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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 19:03:57 +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/t1291143719y7odu5s619kthza.htm/, Retrieved Mon, 29 Apr 2024 12:42:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103762, Retrieved Mon, 29 Apr 2024 12:42:54 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

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 19:03:57] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
8,2
8,18
8,13
8,16
7,94
7,7
7,9
8,03
8,05
7,93
7,84
7,88
7,7
7,64
7,52
7,55
7,42
7,31
7,45
7,33
7,29
7,13
6,85
6,77
6,7
6,7
6,61
6,75
6,67
6,55
6,49
6,56
6,48
6,45
6,42
6,39
6,37
6,17
6,08
6,15
6,09
6,04
6
5,87
5,89
5,74
5,75
5,5
5,77
5,65
5,65
5,74
5,53
5,19
5,1
5,09
5,06
5,24
5,31
5,05
5,34
5,17
5,22
5,1
5,13
5,16
5,1
5,07
5,14
5,05
5,05
5,07
5,05
5
5
5,07
5,18
5,25
5,22
5,32
5,39
5,61
5,8
5,68
5,81
5,62
5,45
5,48
5,72
5,64
5,34
5,8
5,44
5,1
5,26
5,09
4,9
5,14
4,91
4,96
4,81
4,78
4,95
4,9
5,03
5,05
5,15
5,45
5
4,95
4,95
5
5,14
5,18
5,1
5,18
5,13
5,14
5,16
5,03
5
5,3
5,05
5,15
5,19
5,22
5,2
5,25
5,21
5,24
5,28
5,36
5,21
5,4
5,55
5,32
5,38
5,35
5,43
5,41
5,39
5,11
5,31
5,26
5,56
5,6
5,84
5,85
5,81
5,77
5,87
5,8
5,81
5,87
5,75
5,7
5,92
5,97
6
6
5,94
6
6
6
5,9
5,94
6
5,9
5,7
5,6
5,68
5,8
5,85
5,77
5,67
5,9
5,99
6
6
5,87
5,88
5,9
5,88
5,91
5,95
5,95
5,9
5,98
5,98
5,73
5,75
5,72
5,93
6,04
6,1
6,05
6,2
6,1
6,2
6,34
6,35
6,29
6,31
6,4
6,34
6,24
6,43
6,33
6,28
6,2
6,3
6,49
6,54
6,6
6,24
6,45
6,59
6,55
6,62
6,74
6,2
6,05
6,2
5,83
5,99
6,16
5,7
5,75
6,04
6,11
6,26
6,47
5,52
5,27
5,3
5,28
5,1
5,16
5,27
5,22
5,09
5,09
5,2
4,78
4,23
4,1
4,3
4,75
5,23
5,15
5,05
4,69
4,5
4,4
4,64
4,59
4,6
4,6
4,6
4,5
4,12
4,05
4
4
4,05
4,1
4,18
4,26
4,26
4,15
4,15
4,1
4,15
4,26
4,46
4,4
4,22
4,25
4,35
4,32
4,3
4,24
4,15
4,16
4,2
4,2
4,23
4,22
4,15
4,12
4,1
4,16
4,15
4,28
4,13
4,25
4,17
4
4
4
3,77
4,1
4
4,31
4,4
3,85
3,65
3,39
3,35
3,17
3,24
3,04
3,29
3,28
3,01
3,05
3,07
3,22
2,91
3,01
3,01
3,04
2,86
2,6
2,79
2,78
2,86
2,99
3,05
3
3,1
3
2,74
3,01
2,9
2,65
2,65
2,8
2,94
2,87
2,85
2,86
2,85
3
2,81
2,85
2,89
2,9
2,82
2,81
2,9
2,95
2,97
2,99
3
3,01
2,9
2,95
2,75
2,75
2,67
2,53
2,67
2,55
2,51
2,43
2,53
2,49
2,5
2,6
2,43
2,65
2,47
2,26
2,26
2,21
2,45
2,45
2,45
2,5
2,3
2,45
2,45
2,49
2,5
2,35
2,32
2
2,01
1,83
2,15
2,2
1,92
1,8
1,64
1,7
1,78
1,8
1,35
1,46
1,41
1,41
1,61
1,61
1,43
1,41
1,49
1,59
1,59
1,73
1,61
1,6
1,6
1,6
1,61
1,6
1,6
1,45
1,65
1,58
1,62
1,62
1,56
1,56
1,4
1,43
1,55
1,52
1,45
1,4
1,4
1,4
1,4
1,5
1,49
1,41
1,5
1,54
1,57
1,4
1,6
1,68
1,5
1,5
1,7
1,73
1,5
1,73
1,65
1,55
1,55
1,65
1,45
1,7
1,6
1,6
1,52
1,52
1,55
1,61
1,89
1,9
1,9
1,6
1,8
1,97
1,78
1,69
1,6
1,89
1,51
1,7
1,89
1,72
1,56
1,55
1,62
1,82
1,86
1,42
1,66
1,5
1,68
1,58
1,47
1,63
1,5
1,55
1,41
1,59
1,65
1,48
2,01
1,92
1,93
2,24
1,98
1,95
1,95
2

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.544009FISHER 4th Cent. Mom.21.829304
FISHER beta 10.007090FISHER beta 21.814042
FISHER gamma 1-0.084200FISHER gamma 2-1.185958
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.768637FISHER Test 2-5.413134
FISHER Test 1 Probability0.441200FISHER Test 2 Probability0.000000
Pearson 2-0.648765
Yule using Quartile definition:Weighted Average at Xnp-0.315152
Yule using Quartile definition:Weighted Average at X(n+1)p-0.315152
Yule using Quartile definition:Empirical Distribution Function-0.315152
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.315152
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.315152
Yule using Quartile definition:Closest Observation-0.315152
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.315152
Yule using Quartile definition:MS Excel (old versions)-0.315152
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.084454Kurtosis (small sample)-1.185807
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.773258TEST 1 (small sample)-5.439330
TEST 1 Prob. (small sample)0.435400TEST 1 Prob. (small sample)0.000000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-0.544009 & FISHER 4th Cent. Mom.21.829304 \tabularnewline FISHER beta 10.007090 & FISHER beta 21.814042 \tabularnewline FISHER gamma 1-0.084200 & FISHER gamma 2-1.185958 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-0.768637 & FISHER Test 2-5.413134 \tabularnewline FISHER Test 1 Probability0.441200 & FISHER Test 2 Probability0.000000 \tabularnewline Pearson 2-0.648765 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.315152 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.315152 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.315152 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.315152 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.315152 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.315152 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.315152 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.315152 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.084454 & Kurtosis (small sample)-1.185807 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-0.773258 & TEST 1 (small sample)-5.439330 \tabularnewline TEST 1 Prob. (small sample)0.435400 & TEST 1 Prob. (small sample)0.000000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103762&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]-0.544009[/C][C]FISHER 4th Cent. Mom.[/C]21.829304[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.007090[/C][C]FISHER beta 2[/C]1.814042[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.084200[/C][C]FISHER gamma 2[/C]-1.185958[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.109545[/C][C]FISHER gamma 2 (S.E.)[/C]0.219089[/C][/ROW] [ROW][C]FISHER Test 1[/C]-0.768637[/C][C]FISHER Test 2[/C]-5.413134[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.441200[/C][C]FISHER Test 2 Probability[/C]0.000000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.648765[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.315152[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.315152[/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]-0.084454[/C][C]Kurtosis (small sample)[/C]-1.185807[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.109218[/C][C]Kurtosis S.E. (small sample)[/C]0.218006[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]-0.773258[/C][C]TEST 1 (small sample)[/C]-5.439330[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.435400[/C][C]TEST 1 Prob. (small sample)[/C]0.000000[/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=103762&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103762&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.-0.544009FISHER 4th Cent. Mom.21.829304
FISHER beta 10.007090FISHER beta 21.814042
FISHER gamma 1-0.084200FISHER gamma 2-1.185958
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.768637FISHER Test 2-5.413134
FISHER Test 1 Probability0.441200FISHER Test 2 Probability0.000000
Pearson 2-0.648765
Yule using Quartile definition:Weighted Average at Xnp-0.315152
Yule using Quartile definition:Weighted Average at X(n+1)p-0.315152
Yule using Quartile definition:Empirical Distribution Function-0.315152
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.315152
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.315152
Yule using Quartile definition:Closest Observation-0.315152
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.315152
Yule using Quartile definition:MS Excel (old versions)-0.315152
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.084454Kurtosis (small sample)-1.185807
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.773258TEST 1 (small sample)-5.439330
TEST 1 Prob. (small sample)0.435400TEST 1 Prob. (small sample)0.000000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0845000.435400Trim. Kurtosis (0/500)-1.1858000.000000
Trim. Skewness (1/500)-0.0950000.384400Trim. Kurtosis (1/500)-1.1967000.000000
Trim. Skewness (2/500)-0.1059000.332000Trim. Kurtosis (2/500)-1.2080000.000000
Trim. Skewness (3/500)-0.1171000.284600Trim. Kurtosis (3/500)-1.2197000.000000
Trim. Skewness (4/500)-0.1284000.242000Trim. Kurtosis (4/500)-1.2316000.000000
Trim. Skewness (5/500)-0.1391000.204000Trim. Kurtosis (5/500)-1.2423000.000000
Trim. Skewness (6/500)-0.1501000.173800Trim. Kurtosis (6/500)-1.2535000.000000
Trim. Skewness (7/500)-0.1604000.147000Trim. Kurtosis (7/500)-1.2632000.000000
Trim. Skewness (8/500)-0.1710000.121200Trim. Kurtosis (8/500)-1.2736000.000000
Trim. Skewness (9/500)-0.1818000.101000Trim. Kurtosis (9/500)-1.2841000.000000
Trim. Skewness (10/500)-0.1927000.083600Trim. Kurtosis (10/500)-1.2949000.000000
Trim. Skewness (11/500)-0.2036000.067200Trim. Kurtosis (11/500)-1.3057000.000000
Trim. Skewness (12/500)-0.2131000.056200Trim. Kurtosis (12/500)-1.3139000.000000
Trim. Skewness (13/500)-0.2231000.046600Trim. Kurtosis (13/500)-1.3227000.000000
Trim. Skewness (14/500)-0.2327000.037600Trim. Kurtosis (14/500)-1.3309000.000000
Trim. Skewness (15/500)-0.2417000.031600Trim. Kurtosis (15/500)-1.3377000.000000
Trim. Skewness (16/500)-0.2507000.025800Trim. Kurtosis (16/500)-1.3444000.000000
Trim. Skewness (17/500)-0.2592000.021400Trim. Kurtosis (17/500)-1.3503000.000000
Trim. Skewness (18/500)-0.2677000.017800Trim. Kurtosis (18/500)-1.3561000.000000
Trim. Skewness (19/500)-0.2755000.015000Trim. Kurtosis (19/500)-1.3607000.000000
Trim. Skewness (20/500)-0.2834000.012800Trim. Kurtosis (20/500)-1.3653000.000000
Trim. Skewness (21/500)-0.2915000.010400Trim. Kurtosis (21/500)-1.3699000.000000
Trim. Skewness (22/500)-0.2981000.009000Trim. Kurtosis (22/500)-1.3722000.000000
Trim. Skewness (23/500)-0.3023000.008200Trim. Kurtosis (23/500)-1.3714000.000000
Trim. Skewness (24/500)-0.3061000.007600Trim. Kurtosis (24/500)-1.3700000.000000
Trim. Skewness (25/500)-0.3099000.007000Trim. Kurtosis (25/500)-1.3685000.000000
Trim. Skewness (26/500)-0.3136000.006600Trim. Kurtosis (26/500)-1.3670000.000000
Trim. Skewness (27/500)-0.3172000.006000Trim. Kurtosis (27/500)-1.3653000.000000
Trim. Skewness (28/500)-0.3208000.005600Trim. Kurtosis (28/500)-1.3636000.000000
Trim. Skewness (29/500)-0.3243000.005200Trim. Kurtosis (29/500)-1.3619000.000000
Trim. Skewness (30/500)-0.3275000.004800Trim. Kurtosis (30/500)-1.3598000.000000
Trim. Skewness (31/500)-0.3307000.004600Trim. Kurtosis (31/500)-1.3577000.000000
Trim. Skewness (32/500)-0.3340000.004200Trim. Kurtosis (32/500)-1.3555000.000000
Trim. Skewness (33/500)-0.3373000.004000Trim. Kurtosis (33/500)-1.3534000.000000
Trim. Skewness (34/500)-0.3405000.003800Trim. Kurtosis (34/500)-1.3510000.000000
Trim. Skewness (35/500)-0.3437000.003600Trim. Kurtosis (35/500)-1.3486000.000000
Trim. Skewness (36/500)-0.3470000.003200Trim. Kurtosis (36/500)-1.3461000.000000
Trim. Skewness (37/500)-0.3504000.003000Trim. Kurtosis (37/500)-1.3436000.000000
Trim. Skewness (38/500)-0.3535000.002800Trim. Kurtosis (38/500)-1.3409000.000000
Trim. Skewness (39/500)-0.3566000.002600Trim. Kurtosis (39/500)-1.3382000.000000
Trim. Skewness (40/500)-0.3597000.002400Trim. Kurtosis (40/500)-1.3355000.000000

\begin{tabular}{lllllllll}
\hline

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

Skewness Measure (small sample)
ValueProbabilityKurtosis Measure (small sample)ValueProbability \tabularnewline Trim. Skewness (0/500)-0.0845000.435400 & Trim. Kurtosis (0/500)-1.1858000.000000 \tabularnewline Trim. Skewness (1/500)-0.0950000.384400 & Trim. Kurtosis (1/500)-1.1967000.000000 \tabularnewline Trim. Skewness (2/500)-0.1059000.332000 & Trim. Kurtosis (2/500)-1.2080000.000000 \tabularnewline Trim. Skewness (3/500)-0.1171000.284600 & Trim. Kurtosis (3/500)-1.2197000.000000 \tabularnewline Trim. Skewness (4/500)-0.1284000.242000 & Trim. Kurtosis (4/500)-1.2316000.000000 \tabularnewline Trim. Skewness (5/500)-0.1391000.204000 & Trim. Kurtosis (5/500)-1.2423000.000000 \tabularnewline Trim. Skewness (6/500)-0.1501000.173800 & Trim. Kurtosis (6/500)-1.2535000.000000 \tabularnewline Trim. Skewness (7/500)-0.1604000.147000 & Trim. Kurtosis (7/500)-1.2632000.000000 \tabularnewline Trim. Skewness (8/500)-0.1710000.121200 & Trim. Kurtosis (8/500)-1.2736000.000000 \tabularnewline Trim. Skewness (9/500)-0.1818000.101000 & Trim. Kurtosis (9/500)-1.2841000.000000 \tabularnewline Trim. Skewness (10/500)-0.1927000.083600 & Trim. Kurtosis (10/500)-1.2949000.000000 \tabularnewline Trim. Skewness (11/500)-0.2036000.067200 & Trim. Kurtosis (11/500)-1.3057000.000000 \tabularnewline Trim. Skewness (12/500)-0.2131000.056200 & Trim. Kurtosis (12/500)-1.3139000.000000 \tabularnewline Trim. Skewness (13/500)-0.2231000.046600 & Trim. Kurtosis (13/500)-1.3227000.000000 \tabularnewline Trim. Skewness (14/500)-0.2327000.037600 & Trim. Kurtosis (14/500)-1.3309000.000000 \tabularnewline Trim. Skewness (15/500)-0.2417000.031600 & Trim. Kurtosis (15/500)-1.3377000.000000 \tabularnewline Trim. Skewness (16/500)-0.2507000.025800 & Trim. Kurtosis (16/500)-1.3444000.000000 \tabularnewline Trim. Skewness (17/500)-0.2592000.021400 & Trim. Kurtosis (17/500)-1.3503000.000000 \tabularnewline Trim. Skewness (18/500)-0.2677000.017800 & Trim. Kurtosis (18/500)-1.3561000.000000 \tabularnewline Trim. Skewness (19/500)-0.2755000.015000 & Trim. Kurtosis (19/500)-1.3607000.000000 \tabularnewline Trim. Skewness (20/500)-0.2834000.012800 & Trim. Kurtosis (20/500)-1.3653000.000000 \tabularnewline Trim. Skewness (21/500)-0.2915000.010400 & Trim. Kurtosis (21/500)-1.3699000.000000 \tabularnewline Trim. Skewness (22/500)-0.2981000.009000 & Trim. Kurtosis (22/500)-1.3722000.000000 \tabularnewline Trim. Skewness (23/500)-0.3023000.008200 & Trim. Kurtosis (23/500)-1.3714000.000000 \tabularnewline Trim. Skewness (24/500)-0.3061000.007600 & Trim. Kurtosis (24/500)-1.3700000.000000 \tabularnewline Trim. Skewness (25/500)-0.3099000.007000 & Trim. Kurtosis (25/500)-1.3685000.000000 \tabularnewline Trim. Skewness (26/500)-0.3136000.006600 & Trim. Kurtosis (26/500)-1.3670000.000000 \tabularnewline Trim. Skewness (27/500)-0.3172000.006000 & Trim. Kurtosis (27/500)-1.3653000.000000 \tabularnewline Trim. Skewness (28/500)-0.3208000.005600 & Trim. Kurtosis (28/500)-1.3636000.000000 \tabularnewline Trim. Skewness (29/500)-0.3243000.005200 & Trim. Kurtosis (29/500)-1.3619000.000000 \tabularnewline Trim. Skewness (30/500)-0.3275000.004800 & Trim. Kurtosis (30/500)-1.3598000.000000 \tabularnewline Trim. Skewness (31/500)-0.3307000.004600 & Trim. Kurtosis (31/500)-1.3577000.000000 \tabularnewline Trim. Skewness (32/500)-0.3340000.004200 & Trim. Kurtosis (32/500)-1.3555000.000000 \tabularnewline Trim. Skewness (33/500)-0.3373000.004000 & Trim. Kurtosis (33/500)-1.3534000.000000 \tabularnewline Trim. Skewness (34/500)-0.3405000.003800 & Trim. Kurtosis (34/500)-1.3510000.000000 \tabularnewline Trim. Skewness (35/500)-0.3437000.003600 & Trim. Kurtosis (35/500)-1.3486000.000000 \tabularnewline Trim. Skewness (36/500)-0.3470000.003200 & Trim. Kurtosis (36/500)-1.3461000.000000 \tabularnewline Trim. Skewness (37/500)-0.3504000.003000 & Trim. Kurtosis (37/500)-1.3436000.000000 \tabularnewline Trim. Skewness (38/500)-0.3535000.002800 & Trim. Kurtosis (38/500)-1.3409000.000000 \tabularnewline Trim. Skewness (39/500)-0.3566000.002600 & Trim. Kurtosis (39/500)-1.3382000.000000 \tabularnewline Trim. Skewness (40/500)-0.3597000.002400 & Trim. Kurtosis (40/500)-1.3355000.000000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103762&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]-0.084500[/C]0.435400[/C][C]Trim. Kurtosis (0/500)[/C]-1.185800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.095000[/C]0.384400[/C][C]Trim. Kurtosis (1/500)[/C]-1.196700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.105900[/C]0.332000[/C][C]Trim. Kurtosis (2/500)[/C]-1.208000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.117100[/C]0.284600[/C][C]Trim. Kurtosis (3/500)[/C]-1.219700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.128400[/C]0.242000[/C][C]Trim. Kurtosis (4/500)[/C]-1.231600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.139100[/C]0.204000[/C][C]Trim. Kurtosis (5/500)[/C]-1.242300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.150100[/C]0.173800[/C][C]Trim. Kurtosis (6/500)[/C]-1.253500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.160400[/C]0.147000[/C][C]Trim. Kurtosis (7/500)[/C]-1.263200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.171000[/C]0.121200[/C][C]Trim. Kurtosis (8/500)[/C]-1.273600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.181800[/C]0.101000[/C][C]Trim. Kurtosis (9/500)[/C]-1.284100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.192700[/C]0.083600[/C][C]Trim. Kurtosis (10/500)[/C]-1.294900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.203600[/C]0.067200[/C][C]Trim. Kurtosis (11/500)[/C]-1.305700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.213100[/C]0.056200[/C][C]Trim. Kurtosis (12/500)[/C]-1.313900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.223100[/C]0.046600[/C][C]Trim. Kurtosis (13/500)[/C]-1.322700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.232700[/C]0.037600[/C][C]Trim. Kurtosis (14/500)[/C]-1.330900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.241700[/C]0.031600[/C][C]Trim. Kurtosis (15/500)[/C]-1.337700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.250700[/C]0.025800[/C][C]Trim. Kurtosis (16/500)[/C]-1.344400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.259200[/C]0.021400[/C][C]Trim. Kurtosis (17/500)[/C]-1.350300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.267700[/C]0.017800[/C][C]Trim. Kurtosis (18/500)[/C]-1.356100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.275500[/C]0.015000[/C][C]Trim. Kurtosis (19/500)[/C]-1.360700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.283400[/C]0.012800[/C][C]Trim. Kurtosis (20/500)[/C]-1.365300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.291500[/C]0.010400[/C][C]Trim. Kurtosis (21/500)[/C]-1.369900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.298100[/C]0.009000[/C][C]Trim. Kurtosis (22/500)[/C]-1.372200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.302300[/C]0.008200[/C][C]Trim. Kurtosis (23/500)[/C]-1.371400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.306100[/C]0.007600[/C][C]Trim. Kurtosis (24/500)[/C]-1.370000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.309900[/C]0.007000[/C][C]Trim. Kurtosis (25/500)[/C]-1.368500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.313600[/C]0.006600[/C][C]Trim. Kurtosis (26/500)[/C]-1.367000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.317200[/C]0.006000[/C][C]Trim. Kurtosis (27/500)[/C]-1.365300[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.320800[/C]0.005600[/C][C]Trim. Kurtosis (28/500)[/C]-1.363600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.324300[/C]0.005200[/C][C]Trim. Kurtosis (29/500)[/C]-1.361900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.327500[/C]0.004800[/C][C]Trim. Kurtosis (30/500)[/C]-1.359800[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.330700[/C]0.004600[/C][C]Trim. Kurtosis (31/500)[/C]-1.357700[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.334000[/C]0.004200[/C][C]Trim. Kurtosis (32/500)[/C]-1.355500[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.337300[/C]0.004000[/C][C]Trim. Kurtosis (33/500)[/C]-1.353400[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.340500[/C]0.003800[/C][C]Trim. Kurtosis (34/500)[/C]-1.351000[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.343700[/C]0.003600[/C][C]Trim. Kurtosis (35/500)[/C]-1.348600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.347000[/C]0.003200[/C][C]Trim. Kurtosis (36/500)[/C]-1.346100[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.350400[/C]0.003000[/C][C]Trim. Kurtosis (37/500)[/C]-1.343600[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.353500[/C]0.002800[/C][C]Trim. Kurtosis (38/500)[/C]-1.340900[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.356600[/C]0.002600[/C][C]Trim. Kurtosis (39/500)[/C]-1.338200[/C]0.000000[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.359700[/C]0.002400[/C][C]Trim. Kurtosis (40/500)[/C]-1.335500[/C]0.000000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103762&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103762&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)-0.0845000.435400Trim. Kurtosis (0/500)-1.1858000.000000
Trim. Skewness (1/500)-0.0950000.384400Trim. Kurtosis (1/500)-1.1967000.000000
Trim. Skewness (2/500)-0.1059000.332000Trim. Kurtosis (2/500)-1.2080000.000000
Trim. Skewness (3/500)-0.1171000.284600Trim. Kurtosis (3/500)-1.2197000.000000
Trim. Skewness (4/500)-0.1284000.242000Trim. Kurtosis (4/500)-1.2316000.000000
Trim. Skewness (5/500)-0.1391000.204000Trim. Kurtosis (5/500)-1.2423000.000000
Trim. Skewness (6/500)-0.1501000.173800Trim. Kurtosis (6/500)-1.2535000.000000
Trim. Skewness (7/500)-0.1604000.147000Trim. Kurtosis (7/500)-1.2632000.000000
Trim. Skewness (8/500)-0.1710000.121200Trim. Kurtosis (8/500)-1.2736000.000000
Trim. Skewness (9/500)-0.1818000.101000Trim. Kurtosis (9/500)-1.2841000.000000
Trim. Skewness (10/500)-0.1927000.083600Trim. Kurtosis (10/500)-1.2949000.000000
Trim. Skewness (11/500)-0.2036000.067200Trim. Kurtosis (11/500)-1.3057000.000000
Trim. Skewness (12/500)-0.2131000.056200Trim. Kurtosis (12/500)-1.3139000.000000
Trim. Skewness (13/500)-0.2231000.046600Trim. Kurtosis (13/500)-1.3227000.000000
Trim. Skewness (14/500)-0.2327000.037600Trim. Kurtosis (14/500)-1.3309000.000000
Trim. Skewness (15/500)-0.2417000.031600Trim. Kurtosis (15/500)-1.3377000.000000
Trim. Skewness (16/500)-0.2507000.025800Trim. Kurtosis (16/500)-1.3444000.000000
Trim. Skewness (17/500)-0.2592000.021400Trim. Kurtosis (17/500)-1.3503000.000000
Trim. Skewness (18/500)-0.2677000.017800Trim. Kurtosis (18/500)-1.3561000.000000
Trim. Skewness (19/500)-0.2755000.015000Trim. Kurtosis (19/500)-1.3607000.000000
Trim. Skewness (20/500)-0.2834000.012800Trim. Kurtosis (20/500)-1.3653000.000000
Trim. Skewness (21/500)-0.2915000.010400Trim. Kurtosis (21/500)-1.3699000.000000
Trim. Skewness (22/500)-0.2981000.009000Trim. Kurtosis (22/500)-1.3722000.000000
Trim. Skewness (23/500)-0.3023000.008200Trim. Kurtosis (23/500)-1.3714000.000000
Trim. Skewness (24/500)-0.3061000.007600Trim. Kurtosis (24/500)-1.3700000.000000
Trim. Skewness (25/500)-0.3099000.007000Trim. Kurtosis (25/500)-1.3685000.000000
Trim. Skewness (26/500)-0.3136000.006600Trim. Kurtosis (26/500)-1.3670000.000000
Trim. Skewness (27/500)-0.3172000.006000Trim. Kurtosis (27/500)-1.3653000.000000
Trim. Skewness (28/500)-0.3208000.005600Trim. Kurtosis (28/500)-1.3636000.000000
Trim. Skewness (29/500)-0.3243000.005200Trim. Kurtosis (29/500)-1.3619000.000000
Trim. Skewness (30/500)-0.3275000.004800Trim. Kurtosis (30/500)-1.3598000.000000
Trim. Skewness (31/500)-0.3307000.004600Trim. Kurtosis (31/500)-1.3577000.000000
Trim. Skewness (32/500)-0.3340000.004200Trim. Kurtosis (32/500)-1.3555000.000000
Trim. Skewness (33/500)-0.3373000.004000Trim. Kurtosis (33/500)-1.3534000.000000
Trim. Skewness (34/500)-0.3405000.003800Trim. Kurtosis (34/500)-1.3510000.000000
Trim. Skewness (35/500)-0.3437000.003600Trim. Kurtosis (35/500)-1.3486000.000000
Trim. Skewness (36/500)-0.3470000.003200Trim. Kurtosis (36/500)-1.3461000.000000
Trim. Skewness (37/500)-0.3504000.003000Trim. Kurtosis (37/500)-1.3436000.000000
Trim. Skewness (38/500)-0.3535000.002800Trim. Kurtosis (38/500)-1.3409000.000000
Trim. Skewness (39/500)-0.3566000.002600Trim. Kurtosis (39/500)-1.3382000.000000
Trim. Skewness (40/500)-0.3597000.002400Trim. Kurtosis (40/500)-1.3355000.000000


Figures (Output of Computation)

Input Parameters & R Code

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