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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 19:30:05 +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/t12910588833lsme63zeaemrj5.htm/, Retrieved Mon, 29 Apr 2024 11:17:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103053, Retrieved Mon, 29 Apr 2024 11:17:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

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] [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 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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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
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Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.8.46002e+8FISHER 4th Cent. Mom.4.79872e+13
FISHER beta 10.009739FISHER beta 22.735055
FISHER gamma 10.098685FISHER gamma 2-0.264945
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.900868FISHER Test 2-1.209302
FISHER Test 1 Probability0.362800FISHER Test 2 Probability0.226200
Pearson 2-0.056508
Yule using Quartile definition:Weighted Average at Xnp-0.041568
Yule using Quartile definition:Weighted Average at X(n+1)p-0.028262
Yule using Quartile definition:Empirical Distribution Function-0.041568
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030827
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.033419
Yule using Quartile definition:Closest Observation-0.041568
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.033419
Yule using Quartile definition:MS Excel (old versions)-0.025724
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.098982Kurtosis (small sample)-0.255517
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.906284TEST 1 (small sample)-1.172062
TEST 1 Prob. (small sample)0.362800TEST 1 Prob. (small sample)0.238000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.8.46002e+8 & FISHER 4th Cent. Mom.4.79872e+13 \tabularnewline FISHER beta 10.009739 & FISHER beta 22.735055 \tabularnewline FISHER gamma 10.098685 & FISHER gamma 2-0.264945 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 10.900868 & FISHER Test 2-1.209302 \tabularnewline FISHER Test 1 Probability0.362800 & FISHER Test 2 Probability0.226200 \tabularnewline Pearson 2-0.056508 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.041568 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.028262 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.041568 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030827 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.033419 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.041568 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.033419 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.025724 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.098982 & Kurtosis (small sample)-0.255517 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)0.906284 & TEST 1 (small sample)-1.172062 \tabularnewline TEST 1 Prob. (small sample)0.362800 & TEST 1 Prob. (small sample)0.238000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103053&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]8.46002e+8[/C][C]FISHER 4th Cent. Mom.[/C]4.79872e+13[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.009739[/C][C]FISHER beta 2[/C]2.735055[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.098685[/C][C]FISHER gamma 2[/C]-0.264945[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.900868[/C][C]FISHER Test 2[/C]-1.209302[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.362800[/C][C]FISHER Test 2 Probability[/C]0.226200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.056508[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.041568[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.028262[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.041568[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.030827[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.033419[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.041568[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.033419[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.025724[/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]0.098982[/C][C]Kurtosis (small sample)[/C]-0.255517[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.906284[/C][C]TEST 1 (small sample)[/C]-1.172062[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.362800[/C][C]TEST 1 Prob. (small sample)[/C]0.238000[/C][/ROW] [ROW][C]Observations[/C]500[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103053&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103053&T=0

As an alternative you can also use a QR Code:  
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The GUIDs for individual cells are displayed in the table below:

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.8.46002e+8FISHER 4th Cent. Mom.4.79872e+13
FISHER beta 10.009739FISHER beta 22.735055
FISHER gamma 10.098685FISHER gamma 2-0.264945
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.900868FISHER Test 2-1.209302
FISHER Test 1 Probability0.362800FISHER Test 2 Probability0.226200
Pearson 2-0.056508
Yule using Quartile definition:Weighted Average at Xnp-0.041568
Yule using Quartile definition:Weighted Average at X(n+1)p-0.028262
Yule using Quartile definition:Empirical Distribution Function-0.041568
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.030827
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.033419
Yule using Quartile definition:Closest Observation-0.041568
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.033419
Yule using Quartile definition:MS Excel (old versions)-0.025724
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.098982Kurtosis (small sample)-0.255517
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.906284TEST 1 (small sample)-1.172062
TEST 1 Prob. (small sample)0.362800TEST 1 Prob. (small sample)0.238000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0990000.362800Trim. Kurtosis (0/500)-0.2555000.238000
Trim. Skewness (1/500)0.1003000.357600Trim. Kurtosis (1/500)-0.3623000.097000
Trim. Skewness (2/500)0.0914000.400800Trim. Kurtosis (2/500)-0.4498000.039400
Trim. Skewness (3/500)0.0887000.418000Trim. Kurtosis (3/500)-0.4938000.023800
Trim. Skewness (4/500)0.0837000.441200Trim. Kurtosis (4/500)-0.5329000.015000
Trim. Skewness (5/500)0.0783000.477600Trim. Kurtosis (5/500)-0.5724000.009400
Trim. Skewness (6/500)0.0714000.515600Trim. Kurtosis (6/500)-0.6040000.006200
Trim. Skewness (7/500)0.0644000.555200Trim. Kurtosis (7/500)-0.6380000.003800
Trim. Skewness (8/500)0.0566000.603000Trim. Kurtosis (8/500)-0.6705000.002400
Trim. Skewness (9/500)0.0508000.645600Trim. Kurtosis (9/500)-0.6944000.001800
Trim. Skewness (10/500)0.0494000.652800Trim. Kurtosis (10/500)-0.7049000.001600
Trim. Skewness (11/500)0.0480000.660000Trim. Kurtosis (11/500)-0.7160000.001200
Trim. Skewness (12/500)0.0463000.674400Trim. Kurtosis (12/500)-0.7248000.001200
Trim. Skewness (13/500)0.0441000.689200Trim. Kurtosis (13/500)-0.7347000.001000
Trim. Skewness (14/500)0.0431000.696600Trim. Kurtosis (14/500)-0.7430000.001000
Trim. Skewness (15/500)0.0418000.704000Trim. Kurtosis (15/500)-0.7522000.000800
Trim. Skewness (16/500)0.0409000.711400Trim. Kurtosis (16/500)-0.7619000.000600
Trim. Skewness (17/500)0.0397000.718800Trim. Kurtosis (17/500)-0.7724000.000600
Trim. Skewness (18/500)0.0388000.726400Trim. Kurtosis (18/500)-0.7826000.000600
Trim. Skewness (19/500)0.0378000.733800Trim. Kurtosis (19/500)-0.7942000.000400
Trim. Skewness (20/500)0.0372000.741400Trim. Kurtosis (20/500)-0.8044000.000400
Trim. Skewness (21/500)0.0357000.749000Trim. Kurtosis (21/500)-0.8145000.000400
Trim. Skewness (22/500)0.0330000.771800Trim. Kurtosis (22/500)-0.8232000.000400
Trim. Skewness (23/500)0.0300000.787200Trim. Kurtosis (23/500)-0.8322000.000200
Trim. Skewness (24/500)0.0264000.810400Trim. Kurtosis (24/500)-0.8407000.000200
Trim. Skewness (25/500)0.0224000.841400Trim. Kurtosis (25/500)-0.8498000.000200
Trim. Skewness (26/500)0.0202000.857200Trim. Kurtosis (26/500)-0.8563000.000200
Trim. Skewness (27/500)0.0181000.872800Trim. Kurtosis (27/500)-0.8630000.000200
Trim. Skewness (28/500)0.0159000.888600Trim. Kurtosis (28/500)-0.8703000.000200
Trim. Skewness (29/500)0.0130000.904400Trim. Kurtosis (29/500)-0.8779000.000200
Trim. Skewness (30/500)0.0097000.928200Trim. Kurtosis (30/500)-0.8853000.000200
Trim. Skewness (31/500)0.0068000.952200Trim. Kurtosis (31/500)-0.8922000.000200
Trim. Skewness (32/500)0.0040000.968000Trim. Kurtosis (32/500)-0.8991000.000200
Trim. Skewness (33/500)0.0018000.984000Trim. Kurtosis (33/500)-0.9057000.000200
Trim. Skewness (34/500)-0.0001000.992000Trim. Kurtosis (34/500)-0.9122000.000000
Trim. Skewness (35/500)-0.0019000.984000Trim. Kurtosis (35/500)-0.9184000.000000
Trim. Skewness (36/500)-0.0031000.976000Trim. Kurtosis (36/500)-0.9232000.000000
Trim. Skewness (37/500)-0.0042000.968000Trim. Kurtosis (37/500)-0.9285000.000000
Trim. Skewness (38/500)-0.0049000.960200Trim. Kurtosis (38/500)-0.9337000.000000
Trim. Skewness (39/500)-0.0058000.960200Trim. Kurtosis (39/500)-0.9398000.000000
Trim. Skewness (40/500)-0.0074000.944200Trim. Kurtosis (40/500)-0.9458000.000000

\begin{tabular}{lllllllll}
\hline

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

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/500)0.0990000.362800 & Trim. Kurtosis (0/500)-0.2555000.238000 \tabularnewline Trim. Skewness (1/500)0.1003000.357600 & Trim. Kurtosis (1/500)-0.3623000.097000 \tabularnewline Trim. Skewness (2/500)0.0914000.400800 & Trim. Kurtosis (2/500)-0.4498000.039400 \tabularnewline Trim. Skewness (3/500)0.0887000.418000 & Trim. Kurtosis (3/500)-0.4938000.023800 \tabularnewline Trim. Skewness (4/500)0.0837000.441200 & Trim. Kurtosis (4/500)-0.5329000.015000 \tabularnewline Trim. Skewness (5/500)0.0783000.477600 & Trim. Kurtosis (5/500)-0.5724000.009400 \tabularnewline Trim. Skewness (6/500)0.0714000.515600 & Trim. Kurtosis (6/500)-0.6040000.006200 \tabularnewline Trim. Skewness (7/500)0.0644000.555200 & Trim. Kurtosis (7/500)-0.6380000.003800 \tabularnewline Trim. Skewness (8/500)0.0566000.603000 & Trim. Kurtosis (8/500)-0.6705000.002400 \tabularnewline Trim. Skewness (9/500)0.0508000.645600 & Trim. Kurtosis (9/500)-0.6944000.001800 \tabularnewline Trim. Skewness (10/500)0.0494000.652800 & Trim. Kurtosis (10/500)-0.7049000.001600 \tabularnewline Trim. Skewness (11/500)0.0480000.660000 & Trim. Kurtosis (11/500)-0.7160000.001200 \tabularnewline Trim. Skewness (12/500)0.0463000.674400 & Trim. Kurtosis (12/500)-0.7248000.001200 \tabularnewline Trim. Skewness (13/500)0.0441000.689200 & Trim. Kurtosis (13/500)-0.7347000.001000 \tabularnewline Trim. Skewness (14/500)0.0431000.696600 & Trim. Kurtosis (14/500)-0.7430000.001000 \tabularnewline Trim. Skewness (15/500)0.0418000.704000 & Trim. Kurtosis (15/500)-0.7522000.000800 \tabularnewline Trim. Skewness (16/500)0.0409000.711400 & Trim. Kurtosis (16/500)-0.7619000.000600 \tabularnewline Trim. Skewness (17/500)0.0397000.718800 & Trim. Kurtosis (17/500)-0.7724000.000600 \tabularnewline Trim. Skewness (18/500)0.0388000.726400 & Trim. Kurtosis (18/500)-0.7826000.000600 \tabularnewline Trim. Skewness (19/500)0.0378000.733800 & Trim. Kurtosis (19/500)-0.7942000.000400 \tabularnewline Trim. Skewness (20/500)0.0372000.741400 & Trim. Kurtosis (20/500)-0.8044000.000400 \tabularnewline Trim. Skewness (21/500)0.0357000.749000 & Trim. Kurtosis (21/500)-0.8145000.000400 \tabularnewline Trim. Skewness (22/500)0.0330000.771800 & Trim. Kurtosis (22/500)-0.8232000.000400 \tabularnewline Trim. Skewness (23/500)0.0300000.787200 & Trim. Kurtosis (23/500)-0.8322000.000200 \tabularnewline Trim. Skewness (24/500)0.0264000.810400 & Trim. Kurtosis (24/500)-0.8407000.000200 \tabularnewline Trim. Skewness (25/500)0.0224000.841400 & Trim. Kurtosis (25/500)-0.8498000.000200 \tabularnewline Trim. Skewness (26/500)0.0202000.857200 & Trim. Kurtosis (26/500)-0.8563000.000200 \tabularnewline Trim. Skewness (27/500)0.0181000.872800 & Trim. Kurtosis (27/500)-0.8630000.000200 \tabularnewline Trim. Skewness (28/500)0.0159000.888600 & Trim. Kurtosis (28/500)-0.8703000.000200 \tabularnewline Trim. Skewness (29/500)0.0130000.904400 & Trim. Kurtosis (29/500)-0.8779000.000200 \tabularnewline Trim. Skewness (30/500)0.0097000.928200 & Trim. Kurtosis (30/500)-0.8853000.000200 \tabularnewline Trim. Skewness (31/500)0.0068000.952200 & Trim. Kurtosis (31/500)-0.8922000.000200 \tabularnewline Trim. Skewness (32/500)0.0040000.968000 & Trim. Kurtosis (32/500)-0.8991000.000200 \tabularnewline Trim. Skewness (33/500)0.0018000.984000 & Trim. Kurtosis (33/500)-0.9057000.000200 \tabularnewline Trim. Skewness (34/500)-0.0001000.992000 & Trim. Kurtosis (34/500)-0.9122000.000000 \tabularnewline Trim. Skewness (35/500)-0.0019000.984000 & Trim. Kurtosis (35/500)-0.9184000.000000 \tabularnewline Trim. Skewness (36/500)-0.0031000.976000 & Trim. Kurtosis (36/500)-0.9232000.000000 \tabularnewline Trim. Skewness (37/500)-0.0042000.968000 & Trim. Kurtosis (37/500)-0.9285000.000000 \tabularnewline Trim. Skewness (38/500)-0.0049000.960200 & Trim. Kurtosis (38/500)-0.9337000.000000 \tabularnewline Trim. Skewness (39/500)-0.0058000.960200 & Trim. Kurtosis (39/500)-0.9398000.000000 \tabularnewline Trim. Skewness (40/500)-0.0074000.944200 & Trim. Kurtosis (40/500)-0.9458000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103053&T=1

[TABLE]

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

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/500)[/C]0.099000[/C]0.362800[/C][C]Trim. Kurtosis (0/500)[/C]-0.255500[/C]0.238000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.100300[/C]0.357600[/C][C]Trim. Kurtosis (1/500)[/C]-0.362300[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.091400[/C]0.400800[/C][C]Trim. Kurtosis (2/500)[/C]-0.449800[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.088700[/C]0.418000[/C][C]Trim. Kurtosis (3/500)[/C]-0.493800[/C]0.023800[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.083700[/C]0.441200[/C][C]Trim. Kurtosis (4/500)[/C]-0.532900[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.078300[/C]0.477600[/C][C]Trim. Kurtosis (5/500)[/C]-0.572400[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.071400[/C]0.515600[/C][C]Trim. Kurtosis (6/500)[/C]-0.604000[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.064400[/C]0.555200[/C][C]Trim. Kurtosis (7/500)[/C]-0.638000[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.056600[/C]0.603000[/C][C]Trim. Kurtosis (8/500)[/C]-0.670500[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.050800[/C]0.645600[/C][C]Trim. Kurtosis (9/500)[/C]-0.694400[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.049400[/C]0.652800[/C][C]Trim. Kurtosis (10/500)[/C]-0.704900[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.048000[/C]0.660000[/C][C]Trim. Kurtosis (11/500)[/C]-0.716000[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.046300[/C]0.674400[/C][C]Trim. Kurtosis (12/500)[/C]-0.724800[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.044100[/C]0.689200[/C][C]Trim. Kurtosis (13/500)[/C]-0.734700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.043100[/C]0.696600[/C][C]Trim. Kurtosis (14/500)[/C]-0.743000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.041800[/C]0.704000[/C][C]Trim. Kurtosis (15/500)[/C]-0.752200[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.040900[/C]0.711400[/C][C]Trim. Kurtosis (16/500)[/C]-0.761900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.039700[/C]0.718800[/C][C]Trim. Kurtosis (17/500)[/C]-0.772400[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.038800[/C]0.726400[/C][C]Trim. Kurtosis (18/500)[/C]-0.782600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.037800[/C]0.733800[/C][C]Trim. Kurtosis (19/500)[/C]-0.794200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.037200[/C]0.741400[/C][C]Trim. Kurtosis (20/500)[/C]-0.804400[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.035700[/C]0.749000[/C][C]Trim. Kurtosis (21/500)[/C]-0.814500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.033000[/C]0.771800[/C][C]Trim. Kurtosis (22/500)[/C]-0.823200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.030000[/C]0.787200[/C][C]Trim. Kurtosis (23/500)[/C]-0.832200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.026400[/C]0.810400[/C][C]Trim. Kurtosis (24/500)[/C]-0.840700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.022400[/C]0.841400[/C][C]Trim. Kurtosis (25/500)[/C]-0.849800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.020200[/C]0.857200[/C][C]Trim. Kurtosis (26/500)[/C]-0.856300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.018100[/C]0.872800[/C][C]Trim. Kurtosis (27/500)[/C]-0.863000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.015900[/C]0.888600[/C][C]Trim. Kurtosis (28/500)[/C]-0.870300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.013000[/C]0.904400[/C][C]Trim. Kurtosis (29/500)[/C]-0.877900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.009700[/C]0.928200[/C][C]Trim. Kurtosis (30/500)[/C]-0.885300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.006800[/C]0.952200[/C][C]Trim. Kurtosis (31/500)[/C]-0.892200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.004000[/C]0.968000[/C][C]Trim. Kurtosis (32/500)[/C]-0.899100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.001800[/C]0.984000[/C][C]Trim. Kurtosis (33/500)[/C]-0.905700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.000100[/C]0.992000[/C][C]Trim. Kurtosis (34/500)[/C]-0.912200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.001900[/C]0.984000[/C][C]Trim. Kurtosis (35/500)[/C]-0.918400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.003100[/C]0.976000[/C][C]Trim. Kurtosis (36/500)[/C]-0.923200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.004200[/C]0.968000[/C][C]Trim. Kurtosis (37/500)[/C]-0.928500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.004900[/C]0.960200[/C][C]Trim. Kurtosis (38/500)[/C]-0.933700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.005800[/C]0.960200[/C][C]Trim. Kurtosis (39/500)[/C]-0.939800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.007400[/C]0.944200[/C][C]Trim. Kurtosis (40/500)[/C]-0.945800[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103053&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103053&T=1

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


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

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0990000.362800Trim. Kurtosis (0/500)-0.2555000.238000
Trim. Skewness (1/500)0.1003000.357600Trim. Kurtosis (1/500)-0.3623000.097000
Trim. Skewness (2/500)0.0914000.400800Trim. Kurtosis (2/500)-0.4498000.039400
Trim. Skewness (3/500)0.0887000.418000Trim. Kurtosis (3/500)-0.4938000.023800
Trim. Skewness (4/500)0.0837000.441200Trim. Kurtosis (4/500)-0.5329000.015000
Trim. Skewness (5/500)0.0783000.477600Trim. Kurtosis (5/500)-0.5724000.009400
Trim. Skewness (6/500)0.0714000.515600Trim. Kurtosis (6/500)-0.6040000.006200
Trim. Skewness (7/500)0.0644000.555200Trim. Kurtosis (7/500)-0.6380000.003800
Trim. Skewness (8/500)0.0566000.603000Trim. Kurtosis (8/500)-0.6705000.002400
Trim. Skewness (9/500)0.0508000.645600Trim. Kurtosis (9/500)-0.6944000.001800
Trim. Skewness (10/500)0.0494000.652800Trim. Kurtosis (10/500)-0.7049000.001600
Trim. Skewness (11/500)0.0480000.660000Trim. Kurtosis (11/500)-0.7160000.001200
Trim. Skewness (12/500)0.0463000.674400Trim. Kurtosis (12/500)-0.7248000.001200
Trim. Skewness (13/500)0.0441000.689200Trim. Kurtosis (13/500)-0.7347000.001000
Trim. Skewness (14/500)0.0431000.696600Trim. Kurtosis (14/500)-0.7430000.001000
Trim. Skewness (15/500)0.0418000.704000Trim. Kurtosis (15/500)-0.7522000.000800
Trim. Skewness (16/500)0.0409000.711400Trim. Kurtosis (16/500)-0.7619000.000600
Trim. Skewness (17/500)0.0397000.718800Trim. Kurtosis (17/500)-0.7724000.000600
Trim. Skewness (18/500)0.0388000.726400Trim. Kurtosis (18/500)-0.7826000.000600
Trim. Skewness (19/500)0.0378000.733800Trim. Kurtosis (19/500)-0.7942000.000400
Trim. Skewness (20/500)0.0372000.741400Trim. Kurtosis (20/500)-0.8044000.000400
Trim. Skewness (21/500)0.0357000.749000Trim. Kurtosis (21/500)-0.8145000.000400
Trim. Skewness (22/500)0.0330000.771800Trim. Kurtosis (22/500)-0.8232000.000400
Trim. Skewness (23/500)0.0300000.787200Trim. Kurtosis (23/500)-0.8322000.000200
Trim. Skewness (24/500)0.0264000.810400Trim. Kurtosis (24/500)-0.8407000.000200
Trim. Skewness (25/500)0.0224000.841400Trim. Kurtosis (25/500)-0.8498000.000200
Trim. Skewness (26/500)0.0202000.857200Trim. Kurtosis (26/500)-0.8563000.000200
Trim. Skewness (27/500)0.0181000.872800Trim. Kurtosis (27/500)-0.8630000.000200
Trim. Skewness (28/500)0.0159000.888600Trim. Kurtosis (28/500)-0.8703000.000200
Trim. Skewness (29/500)0.0130000.904400Trim. Kurtosis (29/500)-0.8779000.000200
Trim. Skewness (30/500)0.0097000.928200Trim. Kurtosis (30/500)-0.8853000.000200
Trim. Skewness (31/500)0.0068000.952200Trim. Kurtosis (31/500)-0.8922000.000200
Trim. Skewness (32/500)0.0040000.968000Trim. Kurtosis (32/500)-0.8991000.000200
Trim. Skewness (33/500)0.0018000.984000Trim. Kurtosis (33/500)-0.9057000.000200
Trim. Skewness (34/500)-0.0001000.992000Trim. Kurtosis (34/500)-0.9122000.000000
Trim. Skewness (35/500)-0.0019000.984000Trim. Kurtosis (35/500)-0.9184000.000000
Trim. Skewness (36/500)-0.0031000.976000Trim. Kurtosis (36/500)-0.9232000.000000
Trim. Skewness (37/500)-0.0042000.968000Trim. Kurtosis (37/500)-0.9285000.000000
Trim. Skewness (38/500)-0.0049000.960200Trim. Kurtosis (38/500)-0.9337000.000000
Trim. Skewness (39/500)-0.0058000.960200Trim. Kurtosis (39/500)-0.9398000.000000
Trim. Skewness (40/500)-0.0074000.944200Trim. Kurtosis (40/500)-0.9458000.000000


Figures (Output of Computation)

Input Parameters & R Code

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