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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 computationTue, 30 Nov 2010 18:24:16 +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/30/t129114149368e1bsnjy0sg4mz.htm/, Retrieved Mon, 29 Apr 2024 12:05:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103713, Retrieved Mon, 29 Apr 2024 12:05:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165

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] [Kurtosis analysis...] [2007-09-10 12:58:14] [34354a2f772eeadc2ea8c4c156a37515]
-  M D    [Skewness and Kurtosis] [] [2010-11-30 18:24:16] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:28:06] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:29:15] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:30:27] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:31:44] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:32:44] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:33:51] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:34:46] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:35:50] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:36:46] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:38:06] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:39:31] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:40:29] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:41:32] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:42:29] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:43:23] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:44:29] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:46:08] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:47:15] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:48:13] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:49:43] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:50:37] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:51:46] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:52:42] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:53:35] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:54:32] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:55:30] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:56:43] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:57:36] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:58:37] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 18:59:47] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:00:42] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:01:49] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:02:52] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:03:57] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:04:53] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:06:12] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:07:18] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:08:22] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:09:14] [b659239b537e56f17142ee5c56ad6265]
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:15:45] [b659239b537e56f17142ee5c56ad6265]
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:19:31] [b659239b537e56f17142ee5c56ad6265]
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:21:22] [b659239b537e56f17142ee5c56ad6265]
-  M D      [Quasi Random-Walk Identification] [] [2010-11-30 19:22:40] [b659239b537e56f17142ee5c56ad6265]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
48,86
47,41
51,43
48,81
48,73
49,14
49,52
50,44
49,38
51,80
52,27
50,47
48,77
51,34
48,03
48,81
50,16
49,77
48,17
48,97
51,28
46,93
49,91
53,51
52,15
53,11
49,78
55,41
48,11
49,83
50,63
51,25
49,75
50,06
51,25
49,26
54,00
53,14
51,01
50,31
51,37
51,18
49,26
52,68
48,79
52,75
52,31
53,45
49,36
46,55
47,93
50,04
50,82
47,08
49,38
46,55
51,42
49,89
51,32
48,76
50,95
51,52
52,92
50,03
51,25
54,80
52,22
49,84
50,15
45,77
52,22
49,66
46,66
48,43
47,30
48,76
50,27
52,70
49,90
50,20
49,53
49,91
50,75
54,81
50,77
49,98
50,79
47,74
52,73
51,08
49,33
47,18
50,09
47,81
51,11
51,26
50,24
49,25
50,91
51,20
50,83
49,48
47,73
53,39
47,48
51,62
51,51
50,41
49,67
50,63
50,86
49,79
50,47
49,00
50,83
49,12
48,34
51,30
49,15
47,28

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.267845FISHER 4th Cent. Mom.36.411062
FISHER beta 10.039988FISHER beta 23.102866
FISHER gamma 10.199969FISHER gamma 20.102866
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.894290FISHER Test 20.230016
FISHER Test 1 Probability0.368200FISHER Test 2 Probability0.810400
Pearson 20.139353
Yule using Quartile definition:Weighted Average at Xnp0.008850
Yule using Quartile definition:Weighted Average at X(n+1)p0.028953
Yule using Quartile definition:Empirical Distribution Function0.008850
Yule using Quartile definition:Empirical Distribution Function - Averaging0.040724
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.052874
Yule using Quartile definition:Closest Observation0.008850
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.052874
Yule using Quartile definition:MS Excel (old versions)0.017544
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.202510Kurtosis (small sample)0.159001
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.916837TEST 1 (small sample)0.362742
TEST 1 Prob. (small sample)0.357600TEST 1 Prob. (small sample)0.711400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.1.267845 & FISHER 4th Cent. Mom.36.411062 \tabularnewline FISHER beta 10.039988 & FISHER beta 23.102866 \tabularnewline FISHER gamma 10.199969 & FISHER gamma 20.102866 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 10.894290 & FISHER Test 20.230016 \tabularnewline FISHER Test 1 Probability0.368200 & FISHER Test 2 Probability0.810400 \tabularnewline Pearson 20.139353 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.008850 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.028953 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.008850 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.040724 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.052874 & & \tabularnewline Yule using Quartile definition:Closest Observation0.008850 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.052874 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.017544 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.202510 & Kurtosis (small sample)0.159001 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)0.916837 & TEST 1 (small sample)0.362742 \tabularnewline TEST 1 Prob. (small sample)0.357600 & TEST 1 Prob. (small sample)0.711400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103713&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]1.267845[/C][C]FISHER 4th Cent. Mom.[/C]36.411062[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.039988[/C][C]FISHER beta 2[/C]3.102866[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.199969[/C][C]FISHER gamma 2[/C]0.102866[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]0.894290[/C][C]FISHER Test 2[/C]0.230016[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.368200[/C][C]FISHER Test 2 Probability[/C]0.810400[/C][/ROW] [ROW][C]Pearson 2[/C]0.139353[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.008850[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.028953[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.008850[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.040724[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.052874[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.008850[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.052874[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.017544[/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]0.202510[/C][C]Kurtosis (small sample)[/C]0.159001[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]0.916837[/C][C]TEST 1 (small sample)[/C]0.362742[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.357600[/C][C]TEST 1 Prob. (small sample)[/C]0.711400[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103713&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103713&T=0

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


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

Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.267845FISHER 4th Cent. Mom.36.411062
FISHER beta 10.039988FISHER beta 23.102866
FISHER gamma 10.199969FISHER gamma 20.102866
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.894290FISHER Test 20.230016
FISHER Test 1 Probability0.368200FISHER Test 2 Probability0.810400
Pearson 20.139353
Yule using Quartile definition:Weighted Average at Xnp0.008850
Yule using Quartile definition:Weighted Average at X(n+1)p0.028953
Yule using Quartile definition:Empirical Distribution Function0.008850
Yule using Quartile definition:Empirical Distribution Function - Averaging0.040724
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.052874
Yule using Quartile definition:Closest Observation0.008850
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.052874
Yule using Quartile definition:MS Excel (old versions)0.017544
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.202510Kurtosis (small sample)0.159001
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.916837TEST 1 (small sample)0.362742
TEST 1 Prob. (small sample)0.357600TEST 1 Prob. (small sample)0.711400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2025000.357600Trim. Kurtosis (0/120)0.1590000.711400
Trim. Skewness (1/120)0.1672000.447200Trim. Kurtosis (1/120)-0.0613000.888600
Trim. Skewness (2/120)0.1175000.596200Trim. Kurtosis (2/120)-0.1553000.726400
Trim. Skewness (3/120)0.0478000.825800Trim. Kurtosis (3/120)-0.3495000.435400
Trim. Skewness (4/120)0.0309000.888600Trim. Kurtosis (4/120)-0.4256000.347200
Trim. Skewness (5/120)0.0291000.896600Trim. Kurtosis (5/120)-0.4377000.337000
Trim. Skewness (6/120)0.0201000.928200Trim. Kurtosis (6/120)-0.4544000.322200
Trim. Skewness (7/120)0.0054000.976000Trim. Kurtosis (7/120)-0.4836000.298400
Trim. Skewness (8/120)0.0007000.992000Trim. Kurtosis (8/120)-0.4955000.289200
Trim. Skewness (9/120)-0.0046000.984000Trim. Kurtosis (9/120)-0.5342000.258400
Trim. Skewness (10/120)-0.0034000.984000Trim. Kurtosis (10/120)-0.5646000.234000
Trim. Skewness (11/120)0.0077000.968000Trim. Kurtosis (11/120)-0.5945000.215000
Trim. Skewness (12/120)-0.0017000.992000Trim. Kurtosis (12/120)-0.6153000.204000
Trim. Skewness (13/120)-0.0119000.960200Trim. Kurtosis (13/120)-0.6682000.173800
Trim. Skewness (14/120)-0.0316000.896600Trim. Kurtosis (14/120)-0.7607000.126000
Trim. Skewness (15/120)-0.0242000.920400Trim. Kurtosis (15/120)-0.7995000.111800
Trim. Skewness (16/120)-0.0219000.928200Trim. Kurtosis (16/120)-0.8493000.093000
Trim. Skewness (17/120)-0.0228000.928200Trim. Kurtosis (17/120)-0.9167000.073400
Trim. Skewness (18/120)-0.0325000.896600Trim. Kurtosis (18/120)-1.0308000.046600
Trim. Skewness (19/120)-0.0592000.818000Trim. Kurtosis (19/120)-1.1516000.027800
Trim. Skewness (20/120)-0.0525000.841400Trim. Kurtosis (20/120)-1.2094000.022600
Trim. Skewness (21/120)-0.0581000.825800Trim. Kurtosis (21/120)-1.2040000.025000
Trim. Skewness (22/120)-0.0579000.833600Trim. Kurtosis (22/120)-1.1904000.028600
Trim. Skewness (23/120)-0.0560000.833600Trim. Kurtosis (23/120)-1.1820000.031600
Trim. Skewness (24/120)-0.0463000.865000Trim. Kurtosis (24/120)-1.1718000.035800
Trim. Skewness (25/120)-0.0347000.896600Trim. Kurtosis (25/120)-1.1660000.039400
Trim. Skewness (26/120)-0.0166000.952200Trim. Kurtosis (26/120)-1.1622000.042400
Trim. Skewness (27/120)0.0113000.968000Trim. Kurtosis (27/120)-1.1708000.043400
Trim. Skewness (28/120)0.0417000.888600Trim. Kurtosis (28/120)-1.1817000.044400
Trim. Skewness (29/120)0.0633000.833600Trim. Kurtosis (29/120)-1.1759000.048800
Trim. Skewness (30/120)0.0889000.771800Trim. Kurtosis (30/120)-1.1741000.053600
Trim. Skewness (31/120)0.1016000.741400Trim. Kurtosis (31/120)-1.1520000.061400
Trim. Skewness (32/120)0.1154000.711400Trim. Kurtosis (32/120)-1.1332000.070200
Trim. Skewness (33/120)0.1310000.681800Trim. Kurtosis (33/120)-1.1279000.076800
Trim. Skewness (34/120)0.1266000.696600Trim. Kurtosis (34/120)-1.1190000.083600
Trim. Skewness (35/120)0.1287000.696600Trim. Kurtosis (35/120)-1.1113000.093000
Trim. Skewness (36/120)0.1351000.689200Trim. Kurtosis (36/120)-1.1284000.093000
Trim. Skewness (37/120)0.1411000.681800Trim. Kurtosis (37/120)-1.1242000.101000
Trim. Skewness (38/120)0.1467000.674400Trim. Kurtosis (38/120)-1.1300000.105200
Trim. Skewness (39/120)0.1703000.638400Trim. Kurtosis (39/120)-1.1306000.114200
Trim. Skewness (40/120)0.2273000.541800Trim. Kurtosis (40/120)-1.1515000.114200

\begin{tabular}{lllllllll}
\hline

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

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/120)0.2025000.357600 & Trim. Kurtosis (0/120)0.1590000.711400 \tabularnewline Trim. Skewness (1/120)0.1672000.447200 & Trim. Kurtosis (1/120)-0.0613000.888600 \tabularnewline Trim. Skewness (2/120)0.1175000.596200 & Trim. Kurtosis (2/120)-0.1553000.726400 \tabularnewline Trim. Skewness (3/120)0.0478000.825800 & Trim. Kurtosis (3/120)-0.3495000.435400 \tabularnewline Trim. Skewness (4/120)0.0309000.888600 & Trim. Kurtosis (4/120)-0.4256000.347200 \tabularnewline Trim. Skewness (5/120)0.0291000.896600 & Trim. Kurtosis (5/120)-0.4377000.337000 \tabularnewline Trim. Skewness (6/120)0.0201000.928200 & Trim. Kurtosis (6/120)-0.4544000.322200 \tabularnewline Trim. Skewness (7/120)0.0054000.976000 & Trim. Kurtosis (7/120)-0.4836000.298400 \tabularnewline Trim. Skewness (8/120)0.0007000.992000 & Trim. Kurtosis (8/120)-0.4955000.289200 \tabularnewline Trim. Skewness (9/120)-0.0046000.984000 & Trim. Kurtosis (9/120)-0.5342000.258400 \tabularnewline Trim. Skewness (10/120)-0.0034000.984000 & Trim. Kurtosis (10/120)-0.5646000.234000 \tabularnewline Trim. Skewness (11/120)0.0077000.968000 & Trim. Kurtosis (11/120)-0.5945000.215000 \tabularnewline Trim. Skewness (12/120)-0.0017000.992000 & Trim. Kurtosis (12/120)-0.6153000.204000 \tabularnewline Trim. Skewness (13/120)-0.0119000.960200 & Trim. Kurtosis (13/120)-0.6682000.173800 \tabularnewline Trim. Skewness (14/120)-0.0316000.896600 & Trim. Kurtosis (14/120)-0.7607000.126000 \tabularnewline Trim. Skewness (15/120)-0.0242000.920400 & Trim. Kurtosis (15/120)-0.7995000.111800 \tabularnewline Trim. Skewness (16/120)-0.0219000.928200 & Trim. Kurtosis (16/120)-0.8493000.093000 \tabularnewline Trim. Skewness (17/120)-0.0228000.928200 & Trim. Kurtosis (17/120)-0.9167000.073400 \tabularnewline Trim. Skewness (18/120)-0.0325000.896600 & Trim. Kurtosis (18/120)-1.0308000.046600 \tabularnewline Trim. Skewness (19/120)-0.0592000.818000 & Trim. Kurtosis (19/120)-1.1516000.027800 \tabularnewline Trim. Skewness (20/120)-0.0525000.841400 & Trim. Kurtosis (20/120)-1.2094000.022600 \tabularnewline Trim. Skewness (21/120)-0.0581000.825800 & Trim. Kurtosis (21/120)-1.2040000.025000 \tabularnewline Trim. Skewness (22/120)-0.0579000.833600 & Trim. Kurtosis (22/120)-1.1904000.028600 \tabularnewline Trim. Skewness (23/120)-0.0560000.833600 & Trim. Kurtosis (23/120)-1.1820000.031600 \tabularnewline Trim. Skewness (24/120)-0.0463000.865000 & Trim. Kurtosis (24/120)-1.1718000.035800 \tabularnewline Trim. Skewness (25/120)-0.0347000.896600 & Trim. Kurtosis (25/120)-1.1660000.039400 \tabularnewline Trim. Skewness (26/120)-0.0166000.952200 & Trim. Kurtosis (26/120)-1.1622000.042400 \tabularnewline Trim. Skewness (27/120)0.0113000.968000 & Trim. Kurtosis (27/120)-1.1708000.043400 \tabularnewline Trim. Skewness (28/120)0.0417000.888600 & Trim. Kurtosis (28/120)-1.1817000.044400 \tabularnewline Trim. Skewness (29/120)0.0633000.833600 & Trim. Kurtosis (29/120)-1.1759000.048800 \tabularnewline Trim. Skewness (30/120)0.0889000.771800 & Trim. Kurtosis (30/120)-1.1741000.053600 \tabularnewline Trim. Skewness (31/120)0.1016000.741400 & Trim. Kurtosis (31/120)-1.1520000.061400 \tabularnewline Trim. Skewness (32/120)0.1154000.711400 & Trim. Kurtosis (32/120)-1.1332000.070200 \tabularnewline Trim. Skewness (33/120)0.1310000.681800 & Trim. Kurtosis (33/120)-1.1279000.076800 \tabularnewline Trim. Skewness (34/120)0.1266000.696600 & Trim. Kurtosis (34/120)-1.1190000.083600 \tabularnewline Trim. Skewness (35/120)0.1287000.696600 & Trim. Kurtosis (35/120)-1.1113000.093000 \tabularnewline Trim. Skewness (36/120)0.1351000.689200 & Trim. Kurtosis (36/120)-1.1284000.093000 \tabularnewline Trim. Skewness (37/120)0.1411000.681800 & Trim. Kurtosis (37/120)-1.1242000.101000 \tabularnewline Trim. Skewness (38/120)0.1467000.674400 & Trim. Kurtosis (38/120)-1.1300000.105200 \tabularnewline Trim. Skewness (39/120)0.1703000.638400 & Trim. Kurtosis (39/120)-1.1306000.114200 \tabularnewline Trim. Skewness (40/120)0.2273000.541800 & Trim. Kurtosis (40/120)-1.1515000.114200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103713&T=1

[TABLE]

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

[ROW][C]Skewness Measure (small sample)[/C]
Value[/C]Probability[/C]Kurtosis Measure (small sample)[/C]Value[/C]Probability[/C][/ROW] [ROW][C]Trim. Skewness (0/120)[/C]0.202500[/C]0.357600[/C][C]Trim. Kurtosis (0/120)[/C]0.159000[/C]0.711400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.167200[/C]0.447200[/C][C]Trim. Kurtosis (1/120)[/C]-0.061300[/C]0.888600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.117500[/C]0.596200[/C][C]Trim. Kurtosis (2/120)[/C]-0.155300[/C]0.726400[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.047800[/C]0.825800[/C][C]Trim. Kurtosis (3/120)[/C]-0.349500[/C]0.435400[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.030900[/C]0.888600[/C][C]Trim. Kurtosis (4/120)[/C]-0.425600[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.029100[/C]0.896600[/C][C]Trim. Kurtosis (5/120)[/C]-0.437700[/C]0.337000[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.020100[/C]0.928200[/C][C]Trim. Kurtosis (6/120)[/C]-0.454400[/C]0.322200[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.005400[/C]0.976000[/C][C]Trim. Kurtosis (7/120)[/C]-0.483600[/C]0.298400[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.000700[/C]0.992000[/C][C]Trim. Kurtosis (8/120)[/C]-0.495500[/C]0.289200[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]-0.004600[/C]0.984000[/C][C]Trim. Kurtosis (9/120)[/C]-0.534200[/C]0.258400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]-0.003400[/C]0.984000[/C][C]Trim. Kurtosis (10/120)[/C]-0.564600[/C]0.234000[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.007700[/C]0.968000[/C][C]Trim. Kurtosis (11/120)[/C]-0.594500[/C]0.215000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]-0.001700[/C]0.992000[/C][C]Trim. Kurtosis (12/120)[/C]-0.615300[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]-0.011900[/C]0.960200[/C][C]Trim. Kurtosis (13/120)[/C]-0.668200[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]-0.031600[/C]0.896600[/C][C]Trim. Kurtosis (14/120)[/C]-0.760700[/C]0.126000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]-0.024200[/C]0.920400[/C][C]Trim. Kurtosis (15/120)[/C]-0.799500[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]-0.021900[/C]0.928200[/C][C]Trim. Kurtosis (16/120)[/C]-0.849300[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]-0.022800[/C]0.928200[/C][C]Trim. Kurtosis (17/120)[/C]-0.916700[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]-0.032500[/C]0.896600[/C][C]Trim. Kurtosis (18/120)[/C]-1.030800[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]-0.059200[/C]0.818000[/C][C]Trim. Kurtosis (19/120)[/C]-1.151600[/C]0.027800[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]-0.052500[/C]0.841400[/C][C]Trim. Kurtosis (20/120)[/C]-1.209400[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]-0.058100[/C]0.825800[/C][C]Trim. Kurtosis (21/120)[/C]-1.204000[/C]0.025000[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]-0.057900[/C]0.833600[/C][C]Trim. Kurtosis (22/120)[/C]-1.190400[/C]0.028600[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]-0.056000[/C]0.833600[/C][C]Trim. Kurtosis (23/120)[/C]-1.182000[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]-0.046300[/C]0.865000[/C][C]Trim. Kurtosis (24/120)[/C]-1.171800[/C]0.035800[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]-0.034700[/C]0.896600[/C][C]Trim. Kurtosis (25/120)[/C]-1.166000[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]-0.016600[/C]0.952200[/C][C]Trim. Kurtosis (26/120)[/C]-1.162200[/C]0.042400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.011300[/C]0.968000[/C][C]Trim. Kurtosis (27/120)[/C]-1.170800[/C]0.043400[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.041700[/C]0.888600[/C][C]Trim. Kurtosis (28/120)[/C]-1.181700[/C]0.044400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.063300[/C]0.833600[/C][C]Trim. Kurtosis (29/120)[/C]-1.175900[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.088900[/C]0.771800[/C][C]Trim. Kurtosis (30/120)[/C]-1.174100[/C]0.053600[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.101600[/C]0.741400[/C][C]Trim. Kurtosis (31/120)[/C]-1.152000[/C]0.061400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.115400[/C]0.711400[/C][C]Trim. Kurtosis (32/120)[/C]-1.133200[/C]0.070200[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.131000[/C]0.681800[/C][C]Trim. Kurtosis (33/120)[/C]-1.127900[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.126600[/C]0.696600[/C][C]Trim. Kurtosis (34/120)[/C]-1.119000[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.128700[/C]0.696600[/C][C]Trim. Kurtosis (35/120)[/C]-1.111300[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.135100[/C]0.689200[/C][C]Trim. Kurtosis (36/120)[/C]-1.128400[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.141100[/C]0.681800[/C][C]Trim. Kurtosis (37/120)[/C]-1.124200[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.146700[/C]0.674400[/C][C]Trim. Kurtosis (38/120)[/C]-1.130000[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.170300[/C]0.638400[/C][C]Trim. Kurtosis (39/120)[/C]-1.130600[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.227300[/C]0.541800[/C][C]Trim. Kurtosis (40/120)[/C]-1.151500[/C]0.114200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103713&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103713&T=1

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

Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2025000.357600Trim. Kurtosis (0/120)0.1590000.711400
Trim. Skewness (1/120)0.1672000.447200Trim. Kurtosis (1/120)-0.0613000.888600
Trim. Skewness (2/120)0.1175000.596200Trim. Kurtosis (2/120)-0.1553000.726400
Trim. Skewness (3/120)0.0478000.825800Trim. Kurtosis (3/120)-0.3495000.435400
Trim. Skewness (4/120)0.0309000.888600Trim. Kurtosis (4/120)-0.4256000.347200
Trim. Skewness (5/120)0.0291000.896600Trim. Kurtosis (5/120)-0.4377000.337000
Trim. Skewness (6/120)0.0201000.928200Trim. Kurtosis (6/120)-0.4544000.322200
Trim. Skewness (7/120)0.0054000.976000Trim. Kurtosis (7/120)-0.4836000.298400
Trim. Skewness (8/120)0.0007000.992000Trim. Kurtosis (8/120)-0.4955000.289200
Trim. Skewness (9/120)-0.0046000.984000Trim. Kurtosis (9/120)-0.5342000.258400
Trim. Skewness (10/120)-0.0034000.984000Trim. Kurtosis (10/120)-0.5646000.234000
Trim. Skewness (11/120)0.0077000.968000Trim. Kurtosis (11/120)-0.5945000.215000
Trim. Skewness (12/120)-0.0017000.992000Trim. Kurtosis (12/120)-0.6153000.204000
Trim. Skewness (13/120)-0.0119000.960200Trim. Kurtosis (13/120)-0.6682000.173800
Trim. Skewness (14/120)-0.0316000.896600Trim. Kurtosis (14/120)-0.7607000.126000
Trim. Skewness (15/120)-0.0242000.920400Trim. Kurtosis (15/120)-0.7995000.111800
Trim. Skewness (16/120)-0.0219000.928200Trim. Kurtosis (16/120)-0.8493000.093000
Trim. Skewness (17/120)-0.0228000.928200Trim. Kurtosis (17/120)-0.9167000.073400
Trim. Skewness (18/120)-0.0325000.896600Trim. Kurtosis (18/120)-1.0308000.046600
Trim. Skewness (19/120)-0.0592000.818000Trim. Kurtosis (19/120)-1.1516000.027800
Trim. Skewness (20/120)-0.0525000.841400Trim. Kurtosis (20/120)-1.2094000.022600
Trim. Skewness (21/120)-0.0581000.825800Trim. Kurtosis (21/120)-1.2040000.025000
Trim. Skewness (22/120)-0.0579000.833600Trim. Kurtosis (22/120)-1.1904000.028600
Trim. Skewness (23/120)-0.0560000.833600Trim. Kurtosis (23/120)-1.1820000.031600
Trim. Skewness (24/120)-0.0463000.865000Trim. Kurtosis (24/120)-1.1718000.035800
Trim. Skewness (25/120)-0.0347000.896600Trim. Kurtosis (25/120)-1.1660000.039400
Trim. Skewness (26/120)-0.0166000.952200Trim. Kurtosis (26/120)-1.1622000.042400
Trim. Skewness (27/120)0.0113000.968000Trim. Kurtosis (27/120)-1.1708000.043400
Trim. Skewness (28/120)0.0417000.888600Trim. Kurtosis (28/120)-1.1817000.044400
Trim. Skewness (29/120)0.0633000.833600Trim. Kurtosis (29/120)-1.1759000.048800
Trim. Skewness (30/120)0.0889000.771800Trim. Kurtosis (30/120)-1.1741000.053600
Trim. Skewness (31/120)0.1016000.741400Trim. Kurtosis (31/120)-1.1520000.061400
Trim. Skewness (32/120)0.1154000.711400Trim. Kurtosis (32/120)-1.1332000.070200
Trim. Skewness (33/120)0.1310000.681800Trim. Kurtosis (33/120)-1.1279000.076800
Trim. Skewness (34/120)0.1266000.696600Trim. Kurtosis (34/120)-1.1190000.083600
Trim. Skewness (35/120)0.1287000.696600Trim. Kurtosis (35/120)-1.1113000.093000
Trim. Skewness (36/120)0.1351000.689200Trim. Kurtosis (36/120)-1.1284000.093000
Trim. Skewness (37/120)0.1411000.681800Trim. Kurtosis (37/120)-1.1242000.101000
Trim. Skewness (38/120)0.1467000.674400Trim. Kurtosis (38/120)-1.1300000.105200
Trim. Skewness (39/120)0.1703000.638400Trim. Kurtosis (39/120)-1.1306000.114200
Trim. Skewness (40/120)0.2273000.541800Trim. Kurtosis (40/120)-1.1515000.114200


Figures (Output of Computation)

Input Parameters & R Code

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