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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 18:21:56 +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/t12910548344ipbcydotkrfy0f.htm/, Retrieved Mon, 29 Apr 2024 14:50:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103017, Retrieved Mon, 29 Apr 2024 14:50:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122

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] [5842cf9dd57f9603e676e11284d3404a] [Current]
-    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
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14944.77
15200.06
15271.13
15344.44
15547.43
15569.91
15650.88
15719.37
15787.97
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15464.77
15530.57
15520.39
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15742.3
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15429.73
15548.06
15517.01
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16475.81
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16429.45
16637.53
16830.44
16944.34
16912.15
16705.67
16577.77
16672.66
16742.85
16661.3
16868.04
17026.98
17013.93
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17133.99
17080.59
17140.78
16901.85
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16393.11
16615.55
16266.52
16313.36
15805.52
15864.56
15822.64
15696.89
15895.1
15963.77
15857.89
15645.27
15912.71
16016.23
15973.11
15816.55
15450.11
15628.69
15621.44
15234.42
15247.92
15435.08
15842.65
15768.86
15608.97
15659.36
15826.7
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15742.66
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16064.82
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16480.59
16583.86
16617.24
16916.77
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17032.75
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17222.14
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17290.01
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17373.05
17330.7
17007.88
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17088.39
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16955.45
16922.29
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17284.71
17392.27
17423.72
17513.88
17438.8
17258.51
17096.44
17145.76
16948.59
17075.4
17210.04
17183.45
17237.65
17387.21
17346.7
17512.96
17619.97
17600.65
17546.04
17308.08
17521.51
17530.57
17543.05
17543.05
17606.53
17629.21
17907.67
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17675.24
17823.7
17862.79
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17988.86
18010.2
18014.84
18048.09
17986.97
18113.55
18089.85
18153.41
18157.94
18353.74
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18324.35
18453.65
18714.78
18749.69
18936.55
18939.31
18811.24
18952.86
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18868.54
18878.42
19093
19154.07
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18954.63
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19250.79
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19260.3
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18639.53
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19026.36
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18739.99
18924.66
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18919.4
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20001.91
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20029.66
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19568.34
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20068.56
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20669.83
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20106.42
20430.16
20563.68
20455.62
20655.2
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20735.05
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20593.41
20132.25
20209.91
20538.42
20567.91
20567.91
20651.42
20809.23
20711.65
20507.95
20147.87
19651.51
19346.6
19442.01
18664.88
19058.56
18918.64
19175.17
19134.88
19442.42
19333.14
18836.93
18969.44
18953.5
19266.74
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19516.41
19690.25
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19765.85
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19553.87
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20209.71
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20667.29
20526.5
20318.98
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20388.49
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20844.78
20746.27
20468.21
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20868.15
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20927.75
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20520.66
20529.76
20469.59
20293.76
20634.47
20602.87
20729.59
20842.15
20818.61
20800.16
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20615.49
20636.39
20578.75
20867.26
21017.05
21582.89
21582.89
21684.67
21954.67
21999.91
21822.35
21803.57
21705.56
21938.22
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22218.55
22252.99
22531.74
22817.43
22885.84
22607.02
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23099.29
22953.94
23057.3
22841.92
23016.2
23291.9
23365.56
23472.88
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23211.69
22570.41
22739.9
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22455.36
22443.25
22538.44
21936.73
21907.99
22536.67
22439.36
21792.71
21891.1
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21375.72
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20387.13
21595.63
21729.35
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22966.97
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23577.73
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23020.6
23484.54
23984.14
23904.09
23886.07
24069.17
24050.4
23982.61
23999.7
23952.24
24310.14
24537.02
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24599.34
24576.85
25554.64
25701.13
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26430.29
26430.29
27065.15
27142.47
27142.47
28199.75
27479.94
26973.98
27831.52
27770.29
28228.04
28569.33
29133.02
28838.37
29540.78
28954.55
29298.71
29465.05
29465.05
28373.63
29376.86
29333.53
29854.49
30405.22
31586.9
31638.22
31352.58
31492.88
30468.34
28942.32
29438.13
29708.93
28760.22
28783.41
27665.73
27803.35
29166.01
28751.21
27614.43
27460.17
27771.21
26618.19
26004.92
26541.09
27626.62
27210.21
27371.24
28482.54
28643.61
28658.42
28879.59
29345.45
29558.92
28842.47
28501.1
29226.84
28521.06
27744.45
27563.64
26596.58
26732.87
27029.26
27017.09
27626.92
28128.8

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.6.69171e+10FISHER 4th Cent. Mom.8.64496e+14
FISHER beta 10.982975FISHER beta 23.145878
FISHER gamma 10.991451FISHER gamma 20.145878
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 19.050670FISHER Test 20.665837
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.502800
Pearson 20.576021
Yule using Quartile definition:Weighted Average at Xnp-0.010263
Yule using Quartile definition:Weighted Average at X(n+1)p-0.006176
Yule using Quartile definition:Empirical Distribution Function-0.010263
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.006005
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.005833
Yule using Quartile definition:Closest Observation-0.010263
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.005833
Yule using Quartile definition:MS Excel (old versions)-0.006347
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.994437Kurtosis (small sample)0.159444
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)9.105083TEST 1 (small sample)0.731373
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.459200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.6.69171e+10 & FISHER 4th Cent. Mom.8.64496e+14 \tabularnewline FISHER beta 10.982975 & FISHER beta 23.145878 \tabularnewline FISHER gamma 10.991451 & FISHER gamma 20.145878 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 19.050670 & FISHER Test 20.665837 \tabularnewline FISHER Test 1 Probability0.000000 & FISHER Test 2 Probability0.502800 \tabularnewline Pearson 20.576021 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.010263 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.006176 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.010263 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.006005 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.005833 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.010263 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.005833 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.006347 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.994437 & Kurtosis (small sample)0.159444 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)9.105083 & TEST 1 (small sample)0.731373 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.459200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103017&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]6.69171e+10[/C][C]FISHER 4th Cent. Mom.[/C]8.64496e+14[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.982975[/C][C]FISHER beta 2[/C]3.145878[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.991451[/C][C]FISHER gamma 2[/C]0.145878[/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]9.050670[/C][C]FISHER Test 2[/C]0.665837[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.000000[/C][C]FISHER Test 2 Probability[/C]0.502800[/C][/ROW] [ROW][C]Pearson 2[/C]0.576021[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.010263[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.006176[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.010263[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.006005[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.005833[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.010263[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.005833[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.006347[/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]0.994437[/C][C]Kurtosis (small sample)[/C]0.159444[/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]9.105083[/C][C]TEST 1 (small sample)[/C]0.731373[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][C]TEST 1 Prob. (small sample)[/C]0.459200[/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=103017&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103017&T=0

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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.6.69171e+10FISHER 4th Cent. Mom.8.64496e+14
FISHER beta 10.982975FISHER beta 23.145878
FISHER gamma 10.991451FISHER gamma 20.145878
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 19.050670FISHER Test 20.665837
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.502800
Pearson 20.576021
Yule using Quartile definition:Weighted Average at Xnp-0.010263
Yule using Quartile definition:Weighted Average at X(n+1)p-0.006176
Yule using Quartile definition:Empirical Distribution Function-0.010263
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.006005
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.005833
Yule using Quartile definition:Closest Observation-0.010263
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.005833
Yule using Quartile definition:MS Excel (old versions)-0.006347
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.994437Kurtosis (small sample)0.159444
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)9.105083TEST 1 (small sample)0.731373
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.459200
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.9944000.000000Trim. Kurtosis (0/500)0.1594000.459200
Trim. Skewness (1/500)0.9879000.000000Trim. Kurtosis (1/500)0.1422000.509200
Trim. Skewness (2/500)0.9802000.000000Trim. Kurtosis (2/500)0.1222000.575400
Trim. Skewness (3/500)0.9721000.000000Trim. Kurtosis (3/500)0.1010000.638400
Trim. Skewness (4/500)0.9641000.000000Trim. Kurtosis (4/500)0.0799000.711400
Trim. Skewness (5/500)0.9608000.000000Trim. Kurtosis (5/500)0.0779000.718800
Trim. Skewness (6/500)0.9573000.000000Trim. Kurtosis (6/500)0.0753000.726400
Trim. Skewness (7/500)0.9562000.000000Trim. Kurtosis (7/500)0.0818000.711400
Trim. Skewness (8/500)0.9554000.000000Trim. Kurtosis (8/500)0.0897000.681800
Trim. Skewness (9/500)0.9550000.000000Trim. Kurtosis (9/500)0.0991000.652800
Trim. Skewness (10/500)0.9543000.000000Trim. Kurtosis (10/500)0.1080000.624200
Trim. Skewness (11/500)0.9536000.000000Trim. Kurtosis (11/500)0.1174000.596200
Trim. Skewness (12/500)0.9526000.000000Trim. Kurtosis (12/500)0.1260000.568600
Trim. Skewness (13/500)0.9514000.000000Trim. Kurtosis (13/500)0.1340000.548400
Trim. Skewness (14/500)0.9502000.000000Trim. Kurtosis (14/500)0.1422000.522200
Trim. Skewness (15/500)0.9487000.000000Trim. Kurtosis (15/500)0.1500000.502800
Trim. Skewness (16/500)0.9468000.000000Trim. Kurtosis (16/500)0.1568000.484000
Trim. Skewness (17/500)0.9448000.000000Trim. Kurtosis (17/500)0.1632000.465400
Trim. Skewness (18/500)0.9426000.000000Trim. Kurtosis (18/500)0.1697000.447200
Trim. Skewness (19/500)0.9404000.000000Trim. Kurtosis (19/500)0.1762000.435400
Trim. Skewness (20/500)0.9378000.000000Trim. Kurtosis (20/500)0.1820000.418000
Trim. Skewness (21/500)0.9359000.000000Trim. Kurtosis (21/500)0.1903000.400800
Trim. Skewness (22/500)0.9335000.000000Trim. Kurtosis (22/500)0.1976000.384400
Trim. Skewness (23/500)0.9311000.000000Trim. Kurtosis (23/500)0.2049000.368200
Trim. Skewness (24/500)0.9283000.000000Trim. Kurtosis (24/500)0.2118000.352400
Trim. Skewness (25/500)0.9251000.000000Trim. Kurtosis (25/500)0.2172000.342200
Trim. Skewness (26/500)0.9217000.000000Trim. Kurtosis (26/500)0.2224000.332000
Trim. Skewness (27/500)0.9178000.000000Trim. Kurtosis (27/500)0.2265000.322200
Trim. Skewness (28/500)0.9133000.000000Trim. Kurtosis (28/500)0.2289000.322200
Trim. Skewness (29/500)0.9088000.000000Trim. Kurtosis (29/500)0.2317000.312400
Trim. Skewness (30/500)0.9038000.000000Trim. Kurtosis (30/500)0.2330000.312400
Trim. Skewness (31/500)0.8985000.000000Trim. Kurtosis (31/500)0.2340000.312400
Trim. Skewness (32/500)0.8929000.000000Trim. Kurtosis (32/500)0.2342000.312400
Trim. Skewness (33/500)0.8865000.000000Trim. Kurtosis (33/500)0.2324000.317400
Trim. Skewness (34/500)0.8795000.000000Trim. Kurtosis (34/500)0.2285000.327000
Trim. Skewness (35/500)0.8725000.000000Trim. Kurtosis (35/500)0.2253000.337000
Trim. Skewness (36/500)0.8658000.000000Trim. Kurtosis (36/500)0.2239000.337000
Trim. Skewness (37/500)0.8585000.000000Trim. Kurtosis (37/500)0.2206000.347200
Trim. Skewness (38/500)0.8509000.000000Trim. Kurtosis (38/500)0.2169000.357600
Trim. Skewness (39/500)0.8452000.000000Trim. Kurtosis (39/500)0.2199000.352400
Trim. Skewness (40/500)0.8388000.000000Trim. Kurtosis (40/500)0.2215000.347200

\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)0.9944000.000000 & Trim. Kurtosis (0/500)0.1594000.459200 \tabularnewline Trim. Skewness (1/500)0.9879000.000000 & Trim. Kurtosis (1/500)0.1422000.509200 \tabularnewline Trim. Skewness (2/500)0.9802000.000000 & Trim. Kurtosis (2/500)0.1222000.575400 \tabularnewline Trim. Skewness (3/500)0.9721000.000000 & Trim. Kurtosis (3/500)0.1010000.638400 \tabularnewline Trim. Skewness (4/500)0.9641000.000000 & Trim. Kurtosis (4/500)0.0799000.711400 \tabularnewline Trim. Skewness (5/500)0.9608000.000000 & Trim. Kurtosis (5/500)0.0779000.718800 \tabularnewline Trim. Skewness (6/500)0.9573000.000000 & Trim. Kurtosis (6/500)0.0753000.726400 \tabularnewline Trim. Skewness (7/500)0.9562000.000000 & Trim. Kurtosis (7/500)0.0818000.711400 \tabularnewline Trim. Skewness (8/500)0.9554000.000000 & Trim. Kurtosis (8/500)0.0897000.681800 \tabularnewline Trim. Skewness (9/500)0.9550000.000000 & Trim. Kurtosis (9/500)0.0991000.652800 \tabularnewline Trim. Skewness (10/500)0.9543000.000000 & Trim. Kurtosis (10/500)0.1080000.624200 \tabularnewline Trim. Skewness (11/500)0.9536000.000000 & Trim. Kurtosis (11/500)0.1174000.596200 \tabularnewline Trim. Skewness (12/500)0.9526000.000000 & Trim. Kurtosis (12/500)0.1260000.568600 \tabularnewline Trim. Skewness (13/500)0.9514000.000000 & Trim. Kurtosis (13/500)0.1340000.548400 \tabularnewline Trim. Skewness (14/500)0.9502000.000000 & Trim. Kurtosis (14/500)0.1422000.522200 \tabularnewline Trim. Skewness (15/500)0.9487000.000000 & Trim. Kurtosis (15/500)0.1500000.502800 \tabularnewline Trim. Skewness (16/500)0.9468000.000000 & Trim. Kurtosis (16/500)0.1568000.484000 \tabularnewline Trim. Skewness (17/500)0.9448000.000000 & Trim. Kurtosis (17/500)0.1632000.465400 \tabularnewline Trim. Skewness (18/500)0.9426000.000000 & Trim. Kurtosis (18/500)0.1697000.447200 \tabularnewline Trim. Skewness (19/500)0.9404000.000000 & Trim. Kurtosis (19/500)0.1762000.435400 \tabularnewline Trim. Skewness (20/500)0.9378000.000000 & Trim. Kurtosis (20/500)0.1820000.418000 \tabularnewline Trim. Skewness (21/500)0.9359000.000000 & Trim. Kurtosis (21/500)0.1903000.400800 \tabularnewline Trim. Skewness (22/500)0.9335000.000000 & Trim. Kurtosis (22/500)0.1976000.384400 \tabularnewline Trim. Skewness (23/500)0.9311000.000000 & Trim. Kurtosis (23/500)0.2049000.368200 \tabularnewline Trim. Skewness (24/500)0.9283000.000000 & Trim. Kurtosis (24/500)0.2118000.352400 \tabularnewline Trim. Skewness (25/500)0.9251000.000000 & Trim. Kurtosis (25/500)0.2172000.342200 \tabularnewline Trim. Skewness (26/500)0.9217000.000000 & Trim. Kurtosis (26/500)0.2224000.332000 \tabularnewline Trim. Skewness (27/500)0.9178000.000000 & Trim. Kurtosis (27/500)0.2265000.322200 \tabularnewline Trim. Skewness (28/500)0.9133000.000000 & Trim. Kurtosis (28/500)0.2289000.322200 \tabularnewline Trim. Skewness (29/500)0.9088000.000000 & Trim. Kurtosis (29/500)0.2317000.312400 \tabularnewline Trim. Skewness (30/500)0.9038000.000000 & Trim. Kurtosis (30/500)0.2330000.312400 \tabularnewline Trim. Skewness (31/500)0.8985000.000000 & Trim. Kurtosis (31/500)0.2340000.312400 \tabularnewline Trim. Skewness (32/500)0.8929000.000000 & Trim. Kurtosis (32/500)0.2342000.312400 \tabularnewline Trim. Skewness (33/500)0.8865000.000000 & Trim. Kurtosis (33/500)0.2324000.317400 \tabularnewline Trim. Skewness (34/500)0.8795000.000000 & Trim. Kurtosis (34/500)0.2285000.327000 \tabularnewline Trim. Skewness (35/500)0.8725000.000000 & Trim. Kurtosis (35/500)0.2253000.337000 \tabularnewline Trim. Skewness (36/500)0.8658000.000000 & Trim. Kurtosis (36/500)0.2239000.337000 \tabularnewline Trim. Skewness (37/500)0.8585000.000000 & Trim. Kurtosis (37/500)0.2206000.347200 \tabularnewline Trim. Skewness (38/500)0.8509000.000000 & Trim. Kurtosis (38/500)0.2169000.357600 \tabularnewline Trim. Skewness (39/500)0.8452000.000000 & Trim. Kurtosis (39/500)0.2199000.352400 \tabularnewline Trim. Skewness (40/500)0.8388000.000000 & Trim. Kurtosis (40/500)0.2215000.347200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103017&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]0.994400[/C]0.000000[/C][C]Trim. Kurtosis (0/500)[/C]0.159400[/C]0.459200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]0.987900[/C]0.000000[/C][C]Trim. Kurtosis (1/500)[/C]0.142200[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]0.980200[/C]0.000000[/C][C]Trim. Kurtosis (2/500)[/C]0.122200[/C]0.575400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]0.972100[/C]0.000000[/C][C]Trim. Kurtosis (3/500)[/C]0.101000[/C]0.638400[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]0.964100[/C]0.000000[/C][C]Trim. Kurtosis (4/500)[/C]0.079900[/C]0.711400[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]0.960800[/C]0.000000[/C][C]Trim. Kurtosis (5/500)[/C]0.077900[/C]0.718800[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]0.957300[/C]0.000000[/C][C]Trim. Kurtosis (6/500)[/C]0.075300[/C]0.726400[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]0.956200[/C]0.000000[/C][C]Trim. Kurtosis (7/500)[/C]0.081800[/C]0.711400[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]0.955400[/C]0.000000[/C][C]Trim. Kurtosis (8/500)[/C]0.089700[/C]0.681800[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]0.955000[/C]0.000000[/C][C]Trim. Kurtosis (9/500)[/C]0.099100[/C]0.652800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]0.954300[/C]0.000000[/C][C]Trim. Kurtosis (10/500)[/C]0.108000[/C]0.624200[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]0.953600[/C]0.000000[/C][C]Trim. Kurtosis (11/500)[/C]0.117400[/C]0.596200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]0.952600[/C]0.000000[/C][C]Trim. Kurtosis (12/500)[/C]0.126000[/C]0.568600[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]0.951400[/C]0.000000[/C][C]Trim. Kurtosis (13/500)[/C]0.134000[/C]0.548400[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]0.950200[/C]0.000000[/C][C]Trim. Kurtosis (14/500)[/C]0.142200[/C]0.522200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]0.948700[/C]0.000000[/C][C]Trim. Kurtosis (15/500)[/C]0.150000[/C]0.502800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]0.946800[/C]0.000000[/C][C]Trim. Kurtosis (16/500)[/C]0.156800[/C]0.484000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]0.944800[/C]0.000000[/C][C]Trim. Kurtosis (17/500)[/C]0.163200[/C]0.465400[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]0.942600[/C]0.000000[/C][C]Trim. Kurtosis (18/500)[/C]0.169700[/C]0.447200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]0.940400[/C]0.000000[/C][C]Trim. Kurtosis (19/500)[/C]0.176200[/C]0.435400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]0.937800[/C]0.000000[/C][C]Trim. Kurtosis (20/500)[/C]0.182000[/C]0.418000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]0.935900[/C]0.000000[/C][C]Trim. Kurtosis (21/500)[/C]0.190300[/C]0.400800[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]0.933500[/C]0.000000[/C][C]Trim. Kurtosis (22/500)[/C]0.197600[/C]0.384400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]0.931100[/C]0.000000[/C][C]Trim. Kurtosis (23/500)[/C]0.204900[/C]0.368200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]0.928300[/C]0.000000[/C][C]Trim. Kurtosis (24/500)[/C]0.211800[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]0.925100[/C]0.000000[/C][C]Trim. Kurtosis (25/500)[/C]0.217200[/C]0.342200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]0.921700[/C]0.000000[/C][C]Trim. Kurtosis (26/500)[/C]0.222400[/C]0.332000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]0.917800[/C]0.000000[/C][C]Trim. Kurtosis (27/500)[/C]0.226500[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]0.913300[/C]0.000000[/C][C]Trim. Kurtosis (28/500)[/C]0.228900[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]0.908800[/C]0.000000[/C][C]Trim. Kurtosis (29/500)[/C]0.231700[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]0.903800[/C]0.000000[/C][C]Trim. Kurtosis (30/500)[/C]0.233000[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]0.898500[/C]0.000000[/C][C]Trim. Kurtosis (31/500)[/C]0.234000[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]0.892900[/C]0.000000[/C][C]Trim. Kurtosis (32/500)[/C]0.234200[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]0.886500[/C]0.000000[/C][C]Trim. Kurtosis (33/500)[/C]0.232400[/C]0.317400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]0.879500[/C]0.000000[/C][C]Trim. Kurtosis (34/500)[/C]0.228500[/C]0.327000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]0.872500[/C]0.000000[/C][C]Trim. Kurtosis (35/500)[/C]0.225300[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]0.865800[/C]0.000000[/C][C]Trim. Kurtosis (36/500)[/C]0.223900[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]0.858500[/C]0.000000[/C][C]Trim. Kurtosis (37/500)[/C]0.220600[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]0.850900[/C]0.000000[/C][C]Trim. Kurtosis (38/500)[/C]0.216900[/C]0.357600[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]0.845200[/C]0.000000[/C][C]Trim. Kurtosis (39/500)[/C]0.219900[/C]0.352400[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]0.838800[/C]0.000000[/C][C]Trim. Kurtosis (40/500)[/C]0.221500[/C]0.347200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103017&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103017&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)0.9944000.000000Trim. Kurtosis (0/500)0.1594000.459200
Trim. Skewness (1/500)0.9879000.000000Trim. Kurtosis (1/500)0.1422000.509200
Trim. Skewness (2/500)0.9802000.000000Trim. Kurtosis (2/500)0.1222000.575400
Trim. Skewness (3/500)0.9721000.000000Trim. Kurtosis (3/500)0.1010000.638400
Trim. Skewness (4/500)0.9641000.000000Trim. Kurtosis (4/500)0.0799000.711400
Trim. Skewness (5/500)0.9608000.000000Trim. Kurtosis (5/500)0.0779000.718800
Trim. Skewness (6/500)0.9573000.000000Trim. Kurtosis (6/500)0.0753000.726400
Trim. Skewness (7/500)0.9562000.000000Trim. Kurtosis (7/500)0.0818000.711400
Trim. Skewness (8/500)0.9554000.000000Trim. Kurtosis (8/500)0.0897000.681800
Trim. Skewness (9/500)0.9550000.000000Trim. Kurtosis (9/500)0.0991000.652800
Trim. Skewness (10/500)0.9543000.000000Trim. Kurtosis (10/500)0.1080000.624200
Trim. Skewness (11/500)0.9536000.000000Trim. Kurtosis (11/500)0.1174000.596200
Trim. Skewness (12/500)0.9526000.000000Trim. Kurtosis (12/500)0.1260000.568600
Trim. Skewness (13/500)0.9514000.000000Trim. Kurtosis (13/500)0.1340000.548400
Trim. Skewness (14/500)0.9502000.000000Trim. Kurtosis (14/500)0.1422000.522200
Trim. Skewness (15/500)0.9487000.000000Trim. Kurtosis (15/500)0.1500000.502800
Trim. Skewness (16/500)0.9468000.000000Trim. Kurtosis (16/500)0.1568000.484000
Trim. Skewness (17/500)0.9448000.000000Trim. Kurtosis (17/500)0.1632000.465400
Trim. Skewness (18/500)0.9426000.000000Trim. Kurtosis (18/500)0.1697000.447200
Trim. Skewness (19/500)0.9404000.000000Trim. Kurtosis (19/500)0.1762000.435400
Trim. Skewness (20/500)0.9378000.000000Trim. Kurtosis (20/500)0.1820000.418000
Trim. Skewness (21/500)0.9359000.000000Trim. Kurtosis (21/500)0.1903000.400800
Trim. Skewness (22/500)0.9335000.000000Trim. Kurtosis (22/500)0.1976000.384400
Trim. Skewness (23/500)0.9311000.000000Trim. Kurtosis (23/500)0.2049000.368200
Trim. Skewness (24/500)0.9283000.000000Trim. Kurtosis (24/500)0.2118000.352400
Trim. Skewness (25/500)0.9251000.000000Trim. Kurtosis (25/500)0.2172000.342200
Trim. Skewness (26/500)0.9217000.000000Trim. Kurtosis (26/500)0.2224000.332000
Trim. Skewness (27/500)0.9178000.000000Trim. Kurtosis (27/500)0.2265000.322200
Trim. Skewness (28/500)0.9133000.000000Trim. Kurtosis (28/500)0.2289000.322200
Trim. Skewness (29/500)0.9088000.000000Trim. Kurtosis (29/500)0.2317000.312400
Trim. Skewness (30/500)0.9038000.000000Trim. Kurtosis (30/500)0.2330000.312400
Trim. Skewness (31/500)0.8985000.000000Trim. Kurtosis (31/500)0.2340000.312400
Trim. Skewness (32/500)0.8929000.000000Trim. Kurtosis (32/500)0.2342000.312400
Trim. Skewness (33/500)0.8865000.000000Trim. Kurtosis (33/500)0.2324000.317400
Trim. Skewness (34/500)0.8795000.000000Trim. Kurtosis (34/500)0.2285000.327000
Trim. Skewness (35/500)0.8725000.000000Trim. Kurtosis (35/500)0.2253000.337000
Trim. Skewness (36/500)0.8658000.000000Trim. Kurtosis (36/500)0.2239000.337000
Trim. Skewness (37/500)0.8585000.000000Trim. Kurtosis (37/500)0.2206000.347200
Trim. Skewness (38/500)0.8509000.000000Trim. Kurtosis (38/500)0.2169000.357600
Trim. Skewness (39/500)0.8452000.000000Trim. Kurtosis (39/500)0.2199000.352400
Trim. Skewness (40/500)0.8388000.000000Trim. Kurtosis (40/500)0.2215000.347200


Figures (Output of Computation)

Input Parameters & R Code

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