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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 19:06:12 +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/t1291143855f6bd866mlo89sjw.htm/, Retrieved Mon, 29 Apr 2024 13:35:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103766, Retrieved Mon, 29 Apr 2024 13:35:23 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

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 19:06:12] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

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

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1379.498322FISHER 4th Cent. Mom.112835.923445
FISHER beta 10.218225FISHER beta 22.663311
FISHER gamma 1-0.467145FISHER gamma 2-0.336689
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-4.264434FISHER Test 2-1.536770
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.123600
Pearson 2-0.423700
Yule using Quartile definition:Weighted Average at Xnp-0.186331
Yule using Quartile definition:Weighted Average at X(n+1)p-0.182550
Yule using Quartile definition:Empirical Distribution Function-0.186331
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.182581
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.182612
Yule using Quartile definition:Closest Observation-0.186331
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.182612
Yule using Quartile definition:MS Excel (old versions)-0.182519
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.468552Kurtosis (small sample)-0.327984
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-4.290072TEST 1 (small sample)-1.504472
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.131000
Observations500

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1379.498322 & FISHER 4th Cent. Mom.112835.923445 \tabularnewline FISHER beta 10.218225 & FISHER beta 22.663311 \tabularnewline FISHER gamma 1-0.467145 & FISHER gamma 2-0.336689 \tabularnewline FISHER gamma 1 (S.E.)0.109545 & FISHER gamma 2 (S.E.)0.219089 \tabularnewline FISHER Test 1-4.264434 & FISHER Test 2-1.536770 \tabularnewline FISHER Test 1 Probability0.000000 & FISHER Test 2 Probability0.123600 \tabularnewline Pearson 2-0.423700 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp-0.186331 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p-0.182550 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function-0.186331 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging-0.182581 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.182612 & & \tabularnewline Yule using Quartile definition:Closest Observation-0.186331 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.182612 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)-0.182519 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.468552 & Kurtosis (small sample)-0.327984 \tabularnewline Skewness S.E. (small sample)0.109218 & Kurtosis S.E. (small sample)0.218006 \tabularnewline TEST 1 (small sample)-4.290072 & TEST 1 (small sample)-1.504472 \tabularnewline TEST 1 Prob. (small sample)0.000000 & TEST 1 Prob. (small sample)0.131000 \tabularnewline Observations500 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103766&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]-1379.498322[/C][C]FISHER 4th Cent. Mom.[/C]112835.923445[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.218225[/C][C]FISHER beta 2[/C]2.663311[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.467145[/C][C]FISHER gamma 2[/C]-0.336689[/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]-4.264434[/C][C]FISHER Test 2[/C]-1.536770[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.000000[/C][C]FISHER Test 2 Probability[/C]0.123600[/C][/ROW] [ROW][C]Pearson 2[/C]-0.423700[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]-0.186331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]-0.182550[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]-0.186331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]-0.182581[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]-0.182612[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]-0.186331[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]-0.182612[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]-0.182519[/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]-0.468552[/C][C]Kurtosis (small sample)[/C]-0.327984[/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]-4.290072[/C][C]TEST 1 (small sample)[/C]-1.504472[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.000000[/C][C]TEST 1 Prob. (small sample)[/C]0.131000[/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=103766&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103766&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.-1379.498322FISHER 4th Cent. Mom.112835.923445
FISHER beta 10.218225FISHER beta 22.663311
FISHER gamma 1-0.467145FISHER gamma 2-0.336689
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-4.264434FISHER Test 2-1.536770
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.123600
Pearson 2-0.423700
Yule using Quartile definition:Weighted Average at Xnp-0.186331
Yule using Quartile definition:Weighted Average at X(n+1)p-0.182550
Yule using Quartile definition:Empirical Distribution Function-0.186331
Yule using Quartile definition:Empirical Distribution Function - Averaging-0.182581
Yule using Quartile definition:Empirical Distribution Function - Interpolation-0.182612
Yule using Quartile definition:Closest Observation-0.186331
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit-0.182612
Yule using Quartile definition:MS Excel (old versions)-0.182519
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.468552Kurtosis (small sample)-0.327984
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-4.290072TEST 1 (small sample)-1.504472
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.131000
Observations500






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.4686000.000000Trim. Kurtosis (0/500)-0.3280000.131000
Trim. Skewness (1/500)-0.4673000.000000Trim. Kurtosis (1/500)-0.3388000.118800
Trim. Skewness (2/500)-0.4651000.000000Trim. Kurtosis (2/500)-0.3505000.107400
Trim. Skewness (3/500)-0.4648000.000000Trim. Kurtosis (3/500)-0.3577000.101000
Trim. Skewness (4/500)-0.4649000.000000Trim. Kurtosis (4/500)-0.3644000.097000
Trim. Skewness (5/500)-0.4650000.000000Trim. Kurtosis (5/500)-0.3689000.093000
Trim. Skewness (6/500)-0.4662000.000000Trim. Kurtosis (6/500)-0.3707000.091000
Trim. Skewness (7/500)-0.4685000.000000Trim. Kurtosis (7/500)-0.3693000.093000
Trim. Skewness (8/500)-0.4709000.000000Trim. Kurtosis (8/500)-0.3685000.095000
Trim. Skewness (9/500)-0.4738000.000000Trim. Kurtosis (9/500)-0.3665000.097000
Trim. Skewness (10/500)-0.4770000.000000Trim. Kurtosis (10/500)-0.3645000.101000
Trim. Skewness (11/500)-0.4801000.000000Trim. Kurtosis (11/500)-0.3623000.103200
Trim. Skewness (12/500)-0.4830000.000000Trim. Kurtosis (12/500)-0.3595000.107400
Trim. Skewness (13/500)-0.4845000.000000Trim. Kurtosis (13/500)-0.3564000.109600
Trim. Skewness (14/500)-0.4864000.000000Trim. Kurtosis (14/500)-0.3527000.114200
Trim. Skewness (15/500)-0.4888000.000000Trim. Kurtosis (15/500)-0.3481000.121200
Trim. Skewness (16/500)-0.4914000.000000Trim. Kurtosis (16/500)-0.3420000.128600
Trim. Skewness (17/500)-0.4939000.000000Trim. Kurtosis (17/500)-0.3363000.136200
Trim. Skewness (18/500)-0.4970000.000000Trim. Kurtosis (18/500)-0.3297000.144200
Trim. Skewness (19/500)-0.5006000.000000Trim. Kurtosis (19/500)-0.3220000.152800
Trim. Skewness (20/500)-0.5041000.000000Trim. Kurtosis (20/500)-0.3140000.164600
Trim. Skewness (21/500)-0.5073000.000000Trim. Kurtosis (21/500)-0.3060000.177000
Trim. Skewness (22/500)-0.5103000.000000Trim. Kurtosis (22/500)-0.2979000.190200
Trim. Skewness (23/500)-0.5127000.000000Trim. Kurtosis (23/500)-0.2893000.204000
Trim. Skewness (24/500)-0.5149000.000000Trim. Kurtosis (24/500)-0.2809000.218600
Trim. Skewness (25/500)-0.5171000.000000Trim. Kurtosis (25/500)-0.2727000.234000
Trim. Skewness (26/500)-0.5192000.000000Trim. Kurtosis (26/500)-0.2646000.250200
Trim. Skewness (27/500)-0.5213000.000000Trim. Kurtosis (27/500)-0.2569000.262800
Trim. Skewness (28/500)-0.5237000.000000Trim. Kurtosis (28/500)-0.2487000.280200
Trim. Skewness (29/500)-0.5259000.000000Trim. Kurtosis (29/500)-0.2411000.293800
Trim. Skewness (30/500)-0.5279000.000000Trim. Kurtosis (30/500)-0.2341000.312400
Trim. Skewness (31/500)-0.5298000.000000Trim. Kurtosis (31/500)-0.2276000.327000
Trim. Skewness (32/500)-0.5329000.000000Trim. Kurtosis (32/500)-0.2177000.347200
Trim. Skewness (33/500)-0.5355000.000000Trim. Kurtosis (33/500)-0.2080000.373400
Trim. Skewness (34/500)-0.5381000.000000Trim. Kurtosis (34/500)-0.1984000.395400
Trim. Skewness (35/500)-0.5407000.000000Trim. Kurtosis (35/500)-0.1886000.418000
Trim. Skewness (36/500)-0.5431000.000000Trim. Kurtosis (36/500)-0.1789000.447200
Trim. Skewness (37/500)-0.5465000.000000Trim. Kurtosis (37/500)-0.1665000.477600
Trim. Skewness (38/500)-0.5494000.000000Trim. Kurtosis (38/500)-0.1544000.509200
Trim. Skewness (39/500)-0.5523000.000000Trim. Kurtosis (39/500)-0.1427000.541800
Trim. Skewness (40/500)-0.5550000.000000Trim. Kurtosis (40/500)-0.1317000.575400

\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)-0.4686000.000000 & Trim. Kurtosis (0/500)-0.3280000.131000 \tabularnewline Trim. Skewness (1/500)-0.4673000.000000 & Trim. Kurtosis (1/500)-0.3388000.118800 \tabularnewline Trim. Skewness (2/500)-0.4651000.000000 & Trim. Kurtosis (2/500)-0.3505000.107400 \tabularnewline Trim. Skewness (3/500)-0.4648000.000000 & Trim. Kurtosis (3/500)-0.3577000.101000 \tabularnewline Trim. Skewness (4/500)-0.4649000.000000 & Trim. Kurtosis (4/500)-0.3644000.097000 \tabularnewline Trim. Skewness (5/500)-0.4650000.000000 & Trim. Kurtosis (5/500)-0.3689000.093000 \tabularnewline Trim. Skewness (6/500)-0.4662000.000000 & Trim. Kurtosis (6/500)-0.3707000.091000 \tabularnewline Trim. Skewness (7/500)-0.4685000.000000 & Trim. Kurtosis (7/500)-0.3693000.093000 \tabularnewline Trim. Skewness (8/500)-0.4709000.000000 & Trim. Kurtosis (8/500)-0.3685000.095000 \tabularnewline Trim. Skewness (9/500)-0.4738000.000000 & Trim. Kurtosis (9/500)-0.3665000.097000 \tabularnewline Trim. Skewness (10/500)-0.4770000.000000 & Trim. Kurtosis (10/500)-0.3645000.101000 \tabularnewline Trim. Skewness (11/500)-0.4801000.000000 & Trim. Kurtosis (11/500)-0.3623000.103200 \tabularnewline Trim. Skewness (12/500)-0.4830000.000000 & Trim. Kurtosis (12/500)-0.3595000.107400 \tabularnewline Trim. Skewness (13/500)-0.4845000.000000 & Trim. Kurtosis (13/500)-0.3564000.109600 \tabularnewline Trim. Skewness (14/500)-0.4864000.000000 & Trim. Kurtosis (14/500)-0.3527000.114200 \tabularnewline Trim. Skewness (15/500)-0.4888000.000000 & Trim. Kurtosis (15/500)-0.3481000.121200 \tabularnewline Trim. Skewness (16/500)-0.4914000.000000 & Trim. Kurtosis (16/500)-0.3420000.128600 \tabularnewline Trim. Skewness (17/500)-0.4939000.000000 & Trim. Kurtosis (17/500)-0.3363000.136200 \tabularnewline Trim. Skewness (18/500)-0.4970000.000000 & Trim. Kurtosis (18/500)-0.3297000.144200 \tabularnewline Trim. Skewness (19/500)-0.5006000.000000 & Trim. Kurtosis (19/500)-0.3220000.152800 \tabularnewline Trim. Skewness (20/500)-0.5041000.000000 & Trim. Kurtosis (20/500)-0.3140000.164600 \tabularnewline Trim. Skewness (21/500)-0.5073000.000000 & Trim. Kurtosis (21/500)-0.3060000.177000 \tabularnewline Trim. Skewness (22/500)-0.5103000.000000 & Trim. Kurtosis (22/500)-0.2979000.190200 \tabularnewline Trim. Skewness (23/500)-0.5127000.000000 & Trim. Kurtosis (23/500)-0.2893000.204000 \tabularnewline Trim. Skewness (24/500)-0.5149000.000000 & Trim. Kurtosis (24/500)-0.2809000.218600 \tabularnewline Trim. Skewness (25/500)-0.5171000.000000 & Trim. Kurtosis (25/500)-0.2727000.234000 \tabularnewline Trim. Skewness (26/500)-0.5192000.000000 & Trim. Kurtosis (26/500)-0.2646000.250200 \tabularnewline Trim. Skewness (27/500)-0.5213000.000000 & Trim. Kurtosis (27/500)-0.2569000.262800 \tabularnewline Trim. Skewness (28/500)-0.5237000.000000 & Trim. Kurtosis (28/500)-0.2487000.280200 \tabularnewline Trim. Skewness (29/500)-0.5259000.000000 & Trim. Kurtosis (29/500)-0.2411000.293800 \tabularnewline Trim. Skewness (30/500)-0.5279000.000000 & Trim. Kurtosis (30/500)-0.2341000.312400 \tabularnewline Trim. Skewness (31/500)-0.5298000.000000 & Trim. Kurtosis (31/500)-0.2276000.327000 \tabularnewline Trim. Skewness (32/500)-0.5329000.000000 & Trim. Kurtosis (32/500)-0.2177000.347200 \tabularnewline Trim. Skewness (33/500)-0.5355000.000000 & Trim. Kurtosis (33/500)-0.2080000.373400 \tabularnewline Trim. Skewness (34/500)-0.5381000.000000 & Trim. Kurtosis (34/500)-0.1984000.395400 \tabularnewline Trim. Skewness (35/500)-0.5407000.000000 & Trim. Kurtosis (35/500)-0.1886000.418000 \tabularnewline Trim. Skewness (36/500)-0.5431000.000000 & Trim. Kurtosis (36/500)-0.1789000.447200 \tabularnewline Trim. Skewness (37/500)-0.5465000.000000 & Trim. Kurtosis (37/500)-0.1665000.477600 \tabularnewline Trim. Skewness (38/500)-0.5494000.000000 & Trim. Kurtosis (38/500)-0.1544000.509200 \tabularnewline Trim. Skewness (39/500)-0.5523000.000000 & Trim. Kurtosis (39/500)-0.1427000.541800 \tabularnewline Trim. Skewness (40/500)-0.5550000.000000 & Trim. Kurtosis (40/500)-0.1317000.575400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103766&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]-0.468600[/C]0.000000[/C][C]Trim. Kurtosis (0/500)[/C]-0.328000[/C]0.131000[/C][/ROW] [ROW][C]Trim. Skewness (1/500)[/C]-0.467300[/C]0.000000[/C][C]Trim. Kurtosis (1/500)[/C]-0.338800[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (2/500)[/C]-0.465100[/C]0.000000[/C][C]Trim. Kurtosis (2/500)[/C]-0.350500[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (3/500)[/C]-0.464800[/C]0.000000[/C][C]Trim. Kurtosis (3/500)[/C]-0.357700[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (4/500)[/C]-0.464900[/C]0.000000[/C][C]Trim. Kurtosis (4/500)[/C]-0.364400[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (5/500)[/C]-0.465000[/C]0.000000[/C][C]Trim. Kurtosis (5/500)[/C]-0.368900[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (6/500)[/C]-0.466200[/C]0.000000[/C][C]Trim. Kurtosis (6/500)[/C]-0.370700[/C]0.091000[/C][/ROW] [ROW][C]Trim. Skewness (7/500)[/C]-0.468500[/C]0.000000[/C][C]Trim. Kurtosis (7/500)[/C]-0.369300[/C]0.093000[/C][/ROW] [ROW][C]Trim. Skewness (8/500)[/C]-0.470900[/C]0.000000[/C][C]Trim. Kurtosis (8/500)[/C]-0.368500[/C]0.095000[/C][/ROW] [ROW][C]Trim. Skewness (9/500)[/C]-0.473800[/C]0.000000[/C][C]Trim. Kurtosis (9/500)[/C]-0.366500[/C]0.097000[/C][/ROW] [ROW][C]Trim. Skewness (10/500)[/C]-0.477000[/C]0.000000[/C][C]Trim. Kurtosis (10/500)[/C]-0.364500[/C]0.101000[/C][/ROW] [ROW][C]Trim. Skewness (11/500)[/C]-0.480100[/C]0.000000[/C][C]Trim. Kurtosis (11/500)[/C]-0.362300[/C]0.103200[/C][/ROW] [ROW][C]Trim. Skewness (12/500)[/C]-0.483000[/C]0.000000[/C][C]Trim. Kurtosis (12/500)[/C]-0.359500[/C]0.107400[/C][/ROW] [ROW][C]Trim. Skewness (13/500)[/C]-0.484500[/C]0.000000[/C][C]Trim. Kurtosis (13/500)[/C]-0.356400[/C]0.109600[/C][/ROW] [ROW][C]Trim. Skewness (14/500)[/C]-0.486400[/C]0.000000[/C][C]Trim. Kurtosis (14/500)[/C]-0.352700[/C]0.114200[/C][/ROW] [ROW][C]Trim. Skewness (15/500)[/C]-0.488800[/C]0.000000[/C][C]Trim. Kurtosis (15/500)[/C]-0.348100[/C]0.121200[/C][/ROW] [ROW][C]Trim. Skewness (16/500)[/C]-0.491400[/C]0.000000[/C][C]Trim. Kurtosis (16/500)[/C]-0.342000[/C]0.128600[/C][/ROW] [ROW][C]Trim. Skewness (17/500)[/C]-0.493900[/C]0.000000[/C][C]Trim. Kurtosis (17/500)[/C]-0.336300[/C]0.136200[/C][/ROW] [ROW][C]Trim. Skewness (18/500)[/C]-0.497000[/C]0.000000[/C][C]Trim. Kurtosis (18/500)[/C]-0.329700[/C]0.144200[/C][/ROW] [ROW][C]Trim. Skewness (19/500)[/C]-0.500600[/C]0.000000[/C][C]Trim. Kurtosis (19/500)[/C]-0.322000[/C]0.152800[/C][/ROW] [ROW][C]Trim. Skewness (20/500)[/C]-0.504100[/C]0.000000[/C][C]Trim. Kurtosis (20/500)[/C]-0.314000[/C]0.164600[/C][/ROW] [ROW][C]Trim. Skewness (21/500)[/C]-0.507300[/C]0.000000[/C][C]Trim. Kurtosis (21/500)[/C]-0.306000[/C]0.177000[/C][/ROW] [ROW][C]Trim. Skewness (22/500)[/C]-0.510300[/C]0.000000[/C][C]Trim. Kurtosis (22/500)[/C]-0.297900[/C]0.190200[/C][/ROW] [ROW][C]Trim. Skewness (23/500)[/C]-0.512700[/C]0.000000[/C][C]Trim. Kurtosis (23/500)[/C]-0.289300[/C]0.204000[/C][/ROW] [ROW][C]Trim. Skewness (24/500)[/C]-0.514900[/C]0.000000[/C][C]Trim. Kurtosis (24/500)[/C]-0.280900[/C]0.218600[/C][/ROW] [ROW][C]Trim. Skewness (25/500)[/C]-0.517100[/C]0.000000[/C][C]Trim. Kurtosis (25/500)[/C]-0.272700[/C]0.234000[/C][/ROW] [ROW][C]Trim. Skewness (26/500)[/C]-0.519200[/C]0.000000[/C][C]Trim. Kurtosis (26/500)[/C]-0.264600[/C]0.250200[/C][/ROW] [ROW][C]Trim. Skewness (27/500)[/C]-0.521300[/C]0.000000[/C][C]Trim. Kurtosis (27/500)[/C]-0.256900[/C]0.262800[/C][/ROW] [ROW][C]Trim. Skewness (28/500)[/C]-0.523700[/C]0.000000[/C][C]Trim. Kurtosis (28/500)[/C]-0.248700[/C]0.280200[/C][/ROW] [ROW][C]Trim. Skewness (29/500)[/C]-0.525900[/C]0.000000[/C][C]Trim. Kurtosis (29/500)[/C]-0.241100[/C]0.293800[/C][/ROW] [ROW][C]Trim. Skewness (30/500)[/C]-0.527900[/C]0.000000[/C][C]Trim. Kurtosis (30/500)[/C]-0.234100[/C]0.312400[/C][/ROW] [ROW][C]Trim. Skewness (31/500)[/C]-0.529800[/C]0.000000[/C][C]Trim. Kurtosis (31/500)[/C]-0.227600[/C]0.327000[/C][/ROW] [ROW][C]Trim. Skewness (32/500)[/C]-0.532900[/C]0.000000[/C][C]Trim. Kurtosis (32/500)[/C]-0.217700[/C]0.347200[/C][/ROW] [ROW][C]Trim. Skewness (33/500)[/C]-0.535500[/C]0.000000[/C][C]Trim. Kurtosis (33/500)[/C]-0.208000[/C]0.373400[/C][/ROW] [ROW][C]Trim. Skewness (34/500)[/C]-0.538100[/C]0.000000[/C][C]Trim. Kurtosis (34/500)[/C]-0.198400[/C]0.395400[/C][/ROW] [ROW][C]Trim. Skewness (35/500)[/C]-0.540700[/C]0.000000[/C][C]Trim. Kurtosis (35/500)[/C]-0.188600[/C]0.418000[/C][/ROW] [ROW][C]Trim. Skewness (36/500)[/C]-0.543100[/C]0.000000[/C][C]Trim. Kurtosis (36/500)[/C]-0.178900[/C]0.447200[/C][/ROW] [ROW][C]Trim. Skewness (37/500)[/C]-0.546500[/C]0.000000[/C][C]Trim. Kurtosis (37/500)[/C]-0.166500[/C]0.477600[/C][/ROW] [ROW][C]Trim. Skewness (38/500)[/C]-0.549400[/C]0.000000[/C][C]Trim. Kurtosis (38/500)[/C]-0.154400[/C]0.509200[/C][/ROW] [ROW][C]Trim. Skewness (39/500)[/C]-0.552300[/C]0.000000[/C][C]Trim. Kurtosis (39/500)[/C]-0.142700[/C]0.541800[/C][/ROW] [ROW][C]Trim. Skewness (40/500)[/C]-0.555000[/C]0.000000[/C][C]Trim. Kurtosis (40/500)[/C]-0.131700[/C]0.575400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103766&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103766&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)-0.4686000.000000Trim. Kurtosis (0/500)-0.3280000.131000
Trim. Skewness (1/500)-0.4673000.000000Trim. Kurtosis (1/500)-0.3388000.118800
Trim. Skewness (2/500)-0.4651000.000000Trim. Kurtosis (2/500)-0.3505000.107400
Trim. Skewness (3/500)-0.4648000.000000Trim. Kurtosis (3/500)-0.3577000.101000
Trim. Skewness (4/500)-0.4649000.000000Trim. Kurtosis (4/500)-0.3644000.097000
Trim. Skewness (5/500)-0.4650000.000000Trim. Kurtosis (5/500)-0.3689000.093000
Trim. Skewness (6/500)-0.4662000.000000Trim. Kurtosis (6/500)-0.3707000.091000
Trim. Skewness (7/500)-0.4685000.000000Trim. Kurtosis (7/500)-0.3693000.093000
Trim. Skewness (8/500)-0.4709000.000000Trim. Kurtosis (8/500)-0.3685000.095000
Trim. Skewness (9/500)-0.4738000.000000Trim. Kurtosis (9/500)-0.3665000.097000
Trim. Skewness (10/500)-0.4770000.000000Trim. Kurtosis (10/500)-0.3645000.101000
Trim. Skewness (11/500)-0.4801000.000000Trim. Kurtosis (11/500)-0.3623000.103200
Trim. Skewness (12/500)-0.4830000.000000Trim. Kurtosis (12/500)-0.3595000.107400
Trim. Skewness (13/500)-0.4845000.000000Trim. Kurtosis (13/500)-0.3564000.109600
Trim. Skewness (14/500)-0.4864000.000000Trim. Kurtosis (14/500)-0.3527000.114200
Trim. Skewness (15/500)-0.4888000.000000Trim. Kurtosis (15/500)-0.3481000.121200
Trim. Skewness (16/500)-0.4914000.000000Trim. Kurtosis (16/500)-0.3420000.128600
Trim. Skewness (17/500)-0.4939000.000000Trim. Kurtosis (17/500)-0.3363000.136200
Trim. Skewness (18/500)-0.4970000.000000Trim. Kurtosis (18/500)-0.3297000.144200
Trim. Skewness (19/500)-0.5006000.000000Trim. Kurtosis (19/500)-0.3220000.152800
Trim. Skewness (20/500)-0.5041000.000000Trim. Kurtosis (20/500)-0.3140000.164600
Trim. Skewness (21/500)-0.5073000.000000Trim. Kurtosis (21/500)-0.3060000.177000
Trim. Skewness (22/500)-0.5103000.000000Trim. Kurtosis (22/500)-0.2979000.190200
Trim. Skewness (23/500)-0.5127000.000000Trim. Kurtosis (23/500)-0.2893000.204000
Trim. Skewness (24/500)-0.5149000.000000Trim. Kurtosis (24/500)-0.2809000.218600
Trim. Skewness (25/500)-0.5171000.000000Trim. Kurtosis (25/500)-0.2727000.234000
Trim. Skewness (26/500)-0.5192000.000000Trim. Kurtosis (26/500)-0.2646000.250200
Trim. Skewness (27/500)-0.5213000.000000Trim. Kurtosis (27/500)-0.2569000.262800
Trim. Skewness (28/500)-0.5237000.000000Trim. Kurtosis (28/500)-0.2487000.280200
Trim. Skewness (29/500)-0.5259000.000000Trim. Kurtosis (29/500)-0.2411000.293800
Trim. Skewness (30/500)-0.5279000.000000Trim. Kurtosis (30/500)-0.2341000.312400
Trim. Skewness (31/500)-0.5298000.000000Trim. Kurtosis (31/500)-0.2276000.327000
Trim. Skewness (32/500)-0.5329000.000000Trim. Kurtosis (32/500)-0.2177000.347200
Trim. Skewness (33/500)-0.5355000.000000Trim. Kurtosis (33/500)-0.2080000.373400
Trim. Skewness (34/500)-0.5381000.000000Trim. Kurtosis (34/500)-0.1984000.395400
Trim. Skewness (35/500)-0.5407000.000000Trim. Kurtosis (35/500)-0.1886000.418000
Trim. Skewness (36/500)-0.5431000.000000Trim. Kurtosis (36/500)-0.1789000.447200
Trim. Skewness (37/500)-0.5465000.000000Trim. Kurtosis (37/500)-0.1665000.477600
Trim. Skewness (38/500)-0.5494000.000000Trim. Kurtosis (38/500)-0.1544000.509200
Trim. Skewness (39/500)-0.5523000.000000Trim. Kurtosis (39/500)-0.1427000.541800
Trim. Skewness (40/500)-0.5550000.000000Trim. Kurtosis (40/500)-0.1317000.575400


Figures (Output of Computation)

Input Parameters & R Code

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