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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 17:37:34 +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/t12910521473dubmperz682w3y.htm/, Retrieved Mon, 29 Apr 2024 15:49:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=102976, Retrieved Mon, 29 Apr 2024 15:49:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4973.07
4983.99
5026.31
4937.47
4879.91
4783.89
4719.62
4636.94
4422.35
4336.73
4366.28
4316.14
4239.85
4261.15
4219.42
4178.94
4326.87
4323.42
4518.72
4428.11
4338.35
4271.04
4374.96
4492.79
4510.49
4644.63
4666.82
4505.54
4530.09
4407.56
4413.39
4216.6
4204.96
4215.21
4014.66
3936.45
3895.75
3846.21
3942.62
3843.74
3710.07
3690.72
3890.94
3695.49
3666.41
3692.03
3886.98
3914.1
3956.22
3953.6
4044.54
3987.77
3996.32
4043.46
4068.74
4176.37
4187.36
4223.29
4259.37
4203.55
3989.23
4084.76
4131.07
4381.92
4384.99
4349.81
4322.5
4357.92
4491.12
4491.12
4557.01
4549.79
4609.46
4676.84
4486.3
4501.63
4594.42
4538.21
4674.32
4694.07
4607.42
4704.56
4769.45
4769.45
4902.45
4853.03
4880.71
4804.1
4913.9
4866.91
4854.11
4727.61
4738.47
4737.5
4851.96
4959.62
5038.94
4900.67
4918.75
4918.45
4985.6
5000.77
4932.88
4940.82
5142.56
5144.06
5054.53
5064.80
5077.03
5004.72
4997.86
5051.18
5107.26
5069.24
4889.94
4890.72
4799.98
4837.48
4839.46
4693.4

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.82211e+7FISHER 4th Cent. Mom.4.99652e+10
FISHER beta 10.087169FISHER beta 22.048690
FISHER gamma 1-0.295244FISHER gamma 2-0.951310
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.320370FISHER Test 2-2.127194
FISHER Test 1 Probability0.183600FISHER Test 2 Probability0.033200
Pearson 2-0.078457
Yule using Quartile definition:Weighted Average at Xnp0.062780
Yule using Quartile definition:Weighted Average at X(n+1)p0.077231
Yule using Quartile definition:Empirical Distribution Function0.062780
Yule using Quartile definition:Empirical Distribution Function - Averaging0.073231
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.069186
Yule using Quartile definition:Closest Observation0.062780
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.069186
Yule using Quartile definition:MS Excel (old versions)0.081188
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.298994Kurtosis (small sample)-0.940455
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.353659TEST 1 (small sample)-2.145538
TEST 1 Prob. (small sample)0.173800TEST 1 Prob. (small sample)0.031600
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.82211e+7 & FISHER 4th Cent. Mom.4.99652e+10 \tabularnewline FISHER beta 10.087169 & FISHER beta 22.048690 \tabularnewline FISHER gamma 1-0.295244 & FISHER gamma 2-0.951310 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-1.320370 & FISHER Test 2-2.127194 \tabularnewline FISHER Test 1 Probability0.183600 & FISHER Test 2 Probability0.033200 \tabularnewline Pearson 2-0.078457 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.062780 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.077231 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.062780 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.073231 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.069186 & & \tabularnewline Yule using Quartile definition:Closest Observation0.062780 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.069186 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.081188 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.298994 & Kurtosis (small sample)-0.940455 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-1.353659 & TEST 1 (small sample)-2.145538 \tabularnewline TEST 1 Prob. (small sample)0.173800 & TEST 1 Prob. (small sample)0.031600 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102976&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]-1.82211e+7[/C][C]FISHER 4th Cent. Mom.[/C]4.99652e+10[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.087169[/C][C]FISHER beta 2[/C]2.048690[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.295244[/C][C]FISHER gamma 2[/C]-0.951310[/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]-1.320370[/C][C]FISHER Test 2[/C]-2.127194[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.183600[/C][C]FISHER Test 2 Probability[/C]0.033200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.078457[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.062780[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.077231[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.062780[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.073231[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.069186[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.062780[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.069186[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.081188[/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]-0.298994[/C][C]Kurtosis (small sample)[/C]-0.940455[/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]-1.353659[/C][C]TEST 1 (small sample)[/C]-2.145538[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.173800[/C][C]TEST 1 Prob. (small sample)[/C]0.031600[/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=102976&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102976&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.-1.82211e+7FISHER 4th Cent. Mom.4.99652e+10
FISHER beta 10.087169FISHER beta 22.048690
FISHER gamma 1-0.295244FISHER gamma 2-0.951310
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.320370FISHER Test 2-2.127194
FISHER Test 1 Probability0.183600FISHER Test 2 Probability0.033200
Pearson 2-0.078457
Yule using Quartile definition:Weighted Average at Xnp0.062780
Yule using Quartile definition:Weighted Average at X(n+1)p0.077231
Yule using Quartile definition:Empirical Distribution Function0.062780
Yule using Quartile definition:Empirical Distribution Function - Averaging0.073231
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.069186
Yule using Quartile definition:Closest Observation0.062780
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.069186
Yule using Quartile definition:MS Excel (old versions)0.081188
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.298994Kurtosis (small sample)-0.940455
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.353659TEST 1 (small sample)-2.145538
TEST 1 Prob. (small sample)0.173800TEST 1 Prob. (small sample)0.031600
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.2990000.173800Trim. Kurtosis (0/120)-0.9405000.031600
Trim. Skewness (1/120)-0.2898000.190200Trim. Kurtosis (1/120)-0.9590000.029200
Trim. Skewness (2/120)-0.2821000.207600Trim. Kurtosis (2/120)-0.9796000.027800
Trim. Skewness (3/120)-0.2658000.238000Trim. Kurtosis (3/120)-1.0109000.023800
Trim. Skewness (4/120)-0.2404000.289200Trim. Kurtosis (4/120)-1.0565000.019200
Trim. Skewness (5/120)-0.2106000.357600Trim. Kurtosis (5/120)-1.1155000.014200
Trim. Skewness (6/120)-0.2065000.373400Trim. Kurtosis (6/120)-1.1167000.015000
Trim. Skewness (7/120)-0.1994000.395400Trim. Kurtosis (7/120)-1.1230000.015600
Trim. Skewness (8/120)-0.1982000.400800Trim. Kurtosis (8/120)-1.1202000.016800
Trim. Skewness (9/120)-0.1944000.412200Trim. Kurtosis (9/120)-1.1204000.017800
Trim. Skewness (10/120)-0.1876000.435400Trim. Kurtosis (10/120)-1.1243000.018200
Trim. Skewness (11/120)-0.1789000.459200Trim. Kurtosis (11/120)-1.1249000.019800
Trim. Skewness (12/120)-0.1723000.484000Trim. Kurtosis (12/120)-1.1222000.020800
Trim. Skewness (13/120)-0.1643000.502800Trim. Kurtosis (13/120)-1.1239000.022000
Trim. Skewness (14/120)-0.1539000.535200Trim. Kurtosis (14/120)-1.1271000.023200
Trim. Skewness (15/120)-0.1404000.575400Trim. Kurtosis (15/120)-1.1397000.023200
Trim. Skewness (16/120)-0.1304000.610000Trim. Kurtosis (16/120)-1.1433000.024400
Trim. Skewness (17/120)-0.1140000.660000Trim. Kurtosis (17/120)-1.1551000.024400
Trim. Skewness (18/120)-0.0907000.726400Trim. Kurtosis (18/120)-1.1732000.023800
Trim. Skewness (19/120)-0.0669000.794800Trim. Kurtosis (19/120)-1.1929000.023200
Trim. Skewness (20/120)-0.0470000.857200Trim. Kurtosis (20/120)-1.2057000.023200
Trim. Skewness (21/120)-0.0176000.944200Trim. Kurtosis (21/120)-1.2310000.022000
Trim. Skewness (22/120)0.0090000.968000Trim. Kurtosis (22/120)-1.2547000.020800
Trim. Skewness (23/120)0.0368000.888600Trim. Kurtosis (23/120)-1.2828000.019800
Trim. Skewness (24/120)0.0534000.849200Trim. Kurtosis (24/120)-1.2870000.020800
Trim. Skewness (25/120)0.0562000.841400Trim. Kurtosis (25/120)-1.2747000.023800
Trim. Skewness (26/120)0.0618000.825800Trim. Kurtosis (26/120)-1.2625000.027800
Trim. Skewness (27/120)0.0654000.818000Trim. Kurtosis (27/120)-1.2524000.030800
Trim. Skewness (28/120)0.0664000.818000Trim. Kurtosis (28/120)-1.2367000.035800
Trim. Skewness (29/120)0.0667000.825800Trim. Kurtosis (29/120)-1.2277000.040400
Trim. Skewness (30/120)0.0680000.818000Trim. Kurtosis (30/120)-1.2141000.045600
Trim. Skewness (31/120)0.0751000.810400Trim. Kurtosis (31/120)-1.2007000.051200
Trim. Skewness (32/120)0.0827000.794800Trim. Kurtosis (32/120)-1.1986000.056200
Trim. Skewness (33/120)0.0899000.779400Trim. Kurtosis (33/120)-1.2160000.056200
Trim. Skewness (34/120)0.0949000.771800Trim. Kurtosis (34/120)-1.2324000.057400
Trim. Skewness (35/120)0.0845000.794800Trim. Kurtosis (35/120)-1.2618000.056200
Trim. Skewness (36/120)0.0989000.771800Trim. Kurtosis (36/120)-1.2767000.057400
Trim. Skewness (37/120)0.1113000.749000Trim. Kurtosis (37/120)-1.3103000.056200
Trim. Skewness (38/120)0.0988000.779400Trim. Kurtosis (38/120)-1.3016000.062800
Trim. Skewness (39/120)0.0887000.802600Trim. Kurtosis (39/120)-1.2831000.071800
Trim. Skewness (40/120)0.0697000.849200Trim. Kurtosis (40/120)-1.2875000.078400

\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)-0.2990000.173800 & Trim. Kurtosis (0/120)-0.9405000.031600 \tabularnewline Trim. Skewness (1/120)-0.2898000.190200 & Trim. Kurtosis (1/120)-0.9590000.029200 \tabularnewline Trim. Skewness (2/120)-0.2821000.207600 & Trim. Kurtosis (2/120)-0.9796000.027800 \tabularnewline Trim. Skewness (3/120)-0.2658000.238000 & Trim. Kurtosis (3/120)-1.0109000.023800 \tabularnewline Trim. Skewness (4/120)-0.2404000.289200 & Trim. Kurtosis (4/120)-1.0565000.019200 \tabularnewline Trim. Skewness (5/120)-0.2106000.357600 & Trim. Kurtosis (5/120)-1.1155000.014200 \tabularnewline Trim. Skewness (6/120)-0.2065000.373400 & Trim. Kurtosis (6/120)-1.1167000.015000 \tabularnewline Trim. Skewness (7/120)-0.1994000.395400 & Trim. Kurtosis (7/120)-1.1230000.015600 \tabularnewline Trim. Skewness (8/120)-0.1982000.400800 & Trim. Kurtosis (8/120)-1.1202000.016800 \tabularnewline Trim. Skewness (9/120)-0.1944000.412200 & Trim. Kurtosis (9/120)-1.1204000.017800 \tabularnewline Trim. Skewness (10/120)-0.1876000.435400 & Trim. Kurtosis (10/120)-1.1243000.018200 \tabularnewline Trim. Skewness (11/120)-0.1789000.459200 & Trim. Kurtosis (11/120)-1.1249000.019800 \tabularnewline Trim. Skewness (12/120)-0.1723000.484000 & Trim. Kurtosis (12/120)-1.1222000.020800 \tabularnewline Trim. Skewness (13/120)-0.1643000.502800 & Trim. Kurtosis (13/120)-1.1239000.022000 \tabularnewline Trim. Skewness (14/120)-0.1539000.535200 & Trim. Kurtosis (14/120)-1.1271000.023200 \tabularnewline Trim. Skewness (15/120)-0.1404000.575400 & Trim. Kurtosis (15/120)-1.1397000.023200 \tabularnewline Trim. Skewness (16/120)-0.1304000.610000 & Trim. Kurtosis (16/120)-1.1433000.024400 \tabularnewline Trim. Skewness (17/120)-0.1140000.660000 & Trim. Kurtosis (17/120)-1.1551000.024400 \tabularnewline Trim. Skewness (18/120)-0.0907000.726400 & Trim. Kurtosis (18/120)-1.1732000.023800 \tabularnewline Trim. Skewness (19/120)-0.0669000.794800 & Trim. Kurtosis (19/120)-1.1929000.023200 \tabularnewline Trim. Skewness (20/120)-0.0470000.857200 & Trim. Kurtosis (20/120)-1.2057000.023200 \tabularnewline Trim. Skewness (21/120)-0.0176000.944200 & Trim. Kurtosis (21/120)-1.2310000.022000 \tabularnewline Trim. Skewness (22/120)0.0090000.968000 & Trim. Kurtosis (22/120)-1.2547000.020800 \tabularnewline Trim. Skewness (23/120)0.0368000.888600 & Trim. Kurtosis (23/120)-1.2828000.019800 \tabularnewline Trim. Skewness (24/120)0.0534000.849200 & Trim. Kurtosis (24/120)-1.2870000.020800 \tabularnewline Trim. Skewness (25/120)0.0562000.841400 & Trim. Kurtosis (25/120)-1.2747000.023800 \tabularnewline Trim. Skewness (26/120)0.0618000.825800 & Trim. Kurtosis (26/120)-1.2625000.027800 \tabularnewline Trim. Skewness (27/120)0.0654000.818000 & Trim. Kurtosis (27/120)-1.2524000.030800 \tabularnewline Trim. Skewness (28/120)0.0664000.818000 & Trim. Kurtosis (28/120)-1.2367000.035800 \tabularnewline Trim. Skewness (29/120)0.0667000.825800 & Trim. Kurtosis (29/120)-1.2277000.040400 \tabularnewline Trim. Skewness (30/120)0.0680000.818000 & Trim. Kurtosis (30/120)-1.2141000.045600 \tabularnewline Trim. Skewness (31/120)0.0751000.810400 & Trim. Kurtosis (31/120)-1.2007000.051200 \tabularnewline Trim. Skewness (32/120)0.0827000.794800 & Trim. Kurtosis (32/120)-1.1986000.056200 \tabularnewline Trim. Skewness (33/120)0.0899000.779400 & Trim. Kurtosis (33/120)-1.2160000.056200 \tabularnewline Trim. Skewness (34/120)0.0949000.771800 & Trim. Kurtosis (34/120)-1.2324000.057400 \tabularnewline Trim. Skewness (35/120)0.0845000.794800 & Trim. Kurtosis (35/120)-1.2618000.056200 \tabularnewline Trim. Skewness (36/120)0.0989000.771800 & Trim. Kurtosis (36/120)-1.2767000.057400 \tabularnewline Trim. Skewness (37/120)0.1113000.749000 & Trim. Kurtosis (37/120)-1.3103000.056200 \tabularnewline Trim. Skewness (38/120)0.0988000.779400 & Trim. Kurtosis (38/120)-1.3016000.062800 \tabularnewline Trim. Skewness (39/120)0.0887000.802600 & Trim. Kurtosis (39/120)-1.2831000.071800 \tabularnewline Trim. Skewness (40/120)0.0697000.849200 & Trim. Kurtosis (40/120)-1.2875000.078400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=102976&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]-0.299000[/C]0.173800[/C][C]Trim. Kurtosis (0/120)[/C]-0.940500[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.289800[/C]0.190200[/C][C]Trim. Kurtosis (1/120)[/C]-0.959000[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.282100[/C]0.207600[/C][C]Trim. Kurtosis (2/120)[/C]-0.979600[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.265800[/C]0.238000[/C][C]Trim. Kurtosis (3/120)[/C]-1.010900[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.240400[/C]0.289200[/C][C]Trim. Kurtosis (4/120)[/C]-1.056500[/C]0.019200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.210600[/C]0.357600[/C][C]Trim. Kurtosis (5/120)[/C]-1.115500[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.206500[/C]0.373400[/C][C]Trim. Kurtosis (6/120)[/C]-1.116700[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]-0.199400[/C]0.395400[/C][C]Trim. Kurtosis (7/120)[/C]-1.123000[/C]0.015600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]-0.198200[/C]0.400800[/C][C]Trim. Kurtosis (8/120)[/C]-1.120200[/C]0.016800[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.194400[/C]0.412200[/C][C]Trim. Kurtosis (9/120)[/C]-1.120400[/C]0.017800[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.187600[/C]0.435400[/C][C]Trim. Kurtosis (10/120)[/C]-1.124300[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]-0.178900[/C]0.459200[/C][C]Trim. Kurtosis (11/120)[/C]-1.124900[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.172300[/C]0.484000[/C][C]Trim. Kurtosis (12/120)[/C]-1.122200[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.164300[/C]0.502800[/C][C]Trim. Kurtosis (13/120)[/C]-1.123900[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.153900[/C]0.535200[/C][C]Trim. Kurtosis (14/120)[/C]-1.127100[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.140400[/C]0.575400[/C][C]Trim. Kurtosis (15/120)[/C]-1.139700[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.130400[/C]0.610000[/C][C]Trim. Kurtosis (16/120)[/C]-1.143300[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.114000[/C]0.660000[/C][C]Trim. Kurtosis (17/120)[/C]-1.155100[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.090700[/C]0.726400[/C][C]Trim. Kurtosis (18/120)[/C]-1.173200[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.066900[/C]0.794800[/C][C]Trim. Kurtosis (19/120)[/C]-1.192900[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.047000[/C]0.857200[/C][C]Trim. Kurtosis (20/120)[/C]-1.205700[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.017600[/C]0.944200[/C][C]Trim. Kurtosis (21/120)[/C]-1.231000[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.009000[/C]0.968000[/C][C]Trim. Kurtosis (22/120)[/C]-1.254700[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.036800[/C]0.888600[/C][C]Trim. Kurtosis (23/120)[/C]-1.282800[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.053400[/C]0.849200[/C][C]Trim. Kurtosis (24/120)[/C]-1.287000[/C]0.020800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.056200[/C]0.841400[/C][C]Trim. Kurtosis (25/120)[/C]-1.274700[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.061800[/C]0.825800[/C][C]Trim. Kurtosis (26/120)[/C]-1.262500[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.065400[/C]0.818000[/C][C]Trim. Kurtosis (27/120)[/C]-1.252400[/C]0.030800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.066400[/C]0.818000[/C][C]Trim. Kurtosis (28/120)[/C]-1.236700[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.066700[/C]0.825800[/C][C]Trim. Kurtosis (29/120)[/C]-1.227700[/C]0.040400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.068000[/C]0.818000[/C][C]Trim. Kurtosis (30/120)[/C]-1.214100[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.075100[/C]0.810400[/C][C]Trim. Kurtosis (31/120)[/C]-1.200700[/C]0.051200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.082700[/C]0.794800[/C][C]Trim. Kurtosis (32/120)[/C]-1.198600[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.089900[/C]0.779400[/C][C]Trim. Kurtosis (33/120)[/C]-1.216000[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.094900[/C]0.771800[/C][C]Trim. Kurtosis (34/120)[/C]-1.232400[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.084500[/C]0.794800[/C][C]Trim. Kurtosis (35/120)[/C]-1.261800[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.098900[/C]0.771800[/C][C]Trim. Kurtosis (36/120)[/C]-1.276700[/C]0.057400[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.111300[/C]0.749000[/C][C]Trim. Kurtosis (37/120)[/C]-1.310300[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.098800[/C]0.779400[/C][C]Trim. Kurtosis (38/120)[/C]-1.301600[/C]0.062800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.088700[/C]0.802600[/C][C]Trim. Kurtosis (39/120)[/C]-1.283100[/C]0.071800[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.069700[/C]0.849200[/C][C]Trim. Kurtosis (40/120)[/C]-1.287500[/C]0.078400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=102976&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=102976&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)-0.2990000.173800Trim. Kurtosis (0/120)-0.9405000.031600
Trim. Skewness (1/120)-0.2898000.190200Trim. Kurtosis (1/120)-0.9590000.029200
Trim. Skewness (2/120)-0.2821000.207600Trim. Kurtosis (2/120)-0.9796000.027800
Trim. Skewness (3/120)-0.2658000.238000Trim. Kurtosis (3/120)-1.0109000.023800
Trim. Skewness (4/120)-0.2404000.289200Trim. Kurtosis (4/120)-1.0565000.019200
Trim. Skewness (5/120)-0.2106000.357600Trim. Kurtosis (5/120)-1.1155000.014200
Trim. Skewness (6/120)-0.2065000.373400Trim. Kurtosis (6/120)-1.1167000.015000
Trim. Skewness (7/120)-0.1994000.395400Trim. Kurtosis (7/120)-1.1230000.015600
Trim. Skewness (8/120)-0.1982000.400800Trim. Kurtosis (8/120)-1.1202000.016800
Trim. Skewness (9/120)-0.1944000.412200Trim. Kurtosis (9/120)-1.1204000.017800
Trim. Skewness (10/120)-0.1876000.435400Trim. Kurtosis (10/120)-1.1243000.018200
Trim. Skewness (11/120)-0.1789000.459200Trim. Kurtosis (11/120)-1.1249000.019800
Trim. Skewness (12/120)-0.1723000.484000Trim. Kurtosis (12/120)-1.1222000.020800
Trim. Skewness (13/120)-0.1643000.502800Trim. Kurtosis (13/120)-1.1239000.022000
Trim. Skewness (14/120)-0.1539000.535200Trim. Kurtosis (14/120)-1.1271000.023200
Trim. Skewness (15/120)-0.1404000.575400Trim. Kurtosis (15/120)-1.1397000.023200
Trim. Skewness (16/120)-0.1304000.610000Trim. Kurtosis (16/120)-1.1433000.024400
Trim. Skewness (17/120)-0.1140000.660000Trim. Kurtosis (17/120)-1.1551000.024400
Trim. Skewness (18/120)-0.0907000.726400Trim. Kurtosis (18/120)-1.1732000.023800
Trim. Skewness (19/120)-0.0669000.794800Trim. Kurtosis (19/120)-1.1929000.023200
Trim. Skewness (20/120)-0.0470000.857200Trim. Kurtosis (20/120)-1.2057000.023200
Trim. Skewness (21/120)-0.0176000.944200Trim. Kurtosis (21/120)-1.2310000.022000
Trim. Skewness (22/120)0.0090000.968000Trim. Kurtosis (22/120)-1.2547000.020800
Trim. Skewness (23/120)0.0368000.888600Trim. Kurtosis (23/120)-1.2828000.019800
Trim. Skewness (24/120)0.0534000.849200Trim. Kurtosis (24/120)-1.2870000.020800
Trim. Skewness (25/120)0.0562000.841400Trim. Kurtosis (25/120)-1.2747000.023800
Trim. Skewness (26/120)0.0618000.825800Trim. Kurtosis (26/120)-1.2625000.027800
Trim. Skewness (27/120)0.0654000.818000Trim. Kurtosis (27/120)-1.2524000.030800
Trim. Skewness (28/120)0.0664000.818000Trim. Kurtosis (28/120)-1.2367000.035800
Trim. Skewness (29/120)0.0667000.825800Trim. Kurtosis (29/120)-1.2277000.040400
Trim. Skewness (30/120)0.0680000.818000Trim. Kurtosis (30/120)-1.2141000.045600
Trim. Skewness (31/120)0.0751000.810400Trim. Kurtosis (31/120)-1.2007000.051200
Trim. Skewness (32/120)0.0827000.794800Trim. Kurtosis (32/120)-1.1986000.056200
Trim. Skewness (33/120)0.0899000.779400Trim. Kurtosis (33/120)-1.2160000.056200
Trim. Skewness (34/120)0.0949000.771800Trim. Kurtosis (34/120)-1.2324000.057400
Trim. Skewness (35/120)0.0845000.794800Trim. Kurtosis (35/120)-1.2618000.056200
Trim. Skewness (36/120)0.0989000.771800Trim. Kurtosis (36/120)-1.2767000.057400
Trim. Skewness (37/120)0.1113000.749000Trim. Kurtosis (37/120)-1.3103000.056200
Trim. Skewness (38/120)0.0988000.779400Trim. Kurtosis (38/120)-1.3016000.062800
Trim. Skewness (39/120)0.0887000.802600Trim. Kurtosis (39/120)-1.2831000.071800
Trim. Skewness (40/120)0.0697000.849200Trim. Kurtosis (40/120)-1.2875000.078400


Figures (Output of Computation)

Input Parameters & R Code

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