Skewness (7/120)-0.1566000.502800 & Trim. Kurtosis (7/120)-0.7149000.123600 \tabularnewline Trim. Skewness (8/120)-0.1535000.515600 & Trim. Kurtosis (8/120)-0.7429000.111800 \tabularnewline Trim. Skewness (9/120)-0.1528000.522200 & Trim. Kurtosis (9/120)-0.7889000.095000 \tabularnewline Trim. Skewness (10/120)-0.1535000.522200 & Trim. Kurtosis (10/120)-0.8641000.070200 \tabularnewline Trim. Skewness (11/120)-0.1337000.582400 & Trim. Kurtosis (11/120)-0.9171000.057400 \tabularnewline Trim. Skewness (12/120)-0.1424000.562000 & Trim. Kurtosis (12/120)-0.9183000.058800 \tabularnewline Trim. Skewness (13/120)-0.1459000.555200 & Trim. Kurtosis (13/120)-0.9250000.060200 \tabularnewline Trim. Skewness (14/120)-0.1450000.562000 & Trim. Kurtosis (14/120)-0.9396000.058800 \tabularnewline Trim. Skewness (15/120)-0.1416000.575400 & Trim. Kurtosis (15/120)-0.9574000.056200 \tabularnewline Trim. Skewness (16/120)-0.1572000.535200 & Trim. Kurtosis (16/120)-0.9568000.058800 \tabularnewline Trim. Skewness (17/120)-0.1781000.490200 & Trim. Kurtosis (17/120)-0.9637000.060200 \tabularnewline Trim. Skewness (18/120)-0.1871000.471600 & Trim. Kurtosis (18/120)-0.9565000.064400 \tabularnewline Trim. Skewness (19/120)-0.1974000.453200 & Trim. Kurtosis (19/120)-0.9520000.068800 \tabularnewline Trim. Skewness (20/120)-0.2022000.447200 & Trim. Kurtosis (20/120)-0.9390000.076800 \tabularnewline Trim. Skewness (21/120)-0.2077000.441200 & Trim. Kurtosis (21/120)-0.9293000.083600 \tabularnewline Trim. Skewness (22/120)-0.2095000.441200 & Trim. Kurtosis (22/120)-0.9283000.087200 \tabularnewline Trim. Skewness (23/120)-0.2004000.471600 & Trim. Kurtosis (23/120)-0.9407000.087200 \tabularnewline Trim. Skewness (24/120)-0.1819000.515600 & Trim. Kurtosis (24/120)-0.9800000.078400 \tabularnewline Trim. Skewness (25/120)-0.1682000.555200 & Trim. Kurtosis (25/120)-1.0155000.071800 \tabularnewline Trim. Skewness (26/120)-0.1380000.631200 & Trim. Kurtosis (26/120)-1.0647000.062800 \tabularnewline Trim. Skewness (27/120)-0.1180000.681800 & Trim. Kurtosis (27/120)-1.0881000.061400 \tabularnewline Trim. Skewness (28/120)-0.1184000.689200 & Trim. Kurtosis (28/120)-1.0727000.068800 \tabularnewline Trim. Skewness (29/120)-0.1126000.704000 & Trim. Kurtosis (29/120)-1.0587000.076800 \tabularnewline Trim. Skewness (30/120)-0.1106000.718800 & Trim. Kurtosis (30/120)-1.0429000.085400 \tabularnewline Trim. Skewness (31/120)-0.1032000.741400 & Trim. Kurtosis (31/120)-1.0404000.091000 \tabularnewline Trim. Skewness (32/120)-0.0875000.779400 & Trim. Kurtosis (32/120)-1.0655000.089200 \tabularnewline Trim. Skewness (33/120)-0.0879000.779400 & Trim. Kurtosis (33/120)-1.0813000.089200 \tabularnewline Trim. Skewness (34/120)-0.0715000.825800 & Trim. Kurtosis (34/120)-1.1061000.087200 \tabularnewline Trim. Skewness (35/120)-0.0819000.802600 & Trim. Kurtosis (35/120)-1.0973000.097000 \tabularnewline Trim. Skewness (36/120)-0.0945000.779400 & Trim. Kurtosis (36/120)-1.0871000.105200 \tabularnewline Trim. Skewness (37/120)-0.1104000.749000 & Trim. Kurtosis (37/120)-1.0981000.109600 \tabularnewline Trim. Skewness (38/120)-0.1253000.718800 & Trim. Kurtosis (38/120)-1.1364000.105200 \tabularnewline Trim. Skewness (39/120)-0.1345000.711400 & Trim. Kurtosis (39/120)-1.1859000.097000 \tabularnewline Trim. Skewness (40/120)-0.1278000.726400 & Trim. Kurtosis (40/120)-1.2082000.099000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102997&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 (0/120)[/C]0.084900[/C]0.696600[/C][C]Trim. Kurtosis (0/120)[/C]-0.084300[/C]0.841400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.025600[/C]0.904400[/C][C]Trim. Kurtosis (1/120)[/C]-0.233600[/C]0.596200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.046200[/C]0.833600[/C][C]Trim. Kurtosis (2/120)[/C]-0.451900[/C]0.307800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.067100[/C]0.764200[/C][C]Trim. Kurtosis (3/120)[/C]-0.529900[/C]0.238000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.092600[/C]0.681800[/C][C]Trim. Kurtosis (4/120)[/C]-0.564800[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.121400[/C]0.596200[/C][C]Trim. Kurtosis (5/120)[/C]-0.619600[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.136700[/C]0.555200[/C][C]Trim. Kurtosis (6/120)[/C]-0.658200[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.156600[/C]0.502800[/C][C]Trim. Kurtosis (7/120)[/C]-0.714900[/C]0.123600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.153500[/C]0.515600[/C][C]Trim. Kurtosis (8/120)[/C]-0.742900[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.152800[/C]0.522200[/C][C]Trim. Kurtosis (9/120)[/C]-0.788900[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.153500[/C]0.522200[/C][C]Trim. Kurtosis (10/120)[/C]-0.864100[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.133700[/C]0.582400[/C][C]Trim. Kurtosis (11/120)[/C]-0.917100[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.142400[/C]0.562000[/C][C]Trim. Kurtosis (12/120)[/C]-0.918300[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.145900[/C]0.555200[/C][C]Trim. Kurtosis (13/120)[/C]-0.925000[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.145000[/C]0.562000[/C][C]Trim. Kurtosis (14/120)[/C]-0.939600[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.141600[/C]0.575400[/C][C]Trim. Kurtosis (15/120)[/C]-0.957400[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.157200[/C]0.535200[/C][C]Trim. Kurtosis (16/120)[/C]-0.956800[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.178100[/C]0.490200[/C][C]Trim. Kurtosis (17/120)[/C]-0.963700[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.187100[/C]0.471600[/C][C]Trim. Kurtosis (18/120)[/C]-0.956500[/C]0.064400[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.197400[/C]0.453200[/C][C]Trim. Kurtosis (19/120)[/C]-0.952000[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.202200[/C]0.447200[/C][C]Trim. Kurtosis (20/120)[/C]-0.939000[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.207700[/C]0.441200[/C][C]Trim. Kurtosis (21/120)[/C]-0.929300[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.209500[/C]0.441200[/C][C]Trim. Kurtosis (22/120)[/C]-0.928300[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.200400[/C]0.471600[/C][C]Trim. Kurtosis (23/120)[/C]-0.940700[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.181900[/C]0.515600[/C][C]Trim. Kurtosis (24/120)[/C]-0.980000[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.168200[/C]0.555200[/C][C]Trim. Kurtosis (25/120)[/C]-1.015500[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.138000[/C]0.631200[/C][C]Trim. Kurtosis (26/120)[/C]-1.064700[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.118000[/C]0.681800[/C][C]Trim. Kurtosis (27/120)[/C]-1.088100[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.118400[/C]0.689200[/C][C]Trim. Kurtosis (28/120)[/C]-1.072700[/C]0.068800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.112600[/C]0.704000[/C][C]Trim. Kurtosis (29/120)[/C]-1.058700[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.110600[/C]0.718800[/C][C]Trim. Kurtosis (30/120)[/C]-1.042900[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.103200[/C]0.741400[/C][C]Trim. Kurtosis (31/120)[/C]-1.040400[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.087500[/C]0.779400[/C][C]Trim. Kurtosis (32/120)[/C]-1.065500[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.087900[/C]0.779400[/C][C]Trim. Kurtosis (33/120)[/C]-1.081300[/C]0.089200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.071500[/C]0.825800[/C][C]Trim. Kurtosis (34/120)[/C]-1.106100[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.081900[/C]0.802600[/C][C]Trim. Kurtosis (35/120)[/C]-1.097300[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.094500[/C]0.779400[/C][C]Trim. Kurtosis (36/120)[/C]-1.087100[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.110400[/C]0.749000[/C][C]Trim. Kurtosis (37/120)[/C]-1.098100[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]-0.125300[/C]0.718800[/C][C]Trim. Kurtosis (38/120)[/C]-1.136400[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]-0.134500[/C]0.711400[/C][C]Trim. Kurtosis (39/120)[/C]-1.185900[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]-0.127800[/C]0.726400[/C][C]Trim. Kurtosis (40/120)[/C]-1.208200[/C]0.099000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102997&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102997&T=1

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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 (0/120)0.0849000.696600Trim. Kurtosis (0/120)-0.0843000.841400
Trim. Skewness (1/120)0.0256000.904400Trim. Kurtosis (1/120)-0.2336000.596200
Trim. Skewness (2/120)-0.0462000.833600Trim. Kurtosis (2/120)-0.4519000.307800
Trim. Skewness (3/120)-0.0671000.764200Trim. Kurtosis (3/120)-0.5299000.238000
Trim. Skewness (4/120)-0.0926000.681800Trim. Kurtosis (4/120)-0.5648000.211200
Trim. Skewness (5/120)-0.1214000.596200Trim. Kurtosis (5/120)-0.6196000.173800
Trim. Skewness (6/120)-0.1367000.555200Trim. Kurtosis (6/120)-0.6582000.152800
Trim. Skewness (7/120)-0.1566000.502800Trim. Kurtosis (7/120)-0.7149000.123600
Trim. Skewness (8/120)-0.1535000.515600Trim. Kurtosis (8/120)-0.7429000.111800
Trim. Skewness (9/120)-0.1528000.522200Trim. Kurtosis (9/120)-0.7889000.095000
Trim. Skewness (10/120)-0.1535000.522200Trim. Kurtosis (10/120)-0.8641000.070200
Trim. Skewness (11/120)-0.1337000.582400Trim. Kurtosis (11/120)-0.9171000.057400
Trim. Skewness (12/120)-0.1424000.562000Trim. Kurtosis (12/120)-0.9183000.058800
Trim. Skewness (13/120)-0.1459000.555200Trim. Kurtosis (13/120)-0.9250000.060200
Trim. Skewness (14/120)-0.1450000.562000Trim. Kurtosis (14/120)-0.9396000.058800
Trim. Skewness (15/120)-0.1416000.575400Trim. Kurtosis (15/120)-0.9574000.056200
Trim. Skewness (16/120)-0.1572000.535200Trim. Kurtosis (16/120)-0.9568000.058800
Trim. Skewness (17/120)-0.1781000.490200Trim. Kurtosis (17/120)-0.9637000.060200
Trim. Skewness (18/120)-0.1871000.471600Trim. Kurtosis (18/120)-0.9565000.064400
Trim. Skewness (19/120)-0.1974000.453200Trim. Kurtosis (19/120)-0.9520000.068800
Trim. Skewness (20/120)-0.2022000.447200Trim. Kurtosis (20/120)-0.9390000.076800
Trim. Skewness (21/120)-0.2077000.441200Trim. Kurtosis (21/120)-0.9293000.083600
Trim. Skewness (22/120)-0.2095000.441200Trim. Kurtosis (22/120)-0.9283000.087200
Trim. Skewness (23/120)-0.2004000.471600Trim. Kurtosis (23/120)-0.9407000.087200
Trim. Skewness (24/120)-0.1819000.515600Trim. Kurtosis (24/120)-0.9800000.078400
Trim. Skewness (25/120)-0.1682000.555200Trim. Kurtosis (25/120)-1.0155000.071800
Trim. Skewness (26/120)-0.1380000.631200Trim. Kurtosis (26/120)-1.0647000.062800
Trim. Skewness (27/120)-0.1180000.681800Trim. Kurtosis (27/120)-1.0881000.061400
Trim. Skewness (28/120)-0.1184000.689200Trim. Kurtosis (28/120)-1.0727000.068800
Trim. Skewness (29/120)-0.1126000.704000Trim. Kurtosis (29/120)-1.0587000.076800
Trim. Skewness (30/120)-0.1106000.718800Trim. Kurtosis (30/120)-1.0429000.085400
Trim. Skewness (31/120)-0.1032000.741400Trim. Kurtosis (31/120)-1.0404000.091000
Trim. Skewness (32/120)-0.0875000.779400Trim. Kurtosis (32/120)-1.0655000.089200
Trim. Skewness (33/120)-0.0879000.779400Trim. Kurtosis (33/120)-1.0813000.089200
Trim. Skewness (34/120)-0.0715000.825800Trim. Kurtosis (34/120)-1.1061000.087200
Trim. Skewness (35/120)-0.0819000.802600Trim. Kurtosis (35/120)-1.0973000.097000
Trim. Skewness (36/120)-0.0945000.779400Trim. Kurtosis (36/120)-1.0871000.105200
Trim. Skewness (37/120)-0.1104000.749000Trim. Kurtosis (37/120)-1.0981000.109600
Trim. Skewness (38/120)-0.1253000.718800Trim. Kurtosis (38/120)-1.1364000.105200
Trim. Skewness (39/120)-0.1345000.711400Trim. Kurtosis (39/120)-1.1859000.097000
Trim. Skewness (40/120)-0.1278000.726400Trim. Kurtosis (40/120)-1.2082000.099000


Figures (Output of Computation)

Input Parameters & R Code

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