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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 17:29:37 +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/t1291051656l03rjyq9vrqyjtr.htm/, Retrieved Mon, 29 Apr 2024 12:38:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102966, Retrieved Mon, 29 Apr 2024 12:38:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact112

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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] [7d64bf19f34ddcdf2626356c9d5bd60d]
-    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]
-    D    [Skewness and Kurtosis] [] [2010-11-29 21:20:10] [7d64bf19f34ddcdf2626356c9d5bd60d]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1980.77
2004.32
1997.28
1997.91
1976.57
1973.95
1970.54
1963.02
1890.27
1856.11
1851.65
1839.94
1802.74
1794.97
1805.38
1834.19
1884.03
1870.39
1925.48
1893.94
1900.09
1858.77
1883.81
1906.49
1907.22
1916.88
1927.25
1884.26
1884.02
1843
1832.24
1823.78
1783.23
1756.19
1783.2
1740.36
1725.58
1697.6
1681.13
1688.15
1696.58
1610.56
1566.27
1584.19
1552.18
1527.27
1553.05
1616.51
1647.25
1671.04
1661.76
1707.74
1700.97
1698.43
1689.64
1708.66
1754.02
1749.29
1756.96
1783.16
1751.56
1700.44
1748.74
1772.84
1831.13
1808.37
1800.15
1765.51
1770.66
1807.14
1822.32
1848.33
1873.87
1923.46
1856.69
1884.15
1903.89
1905.37
1955.82
1934.02
1920.82
1950.98
1953.35
1993.47
1969.62
2024.9
2073.54
2126.23
2085.68
2049.45
2016.37
1978.37
2005.33
2049.67
2078.75
2107.98
2056.37
2064.64
2074.97
2065.59
2084.52
2063.65
2071.37
2091.61
2084.9
2066.54
2063.02
2071.39
2046.17
2056.61
2064.32
2059.75
2070.19
2008.98
1995.59
1964.64
1980.83
1997.71
1948.42
1966.43

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.19212e+6FISHER 4th Cent. Mom.1.05629e+9
FISHER beta 10.143395FISHER beta 22.289342
FISHER gamma 1-0.378676FISHER gamma 2-0.710658
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.693489FISHER Test 2-1.589079
FISHER Test 1 Probability0.089200FISHER Test 2 Probability0.111800
Pearson 2-0.206079
Yule using Quartile definition:Weighted Average at Xnp-0.069764
Yule using Quartile definition:Weighted Average at X(n+1)p-0.066820
Yule using Quartile definition:Empirical Distribution Function-0.069764
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064806
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.062781
Yule using Quartile definition:Closest Observation-0.069764
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.062781
Yule using Quartile definition:MS Excel (old versions)-0.068823
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.383486Kurtosis (small sample)-0.689466
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.736185TEST 1 (small sample)-1.572936
TEST 1 Prob. (small sample)0.081800TEST 1 Prob. (small sample)0.114200
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.19212e+6 & FISHER 4th Cent. Mom.1.05629e+9 \tabularnewline FISHER beta 10.143395 & FISHER beta 22.289342 \tabularnewline FISHER gamma 1-0.378676 & FISHER gamma 2-0.710658 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.693489 & FISHER Test 2-1.589079 \tabularnewline FISHER Test 1 Probability0.089200 & FISHER Test 2 Probability0.111800 \tabularnewline Pearson 2-0.206079 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.069764 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.066820 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.069764 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064806 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.062781 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.069764 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.062781 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.068823 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.383486 & Kurtosis (small sample)-0.689466 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.736185 & TEST 1 (small sample)-1.572936 \tabularnewline TEST 1 Prob. (small sample)0.081800 & TEST 1 Prob. (small sample)0.114200 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102966&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]-1.19212e+6[/C][C]FISHER 4th Cent. Mom.[/C]1.05629e+9[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.143395[/C][C]FISHER beta 2[/C]2.289342[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.378676[/C][C]FISHER gamma 2[/C]-0.710658[/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]-1.693489[/C][C]FISHER Test 2[/C]-1.589079[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.089200[/C][C]FISHER Test 2 Probability[/C]0.111800[/C][/ROW] [ROW][C]Pearson 2[/C]-0.206079[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.069764[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.066820[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.069764[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.064806[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.062781[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.069764[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.062781[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.068823[/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]-0.383486[/C][C]Kurtosis (small sample)[/C]-0.689466[/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]-1.736185[/C][C]TEST 1 (small sample)[/C]-1.572936[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.081800[/C][C]TEST 1 Prob. (small sample)[/C]0.114200[/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=102966&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102966&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.-1.19212e+6FISHER 4th Cent. Mom.1.05629e+9
FISHER beta 10.143395FISHER beta 22.289342
FISHER gamma 1-0.378676FISHER gamma 2-0.710658
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.693489FISHER Test 2-1.589079
FISHER Test 1 Probability0.089200FISHER Test 2 Probability0.111800
Pearson 2-0.206079
Yule using Quartile definition:Weighted Average at Xnp-0.069764
Yule using Quartile definition:Weighted Average at X(n+1)p-0.066820
Yule using Quartile definition:Empirical Distribution Function-0.069764
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.064806
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.062781
Yule using Quartile definition:Closest Observation-0.069764
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.062781
Yule using Quartile definition:MS Excel (old versions)-0.068823
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.383486Kurtosis (small sample)-0.689466
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.736185TEST 1 (small sample)-1.572936
TEST 1 Prob. (small sample)0.081800TEST 1 Prob. (small sample)0.114200
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.3835000.081800Trim. Kurtosis (0/120)-0.6895000.114200
Trim. Skewness (1/120)-0.3560000.109600Trim. Kurtosis (1/120)-0.7582000.085400
Trim. Skewness (2/120)-0.3306000.138800Trim. Kurtosis (2/120)-0.8027000.070200
Trim. Skewness (3/120)-0.2906000.197000Trim. Kurtosis (3/120)-0.8728000.051200
Trim. Skewness (4/120)-0.2482000.275800Trim. Kurtosis (4/120)-0.9462000.036600
Trim. Skewness (5/120)-0.2095000.362800Trim. Kurtosis (5/120)-1.0112000.026400
Trim. Skewness (6/120)-0.1828000.429600Trim. Kurtosis (6/120)-1.0480000.022600
Trim. Skewness (7/120)-0.1512000.515600Trim. Kurtosis (7/120)-1.0931000.018800
Trim. Skewness (8/120)-0.1345000.568600Trim. Kurtosis (8/120)-1.1024000.018800
Trim. Skewness (9/120)-0.1230000.603000Trim. Kurtosis (9/120)-1.1016000.019800
Trim. Skewness (10/120)-0.1135000.631200Trim. Kurtosis (10/120)-1.0960000.021400
Trim. Skewness (11/120)-0.1081000.652800Trim. Kurtosis (11/120)-1.0851000.024400
Trim. Skewness (12/120)-0.1048000.667200Trim. Kurtosis (12/120)-1.0712000.027800
Trim. Skewness (13/120)-0.0992000.689200Trim. Kurtosis (13/120)-1.0583000.031600
Trim. Skewness (14/120)-0.0962000.696600Trim. Kurtosis (14/120)-1.0423000.035800
Trim. Skewness (15/120)-0.0919000.711400Trim. Kurtosis (15/120)-1.0297000.040400
Trim. Skewness (16/120)-0.0864000.733800Trim. Kurtosis (16/120)-1.0233000.043400
Trim. Skewness (17/120)-0.0801000.756600Trim. Kurtosis (17/120)-1.0239000.045600
Trim. Skewness (18/120)-0.0712000.779400Trim. Kurtosis (18/120)-1.0386000.045600
Trim. Skewness (19/120)-0.0635000.810400Trim. Kurtosis (19/120)-1.0560000.044400
Trim. Skewness (20/120)-0.0504000.849200Trim. Kurtosis (20/120)-1.0919000.039400
Trim. Skewness (21/120)-0.0546000.833600Trim. Kurtosis (21/120)-1.1175000.037600
Trim. Skewness (22/120)-0.0682000.802600Trim. Kurtosis (22/120)-1.1266000.038400
Trim. Skewness (23/120)-0.0942000.733800Trim. Kurtosis (23/120)-1.1422000.037600
Trim. Skewness (24/120)-0.1233000.660000Trim. Kurtosis (24/120)-1.1723000.035800
Trim. Skewness (25/120)-0.1305000.645600Trim. Kurtosis (25/120)-1.1738000.037600
Trim. Skewness (26/120)-0.1304000.652800Trim. Kurtosis (26/120)-1.1717000.040400
Trim. Skewness (27/120)-0.1227000.674400Trim. Kurtosis (27/120)-1.1689000.044400
Trim. Skewness (28/120)-0.1073000.718800Trim. Kurtosis (28/120)-1.1762000.045600
Trim. Skewness (29/120)-0.0990000.741400Trim. Kurtosis (29/120)-1.1753000.048800
Trim. Skewness (30/120)-0.0867000.771800Trim. Kurtosis (30/120)-1.1668000.054800
Trim. Skewness (31/120)-0.0725000.810400Trim. Kurtosis (31/120)-1.1679000.058800
Trim. Skewness (32/120)-0.0724000.818000Trim. Kurtosis (32/120)-1.1545000.065800
Trim. Skewness (33/120)-0.0675000.833600Trim. Kurtosis (33/120)-1.1559000.070200
Trim. Skewness (34/120)-0.0540000.865000Trim. Kurtosis (34/120)-1.1843000.067200
Trim. Skewness (35/120)-0.0382000.904400Trim. Kurtosis (35/120)-1.1631000.078400
Trim. Skewness (36/120)-0.0285000.928200Trim. Kurtosis (36/120)-1.1363000.091000
Trim. Skewness (37/120)-0.0153000.960200Trim. Kurtosis (37/120)-1.1088000.105200
Trim. Skewness (38/120)0.0012000.992000Trim. Kurtosis (38/120)-1.0839000.121200
Trim. Skewness (39/120)0.0286000.936200Trim. Kurtosis (39/120)-1.0695000.133600
Trim. Skewness (40/120)0.0788000.825800Trim. Kurtosis (40/120)-1.0812000.138800

\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)-0.3835000.081800 & Trim. Kurtosis (0/120)-0.6895000.114200 \tabularnewline Trim. Skewness (1/120)-0.3560000.109600 & Trim. Kurtosis (1/120)-0.7582000.085400 \tabularnewline Trim. Skewness (2/120)-0.3306000.138800 & Trim. Kurtosis (2/120)-0.8027000.070200 \tabularnewline Trim. Skewness (3/120)-0.2906000.197000 & Trim. Kurtosis (3/120)-0.8728000.051200 \tabularnewline Trim. Skewness (4/120)-0.2482000.275800 & Trim. Kurtosis (4/120)-0.9462000.036600 \tabularnewline Trim. Skewness (5/120)-0.2095000.362800 & Trim. Kurtosis (5/120)-1.0112000.026400 \tabularnewline Trim. Skewness (6/120)-0.1828000.429600 & Trim. Kurtosis (6/120)-1.0480000.022600 \tabularnewline Trim. Skewness (7/120)-0.1512000.515600 & Trim. Kurtosis (7/120)-1.0931000.018800 \tabularnewline Trim. Skewness (8/120)-0.1345000.568600 & Trim. Kurtosis (8/120)-1.1024000.018800 \tabularnewline Trim. Skewness (9/120)-0.1230000.603000 & Trim. Kurtosis (9/120)-1.1016000.019800 \tabularnewline Trim. Skewness (10/120)-0.1135000.631200 & Trim. Kurtosis (10/120)-1.0960000.021400 \tabularnewline Trim. Skewness (11/120)-0.1081000.652800 & Trim. Kurtosis (11/120)-1.0851000.024400 \tabularnewline Trim. Skewness (12/120)-0.1048000.667200 & Trim. Kurtosis (12/120)-1.0712000.027800 \tabularnewline Trim. Skewness (13/120)-0.0992000.689200 & Trim. Kurtosis (13/120)-1.0583000.031600 \tabularnewline Trim. Skewness (14/120)-0.0962000.696600 & Trim. Kurtosis (14/120)-1.0423000.035800 \tabularnewline Trim. Skewness (15/120)-0.0919000.711400 & Trim. Kurtosis (15/120)-1.0297000.040400 \tabularnewline Trim. Skewness (16/120)-0.0864000.733800 & Trim. Kurtosis (16/120)-1.0233000.043400 \tabularnewline Trim. Skewness (17/120)-0.0801000.756600 & Trim. Kurtosis (17/120)-1.0239000.045600 \tabularnewline Trim. Skewness (18/120)-0.0712000.779400 & Trim. Kurtosis (18/120)-1.0386000.045600 \tabularnewline Trim. Skewness (19/120)-0.0635000.810400 & Trim. Kurtosis (19/120)-1.0560000.044400 \tabularnewline Trim. Skewness (20/120)-0.0504000.849200 & Trim. Kurtosis (20/120)-1.0919000.039400 \tabularnewline Trim. Skewness (21/120)-0.0546000.833600 & Trim. Kurtosis (21/120)-1.1175000.037600 \tabularnewline Trim. Skewness (22/120)-0.0682000.802600 & Trim. Kurtosis (22/120)-1.1266000.038400 \tabularnewline Trim. Skewness (23/120)-0.0942000.733800 & Trim. Kurtosis (23/120)-1.1422000.037600 \tabularnewline Trim. Skewness (24/120)-0.1233000.660000 & Trim. Kurtosis (24/120)-1.1723000.035800 \tabularnewline Trim. Skewness (25/120)-0.1305000.645600 & Trim. Kurtosis (25/120)-1.1738000.037600 \tabularnewline Trim. Skewness (26/120)-0.1304000.652800 & Trim. Kurtosis (26/120)-1.1717000.040400 \tabularnewline Trim. Skewness (27/120)-0.1227000.674400 & Trim. Kurtosis (27/120)-1.1689000.044400 \tabularnewline Trim. Skewness (28/120)-0.1073000.718800 & Trim. Kurtosis (28/120)-1.1762000.045600 \tabularnewline Trim. Skewness (29/120)-0.0990000.741400 & Trim. Kurtosis (29/120)-1.1753000.048800 \tabularnewline Trim. Skewness (30/120)-0.0867000.771800 & Trim. Kurtosis (30/120)-1.1668000.054800 \tabularnewline Trim. Skewness (31/120)-0.0725000.810400 & Trim. Kurtosis (31/120)-1.1679000.058800 \tabularnewline Trim. Skewness (32/120)-0.0724000.818000 & Trim. Kurtosis (32/120)-1.1545000.065800 \tabularnewline Trim. Skewness (33/120)-0.0675000.833600 & Trim. Kurtosis (33/120)-1.1559000.070200 \tabularnewline Trim. Skewness (34/120)-0.0540000.865000 & Trim. Kurtosis (34/120)-1.1843000.067200 \tabularnewline Trim. Skewness (35/120)-0.0382000.904400 & Trim. Kurtosis (35/120)-1.1631000.078400 \tabularnewline Trim. Skewness (36/120)-0.0285000.928200 & Trim. Kurtosis (36/120)-1.1363000.091000 \tabularnewline Trim. Skewness (37/120)-0.0153000.960200 & Trim. Kurtosis (37/120)-1.1088000.105200 \tabularnewline Trim. Skewness (38/120)0.0012000.992000 & Trim. Kurtosis (38/120)-1.0839000.121200 \tabularnewline Trim. Skewness (39/120)0.0286000.936200 & Trim. Kurtosis (39/120)-1.0695000.133600 \tabularnewline Trim. Skewness (40/120)0.0788000.825800 & Trim. Kurtosis (40/120)-1.0812000.138800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102966&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]-0.383500[/C]0.081800[/C][C]Trim. Kurtosis (0/120)[/C]-0.689500[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.356000[/C]0.109600[/C][C]Trim. Kurtosis (1/120)[/C]-0.758200[/C]0.085400[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.330600[/C]0.138800[/C][C]Trim. Kurtosis (2/120)[/C]-0.802700[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.290600[/C]0.197000[/C][C]Trim. Kurtosis (3/120)[/C]-0.872800[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.248200[/C]0.275800[/C][C]Trim. Kurtosis (4/120)[/C]-0.946200[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.209500[/C]0.362800[/C][C]Trim. Kurtosis (5/120)[/C]-1.011200[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.182800[/C]0.429600[/C][C]Trim. Kurtosis (6/120)[/C]-1.048000[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.151200[/C]0.515600[/C][C]Trim. Kurtosis (7/120)[/C]-1.093100[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.134500[/C]0.568600[/C][C]Trim. Kurtosis (8/120)[/C]-1.102400[/C]0.018800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.123000[/C]0.603000[/C][C]Trim. Kurtosis (9/120)[/C]-1.101600[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.113500[/C]0.631200[/C][C]Trim. Kurtosis (10/120)[/C]-1.096000[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.108100[/C]0.652800[/C][C]Trim. Kurtosis (11/120)[/C]-1.085100[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.104800[/C]0.667200[/C][C]Trim. Kurtosis (12/120)[/C]-1.071200[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.099200[/C]0.689200[/C][C]Trim. Kurtosis (13/120)[/C]-1.058300[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.096200[/C]0.696600[/C][C]Trim. Kurtosis (14/120)[/C]-1.042300[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.091900[/C]0.711400[/C][C]Trim. Kurtosis (15/120)[/C]-1.029700[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.086400[/C]0.733800[/C][C]Trim. Kurtosis (16/120)[/C]-1.023300[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.080100[/C]0.756600[/C][C]Trim. Kurtosis (17/120)[/C]-1.023900[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.071200[/C]0.779400[/C][C]Trim. Kurtosis (18/120)[/C]-1.038600[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.063500[/C]0.810400[/C][C]Trim. Kurtosis (19/120)[/C]-1.056000[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.050400[/C]0.849200[/C][C]Trim. Kurtosis (20/120)[/C]-1.091900[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.054600[/C]0.833600[/C][C]Trim. Kurtosis (21/120)[/C]-1.117500[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.068200[/C]0.802600[/C][C]Trim. Kurtosis (22/120)[/C]-1.126600[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.094200[/C]0.733800[/C][C]Trim. Kurtosis (23/120)[/C]-1.142200[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.123300[/C]0.660000[/C][C]Trim. Kurtosis (24/120)[/C]-1.172300[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.130500[/C]0.645600[/C][C]Trim. Kurtosis (25/120)[/C]-1.173800[/C]0.037600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.130400[/C]0.652800[/C][C]Trim. Kurtosis (26/120)[/C]-1.171700[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]-0.122700[/C]0.674400[/C][C]Trim. Kurtosis (27/120)[/C]-1.168900[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]-0.107300[/C]0.718800[/C][C]Trim. Kurtosis (28/120)[/C]-1.176200[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]-0.099000[/C]0.741400[/C][C]Trim. Kurtosis (29/120)[/C]-1.175300[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]-0.086700[/C]0.771800[/C][C]Trim. Kurtosis (30/120)[/C]-1.166800[/C]0.054800[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]-0.072500[/C]0.810400[/C][C]Trim. Kurtosis (31/120)[/C]-1.167900[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]-0.072400[/C]0.818000[/C][C]Trim. Kurtosis (32/120)[/C]-1.154500[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]-0.067500[/C]0.833600[/C][C]Trim. Kurtosis (33/120)[/C]-1.155900[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]-0.054000[/C]0.865000[/C][C]Trim. Kurtosis (34/120)[/C]-1.184300[/C]0.067200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]-0.038200[/C]0.904400[/C][C]Trim. Kurtosis (35/120)[/C]-1.163100[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]-0.028500[/C]0.928200[/C][C]Trim. Kurtosis (36/120)[/C]-1.136300[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]-0.015300[/C]0.960200[/C][C]Trim. Kurtosis (37/120)[/C]-1.108800[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.001200[/C]0.992000[/C][C]Trim. Kurtosis (38/120)[/C]-1.083900[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.028600[/C]0.936200[/C][C]Trim. Kurtosis (39/120)[/C]-1.069500[/C]0.133600[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.078800[/C]0.825800[/C][C]Trim. Kurtosis (40/120)[/C]-1.081200[/C]0.138800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102966&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102966&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)-0.3835000.081800Trim. Kurtosis (0/120)-0.6895000.114200
Trim. Skewness (1/120)-0.3560000.109600Trim. Kurtosis (1/120)-0.7582000.085400
Trim. Skewness (2/120)-0.3306000.138800Trim. Kurtosis (2/120)-0.8027000.070200
Trim. Skewness (3/120)-0.2906000.197000Trim. Kurtosis (3/120)-0.8728000.051200
Trim. Skewness (4/120)-0.2482000.275800Trim. Kurtosis (4/120)-0.9462000.036600
Trim. Skewness (5/120)-0.2095000.362800Trim. Kurtosis (5/120)-1.0112000.026400
Trim. Skewness (6/120)-0.1828000.429600Trim. Kurtosis (6/120)-1.0480000.022600
Trim. Skewness (7/120)-0.1512000.515600Trim. Kurtosis (7/120)-1.0931000.018800
Trim. Skewness (8/120)-0.1345000.568600Trim. Kurtosis (8/120)-1.1024000.018800
Trim. Skewness (9/120)-0.1230000.603000Trim. Kurtosis (9/120)-1.1016000.019800
Trim. Skewness (10/120)-0.1135000.631200Trim. Kurtosis (10/120)-1.0960000.021400
Trim. Skewness (11/120)-0.1081000.652800Trim. Kurtosis (11/120)-1.0851000.024400
Trim. Skewness (12/120)-0.1048000.667200Trim. Kurtosis (12/120)-1.0712000.027800
Trim. Skewness (13/120)-0.0992000.689200Trim. Kurtosis (13/120)-1.0583000.031600
Trim. Skewness (14/120)-0.0962000.696600Trim. Kurtosis (14/120)-1.0423000.035800
Trim. Skewness (15/120)-0.0919000.711400Trim. Kurtosis (15/120)-1.0297000.040400
Trim. Skewness (16/120)-0.0864000.733800Trim. Kurtosis (16/120)-1.0233000.043400
Trim. Skewness (17/120)-0.0801000.756600Trim. Kurtosis (17/120)-1.0239000.045600
Trim. Skewness (18/120)-0.0712000.779400Trim. Kurtosis (18/120)-1.0386000.045600
Trim. Skewness (19/120)-0.0635000.810400Trim. Kurtosis (19/120)-1.0560000.044400
Trim. Skewness (20/120)-0.0504000.849200Trim. Kurtosis (20/120)-1.0919000.039400
Trim. Skewness (21/120)-0.0546000.833600Trim. Kurtosis (21/120)-1.1175000.037600
Trim. Skewness (22/120)-0.0682000.802600Trim. Kurtosis (22/120)-1.1266000.038400
Trim. Skewness (23/120)-0.0942000.733800Trim. Kurtosis (23/120)-1.1422000.037600
Trim. Skewness (24/120)-0.1233000.660000Trim. Kurtosis (24/120)-1.1723000.035800
Trim. Skewness (25/120)-0.1305000.645600Trim. Kurtosis (25/120)-1.1738000.037600
Trim. Skewness (26/120)-0.1304000.652800Trim. Kurtosis (26/120)-1.1717000.040400
Trim. Skewness (27/120)-0.1227000.674400Trim. Kurtosis (27/120)-1.1689000.044400
Trim. Skewness (28/120)-0.1073000.718800Trim. Kurtosis (28/120)-1.1762000.045600
Trim. Skewness (29/120)-0.0990000.741400Trim. Kurtosis (29/120)-1.1753000.048800
Trim. Skewness (30/120)-0.0867000.771800Trim. Kurtosis (30/120)-1.1668000.054800
Trim. Skewness (31/120)-0.0725000.810400Trim. Kurtosis (31/120)-1.1679000.058800
Trim. Skewness (32/120)-0.0724000.818000Trim. Kurtosis (32/120)-1.1545000.065800
Trim. Skewness (33/120)-0.0675000.833600Trim. Kurtosis (33/120)-1.1559000.070200
Trim. Skewness (34/120)-0.0540000.865000Trim. Kurtosis (34/120)-1.1843000.067200
Trim. Skewness (35/120)-0.0382000.904400Trim. Kurtosis (35/120)-1.1631000.078400
Trim. Skewness (36/120)-0.0285000.928200Trim. Kurtosis (36/120)-1.1363000.091000
Trim. Skewness (37/120)-0.0153000.960200Trim. Kurtosis (37/120)-1.1088000.105200
Trim. Skewness (38/120)0.0012000.992000Trim. Kurtosis (38/120)-1.0839000.121200
Trim. Skewness (39/120)0.0286000.936200Trim. Kurtosis (39/120)-1.0695000.133600
Trim. Skewness (40/120)0.0788000.825800Trim. Kurtosis (40/120)-1.0812000.138800


Figures (Output of Computation)

Input Parameters & R Code

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