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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 19:09:14 +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/t12911440451ezflaygj5r2ui3.htm/, Retrieved Mon, 29 Apr 2024 12:04:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103770, Retrieved Mon, 29 Apr 2024 12:04:15 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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 19:09:14] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

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

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-74.193983FISHER 4th Cent. Mom.5422.706855
FISHER beta 10.043944FISHER beta 22.165998
FISHER gamma 1-0.209628FISHER gamma 2-0.834002
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.913637FISHER Test 2-3.806680
FISHER Test 1 Probability0.054800FISHER Test 2 Probability0.000200
Pearson 2-0.272788
Yule using Quartile definition:Weighted Average at Xnp-0.215139
Yule using Quartile definition:Weighted Average at X(n+1)p-0.203557
Yule using Quartile definition:Empirical Distribution Function-0.215139
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.206349
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.209163
Yule using Quartile definition:Closest Observation-0.215139
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.209163
Yule using Quartile definition:MS Excel (old versions)-0.200787
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.210260Kurtosis (small sample)-0.830306
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.925142TEST 1 (small sample)-3.808635
TEST 1 Prob. (small sample)0.053600TEST 1 Prob. (small sample)0.000200
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-74.193983 & FISHER 4th Cent. Mom.5422.706855 \tabularnewline FISHER beta 10.043944 & FISHER beta 22.165998 \tabularnewline FISHER gamma 1-0.209628 & FISHER gamma 2-0.834002 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-1.913637 & FISHER Test 2-3.806680 \tabularnewline FISHER Test 1 Probability0.054800 & FISHER Test 2 Probability0.000200 \tabularnewline Pearson 2-0.272788 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.215139 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.203557 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.215139 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.206349 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.209163 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.215139 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.209163 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.200787 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.210260 & Kurtosis (small sample)-0.830306 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-1.925142 & TEST 1 (small sample)-3.808635 \tabularnewline TEST 1 Prob. (small sample)0.053600 & TEST 1 Prob. (small sample)0.000200 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103770&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]-74.193983[/C][C]FISHER 4th Cent. Mom.[/C]5422.706855[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.043944[/C][C]FISHER beta 2[/C]2.165998[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.209628[/C][C]FISHER gamma 2[/C]-0.834002[/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]-1.913637[/C][C]FISHER Test 2[/C]-3.806680[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.054800[/C][C]FISHER Test 2 Probability[/C]0.000200[/C][/ROW] [ROW][C]Pearson 2[/C]-0.272788[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.215139[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.203557[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.215139[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.206349[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.209163[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.215139[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.209163[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.200787[/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]-0.210260[/C][C]Kurtosis (small sample)[/C]-0.830306[/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]-1.925142[/C][C]TEST 1 (small sample)[/C]-3.808635[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.053600[/C][C]TEST 1 Prob. (small sample)[/C]0.000200[/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=103770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103770&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.-74.193983FISHER 4th Cent. Mom.5422.706855
FISHER beta 10.043944FISHER beta 22.165998
FISHER gamma 1-0.209628FISHER gamma 2-0.834002
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.913637FISHER Test 2-3.806680
FISHER Test 1 Probability0.054800FISHER Test 2 Probability0.000200
Pearson 2-0.272788
Yule using Quartile definition:Weighted Average at Xnp-0.215139
Yule using Quartile definition:Weighted Average at X(n+1)p-0.203557
Yule using Quartile definition:Empirical Distribution Function-0.215139
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.206349
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.209163
Yule using Quartile definition:Closest Observation-0.215139
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.209163
Yule using Quartile definition:MS Excel (old versions)-0.200787
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.210260Kurtosis (small sample)-0.830306
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.925142TEST 1 (small sample)-3.808635
TEST 1 Prob. (small sample)0.053600TEST 1 Prob. (small sample)0.000200
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.2103000.053600Trim. Kurtosis (0/500)-0.8303000.000200
Trim. Skewness (1/500)-0.2106000.053600Trim. Kurtosis (1/500)-0.8390000.000200
Trim. Skewness (2/500)-0.2116000.053600Trim. Kurtosis (2/500)-0.8412000.000200
Trim. Skewness (3/500)-0.2129000.052400Trim. Kurtosis (3/500)-0.8432000.000200
Trim. Skewness (4/500)-0.2144000.051200Trim. Kurtosis (4/500)-0.8451000.000200
Trim. Skewness (5/500)-0.2156000.050000Trim. Kurtosis (5/500)-0.8474000.000200
Trim. Skewness (6/500)-0.2160000.050000Trim. Kurtosis (6/500)-0.8474000.000200
Trim. Skewness (7/500)-0.2158000.051200Trim. Kurtosis (7/500)-0.8474000.000200
Trim. Skewness (8/500)-0.2159000.051200Trim. Kurtosis (8/500)-0.8473000.000200
Trim. Skewness (9/500)-0.2174000.050000Trim. Kurtosis (9/500)-0.8450000.000200
Trim. Skewness (10/500)-0.2188000.048800Trim. Kurtosis (10/500)-0.8430000.000200
Trim. Skewness (11/500)-0.2202000.047800Trim. Kurtosis (11/500)-0.8410000.000200
Trim. Skewness (12/500)-0.2218000.046600Trim. Kurtosis (12/500)-0.8390000.000200
Trim. Skewness (13/500)-0.2232000.045600Trim. Kurtosis (13/500)-0.8370000.000200
Trim. Skewness (14/500)-0.2251000.044400Trim. Kurtosis (14/500)-0.8344000.000200
Trim. Skewness (15/500)-0.2266000.043400Trim. Kurtosis (15/500)-0.8318000.000200
Trim. Skewness (16/500)-0.2289000.042400Trim. Kurtosis (16/500)-0.8282000.000200
Trim. Skewness (17/500)-0.2318000.040400Trim. Kurtosis (17/500)-0.8235000.000200
Trim. Skewness (18/500)-0.2349000.037600Trim. Kurtosis (18/500)-0.8189000.000200
Trim. Skewness (19/500)-0.2381000.035800Trim. Kurtosis (19/500)-0.8145000.000400
Trim. Skewness (20/500)-0.2413000.034000Trim. Kurtosis (20/500)-0.8102000.000400
Trim. Skewness (21/500)-0.2447000.031600Trim. Kurtosis (21/500)-0.8057000.000400
Trim. Skewness (22/500)-0.2483000.029200Trim. Kurtosis (22/500)-0.8011000.000400
Trim. Skewness (23/500)-0.2521000.027800Trim. Kurtosis (23/500)-0.7966000.000400
Trim. Skewness (24/500)-0.2557000.025800Trim. Kurtosis (24/500)-0.7920000.000600
Trim. Skewness (25/500)-0.2597000.023800Trim. Kurtosis (25/500)-0.7873000.000600
Trim. Skewness (26/500)-0.2639000.022000Trim. Kurtosis (26/500)-0.7826000.000600
Trim. Skewness (27/500)-0.2683000.019800Trim. Kurtosis (27/500)-0.7781000.000800
Trim. Skewness (28/500)-0.2730000.018200Trim. Kurtosis (28/500)-0.7733000.000800
Trim. Skewness (29/500)-0.2777000.016400Trim. Kurtosis (29/500)-0.7681000.001000
Trim. Skewness (30/500)-0.2823000.015000Trim. Kurtosis (30/500)-0.7626000.001000
Trim. Skewness (31/500)-0.2870000.013600Trim. Kurtosis (31/500)-0.7573000.001200
Trim. Skewness (32/500)-0.2918000.012400Trim. Kurtosis (32/500)-0.7521000.001200
Trim. Skewness (33/500)-0.2969000.011000Trim. Kurtosis (33/500)-0.7466000.001400
Trim. Skewness (34/500)-0.3022000.009800Trim. Kurtosis (34/500)-0.7414000.001600
Trim. Skewness (35/500)-0.3074000.008800Trim. Kurtosis (35/500)-0.7360000.001600
Trim. Skewness (36/500)-0.3132000.007800Trim. Kurtosis (36/500)-0.7304000.001800
Trim. Skewness (37/500)-0.3190000.007000Trim. Kurtosis (37/500)-0.7246000.002000
Trim. Skewness (38/500)-0.3249000.006000Trim. Kurtosis (38/500)-0.7190000.002400
Trim. Skewness (39/500)-0.3303000.005200Trim. Kurtosis (39/500)-0.7127000.002600
Trim. Skewness (40/500)-0.3357000.004800Trim. Kurtosis (40/500)-0.7059000.002800

\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)-0.2103000.053600 & Trim. Kurtosis (0/500)-0.8303000.000200 \tabularnewline Trim. Skewness (1/500)-0.2106000.053600 & Trim. Kurtosis (1/500)-0.8390000.000200 \tabularnewline Trim. Skewness (2/500)-0.2116000.053600 & Trim. Kurtosis (2/500)-0.8412000.000200 \tabularnewline Trim. Skewness (3/500)-0.2129000.052400 & Trim. Kurtosis (3/500)-0.8432000.000200 \tabularnewline Trim. Skewness (4/500)-0.2144000.051200 & Trim. Kurtosis (4/500)-0.8451000.000200 \tabularnewline Trim. Skewness (5/500)-0.2156000.050000 & Trim. Kurtosis (5/500)-0.8474000.000200 \tabularnewline Trim. Skewness (6/500)-0.2160000.050000 & Trim. Kurtosis (6/500)-0.8474000.000200 \tabularnewline Trim. Skewness (7/500)-0.2158000.051200 & Trim. Kurtosis (7/500)-0.8474000.000200 \tabularnewline Trim. Skewness (8/500)-0.2159000.051200 & Trim. Kurtosis (8/500)-0.8473000.000200 \tabularnewline Trim. Skewness (9/500)-0.2174000.050000 & Trim. Kurtosis (9/500)-0.8450000.000200 \tabularnewline Trim. Skewness (10/500)-0.2188000.048800 & Trim. Kurtosis (10/500)-0.8430000.000200 \tabularnewline Trim. Skewness (11/500)-0.2202000.047800 & Trim. Kurtosis (11/500)-0.8410000.000200 \tabularnewline Trim. Skewness (12/500)-0.2218000.046600 & Trim. Kurtosis (12/500)-0.8390000.000200 \tabularnewline Trim. Skewness (13/500)-0.2232000.045600 & Trim. Kurtosis (13/500)-0.8370000.000200 \tabularnewline Trim. Skewness (14/500)-0.2251000.044400 & Trim. Kurtosis (14/500)-0.8344000.000200 \tabularnewline Trim. Skewness (15/500)-0.2266000.043400 & Trim. Kurtosis (15/500)-0.8318000.000200 \tabularnewline Trim. Skewness (16/500)-0.2289000.042400 & Trim. Kurtosis (16/500)-0.8282000.000200 \tabularnewline Trim. Skewness (17/500)-0.2318000.040400 & Trim. Kurtosis (17/500)-0.8235000.000200 \tabularnewline Trim. Skewness (18/500)-0.2349000.037600 & Trim. Kurtosis (18/500)-0.8189000.000200 \tabularnewline Trim. Skewness (19/500)-0.2381000.035800 & Trim. Kurtosis (19/500)-0.8145000.000400 \tabularnewline Trim. Skewness (20/500)-0.2413000.034000 & Trim. Kurtosis (20/500)-0.8102000.000400 \tabularnewline Trim. Skewness (21/500)-0.2447000.031600 & Trim. Kurtosis (21/500)-0.8057000.000400 \tabularnewline Trim. Skewness (22/500)-0.2483000.029200 & Trim. Kurtosis (22/500)-0.8011000.000400 \tabularnewline Trim. Skewness (23/500)-0.2521000.027800 & Trim. Kurtosis (23/500)-0.7966000.000400 \tabularnewline Trim. Skewness (24/500)-0.2557000.025800 & Trim. Kurtosis (24/500)-0.7920000.000600 \tabularnewline Trim. Skewness (25/500)-0.2597000.023800 & Trim. Kurtosis (25/500)-0.7873000.000600 \tabularnewline Trim. Skewness (26/500)-0.2639000.022000 & Trim. Kurtosis (26/500)-0.7826000.000600 \tabularnewline Trim. Skewness (27/500)-0.2683000.019800 & Trim. Kurtosis (27/500)-0.7781000.000800 \tabularnewline Trim. Skewness (28/500)-0.2730000.018200 & Trim. Kurtosis (28/500)-0.7733000.000800 \tabularnewline Trim. Skewness (29/500)-0.2777000.016400 & Trim. Kurtosis (29/500)-0.7681000.001000 \tabularnewline Trim. Skewness (30/500)-0.2823000.015000 & Trim. Kurtosis (30/500)-0.7626000.001000 \tabularnewline Trim. Skewness (31/500)-0.2870000.013600 & Trim. Kurtosis (31/500)-0.7573000.001200 \tabularnewline Trim. Skewness (32/500)-0.2918000.012400 & Trim. Kurtosis (32/500)-0.7521000.001200 \tabularnewline Trim. Skewness (33/500)-0.2969000.011000 & Trim. Kurtosis (33/500)-0.7466000.001400 \tabularnewline Trim. Skewness (34/500)-0.3022000.009800 & Trim. Kurtosis (34/500)-0.7414000.001600 \tabularnewline Trim. Skewness (35/500)-0.3074000.008800 & Trim. Kurtosis (35/500)-0.7360000.001600 \tabularnewline Trim. Skewness (36/500)-0.3132000.007800 & Trim. Kurtosis (36/500)-0.7304000.001800 \tabularnewline Trim. Skewness (37/500)-0.3190000.007000 & Trim. Kurtosis (37/500)-0.7246000.002000 \tabularnewline Trim. Skewness (38/500)-0.3249000.006000 & Trim. Kurtosis (38/500)-0.7190000.002400 \tabularnewline Trim. Skewness (39/500)-0.3303000.005200 & Trim. Kurtosis (39/500)-0.7127000.002600 \tabularnewline Trim. Skewness (40/500)-0.3357000.004800 & Trim. Kurtosis (40/500)-0.7059000.002800 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103770&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]-0.210300[/C]0.053600[/C][C]Trim. Kurtosis (0/500)[/C]-0.830300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.210600[/C]0.053600[/C][C]Trim. Kurtosis (1/500)[/C]-0.839000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.211600[/C]0.053600[/C][C]Trim. Kurtosis (2/500)[/C]-0.841200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.212900[/C]0.052400[/C][C]Trim. Kurtosis (3/500)[/C]-0.843200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.214400[/C]0.051200[/C][C]Trim. Kurtosis (4/500)[/C]-0.845100[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.215600[/C]0.050000[/C][C]Trim. Kurtosis (5/500)[/C]-0.847400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.216000[/C]0.050000[/C][C]Trim. Kurtosis (6/500)[/C]-0.847400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.215800[/C]0.051200[/C][C]Trim. Kurtosis (7/500)[/C]-0.847400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.215900[/C]0.051200[/C][C]Trim. Kurtosis (8/500)[/C]-0.847300[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.217400[/C]0.050000[/C][C]Trim. Kurtosis (9/500)[/C]-0.845000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.218800[/C]0.048800[/C][C]Trim. Kurtosis (10/500)[/C]-0.843000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.220200[/C]0.047800[/C][C]Trim. Kurtosis (11/500)[/C]-0.841000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.221800[/C]0.046600[/C][C]Trim. Kurtosis (12/500)[/C]-0.839000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.223200[/C]0.045600[/C][C]Trim. Kurtosis (13/500)[/C]-0.837000[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.225100[/C]0.044400[/C][C]Trim. Kurtosis (14/500)[/C]-0.834400[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.226600[/C]0.043400[/C][C]Trim. Kurtosis (15/500)[/C]-0.831800[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.228900[/C]0.042400[/C][C]Trim. Kurtosis (16/500)[/C]-0.828200[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.231800[/C]0.040400[/C][C]Trim. Kurtosis (17/500)[/C]-0.823500[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.234900[/C]0.037600[/C][C]Trim. Kurtosis (18/500)[/C]-0.818900[/C]0.000200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.238100[/C]0.035800[/C][C]Trim. Kurtosis (19/500)[/C]-0.814500[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.241300[/C]0.034000[/C][C]Trim. Kurtosis (20/500)[/C]-0.810200[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.244700[/C]0.031600[/C][C]Trim. Kurtosis (21/500)[/C]-0.805700[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.248300[/C]0.029200[/C][C]Trim. Kurtosis (22/500)[/C]-0.801100[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.252100[/C]0.027800[/C][C]Trim. Kurtosis (23/500)[/C]-0.796600[/C]0.000400[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.255700[/C]0.025800[/C][C]Trim. Kurtosis (24/500)[/C]-0.792000[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.259700[/C]0.023800[/C][C]Trim. Kurtosis (25/500)[/C]-0.787300[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.263900[/C]0.022000[/C][C]Trim. Kurtosis (26/500)[/C]-0.782600[/C]0.000600[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.268300[/C]0.019800[/C][C]Trim. Kurtosis (27/500)[/C]-0.778100[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.273000[/C]0.018200[/C][C]Trim. Kurtosis (28/500)[/C]-0.773300[/C]0.000800[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.277700[/C]0.016400[/C][C]Trim. Kurtosis (29/500)[/C]-0.768100[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.282300[/C]0.015000[/C][C]Trim. Kurtosis (30/500)[/C]-0.762600[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.287000[/C]0.013600[/C][C]Trim. Kurtosis (31/500)[/C]-0.757300[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.291800[/C]0.012400[/C][C]Trim. Kurtosis (32/500)[/C]-0.752100[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.296900[/C]0.011000[/C][C]Trim. Kurtosis (33/500)[/C]-0.746600[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.302200[/C]0.009800[/C][C]Trim. Kurtosis (34/500)[/C]-0.741400[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.307400[/C]0.008800[/C][C]Trim. Kurtosis (35/500)[/C]-0.736000[/C]0.001600[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.313200[/C]0.007800[/C][C]Trim. Kurtosis (36/500)[/C]-0.730400[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.319000[/C]0.007000[/C][C]Trim. Kurtosis (37/500)[/C]-0.724600[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.324900[/C]0.006000[/C][C]Trim. Kurtosis (38/500)[/C]-0.719000[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.330300[/C]0.005200[/C][C]Trim. Kurtosis (39/500)[/C]-0.712700[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.335700[/C]0.004800[/C][C]Trim. Kurtosis (40/500)[/C]-0.705900[/C]0.002800[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103770&T=1

As an alternative you can also use a QR Code:  
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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 (0/500)-0.2103000.053600Trim. Kurtosis (0/500)-0.8303000.000200
Trim. Skewness (1/500)-0.2106000.053600Trim. Kurtosis (1/500)-0.8390000.000200
Trim. Skewness (2/500)-0.2116000.053600Trim. Kurtosis (2/500)-0.8412000.000200
Trim. Skewness (3/500)-0.2129000.052400Trim. Kurtosis (3/500)-0.8432000.000200
Trim. Skewness (4/500)-0.2144000.051200Trim. Kurtosis (4/500)-0.8451000.000200
Trim. Skewness (5/500)-0.2156000.050000Trim. Kurtosis (5/500)-0.8474000.000200
Trim. Skewness (6/500)-0.2160000.050000Trim. Kurtosis (6/500)-0.8474000.000200
Trim. Skewness (7/500)-0.2158000.051200Trim. Kurtosis (7/500)-0.8474000.000200
Trim. Skewness (8/500)-0.2159000.051200Trim. Kurtosis (8/500)-0.8473000.000200
Trim. Skewness (9/500)-0.2174000.050000Trim. Kurtosis (9/500)-0.8450000.000200
Trim. Skewness (10/500)-0.2188000.048800Trim. Kurtosis (10/500)-0.8430000.000200
Trim. Skewness (11/500)-0.2202000.047800Trim. Kurtosis (11/500)-0.8410000.000200
Trim. Skewness (12/500)-0.2218000.046600Trim. Kurtosis (12/500)-0.8390000.000200
Trim. Skewness (13/500)-0.2232000.045600Trim. Kurtosis (13/500)-0.8370000.000200
Trim. Skewness (14/500)-0.2251000.044400Trim. Kurtosis (14/500)-0.8344000.000200
Trim. Skewness (15/500)-0.2266000.043400Trim. Kurtosis (15/500)-0.8318000.000200
Trim. Skewness (16/500)-0.2289000.042400Trim. Kurtosis (16/500)-0.8282000.000200
Trim. Skewness (17/500)-0.2318000.040400Trim. Kurtosis (17/500)-0.8235000.000200
Trim. Skewness (18/500)-0.2349000.037600Trim. Kurtosis (18/500)-0.8189000.000200
Trim. Skewness (19/500)-0.2381000.035800Trim. Kurtosis (19/500)-0.8145000.000400
Trim. Skewness (20/500)-0.2413000.034000Trim. Kurtosis (20/500)-0.8102000.000400
Trim. Skewness (21/500)-0.2447000.031600Trim. Kurtosis (21/500)-0.8057000.000400
Trim. Skewness (22/500)-0.2483000.029200Trim. Kurtosis (22/500)-0.8011000.000400
Trim. Skewness (23/500)-0.2521000.027800Trim. Kurtosis (23/500)-0.7966000.000400
Trim. Skewness (24/500)-0.2557000.025800Trim. Kurtosis (24/500)-0.7920000.000600
Trim. Skewness (25/500)-0.2597000.023800Trim. Kurtosis (25/500)-0.7873000.000600
Trim. Skewness (26/500)-0.2639000.022000Trim. Kurtosis (26/500)-0.7826000.000600
Trim. Skewness (27/500)-0.2683000.019800Trim. Kurtosis (27/500)-0.7781000.000800
Trim. Skewness (28/500)-0.2730000.018200Trim. Kurtosis (28/500)-0.7733000.000800
Trim. Skewness (29/500)-0.2777000.016400Trim. Kurtosis (29/500)-0.7681000.001000
Trim. Skewness (30/500)-0.2823000.015000Trim. Kurtosis (30/500)-0.7626000.001000
Trim. Skewness (31/500)-0.2870000.013600Trim. Kurtosis (31/500)-0.7573000.001200
Trim. Skewness (32/500)-0.2918000.012400Trim. Kurtosis (32/500)-0.7521000.001200
Trim. Skewness (33/500)-0.2969000.011000Trim. Kurtosis (33/500)-0.7466000.001400
Trim. Skewness (34/500)-0.3022000.009800Trim. Kurtosis (34/500)-0.7414000.001600
Trim. Skewness (35/500)-0.3074000.008800Trim. Kurtosis (35/500)-0.7360000.001600
Trim. Skewness (36/500)-0.3132000.007800Trim. Kurtosis (36/500)-0.7304000.001800
Trim. Skewness (37/500)-0.3190000.007000Trim. Kurtosis (37/500)-0.7246000.002000
Trim. Skewness (38/500)-0.3249000.006000Trim. Kurtosis (38/500)-0.7190000.002400
Trim. Skewness (39/500)-0.3303000.005200Trim. Kurtosis (39/500)-0.7127000.002600
Trim. Skewness (40/500)-0.3357000.004800Trim. Kurtosis (40/500)-0.7059000.002800


Figures (Output of Computation)

Input Parameters & R Code

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