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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 19:01:49 +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/t1291143594r889wqll3qv5bdn.htm/, Retrieved Mon, 29 Apr 2024 13:06:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103757, Retrieved Mon, 29 Apr 2024 13:06:25 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact140

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 19:01:49] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13,88
13,82
13,96
13,90
13,67
13,35
13,40
13,51
13,42
13,93
14,49
14,41
14,29
14,46
14,52
14,48
14,37
14,41
14,40
14,59
14,67
14,51
14,71
14,59
14,60
14,69
14,49
14,66
14,49
14,27
14,13
13,92
13,73
13,69
13,27
13,22
13,40
12,90
13,04
12,97
12,99
12,71
12,64
12,65
12,15
12,38
12,60
12,67
12,45
12,42
12,30
12,38
12,31
12,06
12,38
12,54
12,32
12,59
12,36
12,12
11,77
12,02
11,89
11,75
11,79
11,59
11,94
12,07
12,04
12,19
12,06
11,96
12,01
11,99
12,10
12,45
12,98
13,12
13,13
13,21
13,42
13,61
13,24
13,16
13,50
13,66
13,74
13,51
13,40
13,07
13,36
13,44
13,07
13,64
13,52
13,20
12,84
12,85
12,78
12,46
11,90
12,03
12,03
12,06
12,27
12,95
12,93
12,93
13,82
13,80
13,95
14,04
14,20
13,99
14,00
13,09
13,15
13,07
12,78
12,68
12,93
13,24
13,76
13,12
13,09
13,33
13,40
13,25
13,33
13,44
13,35
14,32
14,98
15,00
15,22
15,15
15,44
15,72
15,48
15,38
15,01
15,20
15,77
15,66
16,38
16,20
16,65
16,51
16,53
17,02
17,50
17,46
17,17
17,01
16,90
16,76
16,86
16,56
15,72
15,93
15,83
15,76
15,69
15,57
15,20
15,05
15,02
14,97
14,96
14,99
14,87
14,99
15,22
14,62
14,41
14,55
14,59
14,30
14,26
14,26
14,21
14,31
14,18
14,01
13,88
13,67
13,71
13,68
13,57
13,24
13,29
13,39
13,21
13,36
13,47
14,43
14,11
14,14
13,84
13,95
13,75
13,55
13,39
13,24
13,01
13,36
13,30
13,22
12,90
13,28
13,53
13,58
13,89
13,64
14,39
14,51
14,81
14,40
14,70
15,07
15,06
14,86
14,85
14,72
14,58
14,87
14,54
14,36
14,79
14,32
14,60
14,79
14,34
14,11
14,11
13,74
13,74
13,70
13,51
13,18
13,12
13,23
13,11
12,81
13,29
13,46
13,46
13,66
13,84
14,12
14,14
14,36
14,32
14,79
14,29
15,87
16,06
15,95
15,96
15,40
15,45
15,59
15,40
15,54
14,86
14,91
14,58
14,59
14,44
14,45
14,93
14,59
15,29
15,37
15,48
15,43
15,15
15,35
15,36
15,28
15,43
15,63
15,31
15,42
15,81
15,82
15,36
15,51
15,15
15,04
15,14
15,26
15,17
15,67
15,34
15,77
15,95
15,73
16,01
16,69
16,86
16,92
16,57
16,39
16,60
16,56
15,92
15,96
15,69
15,25
15,35
15,21
15,83
15,93
15,65
14,67
14,57
14,78
14,49
14,55
14,45
14,43
13,93
14,20
14,29
13,84
13,38
13,59
13,20
13,16
13,63
13,70
13,60
13,38
13,57
13,72
13,97
13,71
13,50
13,47
13,30
13,36
12,94
12,67
12,75
12,32
11,97
13,02
13,22
13,15
12,95
13,00
13,42
12,97
13,39
13,73
13,86
13,68
13,65
13,28
12,98
12,98
13,29
12,61
12,76
12,77
12,87
13,39
13,27
12,94
12,60
12,28
12,08
12,10
11,62
11,94
12,18
11,57
11,48
11,12
11,14
10,85
10,83
11,18
11,56
11,30
10,98
10,93
10,94
11,21
11,02
10,81
11,07
11,89
11,86
12,28
11,85
11,62
11,25
10,88
11,09
11,05
10,72
10,63
10,55
10,31
11,06
10,88
10,20
10,47
10,45
10,76
10,20
9,83
10,33
10,32
9,50
9,52
9,48
9,49
9,95
10,35
10,17
10,41
10,45
9,88
10,04
9,62
9,34
8,90
9,37
9,44
8,98
8,76
8,04
8,37
8,39
8,88
9,15
8,43
8,53
8,21
8,36
8,26
7,99
8,41
8,12
8,65
8,88
9,12
9,17
9,02
9,16
9,64
9,46
9,43
9,79
9,77
9,31
9,50
9,95
10,88
10,07
10,31
10,14
9,98
10,20
9,85
10,27
10,54
10,31
10,76
10,65
11,12
11,27
11,15
11,05
10,61
10,75
10,24
10,23
10,34
10,65
10,65
10,83
10,96
11,09
11,36
11,68
11,79
11,13
11,48
11,69
12,02
11,86
12,00
10,71
10,27
10,55
10,52

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-3.485498FISHER 4th Cent. Mom.43.679900
FISHER beta 10.179916FISHER beta 22.634162
FISHER gamma 1-0.424166FISHER gamma 2-0.365838
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-3.872084FISHER Test 2-1.669815
FISHER Test 1 Probability0.000200FISHER Test 2 Probability0.095000
Pearson 2-0.390511
Yule using Quartile definition:Weighted Average at Xnp-0.120301
Yule using Quartile definition:Weighted Average at X(n+1)p-0.120301
Yule using Quartile definition:Empirical Distribution Function-0.120301
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.120301
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.120301
Yule using Quartile definition:Closest Observation-0.120301
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.120301
Yule using Quartile definition:MS Excel (old versions)-0.120301
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.425443Kurtosis (small sample)-0.357426
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-3.895363TEST 1 (small sample)-1.639524
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.101000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-3.485498 & FISHER 4th Cent. Mom.43.679900 \tabularnewline FISHER beta 10.179916 & FISHER beta 22.634162 \tabularnewline FISHER gamma 1-0.424166 & FISHER gamma 2-0.365838 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-3.872084 & FISHER Test 2-1.669815 \tabularnewline FISHER Test 1 Probability0.000200 & FISHER Test 2 Probability0.095000 \tabularnewline Pearson 2-0.390511 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.120301 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.120301 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.120301 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.120301 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.120301 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.120301 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.120301 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.120301 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.425443 & Kurtosis (small sample)-0.357426 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-3.895363 & TEST 1 (small sample)-1.639524 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.101000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103757&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]-3.485498[/C][C]FISHER 4th Cent. Mom.[/C]43.679900[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.179916[/C][C]FISHER beta 2[/C]2.634162[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.424166[/C][C]FISHER gamma 2[/C]-0.365838[/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]-3.872084[/C][C]FISHER Test 2[/C]-1.669815[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.000200[/C][C]FISHER Test 2 Probability[/C]0.095000[/C][/ROW] [ROW][C]Pearson 2[/C]-0.390511[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.120301[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.120301[/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]-0.425443[/C][C]Kurtosis (small sample)[/C]-0.357426[/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]-3.895363[/C][C]TEST 1 (small sample)[/C]-1.639524[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][C]TEST 1 Prob. (small sample)[/C]0.101000[/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=103757&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103757&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.-3.485498FISHER 4th Cent. Mom.43.679900
FISHER beta 10.179916FISHER beta 22.634162
FISHER gamma 1-0.424166FISHER gamma 2-0.365838
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-3.872084FISHER Test 2-1.669815
FISHER Test 1 Probability0.000200FISHER Test 2 Probability0.095000
Pearson 2-0.390511
Yule using Quartile definition:Weighted Average at Xnp-0.120301
Yule using Quartile definition:Weighted Average at X(n+1)p-0.120301
Yule using Quartile definition:Empirical Distribution Function-0.120301
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.120301
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.120301
Yule using Quartile definition:Closest Observation-0.120301
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.120301
Yule using Quartile definition:MS Excel (old versions)-0.120301
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.425443Kurtosis (small sample)-0.357426
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-3.895363TEST 1 (small sample)-1.639524
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.101000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.4254000.000000Trim. Kurtosis (0/500)-0.3574000.101000
Trim. Skewness (1/500)-0.4287000.000000Trim. Kurtosis (1/500)-0.3788000.081800
Trim. Skewness (2/500)-0.4322000.000000Trim. Kurtosis (2/500)-0.4011000.065800
Trim. Skewness (3/500)-0.4327000.000000Trim. Kurtosis (3/500)-0.4183000.056200
Trim. Skewness (4/500)-0.4323000.000000Trim. Kurtosis (4/500)-0.4328000.048800
Trim. Skewness (5/500)-0.4323000.000000Trim. Kurtosis (5/500)-0.4479000.041400
Trim. Skewness (6/500)-0.4324000.000000Trim. Kurtosis (6/500)-0.4606000.036600
Trim. Skewness (7/500)-0.4321000.000000Trim. Kurtosis (7/500)-0.4752000.031600
Trim. Skewness (8/500)-0.4314000.000200Trim. Kurtosis (8/500)-0.4912000.026400
Trim. Skewness (9/500)-0.4307000.000200Trim. Kurtosis (9/500)-0.5092000.021400
Trim. Skewness (10/500)-0.4288000.000200Trim. Kurtosis (10/500)-0.5279000.017400
Trim. Skewness (11/500)-0.4271000.000200Trim. Kurtosis (11/500)-0.5444000.014200
Trim. Skewness (12/500)-0.4264000.000200Trim. Kurtosis (12/500)-0.5580000.012400
Trim. Skewness (13/500)-0.4263000.000200Trim. Kurtosis (13/500)-0.5692000.010800
Trim. Skewness (14/500)-0.4273000.000200Trim. Kurtosis (14/500)-0.5776000.009800
Trim. Skewness (15/500)-0.4281000.000200Trim. Kurtosis (15/500)-0.5879000.008800
Trim. Skewness (16/500)-0.4290000.000200Trim. Kurtosis (16/500)-0.5994000.007600
Trim. Skewness (17/500)-0.4305000.000200Trim. Kurtosis (17/500)-0.6097000.006800
Trim. Skewness (18/500)-0.4322000.000200Trim. Kurtosis (18/500)-0.6203000.006000
Trim. Skewness (19/500)-0.4335000.000200Trim. Kurtosis (19/500)-0.6276000.005600
Trim. Skewness (20/500)-0.4351000.000200Trim. Kurtosis (20/500)-0.6354000.005200
Trim. Skewness (21/500)-0.4344000.000200Trim. Kurtosis (21/500)-0.6423000.004600
Trim. Skewness (22/500)-0.4321000.000200Trim. Kurtosis (22/500)-0.6493000.004400
Trim. Skewness (23/500)-0.4309000.000200Trim. Kurtosis (23/500)-0.6523000.004200
Trim. Skewness (24/500)-0.4294000.000200Trim. Kurtosis (24/500)-0.6552000.004200
Trim. Skewness (25/500)-0.4280000.000200Trim. Kurtosis (25/500)-0.6582000.004200
Trim. Skewness (26/500)-0.4270000.000200Trim. Kurtosis (26/500)-0.6602000.004200
Trim. Skewness (27/500)-0.4260000.000200Trim. Kurtosis (27/500)-0.6631000.004000
Trim. Skewness (28/500)-0.4248000.000200Trim. Kurtosis (28/500)-0.6663000.003800
Trim. Skewness (29/500)-0.4237000.000200Trim. Kurtosis (29/500)-0.6700000.003800
Trim. Skewness (30/500)-0.4223000.000200Trim. Kurtosis (30/500)-0.6746000.003600
Trim. Skewness (31/500)-0.4203000.000400Trim. Kurtosis (31/500)-0.6798000.003400
Trim. Skewness (32/500)-0.4175000.000400Trim. Kurtosis (32/500)-0.6862000.003200
Trim. Skewness (33/500)-0.4147000.000400Trim. Kurtosis (33/500)-0.6933000.003000
Trim. Skewness (34/500)-0.4130000.000400Trim. Kurtosis (34/500)-0.6979000.002800
Trim. Skewness (35/500)-0.4112000.000400Trim. Kurtosis (35/500)-0.7030000.002600
Trim. Skewness (36/500)-0.4105000.000600Trim. Kurtosis (36/500)-0.7043000.002600
Trim. Skewness (37/500)-0.4100000.000600Trim. Kurtosis (37/500)-0.7059000.002600
Trim. Skewness (38/500)-0.4097000.000600Trim. Kurtosis (38/500)-0.7071000.002800
Trim. Skewness (39/500)-0.4092000.000600Trim. Kurtosis (39/500)-0.7084000.002800
Trim. Skewness (40/500)-0.4088000.000600Trim. Kurtosis (40/500)-0.7096000.002800

\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)-0.4254000.000000 & Trim. Kurtosis (0/500)-0.3574000.101000 \tabularnewline Trim. Skewness (1/500)-0.4287000.000000 & Trim. Kurtosis (1/500)-0.3788000.081800 \tabularnewline Trim. Skewness (2/500)-0.4322000.000000 & Trim. Kurtosis (2/500)-0.4011000.065800 \tabularnewline Trim. Skewness (3/500)-0.4327000.000000 & Trim. Kurtosis (3/500)-0.4183000.056200 \tabularnewline Trim. Skewness (4/500)-0.4323000.000000 & Trim. Kurtosis (4/500)-0.4328000.048800 \tabularnewline Trim. Skewness (5/500)-0.4323000.000000 & Trim. Kurtosis (5/500)-0.4479000.041400 \tabularnewline Trim. Skewness (6/500)-0.4324000.000000 & Trim. Kurtosis (6/500)-0.4606000.036600 \tabularnewline Trim. Skewness (7/500)-0.4321000.000000 & Trim. Kurtosis (7/500)-0.4752000.031600 \tabularnewline Trim. Skewness (8/500)-0.4314000.000200 & Trim. Kurtosis (8/500)-0.4912000.026400 \tabularnewline Trim. Skewness (9/500)-0.4307000.000200 & Trim. Kurtosis (9/500)-0.5092000.021400 \tabularnewline Trim. Skewness (10/500)-0.4288000.000200 & Trim. Kurtosis (10/500)-0.5279000.017400 \tabularnewline Trim. Skewness (11/500)-0.4271000.000200 & Trim. Kurtosis (11/500)-0.5444000.014200 \tabularnewline Trim. Skewness (12/500)-0.4264000.000200 & Trim. Kurtosis (12/500)-0.5580000.012400 \tabularnewline Trim. Skewness (13/500)-0.4263000.000200 & Trim. Kurtosis (13/500)-0.5692000.010800 \tabularnewline Trim. Skewness (14/500)-0.4273000.000200 & Trim. Kurtosis (14/500)-0.5776000.009800 \tabularnewline Trim. Skewness (15/500)-0.4281000.000200 & Trim. Kurtosis (15/500)-0.5879000.008800 \tabularnewline Trim. Skewness (16/500)-0.4290000.000200 & Trim. Kurtosis (16/500)-0.5994000.007600 \tabularnewline Trim. Skewness (17/500)-0.4305000.000200 & Trim. Kurtosis (17/500)-0.6097000.006800 \tabularnewline Trim. Skewness (18/500)-0.4322000.000200 & Trim. Kurtosis (18/500)-0.6203000.006000 \tabularnewline Trim. Skewness (19/500)-0.4335000.000200 & Trim. Kurtosis (19/500)-0.6276000.005600 \tabularnewline Trim. Skewness (20/500)-0.4351000.000200 & Trim. Kurtosis (20/500)-0.6354000.005200 \tabularnewline Trim. Skewness (21/500)-0.4344000.000200 & Trim. Kurtosis (21/500)-0.6423000.004600 \tabularnewline Trim. Skewness (22/500)-0.4321000.000200 & Trim. Kurtosis (22/500)-0.6493000.004400 \tabularnewline Trim. Skewness (23/500)-0.4309000.000200 & Trim. Kurtosis (23/500)-0.6523000.004200 \tabularnewline Trim. Skewness (24/500)-0.4294000.000200 & Trim. Kurtosis (24/500)-0.6552000.004200 \tabularnewline Trim. Skewness (25/500)-0.4280000.000200 & Trim. Kurtosis (25/500)-0.6582000.004200 \tabularnewline Trim. Skewness (26/500)-0.4270000.000200 & Trim. Kurtosis (26/500)-0.6602000.004200 \tabularnewline Trim. Skewness (27/500)-0.4260000.000200 & Trim. Kurtosis (27/500)-0.6631000.004000 \tabularnewline Trim. Skewness (28/500)-0.4248000.000200 & Trim. Kurtosis (28/500)-0.6663000.003800 \tabularnewline Trim. Skewness (29/500)-0.4237000.000200 & Trim. Kurtosis (29/500)-0.6700000.003800 \tabularnewline Trim. Skewness (30/500)-0.4223000.000200 & Trim. Kurtosis (30/500)-0.6746000.003600 \tabularnewline Trim. Skewness (31/500)-0.4203000.000400 & Trim. Kurtosis (31/500)-0.6798000.003400 \tabularnewline Trim. Skewness (32/500)-0.4175000.000400 & Trim. Kurtosis (32/500)-0.6862000.003200 \tabularnewline Trim. Skewness (33/500)-0.4147000.000400 & Trim. Kurtosis (33/500)-0.6933000.003000 \tabularnewline Trim. Skewness (34/500)-0.4130000.000400 & Trim. Kurtosis (34/500)-0.6979000.002800 \tabularnewline Trim. Skewness (35/500)-0.4112000.000400 & Trim. Kurtosis (35/500)-0.7030000.002600 \tabularnewline Trim. Skewness (36/500)-0.4105000.000600 & Trim. Kurtosis (36/500)-0.7043000.002600 \tabularnewline Trim. Skewness (37/500)-0.4100000.000600 & Trim. Kurtosis (37/500)-0.7059000.002600 \tabularnewline Trim. Skewness (38/500)-0.4097000.000600 & Trim. Kurtosis (38/500)-0.7071000.002800 \tabularnewline Trim. Skewness (39/500)-0.4092000.000600 & Trim. Kurtosis (39/500)-0.7084000.002800 \tabularnewline Trim. Skewness (40/500)-0.4088000.000600 & Trim. Kurtosis (40/500)-0.7096000.002800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103757&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]-0.425400[/C]0.000000[/C][C]Trim. Kurtosis (0/500)[/C]-0.357400[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.428700[/C]0.000000[/C][C]Trim. Kurtosis (1/500)[/C]-0.378800[/C]0.081800[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.432200[/C]0.000000[/C][C]Trim. Kurtosis (2/500)[/C]-0.401100[/C]0.065800[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.432700[/C]0.000000[/C][C]Trim. Kurtosis (3/500)[/C]-0.418300[/C]0.056200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.432300[/C]0.000000[/C][C]Trim. Kurtosis (4/500)[/C]-0.432800[/C]0.048800[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.432300[/C]0.000000[/C][C]Trim. Kurtosis (5/500)[/C]-0.447900[/C]0.041400[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.432400[/C]0.000000[/C][C]Trim. Kurtosis (6/500)[/C]-0.460600[/C]0.036600[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.432100[/C]0.000000[/C][C]Trim. Kurtosis (7/500)[/C]-0.475200[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.431400[/C]0.000200[/C][C]Trim. Kurtosis (8/500)[/C]-0.491200[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.430700[/C]0.000200[/C][C]Trim. Kurtosis (9/500)[/C]-0.509200[/C]0.021400[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.428800[/C]0.000200[/C][C]Trim. Kurtosis (10/500)[/C]-0.527900[/C]0.017400[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.427100[/C]0.000200[/C][C]Trim. Kurtosis (11/500)[/C]-0.544400[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.426400[/C]0.000200[/C][C]Trim. Kurtosis (12/500)[/C]-0.558000[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.426300[/C]0.000200[/C][C]Trim. Kurtosis (13/500)[/C]-0.569200[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.427300[/C]0.000200[/C][C]Trim. Kurtosis (14/500)[/C]-0.577600[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.428100[/C]0.000200[/C][C]Trim. Kurtosis (15/500)[/C]-0.587900[/C]0.008800[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.429000[/C]0.000200[/C][C]Trim. Kurtosis (16/500)[/C]-0.599400[/C]0.007600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.430500[/C]0.000200[/C][C]Trim. Kurtosis (17/500)[/C]-0.609700[/C]0.006800[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.432200[/C]0.000200[/C][C]Trim. Kurtosis (18/500)[/C]-0.620300[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.433500[/C]0.000200[/C][C]Trim. Kurtosis (19/500)[/C]-0.627600[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.435100[/C]0.000200[/C][C]Trim. Kurtosis (20/500)[/C]-0.635400[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.434400[/C]0.000200[/C][C]Trim. Kurtosis (21/500)[/C]-0.642300[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.432100[/C]0.000200[/C][C]Trim. Kurtosis (22/500)[/C]-0.649300[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.430900[/C]0.000200[/C][C]Trim. Kurtosis (23/500)[/C]-0.652300[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.429400[/C]0.000200[/C][C]Trim. Kurtosis (24/500)[/C]-0.655200[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.428000[/C]0.000200[/C][C]Trim. Kurtosis (25/500)[/C]-0.658200[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.427000[/C]0.000200[/C][C]Trim. Kurtosis (26/500)[/C]-0.660200[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.426000[/C]0.000200[/C][C]Trim. Kurtosis (27/500)[/C]-0.663100[/C]0.004000[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.424800[/C]0.000200[/C][C]Trim. Kurtosis (28/500)[/C]-0.666300[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.423700[/C]0.000200[/C][C]Trim. Kurtosis (29/500)[/C]-0.670000[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.422300[/C]0.000200[/C][C]Trim. Kurtosis (30/500)[/C]-0.674600[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.420300[/C]0.000400[/C][C]Trim. Kurtosis (31/500)[/C]-0.679800[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.417500[/C]0.000400[/C][C]Trim. Kurtosis (32/500)[/C]-0.686200[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.414700[/C]0.000400[/C][C]Trim. Kurtosis (33/500)[/C]-0.693300[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.413000[/C]0.000400[/C][C]Trim. Kurtosis (34/500)[/C]-0.697900[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.411200[/C]0.000400[/C][C]Trim. Kurtosis (35/500)[/C]-0.703000[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.410500[/C]0.000600[/C][C]Trim. Kurtosis (36/500)[/C]-0.704300[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.410000[/C]0.000600[/C][C]Trim. Kurtosis (37/500)[/C]-0.705900[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.409700[/C]0.000600[/C][C]Trim. Kurtosis (38/500)[/C]-0.707100[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.409200[/C]0.000600[/C][C]Trim. Kurtosis (39/500)[/C]-0.708400[/C]0.002800[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.408800[/C]0.000600[/C][C]Trim. Kurtosis (40/500)[/C]-0.709600[/C]0.002800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103757&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103757&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)-0.4254000.000000Trim. Kurtosis (0/500)-0.3574000.101000
Trim. Skewness (1/500)-0.4287000.000000Trim. Kurtosis (1/500)-0.3788000.081800
Trim. Skewness (2/500)-0.4322000.000000Trim. Kurtosis (2/500)-0.4011000.065800
Trim. Skewness (3/500)-0.4327000.000000Trim. Kurtosis (3/500)-0.4183000.056200
Trim. Skewness (4/500)-0.4323000.000000Trim. Kurtosis (4/500)-0.4328000.048800
Trim. Skewness (5/500)-0.4323000.000000Trim. Kurtosis (5/500)-0.4479000.041400
Trim. Skewness (6/500)-0.4324000.000000Trim. Kurtosis (6/500)-0.4606000.036600
Trim. Skewness (7/500)-0.4321000.000000Trim. Kurtosis (7/500)-0.4752000.031600
Trim. Skewness (8/500)-0.4314000.000200Trim. Kurtosis (8/500)-0.4912000.026400
Trim. Skewness (9/500)-0.4307000.000200Trim. Kurtosis (9/500)-0.5092000.021400
Trim. Skewness (10/500)-0.4288000.000200Trim. Kurtosis (10/500)-0.5279000.017400
Trim. Skewness (11/500)-0.4271000.000200Trim. Kurtosis (11/500)-0.5444000.014200
Trim. Skewness (12/500)-0.4264000.000200Trim. Kurtosis (12/500)-0.5580000.012400
Trim. Skewness (13/500)-0.4263000.000200Trim. Kurtosis (13/500)-0.5692000.010800
Trim. Skewness (14/500)-0.4273000.000200Trim. Kurtosis (14/500)-0.5776000.009800
Trim. Skewness (15/500)-0.4281000.000200Trim. Kurtosis (15/500)-0.5879000.008800
Trim. Skewness (16/500)-0.4290000.000200Trim. Kurtosis (16/500)-0.5994000.007600
Trim. Skewness (17/500)-0.4305000.000200Trim. Kurtosis (17/500)-0.6097000.006800
Trim. Skewness (18/500)-0.4322000.000200Trim. Kurtosis (18/500)-0.6203000.006000
Trim. Skewness (19/500)-0.4335000.000200Trim. Kurtosis (19/500)-0.6276000.005600
Trim. Skewness (20/500)-0.4351000.000200Trim. Kurtosis (20/500)-0.6354000.005200
Trim. Skewness (21/500)-0.4344000.000200Trim. Kurtosis (21/500)-0.6423000.004600
Trim. Skewness (22/500)-0.4321000.000200Trim. Kurtosis (22/500)-0.6493000.004400
Trim. Skewness (23/500)-0.4309000.000200Trim. Kurtosis (23/500)-0.6523000.004200
Trim. Skewness (24/500)-0.4294000.000200Trim. Kurtosis (24/500)-0.6552000.004200
Trim. Skewness (25/500)-0.4280000.000200Trim. Kurtosis (25/500)-0.6582000.004200
Trim. Skewness (26/500)-0.4270000.000200Trim. Kurtosis (26/500)-0.6602000.004200
Trim. Skewness (27/500)-0.4260000.000200Trim. Kurtosis (27/500)-0.6631000.004000
Trim. Skewness (28/500)-0.4248000.000200Trim. Kurtosis (28/500)-0.6663000.003800
Trim. Skewness (29/500)-0.4237000.000200Trim. Kurtosis (29/500)-0.6700000.003800
Trim. Skewness (30/500)-0.4223000.000200Trim. Kurtosis (30/500)-0.6746000.003600
Trim. Skewness (31/500)-0.4203000.000400Trim. Kurtosis (31/500)-0.6798000.003400
Trim. Skewness (32/500)-0.4175000.000400Trim. Kurtosis (32/500)-0.6862000.003200
Trim. Skewness (33/500)-0.4147000.000400Trim. Kurtosis (33/500)-0.6933000.003000
Trim. Skewness (34/500)-0.4130000.000400Trim. Kurtosis (34/500)-0.6979000.002800
Trim. Skewness (35/500)-0.4112000.000400Trim. Kurtosis (35/500)-0.7030000.002600
Trim. Skewness (36/500)-0.4105000.000600Trim. Kurtosis (36/500)-0.7043000.002600
Trim. Skewness (37/500)-0.4100000.000600Trim. Kurtosis (37/500)-0.7059000.002600
Trim. Skewness (38/500)-0.4097000.000600Trim. Kurtosis (38/500)-0.7071000.002800
Trim. Skewness (39/500)-0.4092000.000600Trim. Kurtosis (39/500)-0.7084000.002800
Trim. Skewness (40/500)-0.4088000.000600Trim. Kurtosis (40/500)-0.7096000.002800


Figures (Output of Computation)

Input Parameters & R Code

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