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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 18:29:55 +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/t12910552924m9f32e7fqsxt4m.htm/, Retrieved Mon, 29 Apr 2024 09:46:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103021, Retrieved Mon, 29 Apr 2024 09:46:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact118

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 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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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16425.37
16428.21
16124.35
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16445.19
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15750.05
15942.39
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15718.67
15834.23
15634.67
15633.81
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15947.87
16024.85
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17875.65
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18108.79
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16764.62
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17419.2
17480.61
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17529
17498.6
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17588.26
17875.75
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18040.93
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17834.48
17760.91
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18240.3
18188.63
18087.48
18066.11
17849.28
17932.27
18138.36
18146.3
18149.9
18168.72
18221.48
18140.94
18261.98
18252.67
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17984.14
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18217.27
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18116.57
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17963.64
18002.03
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17702.09
17283.81
17289.3
17248.89
16870.98
16984.11
16979.86
16914.46
16921.77
17029.28
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16764.09
16800.05
16844.61
16475.61
16148.49
15273.68
15732.48
15901.34
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16316.32
16248.97
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16012.83
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16569.09
16524.93
16420.47
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16257
16122.16
15764.97
15877.67
15797.6
15821.19
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15801.8
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16413.79
16312.61
16401.73
16435.74
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16785.69
16845.96
17046.78
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16737.63
16870.4
16517.48
16268.92
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15583.42
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14837.66
14888.77
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15153.78
15513.74
15680.67
15628.97
15480.19
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15956.37
15924.39
16044.72
15932.26
15536.52
15514.51
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15030.51
15031.6
15257
15552.59
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15564.69
15307.78
14691.41
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14528.67
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13972.63

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.28419e+8FISHER 4th Cent. Mom.1.80255e+12
FISHER beta 10.024080FISHER beta 22.319976
FISHER gamma 1-0.155176FISHER gamma 2-0.680024
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.416561FISHER Test 2-3.103872
FISHER Test 1 Probability0.155600FISHER Test 2 Probability0.001800
Pearson 20.200370
Yule using Quartile definition:Weighted Average at Xnp0.161138
Yule using Quartile definition:Weighted Average at X(n+1)p0.162332
Yule using Quartile definition:Empirical Distribution Function0.161138
Yule using Quartile definition:Empirical Distribution Function - Averaging0.162139
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161947
Yule using Quartile definition:Closest Observation0.161138
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161947
Yule using Quartile definition:MS Excel (old versions)0.162524
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.155644Kurtosis (small sample)-0.674777
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.425077TEST 1 (small sample)-3.095222
TEST 1 Prob. (small sample)0.152800TEST 1 Prob. (small sample)0.002000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.28419e+8 & FISHER 4th Cent. Mom.1.80255e+12 \tabularnewline FISHER beta 10.024080 & FISHER beta 22.319976 \tabularnewline FISHER gamma 1-0.155176 & FISHER gamma 2-0.680024 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-1.416561 & FISHER Test 2-3.103872 \tabularnewline FISHER Test 1 Probability0.155600 & FISHER Test 2 Probability0.001800 \tabularnewline Pearson 20.200370 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.161138 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.162332 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.161138 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.162139 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161947 & & \tabularnewline Yule using Quartile definition:Closest Observation0.161138 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161947 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.162524 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.155644 & Kurtosis (small sample)-0.674777 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-1.425077 & TEST 1 (small sample)-3.095222 \tabularnewline TEST 1 Prob. (small sample)0.152800 & TEST 1 Prob. (small sample)0.002000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103021&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]-1.28419e+8[/C][C]FISHER 4th Cent. Mom.[/C]1.80255e+12[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.024080[/C][C]FISHER beta 2[/C]2.319976[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.155176[/C][C]FISHER gamma 2[/C]-0.680024[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]-1.416561[/C][C]FISHER Test 2[/C]-3.103872[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.155600[/C][C]FISHER Test 2 Probability[/C]0.001800[/C][/ROW] [ROW][C]Pearson 2[/C]0.200370[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.161138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.162332[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.161138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.162139[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.161947[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.161138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.161947[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.162524[/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]-0.155644[/C][C]Kurtosis (small sample)[/C]-0.674777[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-1.425077[/C][C]TEST 1 (small sample)[/C]-3.095222[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.152800[/C][C]TEST 1 Prob. (small sample)[/C]0.002000[/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=103021&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103021&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.-1.28419e+8FISHER 4th Cent. Mom.1.80255e+12
FISHER beta 10.024080FISHER beta 22.319976
FISHER gamma 1-0.155176FISHER gamma 2-0.680024
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.416561FISHER Test 2-3.103872
FISHER Test 1 Probability0.155600FISHER Test 2 Probability0.001800
Pearson 20.200370
Yule using Quartile definition:Weighted Average at Xnp0.161138
Yule using Quartile definition:Weighted Average at X(n+1)p0.162332
Yule using Quartile definition:Empirical Distribution Function0.161138
Yule using Quartile definition:Empirical Distribution Function - Averaging0.162139
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.161947
Yule using Quartile definition:Closest Observation0.161138
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.161947
Yule using Quartile definition:MS Excel (old versions)0.162524
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.155644Kurtosis (small sample)-0.674777
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.425077TEST 1 (small sample)-3.095222
TEST 1 Prob. (small sample)0.152800TEST 1 Prob. (small sample)0.002000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1556000.152800Trim. Kurtosis (0/500)-0.6748000.002000
Trim. Skewness (1/500)-0.1376000.207600Trim. Kurtosis (1/500)-0.7178000.001000
Trim. Skewness (2/500)-0.1234000.258400Trim. Kurtosis (2/500)-0.7499000.000600
Trim. Skewness (3/500)-0.1117000.307800Trim. Kurtosis (3/500)-0.7748000.000400
Trim. Skewness (4/500)-0.1023000.352400Trim. Kurtosis (4/500)-0.7948000.000200
Trim. Skewness (5/500)-0.0943000.389800Trim. Kurtosis (5/500)-0.8107000.000200
Trim. Skewness (6/500)-0.0872000.429600Trim. Kurtosis (6/500)-0.8250000.000200
Trim. Skewness (7/500)-0.0806000.465400Trim. Kurtosis (7/500)-0.8389000.000200
Trim. Skewness (8/500)-0.0744000.502800Trim. Kurtosis (8/500)-0.8526000.000200
Trim. Skewness (9/500)-0.0673000.541800Trim. Kurtosis (9/500)-0.8675000.000000
Trim. Skewness (10/500)-0.0605000.582400Trim. Kurtosis (10/500)-0.8824000.000000
Trim. Skewness (11/500)-0.0551000.617000Trim. Kurtosis (11/500)-0.8939000.000000
Trim. Skewness (12/500)-0.0501000.652800Trim. Kurtosis (12/500)-0.9047000.000000
Trim. Skewness (13/500)-0.0451000.681800Trim. Kurtosis (13/500)-0.9162000.000000
Trim. Skewness (14/500)-0.0396000.718800Trim. Kurtosis (14/500)-0.9288000.000000
Trim. Skewness (15/500)-0.0351000.749000Trim. Kurtosis (15/500)-0.9404000.000000
Trim. Skewness (16/500)-0.0319000.771800Trim. Kurtosis (16/500)-0.9499000.000000
Trim. Skewness (17/500)-0.0295000.787200Trim. Kurtosis (17/500)-0.9583000.000000
Trim. Skewness (18/500)-0.0277000.802600Trim. Kurtosis (18/500)-0.9665000.000000
Trim. Skewness (19/500)-0.0256000.818000Trim. Kurtosis (19/500)-0.9746000.000000
Trim. Skewness (20/500)-0.0234000.833600Trim. Kurtosis (20/500)-0.9836000.000000
Trim. Skewness (21/500)-0.0211000.849200Trim. Kurtosis (21/500)-0.9933000.000000
Trim. Skewness (22/500)-0.0186000.865000Trim. Kurtosis (22/500)-1.0026000.000000
Trim. Skewness (23/500)-0.0159000.888600Trim. Kurtosis (23/500)-1.0115000.000000
Trim. Skewness (24/500)-0.0130000.904400Trim. Kurtosis (24/500)-1.0209000.000000
Trim. Skewness (25/500)-0.0099000.928200Trim. Kurtosis (25/500)-1.0316000.000000
Trim. Skewness (26/500)-0.0066000.952200Trim. Kurtosis (26/500)-1.0434000.000000
Trim. Skewness (27/500)-0.0046000.968000Trim. Kurtosis (27/500)-1.0530000.000000
Trim. Skewness (28/500)-0.0034000.976000Trim. Kurtosis (28/500)-1.0599000.000000
Trim. Skewness (29/500)-0.0025000.976000Trim. Kurtosis (29/500)-1.0662000.000000
Trim. Skewness (30/500)-0.0012000.984000Trim. Kurtosis (30/500)-1.0728000.000000
Trim. Skewness (31/500)0.0002000.992000Trim. Kurtosis (31/500)-1.0794000.000000
Trim. Skewness (32/500)0.0004000.992000Trim. Kurtosis (32/500)-1.0846000.000000
Trim. Skewness (33/500)0.0007000.992000Trim. Kurtosis (33/500)-1.0902000.000000
Trim. Skewness (34/500)0.0006000.992000Trim. Kurtosis (34/500)-1.0956000.000000
Trim. Skewness (35/500)0.0008000.992000Trim. Kurtosis (35/500)-1.1010000.000000
Trim. Skewness (36/500)0.0010000.992000Trim. Kurtosis (36/500)-1.1072000.000000
Trim. Skewness (37/500)0.0012000.984000Trim. Kurtosis (37/500)-1.1136000.000000
Trim. Skewness (38/500)0.0019000.984000Trim. Kurtosis (38/500)-1.1202000.000000
Trim. Skewness (39/500)0.0026000.976000Trim. Kurtosis (39/500)-1.1263000.000000
Trim. Skewness (40/500)0.0038000.968000Trim. Kurtosis (40/500)-1.1325000.000000

\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)-0.1556000.152800 & Trim. Kurtosis (0/500)-0.6748000.002000 \tabularnewline Trim. Skewness (1/500)-0.1376000.207600 & Trim. Kurtosis (1/500)-0.7178000.001000 \tabularnewline Trim. Skewness (2/500)-0.1234000.258400 & Trim. Kurtosis (2/500)-0.7499000.000600 \tabularnewline Trim. Skewness (3/500)-0.1117000.307800 & Trim. Kurtosis (3/500)-0.7748000.000400 \tabularnewline Trim. Skewness (4/500)-0.1023000.352400 & Trim. Kurtosis (4/500)-0.7948000.000200 \tabularnewline Trim. Skewness (5/500)-0.0943000.389800 & Trim. Kurtosis (5/500)-0.8107000.000200 \tabularnewline Trim. Skewness (6/500)-0.0872000.429600 & Trim. Kurtosis (6/500)-0.8250000.000200 \tabularnewline Trim. Skewness (7/500)-0.0806000.465400 & Trim. Kurtosis (7/500)-0.8389000.000200 \tabularnewline Trim. Skewness (8/500)-0.0744000.502800 & Trim. Kurtosis (8/500)-0.8526000.000200 \tabularnewline Trim. Skewness (9/500)-0.0673000.541800 & Trim. Kurtosis (9/500)-0.8675000.000000 \tabularnewline Trim. Skewness (10/500)-0.0605000.582400 & Trim. Kurtosis (10/500)-0.8824000.000000 \tabularnewline Trim. Skewness (11/500)-0.0551000.617000 & Trim. Kurtosis (11/500)-0.8939000.000000 \tabularnewline Trim. Skewness (12/500)-0.0501000.652800 & Trim. Kurtosis (12/500)-0.9047000.000000 \tabularnewline Trim. Skewness (13/500)-0.0451000.681800 & Trim. Kurtosis (13/500)-0.9162000.000000 \tabularnewline Trim. Skewness (14/500)-0.0396000.718800 & Trim. Kurtosis (14/500)-0.9288000.000000 \tabularnewline Trim. Skewness (15/500)-0.0351000.749000 & Trim. Kurtosis (15/500)-0.9404000.000000 \tabularnewline Trim. Skewness (16/500)-0.0319000.771800 & Trim. Kurtosis (16/500)-0.9499000.000000 \tabularnewline Trim. Skewness (17/500)-0.0295000.787200 & Trim. Kurtosis (17/500)-0.9583000.000000 \tabularnewline Trim. Skewness (18/500)-0.0277000.802600 & Trim. Kurtosis (18/500)-0.9665000.000000 \tabularnewline Trim. Skewness (19/500)-0.0256000.818000 & Trim. Kurtosis (19/500)-0.9746000.000000 \tabularnewline Trim. Skewness (20/500)-0.0234000.833600 & Trim. Kurtosis (20/500)-0.9836000.000000 \tabularnewline Trim. Skewness (21/500)-0.0211000.849200 & Trim. Kurtosis (21/500)-0.9933000.000000 \tabularnewline Trim. Skewness (22/500)-0.0186000.865000 & Trim. Kurtosis (22/500)-1.0026000.000000 \tabularnewline Trim. Skewness (23/500)-0.0159000.888600 & Trim. Kurtosis (23/500)-1.0115000.000000 \tabularnewline Trim. Skewness (24/500)-0.0130000.904400 & Trim. Kurtosis (24/500)-1.0209000.000000 \tabularnewline Trim. Skewness (25/500)-0.0099000.928200 & Trim. Kurtosis (25/500)-1.0316000.000000 \tabularnewline Trim. Skewness (26/500)-0.0066000.952200 & Trim. Kurtosis (26/500)-1.0434000.000000 \tabularnewline Trim. Skewness (27/500)-0.0046000.968000 & Trim. Kurtosis (27/500)-1.0530000.000000 \tabularnewline Trim. Skewness (28/500)-0.0034000.976000 & Trim. Kurtosis (28/500)-1.0599000.000000 \tabularnewline Trim. Skewness (29/500)-0.0025000.976000 & Trim. Kurtosis (29/500)-1.0662000.000000 \tabularnewline Trim. Skewness (30/500)-0.0012000.984000 & Trim. Kurtosis (30/500)-1.0728000.000000 \tabularnewline Trim. Skewness (31/500)0.0002000.992000 & Trim. Kurtosis (31/500)-1.0794000.000000 \tabularnewline Trim. Skewness (32/500)0.0004000.992000 & Trim. Kurtosis (32/500)-1.0846000.000000 \tabularnewline Trim. Skewness (33/500)0.0007000.992000 & Trim. Kurtosis (33/500)-1.0902000.000000 \tabularnewline Trim. Skewness (34/500)0.0006000.992000 & Trim. Kurtosis (34/500)-1.0956000.000000 \tabularnewline Trim. Skewness (35/500)0.0008000.992000 & Trim. Kurtosis (35/500)-1.1010000.000000 \tabularnewline Trim. Skewness (36/500)0.0010000.992000 & Trim. Kurtosis (36/500)-1.1072000.000000 \tabularnewline Trim. Skewness (37/500)0.0012000.984000 & Trim. Kurtosis (37/500)-1.1136000.000000 \tabularnewline Trim. Skewness (38/500)0.0019000.984000 & Trim. Kurtosis (38/500)-1.1202000.000000 \tabularnewline Trim. Skewness (39/500)0.0026000.976000 & Trim. Kurtosis (39/500)-1.1263000.000000 \tabularnewline Trim. Skewness (40/500)0.0038000.968000 & Trim. Kurtosis (40/500)-1.1325000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103021&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]-0.155600[/C]0.152800[/C][C]Trim. Kurtosis (0/500)[/C]-0.674800[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.137600[/C]0.207600[/C][C]Trim. Kurtosis (1/500)[/C]-0.717800[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.123400[/C]0.258400[/C][C]Trim. Kurtosis (2/500)[/C]-0.749900[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.111700[/C]0.307800[/C][C]Trim. Kurtosis (3/500)[/C]-0.774800[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.102300[/C]0.352400[/C][C]Trim. Kurtosis (4/500)[/C]-0.794800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.094300[/C]0.389800[/C][C]Trim. Kurtosis (5/500)[/C]-0.810700[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.087200[/C]0.429600[/C][C]Trim. Kurtosis (6/500)[/C]-0.825000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.080600[/C]0.465400[/C][C]Trim. Kurtosis (7/500)[/C]-0.838900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.074400[/C]0.502800[/C][C]Trim. Kurtosis (8/500)[/C]-0.852600[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.067300[/C]0.541800[/C][C]Trim. Kurtosis (9/500)[/C]-0.867500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.060500[/C]0.582400[/C][C]Trim. Kurtosis (10/500)[/C]-0.882400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.055100[/C]0.617000[/C][C]Trim. Kurtosis (11/500)[/C]-0.893900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.050100[/C]0.652800[/C][C]Trim. Kurtosis (12/500)[/C]-0.904700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.045100[/C]0.681800[/C][C]Trim. Kurtosis (13/500)[/C]-0.916200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.039600[/C]0.718800[/C][C]Trim. Kurtosis (14/500)[/C]-0.928800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.035100[/C]0.749000[/C][C]Trim. Kurtosis (15/500)[/C]-0.940400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.031900[/C]0.771800[/C][C]Trim. Kurtosis (16/500)[/C]-0.949900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.029500[/C]0.787200[/C][C]Trim. Kurtosis (17/500)[/C]-0.958300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.027700[/C]0.802600[/C][C]Trim. Kurtosis (18/500)[/C]-0.966500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.025600[/C]0.818000[/C][C]Trim. Kurtosis (19/500)[/C]-0.974600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.023400[/C]0.833600[/C][C]Trim. Kurtosis (20/500)[/C]-0.983600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.021100[/C]0.849200[/C][C]Trim. Kurtosis (21/500)[/C]-0.993300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.018600[/C]0.865000[/C][C]Trim. Kurtosis (22/500)[/C]-1.002600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.015900[/C]0.888600[/C][C]Trim. Kurtosis (23/500)[/C]-1.011500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.013000[/C]0.904400[/C][C]Trim. Kurtosis (24/500)[/C]-1.020900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.009900[/C]0.928200[/C][C]Trim. Kurtosis (25/500)[/C]-1.031600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.006600[/C]0.952200[/C][C]Trim. Kurtosis (26/500)[/C]-1.043400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.004600[/C]0.968000[/C][C]Trim. Kurtosis (27/500)[/C]-1.053000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.003400[/C]0.976000[/C][C]Trim. Kurtosis (28/500)[/C]-1.059900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.002500[/C]0.976000[/C][C]Trim. Kurtosis (29/500)[/C]-1.066200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.001200[/C]0.984000[/C][C]Trim. Kurtosis (30/500)[/C]-1.072800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.000200[/C]0.992000[/C][C]Trim. Kurtosis (31/500)[/C]-1.079400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.000400[/C]0.992000[/C][C]Trim. Kurtosis (32/500)[/C]-1.084600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.000700[/C]0.992000[/C][C]Trim. Kurtosis (33/500)[/C]-1.090200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.000600[/C]0.992000[/C][C]Trim. Kurtosis (34/500)[/C]-1.095600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.000800[/C]0.992000[/C][C]Trim. Kurtosis (35/500)[/C]-1.101000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.001000[/C]0.992000[/C][C]Trim. Kurtosis (36/500)[/C]-1.107200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.001200[/C]0.984000[/C][C]Trim. Kurtosis (37/500)[/C]-1.113600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.001900[/C]0.984000[/C][C]Trim. Kurtosis (38/500)[/C]-1.120200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.002600[/C]0.976000[/C][C]Trim. Kurtosis (39/500)[/C]-1.126300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.003800[/C]0.968000[/C][C]Trim. Kurtosis (40/500)[/C]-1.132500[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103021&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103021&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)-0.1556000.152800Trim. Kurtosis (0/500)-0.6748000.002000
Trim. Skewness (1/500)-0.1376000.207600Trim. Kurtosis (1/500)-0.7178000.001000
Trim. Skewness (2/500)-0.1234000.258400Trim. Kurtosis (2/500)-0.7499000.000600
Trim. Skewness (3/500)-0.1117000.307800Trim. Kurtosis (3/500)-0.7748000.000400
Trim. Skewness (4/500)-0.1023000.352400Trim. Kurtosis (4/500)-0.7948000.000200
Trim. Skewness (5/500)-0.0943000.389800Trim. Kurtosis (5/500)-0.8107000.000200
Trim. Skewness (6/500)-0.0872000.429600Trim. Kurtosis (6/500)-0.8250000.000200
Trim. Skewness (7/500)-0.0806000.465400Trim. Kurtosis (7/500)-0.8389000.000200
Trim. Skewness (8/500)-0.0744000.502800Trim. Kurtosis (8/500)-0.8526000.000200
Trim. Skewness (9/500)-0.0673000.541800Trim. Kurtosis (9/500)-0.8675000.000000
Trim. Skewness (10/500)-0.0605000.582400Trim. Kurtosis (10/500)-0.8824000.000000
Trim. Skewness (11/500)-0.0551000.617000Trim. Kurtosis (11/500)-0.8939000.000000
Trim. Skewness (12/500)-0.0501000.652800Trim. Kurtosis (12/500)-0.9047000.000000
Trim. Skewness (13/500)-0.0451000.681800Trim. Kurtosis (13/500)-0.9162000.000000
Trim. Skewness (14/500)-0.0396000.718800Trim. Kurtosis (14/500)-0.9288000.000000
Trim. Skewness (15/500)-0.0351000.749000Trim. Kurtosis (15/500)-0.9404000.000000
Trim. Skewness (16/500)-0.0319000.771800Trim. Kurtosis (16/500)-0.9499000.000000
Trim. Skewness (17/500)-0.0295000.787200Trim. Kurtosis (17/500)-0.9583000.000000
Trim. Skewness (18/500)-0.0277000.802600Trim. Kurtosis (18/500)-0.9665000.000000
Trim. Skewness (19/500)-0.0256000.818000Trim. Kurtosis (19/500)-0.9746000.000000
Trim. Skewness (20/500)-0.0234000.833600Trim. Kurtosis (20/500)-0.9836000.000000
Trim. Skewness (21/500)-0.0211000.849200Trim. Kurtosis (21/500)-0.9933000.000000
Trim. Skewness (22/500)-0.0186000.865000Trim. Kurtosis (22/500)-1.0026000.000000
Trim. Skewness (23/500)-0.0159000.888600Trim. Kurtosis (23/500)-1.0115000.000000
Trim. Skewness (24/500)-0.0130000.904400Trim. Kurtosis (24/500)-1.0209000.000000
Trim. Skewness (25/500)-0.0099000.928200Trim. Kurtosis (25/500)-1.0316000.000000
Trim. Skewness (26/500)-0.0066000.952200Trim. Kurtosis (26/500)-1.0434000.000000
Trim. Skewness (27/500)-0.0046000.968000Trim. Kurtosis (27/500)-1.0530000.000000
Trim. Skewness (28/500)-0.0034000.976000Trim. Kurtosis (28/500)-1.0599000.000000
Trim. Skewness (29/500)-0.0025000.976000Trim. Kurtosis (29/500)-1.0662000.000000
Trim. Skewness (30/500)-0.0012000.984000Trim. Kurtosis (30/500)-1.0728000.000000
Trim. Skewness (31/500)0.0002000.992000Trim. Kurtosis (31/500)-1.0794000.000000
Trim. Skewness (32/500)0.0004000.992000Trim. Kurtosis (32/500)-1.0846000.000000
Trim. Skewness (33/500)0.0007000.992000Trim. Kurtosis (33/500)-1.0902000.000000
Trim. Skewness (34/500)0.0006000.992000Trim. Kurtosis (34/500)-1.0956000.000000
Trim. Skewness (35/500)0.0008000.992000Trim. Kurtosis (35/500)-1.1010000.000000
Trim. Skewness (36/500)0.0010000.992000Trim. Kurtosis (36/500)-1.1072000.000000
Trim. Skewness (37/500)0.0012000.984000Trim. Kurtosis (37/500)-1.1136000.000000
Trim. Skewness (38/500)0.0019000.984000Trim. Kurtosis (38/500)-1.1202000.000000
Trim. Skewness (39/500)0.0026000.976000Trim. Kurtosis (39/500)-1.1263000.000000
Trim. Skewness (40/500)0.0038000.968000Trim. Kurtosis (40/500)-1.1325000.000000


Figures (Output of Computation)

Input Parameters & R Code

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