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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 19:07:18 +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/t1291143920o26xc5nks4lmg83.htm/, Retrieved Mon, 29 Apr 2024 10:25:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103767, Retrieved Mon, 29 Apr 2024 10:25:01 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact141

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] [b659239b537e56f17142ee5c56ad6265]
-    D      [Skewness and Kurtosis] [] [2010-11-30 19:07:18] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10,84
11,12
10,65
10,96
11,31
11,15
10,95
11,00
11,38
11,41
11,70
11,76
11,71
12,02
12,24
11,90
11,22
11,07
10,67
10,56
10,47
10,69
10,76
10,78
10,73
10,85
11,53
11,25
11,58
11,31
11,49
11,63
11,39
11,57
11,54
11,28
11,46
11,35
10,85
11,10
10,95
10,89
11,08
10,81
10,88
10,30
10,49
10,78
10,91
10,50
10,46
10,49
10,40
10,56
10,35
10,27
10,29
9,97
10,12
9,49
9,36
9,08
9,09
9,51
9,39
9,52
9,63
9,87
10,00
9,97
10,18
10,06
9,78
9,75
9,70
9,88
10,35
10,79
10,70
10,91
10,91
10,69
10,88
10,48
10,55
10,58
10,70
10,90
10,71
10,59
9,47
9,57
9,46
9,45
9,96
9,96
10,24
9,87
10,09
9,76
9,49
8,81
8,87
9,00
8,88
9,00
9,73
9,72
9,48
9,87
10,03
10,15
10,22
10,20
10,30
10,43
10,39
10,60
10,44
9,61
9,76
9,68
9,95
10,45
10,45
10,08
10,66
10,80
10,28
10,79
10,51
11,36
11,02
11,78
11,87
12,34
12,31
12,80
13,18
12,83
12,98
12,11
12,50
13,20
13,49
14,32
14,08
14,56
13,74
13,66
14,27
14,44
14,14
15,17
15,38
14,83
15,09
15,72
15,45
14,86
14,67
14,59
14,68
14,90
15,30
14,98
14,70
14,29
14,45
14,54
14,27
14,43
14,13
14,33
14,15
14,02
14,37
14,35
14,00
14,00
13,98
13,77
13,95
13,78
13,70
13,67
13,27
13,24
13,04
12,91
12,50
11,99
12,21
12,09
12,36
12,41
12,41
12,41
12,39
11,95
11,98
11,94
11,83
11,67
11,98
11,66
12,12
12,14
12,51
12,21
12,93
13,18
12,98
13,42
13,01
13,86
14,35
14,69
14,50
14,67
14,63
14,55
15,00
14,31
14,05
14,33
14,28
13,83
13,45
13,44
13,52
13,47
13,50
13,31
13,42
13,36
13,17
12,95
13,21
12,82
12,97
13,01
12,80
12,71
12,66
12,76
12,97
12,60
12,87
13,10
13,09
12,70
13,27
13,27
13,35
13,21
13,47
13,80
14,04
14,01
13,72
13,61
14,01
13,77
13,98
13,32
13,26
13,07
13,22
13,01
13,12
13,70
12,93
13,93
14,55
14,83
14,76
15,75
15,80
15,82
15,24
15,59
15,42
14,33
14,50
14,52
14,55
14,26
13,87
13,96
13,19
13,43
14,18
14,28
14,52
13,66
13,84
14,48
14,90
14,27
14,47
14,22
14,58
13,75
13,55
13,63
13,42
13,10
12,80
12,44
12,39
12,14
11,93
12,72
12,87
12,80
13,11
13,28
13,46
13,69
13,34
13,08
13,08
13,06
13,88
14,35
14,33
13,53
13,95
14,40
14,07
14,46
14,46
14,03
13,66
13,48
12,72
13,04
12,96
12,98
13,01
12,20
12,18
12,51
12,03
12,15
11,39
11,17
10,75
10,15
10,14
9,84
10,41
10,92
11,38
12,05
11,40
11,66
11,71
11,29
11,02
10,72
10,37
11,69
11,46
11,28
11,54
12,20
12,28
12,37
11,76
11,62
11,43
11,80
11,36
10,50
10,72
10,82
10,14
9,69
9,33
9,55
9,31
9,52
9,63
10,09
10,16
8,62
9,21
8,96
10,09
10,81
11,93
10,35
11,19
10,72
11,28
9,61
10,03
9,90
9,30
9,21
9,58
9,46
8,79
8,55
7,87
8,65
8,33
8,33
8,02
8,63
8,18
6,71
6,56
7,36
7,56
7,40
6,92
6,65
6,09
6,80
7,25
6,82
6,68
7,04
5,46
5,70
5,94
5,24
5,10
5,29
4,97
4,64
4,42
4,19
4,34
4,26
4,70
4,12
3,95
4,41
4,67
4,89
4,58
3,99
4,54
4,73
5,08
5,20
5,71
5,82
5,74
5,50
6,59
6,63
5,81
5,45
5,46
5,37
5,25
5,50
6,17
5,42
5,04
5,32
5,52
5,91
5,62
6,62
6,74
7,08
7,88
8,17
8,69
8,72
8,87
9,66
8,99
8,95
8,03
7,63
7,14
7,25
7,24
7,13
7,51
7,58
7,78
8,09
8,13
7,21
7,47
7,20
7,96
7,84
8,17
8,04
7,14
7,37

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-13.767922FISHER 4th Cent. Mom.162.572011
FISHER beta 10.411652FISHER beta 22.726308
FISHER gamma 1-0.641601FISHER gamma 2-0.273692
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-5.856993FISHER Test 2-1.249226
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.211200
Pearson 2-0.267985
Yule using Quartile definition:Weighted Average at Xnp0.071038
Yule using Quartile definition:Weighted Average at X(n+1)p0.072938
Yule using Quartile definition:Empirical Distribution Function0.071038
Yule using Quartile definition:Empirical Distribution Function - Averaging0.072306
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.071672
Yule using Quartile definition:Closest Observation0.071038
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.071672
Yule using Quartile definition:MS Excel (old versions)0.073569
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.643534Kurtosis (small sample)-0.264352
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-5.892205TEST 1 (small sample)-1.212589
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.222400
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-13.767922 & FISHER 4th Cent. Mom.162.572011 \tabularnewline FISHER beta 10.411652 & FISHER beta 22.726308 \tabularnewline FISHER gamma 1-0.641601 & FISHER gamma 2-0.273692 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-5.856993 & FISHER Test 2-1.249226 \tabularnewline FISHER Test 1 Probability0.000000 & FISHER Test 2 Probability0.211200 \tabularnewline Pearson 2-0.267985 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.071038 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.072938 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.071038 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.072306 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.071672 & & \tabularnewline Yule using Quartile definition:Closest Observation0.071038 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.071672 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.073569 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.643534 & Kurtosis (small sample)-0.264352 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-5.892205 & TEST 1 (small sample)-1.212589 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.222400 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103767&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]-13.767922[/C][C]FISHER 4th Cent. Mom.[/C]162.572011[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.411652[/C][C]FISHER beta 2[/C]2.726308[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.641601[/C][C]FISHER gamma 2[/C]-0.273692[/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]-5.856993[/C][C]FISHER Test 2[/C]-1.249226[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.000000[/C][C]FISHER Test 2 Probability[/C]0.211200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.267985[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.071038[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.072938[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.071038[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.072306[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.071672[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.071038[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.071672[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.073569[/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]-0.643534[/C][C]Kurtosis (small sample)[/C]-0.264352[/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]-5.892205[/C][C]TEST 1 (small sample)[/C]-1.212589[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][C]TEST 1 Prob. (small sample)[/C]0.222400[/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=103767&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103767&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.-13.767922FISHER 4th Cent. Mom.162.572011
FISHER beta 10.411652FISHER beta 22.726308
FISHER gamma 1-0.641601FISHER gamma 2-0.273692
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-5.856993FISHER Test 2-1.249226
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.211200
Pearson 2-0.267985
Yule using Quartile definition:Weighted Average at Xnp0.071038
Yule using Quartile definition:Weighted Average at X(n+1)p0.072938
Yule using Quartile definition:Empirical Distribution Function0.071038
Yule using Quartile definition:Empirical Distribution Function - Averaging0.072306
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.071672
Yule using Quartile definition:Closest Observation0.071038
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.071672
Yule using Quartile definition:MS Excel (old versions)0.073569
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.643534Kurtosis (small sample)-0.264352
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-5.892205TEST 1 (small sample)-1.212589
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.222400
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.6435000.000000Trim. Kurtosis (0/500)-0.2644000.222400
Trim. Skewness (1/500)-0.6419000.000000Trim. Kurtosis (1/500)-0.2715000.211200
Trim. Skewness (2/500)-0.6402000.000000Trim. Kurtosis (2/500)-0.2795000.200600
Trim. Skewness (3/500)-0.6389000.000000Trim. Kurtosis (3/500)-0.2857000.190200
Trim. Skewness (4/500)-0.6377000.000000Trim. Kurtosis (4/500)-0.2918000.183600
Trim. Skewness (5/500)-0.6359000.000000Trim. Kurtosis (5/500)-0.2975000.173800
Trim. Skewness (6/500)-0.6336000.000000Trim. Kurtosis (6/500)-0.3025000.167600
Trim. Skewness (7/500)-0.6313000.000000Trim. Kurtosis (7/500)-0.3072000.164600
Trim. Skewness (8/500)-0.6284000.000000Trim. Kurtosis (8/500)-0.3133000.155600
Trim. Skewness (9/500)-0.6257000.000000Trim. Kurtosis (9/500)-0.3176000.149800
Trim. Skewness (10/500)-0.6226000.000000Trim. Kurtosis (10/500)-0.3224000.147000
Trim. Skewness (11/500)-0.6193000.000000Trim. Kurtosis (11/500)-0.3272000.141600
Trim. Skewness (12/500)-0.6152000.000000Trim. Kurtosis (12/500)-0.3327000.136200
Trim. Skewness (13/500)-0.6105000.000000Trim. Kurtosis (13/500)-0.3390000.128600
Trim. Skewness (14/500)-0.6054000.000000Trim. Kurtosis (14/500)-0.3463000.121200
Trim. Skewness (15/500)-0.6009000.000000Trim. Kurtosis (15/500)-0.3505000.118800
Trim. Skewness (16/500)-0.5967000.000000Trim. Kurtosis (16/500)-0.3540000.114200
Trim. Skewness (17/500)-0.5925000.000000Trim. Kurtosis (17/500)-0.3570000.111800
Trim. Skewness (18/500)-0.5881000.000000Trim. Kurtosis (18/500)-0.3603000.109600
Trim. Skewness (19/500)-0.5833000.000000Trim. Kurtosis (19/500)-0.3647000.107400
Trim. Skewness (20/500)-0.5787000.000000Trim. Kurtosis (20/500)-0.3676000.105200
Trim. Skewness (21/500)-0.5736000.000000Trim. Kurtosis (21/500)-0.3709000.103200
Trim. Skewness (22/500)-0.5681000.000000Trim. Kurtosis (22/500)-0.3754000.099000
Trim. Skewness (23/500)-0.5624000.000000Trim. Kurtosis (23/500)-0.3804000.095000
Trim. Skewness (24/500)-0.5564000.000000Trim. Kurtosis (24/500)-0.3861000.091000
Trim. Skewness (25/500)-0.5503000.000000Trim. Kurtosis (25/500)-0.3920000.087200
Trim. Skewness (26/500)-0.5440000.000000Trim. Kurtosis (26/500)-0.3981000.083600
Trim. Skewness (27/500)-0.5372000.000000Trim. Kurtosis (27/500)-0.4050000.078400
Trim. Skewness (28/500)-0.5297000.000000Trim. Kurtosis (28/500)-0.4136000.073400
Trim. Skewness (29/500)-0.5215000.000000Trim. Kurtosis (29/500)-0.4244000.065800
Trim. Skewness (30/500)-0.5129000.000000Trim. Kurtosis (30/500)-0.4360000.060200
Trim. Skewness (31/500)-0.5036000.000000Trim. Kurtosis (31/500)-0.4501000.052400
Trim. Skewness (32/500)-0.4936000.000000Trim. Kurtosis (32/500)-0.4662000.045600
Trim. Skewness (33/500)-0.4841000.000000Trim. Kurtosis (33/500)-0.4809000.039400
Trim. Skewness (34/500)-0.4747000.000000Trim. Kurtosis (34/500)-0.4950000.034000
Trim. Skewness (35/500)-0.4646000.000000Trim. Kurtosis (35/500)-0.5114000.029200
Trim. Skewness (36/500)-0.4539000.000200Trim. Kurtosis (36/500)-0.5295000.024400
Trim. Skewness (37/500)-0.4432000.000200Trim. Kurtosis (37/500)-0.5476000.019800
Trim. Skewness (38/500)-0.4316000.000200Trim. Kurtosis (38/500)-0.5683000.016000
Trim. Skewness (39/500)-0.4203000.000400Trim. Kurtosis (39/500)-0.5881000.012800
Trim. Skewness (40/500)-0.4084000.000600Trim. Kurtosis (40/500)-0.6099000.010200

\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)-0.6435000.000000 & Trim. Kurtosis (0/500)-0.2644000.222400 \tabularnewline Trim. Skewness (1/500)-0.6419000.000000 & Trim. Kurtosis (1/500)-0.2715000.211200 \tabularnewline Trim. Skewness (2/500)-0.6402000.000000 & Trim. Kurtosis (2/500)-0.2795000.200600 \tabularnewline Trim. Skewness (3/500)-0.6389000.000000 & Trim. Kurtosis (3/500)-0.2857000.190200 \tabularnewline Trim. Skewness (4/500)-0.6377000.000000 & Trim. Kurtosis (4/500)-0.2918000.183600 \tabularnewline Trim. Skewness (5/500)-0.6359000.000000 & Trim. Kurtosis (5/500)-0.2975000.173800 \tabularnewline Trim. Skewness (6/500)-0.6336000.000000 & Trim. Kurtosis (6/500)-0.3025000.167600 \tabularnewline Trim. Skewness (7/500)-0.6313000.000000 & Trim. Kurtosis (7/500)-0.3072000.164600 \tabularnewline Trim. Skewness (8/500)-0.6284000.000000 & Trim. Kurtosis (8/500)-0.3133000.155600 \tabularnewline Trim. Skewness (9/500)-0.6257000.000000 & Trim. Kurtosis (9/500)-0.3176000.149800 \tabularnewline Trim. Skewness (10/500)-0.6226000.000000 & Trim. Kurtosis (10/500)-0.3224000.147000 \tabularnewline Trim. Skewness (11/500)-0.6193000.000000 & Trim. Kurtosis (11/500)-0.3272000.141600 \tabularnewline Trim. Skewness (12/500)-0.6152000.000000 & Trim. Kurtosis (12/500)-0.3327000.136200 \tabularnewline Trim. Skewness (13/500)-0.6105000.000000 & Trim. Kurtosis (13/500)-0.3390000.128600 \tabularnewline Trim. Skewness (14/500)-0.6054000.000000 & Trim. Kurtosis (14/500)-0.3463000.121200 \tabularnewline Trim. Skewness (15/500)-0.6009000.000000 & Trim. Kurtosis (15/500)-0.3505000.118800 \tabularnewline Trim. Skewness (16/500)-0.5967000.000000 & Trim. Kurtosis (16/500)-0.3540000.114200 \tabularnewline Trim. Skewness (17/500)-0.5925000.000000 & Trim. Kurtosis (17/500)-0.3570000.111800 \tabularnewline Trim. Skewness (18/500)-0.5881000.000000 & Trim. Kurtosis (18/500)-0.3603000.109600 \tabularnewline Trim. Skewness (19/500)-0.5833000.000000 & Trim. Kurtosis (19/500)-0.3647000.107400 \tabularnewline Trim. Skewness (20/500)-0.5787000.000000 & Trim. Kurtosis (20/500)-0.3676000.105200 \tabularnewline Trim. Skewness (21/500)-0.5736000.000000 & Trim. Kurtosis (21/500)-0.3709000.103200 \tabularnewline Trim. Skewness (22/500)-0.5681000.000000 & Trim. Kurtosis (22/500)-0.3754000.099000 \tabularnewline Trim. Skewness (23/500)-0.5624000.000000 & Trim. Kurtosis (23/500)-0.3804000.095000 \tabularnewline Trim. Skewness (24/500)-0.5564000.000000 & Trim. Kurtosis (24/500)-0.3861000.091000 \tabularnewline Trim. Skewness (25/500)-0.5503000.000000 & Trim. Kurtosis (25/500)-0.3920000.087200 \tabularnewline Trim. Skewness (26/500)-0.5440000.000000 & Trim. Kurtosis (26/500)-0.3981000.083600 \tabularnewline Trim. Skewness (27/500)-0.5372000.000000 & Trim. Kurtosis (27/500)-0.4050000.078400 \tabularnewline Trim. Skewness (28/500)-0.5297000.000000 & Trim. Kurtosis (28/500)-0.4136000.073400 \tabularnewline Trim. Skewness (29/500)-0.5215000.000000 & Trim. Kurtosis (29/500)-0.4244000.065800 \tabularnewline Trim. Skewness (30/500)-0.5129000.000000 & Trim. Kurtosis (30/500)-0.4360000.060200 \tabularnewline Trim. Skewness (31/500)-0.5036000.000000 & Trim. Kurtosis (31/500)-0.4501000.052400 \tabularnewline Trim. Skewness (32/500)-0.4936000.000000 & Trim. Kurtosis (32/500)-0.4662000.045600 \tabularnewline Trim. Skewness (33/500)-0.4841000.000000 & Trim. Kurtosis (33/500)-0.4809000.039400 \tabularnewline Trim. Skewness (34/500)-0.4747000.000000 & Trim. Kurtosis (34/500)-0.4950000.034000 \tabularnewline Trim. Skewness (35/500)-0.4646000.000000 & Trim. Kurtosis (35/500)-0.5114000.029200 \tabularnewline Trim. Skewness (36/500)-0.4539000.000200 & Trim. Kurtosis (36/500)-0.5295000.024400 \tabularnewline Trim. Skewness (37/500)-0.4432000.000200 & Trim. Kurtosis (37/500)-0.5476000.019800 \tabularnewline Trim. Skewness (38/500)-0.4316000.000200 & Trim. Kurtosis (38/500)-0.5683000.016000 \tabularnewline Trim. Skewness (39/500)-0.4203000.000400 & Trim. Kurtosis (39/500)-0.5881000.012800 \tabularnewline Trim. Skewness (40/500)-0.4084000.000600 & Trim. Kurtosis (40/500)-0.6099000.010200 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103767&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]-0.643500[/C]0.000000[/C][C]Trim. Kurtosis (0/500)[/C]-0.264400[/C]0.222400[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.641900[/C]0.000000[/C][C]Trim. Kurtosis (1/500)[/C]-0.271500[/C]0.211200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.640200[/C]0.000000[/C][C]Trim. Kurtosis (2/500)[/C]-0.279500[/C]0.200600[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.638900[/C]0.000000[/C][C]Trim. Kurtosis (3/500)[/C]-0.285700[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.637700[/C]0.000000[/C][C]Trim. Kurtosis (4/500)[/C]-0.291800[/C]0.183600[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.635900[/C]0.000000[/C][C]Trim. Kurtosis (5/500)[/C]-0.297500[/C]0.173800[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.633600[/C]0.000000[/C][C]Trim. Kurtosis (6/500)[/C]-0.302500[/C]0.167600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.631300[/C]0.000000[/C][C]Trim. Kurtosis (7/500)[/C]-0.307200[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.628400[/C]0.000000[/C][C]Trim. Kurtosis (8/500)[/C]-0.313300[/C]0.155600[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.625700[/C]0.000000[/C][C]Trim. Kurtosis (9/500)[/C]-0.317600[/C]0.149800[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.622600[/C]0.000000[/C][C]Trim. Kurtosis (10/500)[/C]-0.322400[/C]0.147000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.619300[/C]0.000000[/C][C]Trim. Kurtosis (11/500)[/C]-0.327200[/C]0.141600[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.615200[/C]0.000000[/C][C]Trim. Kurtosis (12/500)[/C]-0.332700[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.610500[/C]0.000000[/C][C]Trim. Kurtosis (13/500)[/C]-0.339000[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.605400[/C]0.000000[/C][C]Trim. Kurtosis (14/500)[/C]-0.346300[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.600900[/C]0.000000[/C][C]Trim. Kurtosis (15/500)[/C]-0.350500[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.596700[/C]0.000000[/C][C]Trim. Kurtosis (16/500)[/C]-0.354000[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.592500[/C]0.000000[/C][C]Trim. Kurtosis (17/500)[/C]-0.357000[/C]0.111800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.588100[/C]0.000000[/C][C]Trim. Kurtosis (18/500)[/C]-0.360300[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.583300[/C]0.000000[/C][C]Trim. Kurtosis (19/500)[/C]-0.364700[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.578700[/C]0.000000[/C][C]Trim. Kurtosis (20/500)[/C]-0.367600[/C]0.105200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.573600[/C]0.000000[/C][C]Trim. Kurtosis (21/500)[/C]-0.370900[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.568100[/C]0.000000[/C][C]Trim. Kurtosis (22/500)[/C]-0.375400[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.562400[/C]0.000000[/C][C]Trim. Kurtosis (23/500)[/C]-0.380400[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.556400[/C]0.000000[/C][C]Trim. Kurtosis (24/500)[/C]-0.386100[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.550300[/C]0.000000[/C][C]Trim. Kurtosis (25/500)[/C]-0.392000[/C]0.087200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.544000[/C]0.000000[/C][C]Trim. Kurtosis (26/500)[/C]-0.398100[/C]0.083600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.537200[/C]0.000000[/C][C]Trim. Kurtosis (27/500)[/C]-0.405000[/C]0.078400[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.529700[/C]0.000000[/C][C]Trim. Kurtosis (28/500)[/C]-0.413600[/C]0.073400[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.521500[/C]0.000000[/C][C]Trim. Kurtosis (29/500)[/C]-0.424400[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.512900[/C]0.000000[/C][C]Trim. Kurtosis (30/500)[/C]-0.436000[/C]0.060200[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.503600[/C]0.000000[/C][C]Trim. Kurtosis (31/500)[/C]-0.450100[/C]0.052400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.493600[/C]0.000000[/C][C]Trim. Kurtosis (32/500)[/C]-0.466200[/C]0.045600[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.484100[/C]0.000000[/C][C]Trim. Kurtosis (33/500)[/C]-0.480900[/C]0.039400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.474700[/C]0.000000[/C][C]Trim. Kurtosis (34/500)[/C]-0.495000[/C]0.034000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.464600[/C]0.000000[/C][C]Trim. Kurtosis (35/500)[/C]-0.511400[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.453900[/C]0.000200[/C][C]Trim. Kurtosis (36/500)[/C]-0.529500[/C]0.024400[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.443200[/C]0.000200[/C][C]Trim. Kurtosis (37/500)[/C]-0.547600[/C]0.019800[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.431600[/C]0.000200[/C][C]Trim. Kurtosis (38/500)[/C]-0.568300[/C]0.016000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.420300[/C]0.000400[/C][C]Trim. Kurtosis (39/500)[/C]-0.588100[/C]0.012800[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.408400[/C]0.000600[/C][C]Trim. Kurtosis (40/500)[/C]-0.609900[/C]0.010200[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103767&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103767&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)-0.6435000.000000Trim. Kurtosis (0/500)-0.2644000.222400
Trim. Skewness (1/500)-0.6419000.000000Trim. Kurtosis (1/500)-0.2715000.211200
Trim. Skewness (2/500)-0.6402000.000000Trim. Kurtosis (2/500)-0.2795000.200600
Trim. Skewness (3/500)-0.6389000.000000Trim. Kurtosis (3/500)-0.2857000.190200
Trim. Skewness (4/500)-0.6377000.000000Trim. Kurtosis (4/500)-0.2918000.183600
Trim. Skewness (5/500)-0.6359000.000000Trim. Kurtosis (5/500)-0.2975000.173800
Trim. Skewness (6/500)-0.6336000.000000Trim. Kurtosis (6/500)-0.3025000.167600
Trim. Skewness (7/500)-0.6313000.000000Trim. Kurtosis (7/500)-0.3072000.164600
Trim. Skewness (8/500)-0.6284000.000000Trim. Kurtosis (8/500)-0.3133000.155600
Trim. Skewness (9/500)-0.6257000.000000Trim. Kurtosis (9/500)-0.3176000.149800
Trim. Skewness (10/500)-0.6226000.000000Trim. Kurtosis (10/500)-0.3224000.147000
Trim. Skewness (11/500)-0.6193000.000000Trim. Kurtosis (11/500)-0.3272000.141600
Trim. Skewness (12/500)-0.6152000.000000Trim. Kurtosis (12/500)-0.3327000.136200
Trim. Skewness (13/500)-0.6105000.000000Trim. Kurtosis (13/500)-0.3390000.128600
Trim. Skewness (14/500)-0.6054000.000000Trim. Kurtosis (14/500)-0.3463000.121200
Trim. Skewness (15/500)-0.6009000.000000Trim. Kurtosis (15/500)-0.3505000.118800
Trim. Skewness (16/500)-0.5967000.000000Trim. Kurtosis (16/500)-0.3540000.114200
Trim. Skewness (17/500)-0.5925000.000000Trim. Kurtosis (17/500)-0.3570000.111800
Trim. Skewness (18/500)-0.5881000.000000Trim. Kurtosis (18/500)-0.3603000.109600
Trim. Skewness (19/500)-0.5833000.000000Trim. Kurtosis (19/500)-0.3647000.107400
Trim. Skewness (20/500)-0.5787000.000000Trim. Kurtosis (20/500)-0.3676000.105200
Trim. Skewness (21/500)-0.5736000.000000Trim. Kurtosis (21/500)-0.3709000.103200
Trim. Skewness (22/500)-0.5681000.000000Trim. Kurtosis (22/500)-0.3754000.099000
Trim. Skewness (23/500)-0.5624000.000000Trim. Kurtosis (23/500)-0.3804000.095000
Trim. Skewness (24/500)-0.5564000.000000Trim. Kurtosis (24/500)-0.3861000.091000
Trim. Skewness (25/500)-0.5503000.000000Trim. Kurtosis (25/500)-0.3920000.087200
Trim. Skewness (26/500)-0.5440000.000000Trim. Kurtosis (26/500)-0.3981000.083600
Trim. Skewness (27/500)-0.5372000.000000Trim. Kurtosis (27/500)-0.4050000.078400
Trim. Skewness (28/500)-0.5297000.000000Trim. Kurtosis (28/500)-0.4136000.073400
Trim. Skewness (29/500)-0.5215000.000000Trim. Kurtosis (29/500)-0.4244000.065800
Trim. Skewness (30/500)-0.5129000.000000Trim. Kurtosis (30/500)-0.4360000.060200
Trim. Skewness (31/500)-0.5036000.000000Trim. Kurtosis (31/500)-0.4501000.052400
Trim. Skewness (32/500)-0.4936000.000000Trim. Kurtosis (32/500)-0.4662000.045600
Trim. Skewness (33/500)-0.4841000.000000Trim. Kurtosis (33/500)-0.4809000.039400
Trim. Skewness (34/500)-0.4747000.000000Trim. Kurtosis (34/500)-0.4950000.034000
Trim. Skewness (35/500)-0.4646000.000000Trim. Kurtosis (35/500)-0.5114000.029200
Trim. Skewness (36/500)-0.4539000.000200Trim. Kurtosis (36/500)-0.5295000.024400
Trim. Skewness (37/500)-0.4432000.000200Trim. Kurtosis (37/500)-0.5476000.019800
Trim. Skewness (38/500)-0.4316000.000200Trim. Kurtosis (38/500)-0.5683000.016000
Trim. Skewness (39/500)-0.4203000.000400Trim. Kurtosis (39/500)-0.5881000.012800
Trim. Skewness (40/500)-0.4084000.000600Trim. Kurtosis (40/500)-0.6099000.010200


Figures (Output of Computation)

Input Parameters & R Code

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