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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 14:56:08 +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/t1291128844ciigl4sz55r0ifp.htm/, Retrieved Mon, 29 Apr 2024 13:55:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103566, Retrieved Mon, 29 Apr 2024 13:55:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115

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] [] [2010-11-30 14:56:08] [fff0a1ca5ad3b1801f382406d5a383a7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
56.26
57.22
56.58
54.54
55
51.7
51.69
50.16
49.8
50.69
51.5
51.22
51.16
51.88
50.31
48.54
47.15
47
46.81
46.95
46.9
47.42
47.81
45.36
47.38
46.25
45.61
45.1
45.51
46.14
46.81
46.75
46.66
45.64
46.31
44.59
44.66
45
45.49
44.98
45.32
45.87
45.4
45.47
44.96
45.08
43.41
44.75
45.36
44.49
44.05
42.32
42.15
41
40.38
39.87
39.91
38.41
38.27
38.35
37.81
36.71
36.76
34.8
35.92
35.38
36.77
35.13
35.74
37.17
36.24
37.47
36.66
35.99
35.62
36.22
36.49
36.86
37.35
37.7
36.7
37.7
37.33
38.07
38.31
36.75
37.63
37.74
39.71
37.53
36.71
34.99
33.89
32.71
33.99
35.24
35.2
35.87
36.47
35.65
35.27
35.16
32.83
33.59
32.69
33.71
33.01
33.71
35.43
35.51
35.34
36.26
36.35
36.49
38.11
37.04
37.42
35.46
35.29
34.44

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.144.134197FISHER 4th Cent. Mom.3480.416688
FISHER beta 10.352645FISHER beta 22.298794
FISHER gamma 10.593839FISHER gamma 2-0.701206
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.655729FISHER Test 2-1.567944
FISHER Test 1 Probability0.007800FISHER Test 2 Probability0.116400
Pearson 21.444131
Yule using Quartile definition:Weighted Average at Xnp0.562694
Yule using Quartile definition:Weighted Average at X(n+1)p0.572480
Yule using Quartile definition:Empirical Distribution Function0.562694
Yule using Quartile definition:Empirical Distribution Function - Averaging0.570332
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.568153
Yule using Quartile definition:Closest Observation0.562694
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.568153
Yule using Quartile definition:MS Excel (old versions)0.574597
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.601382Kurtosis (small sample)-0.679607
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.722684TEST 1 (small sample)-1.550445
TEST 1 Prob. (small sample)0.006400TEST 1 Prob. (small sample)0.118800
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.144.134197 & FISHER 4th Cent. Mom.3480.416688 \tabularnewline FISHER beta 10.352645 & FISHER beta 22.298794 \tabularnewline FISHER gamma 10.593839 & FISHER gamma 2-0.701206 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 12.655729 & FISHER Test 2-1.567944 \tabularnewline FISHER Test 1 Probability0.007800 & FISHER Test 2 Probability0.116400 \tabularnewline Pearson 21.444131 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.562694 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.572480 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.562694 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.570332 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.568153 & & \tabularnewline Yule using Quartile definition:Closest Observation0.562694 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.568153 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.574597 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)0.601382 & Kurtosis (small sample)-0.679607 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)2.722684 & TEST 1 (small sample)-1.550445 \tabularnewline TEST 1 Prob. (small sample)0.006400 & TEST 1 Prob. (small sample)0.118800 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103566&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]144.134197[/C][C]FISHER 4th Cent. Mom.[/C]3480.416688[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.352645[/C][C]FISHER beta 2[/C]2.298794[/C][/ROW] [ROW][C]FISHER gamma 1[/C]0.593839[/C][C]FISHER gamma 2[/C]-0.701206[/C][/ROW] [ROW][C]FISHER gamma 1 (S.E.)[/C]0.223607[/C][C]FISHER gamma 2 (S.E.)[/C]0.447214[/C][/ROW] [ROW][C]FISHER Test 1[/C]2.655729[/C][C]FISHER Test 2[/C]-1.567944[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.007800[/C][C]FISHER Test 2 Probability[/C]0.116400[/C][/ROW] [ROW][C]Pearson 2[/C]1.444131[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.562694[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.572480[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.562694[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.570332[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.568153[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.562694[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.568153[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.574597[/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]0.601382[/C][C]Kurtosis (small sample)[/C]-0.679607[/C][/ROW] [ROW][C]Skewness S.E. (small sample)[/C]0.220879[/C][C]Kurtosis S.E. (small sample)[/C]0.438331[/C][/ROW] [ROW][C]TEST 1 (small sample)[/C]2.722684[/C][C]TEST 1 (small sample)[/C]-1.550445[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.006400[/C][C]TEST 1 Prob. (small sample)[/C]0.118800[/C][/ROW] [ROW][C]Observations[/C]120[/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [ROW][C] [/C][C] [/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103566&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103566&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.144.134197FISHER 4th Cent. Mom.3480.416688
FISHER beta 10.352645FISHER beta 22.298794
FISHER gamma 10.593839FISHER gamma 2-0.701206
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.655729FISHER Test 2-1.567944
FISHER Test 1 Probability0.007800FISHER Test 2 Probability0.116400
Pearson 21.444131
Yule using Quartile definition:Weighted Average at Xnp0.562694
Yule using Quartile definition:Weighted Average at X(n+1)p0.572480
Yule using Quartile definition:Empirical Distribution Function0.562694
Yule using Quartile definition:Empirical Distribution Function - Averaging0.570332
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.568153
Yule using Quartile definition:Closest Observation0.562694
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.568153
Yule using Quartile definition:MS Excel (old versions)0.574597
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.601382Kurtosis (small sample)-0.679607
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.722684TEST 1 (small sample)-1.550445
TEST 1 Prob. (small sample)0.006400TEST 1 Prob. (small sample)0.118800
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.6014000.006400Trim. Kurtosis (0/120)-0.6796000.118800
Trim. Skewness (1/120)0.5669000.010800Trim. Kurtosis (1/120)-0.7787000.076800
Trim. Skewness (2/120)0.5321000.017800Trim. Kurtosis (2/120)-0.8857000.046600
Trim. Skewness (3/120)0.4897000.030000Trim. Kurtosis (3/120)-1.0251000.022000
Trim. Skewness (4/120)0.4583000.044400Trim. Kurtosis (4/120)-1.1304000.012400
Trim. Skewness (5/120)0.4203000.067200Trim. Kurtosis (5/120)-1.2486000.006200
Trim. Skewness (6/120)0.4164000.071800Trim. Kurtosis (6/120)-1.2646000.006000
Trim. Skewness (7/120)0.4124000.078400Trim. Kurtosis (7/120)-1.2846000.005600
Trim. Skewness (8/120)0.4042000.087200Trim. Kurtosis (8/120)-1.3154000.005000
Trim. Skewness (9/120)0.3944000.099000Trim. Kurtosis (9/120)-1.3529000.004200
Trim. Skewness (10/120)0.3812000.114200Trim. Kurtosis (10/120)-1.3922000.003600
Trim. Skewness (11/120)0.3616000.136200Trim. Kurtosis (11/120)-1.4453000.002600
Trim. Skewness (12/120)0.3431000.161600Trim. Kurtosis (12/120)-1.4940000.002200
Trim. Skewness (13/120)0.3250000.190200Trim. Kurtosis (13/120)-1.5415000.001800
Trim. Skewness (14/120)0.3039000.226200Trim. Kurtosis (14/120)-1.5999000.001200
Trim. Skewness (15/120)0.2833000.262800Trim. Kurtosis (15/120)-1.6591000.001000
Trim. Skewness (16/120)0.2784000.275800Trim. Kurtosis (16/120)-1.6790000.001000
Trim. Skewness (17/120)0.2803000.280200Trim. Kurtosis (17/120)-1.6847000.001000
Trim. Skewness (18/120)0.2852000.275800Trim. Kurtosis (18/120)-1.6852000.001200
Trim. Skewness (19/120)0.2901000.271400Trim. Kurtosis (19/120)-1.6868000.001400
Trim. Skewness (20/120)0.2966000.267000Trim. Kurtosis (20/120)-1.6859000.001400
Trim. Skewness (21/120)0.3042000.262800Trim. Kurtosis (21/120)-1.6838000.001800
Trim. Skewness (22/120)0.3122000.254200Trim. Kurtosis (22/120)-1.6822000.002000
Trim. Skewness (23/120)0.3205000.250200Trim. Kurtosis (23/120)-1.6812000.002200
Trim. Skewness (24/120)0.3289000.242000Trim. Kurtosis (24/120)-1.6796000.002600
Trim. Skewness (25/120)0.3372000.238000Trim. Kurtosis (25/120)-1.6802000.003000
Trim. Skewness (26/120)0.3453000.234000Trim. Kurtosis (26/120)-1.6816000.003400
Trim. Skewness (27/120)0.3531000.230200Trim. Kurtosis (27/120)-1.6830000.003800
Trim. Skewness (28/120)0.3645000.222400Trim. Kurtosis (28/120)-1.6779000.004400
Trim. Skewness (29/120)0.3765000.215000Trim. Kurtosis (29/120)-1.6726000.005200
Trim. Skewness (30/120)0.3877000.207600Trim. Kurtosis (30/120)-1.6648000.006200
Trim. Skewness (31/120)0.4023000.197000Trim. Kurtosis (31/120)-1.6515000.007400
Trim. Skewness (32/120)0.4201000.186800Trim. Kurtosis (32/120)-1.6333000.009400
Trim. Skewness (33/120)0.4387000.173800Trim. Kurtosis (33/120)-1.6127000.011400
Trim. Skewness (34/120)0.4585000.164600Trim. Kurtosis (34/120)-1.5878000.014200
Trim. Skewness (35/120)0.4801000.152800Trim. Kurtosis (35/120)-1.5600000.018200
Trim. Skewness (36/120)0.5039000.141600Trim. Kurtosis (36/120)-1.5290000.023200
Trim. Skewness (37/120)0.5285000.131000Trim. Kurtosis (37/120)-1.4923000.029200
Trim. Skewness (38/120)0.5553000.118800Trim. Kurtosis (38/120)-1.4499000.038400
Trim. Skewness (39/120)0.5844000.109600Trim. Kurtosis (39/120)-1.4027000.050000
Trim. Skewness (40/120)0.6169000.097000Trim. Kurtosis (40/120)-1.3486000.064400

\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 (0/120)0.6014000.006400 & Trim. Kurtosis (0/120)-0.6796000.118800 \tabularnewline Trim. Skewness (1/120)0.5669000.010800 & Trim. Kurtosis (1/120)-0.7787000.076800 \tabularnewline Trim. Skewness (2/120)0.5321000.017800 & Trim. Kurtosis (2/120)-0.8857000.046600 \tabularnewline Trim. Skewness (3/120)0.4897000.030000 & Trim. Kurtosis (3/120)-1.0251000.022000 \tabularnewline Trim. Skewness (4/120)0.4583000.044400 & Trim. Kurtosis (4/120)-1.1304000.012400 \tabularnewline Trim. Skewness (5/120)0.4203000.067200 & Trim. Kurtosis (5/120)-1.2486000.006200 \tabularnewline Trim. Skewness (6/120)0.4164000.071800 & Trim. Kurtosis (6/120)-1.2646000.006000 \tabularnewline Trim. Skewness (7/120)0.4124000.078400 & Trim. Kurtosis (7/120)-1.2846000.005600 \tabularnewline Trim. Skewness (8/120)0.4042000.087200 & Trim. Kurtosis (8/120)-1.3154000.005000 \tabularnewline Trim. Skewness (9/120)0.3944000.099000 & Trim. Kurtosis (9/120)-1.3529000.004200 \tabularnewline Trim. Skewness (10/120)0.3812000.114200 & Trim. Kurtosis (10/120)-1.3922000.003600 \tabularnewline Trim. Skewness (11/120)0.3616000.136200 & Trim. Kurtosis (11/120)-1.4453000.002600 \tabularnewline Trim. Skewness (12/120)0.3431000.161600 & Trim. Kurtosis (12/120)-1.4940000.002200 \tabularnewline Trim. Skewness (13/120)0.3250000.190200 & Trim. Kurtosis (13/120)-1.5415000.001800 \tabularnewline Trim. Skewness (14/120)0.3039000.226200 & Trim. Kurtosis (14/120)-1.5999000.001200 \tabularnewline Trim. Skewness (15/120)0.2833000.262800 & Trim. Kurtosis (15/120)-1.6591000.001000 \tabularnewline Trim. Skewness (16/120)0.2784000.275800 & Trim. Kurtosis (16/120)-1.6790000.001000 \tabularnewline Trim. Skewness (17/120)0.2803000.280200 & Trim. Kurtosis (17/120)-1.6847000.001000 \tabularnewline Trim. Skewness (18/120)0.2852000.275800 & Trim. Kurtosis (18/120)-1.6852000.001200 \tabularnewline Trim. Skewness (19/120)0.2901000.271400 & Trim. Kurtosis (19/120)-1.6868000.001400 \tabularnewline Trim. Skewness (20/120)0.2966000.267000 & Trim. Kurtosis (20/120)-1.6859000.001400 \tabularnewline Trim. Skewness (21/120)0.3042000.262800 & Trim. Kurtosis (21/120)-1.6838000.001800 \tabularnewline Trim. Skewness (22/120)0.3122000.254200 & Trim. Kurtosis (22/120)-1.6822000.002000 \tabularnewline Trim. Skewness (23/120)0.3205000.250200 & Trim. Kurtosis (23/120)-1.6812000.002200 \tabularnewline Trim. Skewness (24/120)0.3289000.242000 & Trim. Kurtosis (24/120)-1.6796000.002600 \tabularnewline Trim. Skewness (25/120)0.3372000.238000 & Trim. Kurtosis (25/120)-1.6802000.003000 \tabularnewline Trim. Skewness (26/120)0.3453000.234000 & Trim. Kurtosis (26/120)-1.6816000.003400 \tabularnewline Trim. Skewness (27/120)0.3531000.230200 & Trim. Kurtosis (27/120)-1.6830000.003800 \tabularnewline Trim. Skewness (28/120)0.3645000.222400 & Trim. Kurtosis (28/120)-1.6779000.004400 \tabularnewline Trim. Skewness (29/120)0.3765000.215000 & Trim. Kurtosis (29/120)-1.6726000.005200 \tabularnewline Trim. Skewness (30/120)0.3877000.207600 & Trim. Kurtosis (30/120)-1.6648000.006200 \tabularnewline Trim. Skewness (31/120)0.4023000.197000 & Trim. Kurtosis (31/120)-1.6515000.007400 \tabularnewline Trim. Skewness (32/120)0.4201000.186800 & Trim. Kurtosis (32/120)-1.6333000.009400 \tabularnewline Trim. Skewness (33/120)0.4387000.173800 & Trim. Kurtosis (33/120)-1.6127000.011400 \tabularnewline Trim. Skewness (34/120)0.4585000.164600 & Trim. Kurtosis (34/120)-1.5878000.014200 \tabularnewline Trim. Skewness (35/120)0.4801000.152800 & Trim. Kurtosis (35/120)-1.5600000.018200 \tabularnewline Trim. Skewness (36/120)0.5039000.141600 & Trim. Kurtosis (36/120)-1.5290000.023200 \tabularnewline Trim. Skewness (37/120)0.5285000.131000 & Trim. Kurtosis (37/120)-1.4923000.029200 \tabularnewline Trim. Skewness (38/120)0.5553000.118800 & Trim. Kurtosis (38/120)-1.4499000.038400 \tabularnewline Trim. Skewness (39/120)0.5844000.109600 & Trim. Kurtosis (39/120)-1.4027000.050000 \tabularnewline Trim. Skewness (40/120)0.6169000.097000 & Trim. Kurtosis (40/120)-1.3486000.064400 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103566&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 (0/120)[/C]0.601400[/C]0.006400[/C][C]Trim. Kurtosis (0/120)[/C]-0.679600[/C]0.118800[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]0.566900[/C]0.010800[/C][C]Trim. Kurtosis (1/120)[/C]-0.778700[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]0.532100[/C]0.017800[/C][C]Trim. Kurtosis (2/120)[/C]-0.885700[/C]0.046600[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]0.489700[/C]0.030000[/C][C]Trim. Kurtosis (3/120)[/C]-1.025100[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]0.458300[/C]0.044400[/C][C]Trim. Kurtosis (4/120)[/C]-1.130400[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]0.420300[/C]0.067200[/C][C]Trim. Kurtosis (5/120)[/C]-1.248600[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]0.416400[/C]0.071800[/C][C]Trim. Kurtosis (6/120)[/C]-1.264600[/C]0.006000[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.412400[/C]0.078400[/C][C]Trim. Kurtosis (7/120)[/C]-1.284600[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.404200[/C]0.087200[/C][C]Trim. Kurtosis (8/120)[/C]-1.315400[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.394400[/C]0.099000[/C][C]Trim. Kurtosis (9/120)[/C]-1.352900[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.381200[/C]0.114200[/C][C]Trim. Kurtosis (10/120)[/C]-1.392200[/C]0.003600[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.361600[/C]0.136200[/C][C]Trim. Kurtosis (11/120)[/C]-1.445300[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.343100[/C]0.161600[/C][C]Trim. Kurtosis (12/120)[/C]-1.494000[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.325000[/C]0.190200[/C][C]Trim. Kurtosis (13/120)[/C]-1.541500[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.303900[/C]0.226200[/C][C]Trim. Kurtosis (14/120)[/C]-1.599900[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.283300[/C]0.262800[/C][C]Trim. Kurtosis (15/120)[/C]-1.659100[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.278400[/C]0.275800[/C][C]Trim. Kurtosis (16/120)[/C]-1.679000[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.280300[/C]0.280200[/C][C]Trim. Kurtosis (17/120)[/C]-1.684700[/C]0.001000[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.285200[/C]0.275800[/C][C]Trim. Kurtosis (18/120)[/C]-1.685200[/C]0.001200[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.290100[/C]0.271400[/C][C]Trim. Kurtosis (19/120)[/C]-1.686800[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.296600[/C]0.267000[/C][C]Trim. Kurtosis (20/120)[/C]-1.685900[/C]0.001400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.304200[/C]0.262800[/C][C]Trim. Kurtosis (21/120)[/C]-1.683800[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.312200[/C]0.254200[/C][C]Trim. Kurtosis (22/120)[/C]-1.682200[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.320500[/C]0.250200[/C][C]Trim. Kurtosis (23/120)[/C]-1.681200[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.328900[/C]0.242000[/C][C]Trim. Kurtosis (24/120)[/C]-1.679600[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.337200[/C]0.238000[/C][C]Trim. Kurtosis (25/120)[/C]-1.680200[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.345300[/C]0.234000[/C][C]Trim. Kurtosis (26/120)[/C]-1.681600[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.353100[/C]0.230200[/C][C]Trim. Kurtosis (27/120)[/C]-1.683000[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.364500[/C]0.222400[/C][C]Trim. Kurtosis (28/120)[/C]-1.677900[/C]0.004400[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.376500[/C]0.215000[/C][C]Trim. Kurtosis (29/120)[/C]-1.672600[/C]0.005200[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.387700[/C]0.207600[/C][C]Trim. Kurtosis (30/120)[/C]-1.664800[/C]0.006200[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.402300[/C]0.197000[/C][C]Trim. Kurtosis (31/120)[/C]-1.651500[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.420100[/C]0.186800[/C][C]Trim. Kurtosis (32/120)[/C]-1.633300[/C]0.009400[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.438700[/C]0.173800[/C][C]Trim. Kurtosis (33/120)[/C]-1.612700[/C]0.011400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.458500[/C]0.164600[/C][C]Trim. Kurtosis (34/120)[/C]-1.587800[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.480100[/C]0.152800[/C][C]Trim. Kurtosis (35/120)[/C]-1.560000[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.503900[/C]0.141600[/C][C]Trim. Kurtosis (36/120)[/C]-1.529000[/C]0.023200[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.528500[/C]0.131000[/C][C]Trim. Kurtosis (37/120)[/C]-1.492300[/C]0.029200[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.555300[/C]0.118800[/C][C]Trim. Kurtosis (38/120)[/C]-1.449900[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.584400[/C]0.109600[/C][C]Trim. Kurtosis (39/120)[/C]-1.402700[/C]0.050000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.616900[/C]0.097000[/C][C]Trim. Kurtosis (40/120)[/C]-1.348600[/C]0.064400[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103566&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103566&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 (0/120)0.6014000.006400Trim. Kurtosis (0/120)-0.6796000.118800
Trim. Skewness (1/120)0.5669000.010800Trim. Kurtosis (1/120)-0.7787000.076800
Trim. Skewness (2/120)0.5321000.017800Trim. Kurtosis (2/120)-0.8857000.046600
Trim. Skewness (3/120)0.4897000.030000Trim. Kurtosis (3/120)-1.0251000.022000
Trim. Skewness (4/120)0.4583000.044400Trim. Kurtosis (4/120)-1.1304000.012400
Trim. Skewness (5/120)0.4203000.067200Trim. Kurtosis (5/120)-1.2486000.006200
Trim. Skewness (6/120)0.4164000.071800Trim. Kurtosis (6/120)-1.2646000.006000
Trim. Skewness (7/120)0.4124000.078400Trim. Kurtosis (7/120)-1.2846000.005600
Trim. Skewness (8/120)0.4042000.087200Trim. Kurtosis (8/120)-1.3154000.005000
Trim. Skewness (9/120)0.3944000.099000Trim. Kurtosis (9/120)-1.3529000.004200
Trim. Skewness (10/120)0.3812000.114200Trim. Kurtosis (10/120)-1.3922000.003600
Trim. Skewness (11/120)0.3616000.136200Trim. Kurtosis (11/120)-1.4453000.002600
Trim. Skewness (12/120)0.3431000.161600Trim. Kurtosis (12/120)-1.4940000.002200
Trim. Skewness (13/120)0.3250000.190200Trim. Kurtosis (13/120)-1.5415000.001800
Trim. Skewness (14/120)0.3039000.226200Trim. Kurtosis (14/120)-1.5999000.001200
Trim. Skewness (15/120)0.2833000.262800Trim. Kurtosis (15/120)-1.6591000.001000
Trim. Skewness (16/120)0.2784000.275800Trim. Kurtosis (16/120)-1.6790000.001000
Trim. Skewness (17/120)0.2803000.280200Trim. Kurtosis (17/120)-1.6847000.001000
Trim. Skewness (18/120)0.2852000.275800Trim. Kurtosis (18/120)-1.6852000.001200
Trim. Skewness (19/120)0.2901000.271400Trim. Kurtosis (19/120)-1.6868000.001400
Trim. Skewness (20/120)0.2966000.267000Trim. Kurtosis (20/120)-1.6859000.001400
Trim. Skewness (21/120)0.3042000.262800Trim. Kurtosis (21/120)-1.6838000.001800
Trim. Skewness (22/120)0.3122000.254200Trim. Kurtosis (22/120)-1.6822000.002000
Trim. Skewness (23/120)0.3205000.250200Trim. Kurtosis (23/120)-1.6812000.002200
Trim. Skewness (24/120)0.3289000.242000Trim. Kurtosis (24/120)-1.6796000.002600
Trim. Skewness (25/120)0.3372000.238000Trim. Kurtosis (25/120)-1.6802000.003000
Trim. Skewness (26/120)0.3453000.234000Trim. Kurtosis (26/120)-1.6816000.003400
Trim. Skewness (27/120)0.3531000.230200Trim. Kurtosis (27/120)-1.6830000.003800
Trim. Skewness (28/120)0.3645000.222400Trim. Kurtosis (28/120)-1.6779000.004400
Trim. Skewness (29/120)0.3765000.215000Trim. Kurtosis (29/120)-1.6726000.005200
Trim. Skewness (30/120)0.3877000.207600Trim. Kurtosis (30/120)-1.6648000.006200
Trim. Skewness (31/120)0.4023000.197000Trim. Kurtosis (31/120)-1.6515000.007400
Trim. Skewness (32/120)0.4201000.186800Trim. Kurtosis (32/120)-1.6333000.009400
Trim. Skewness (33/120)0.4387000.173800Trim. Kurtosis (33/120)-1.6127000.011400
Trim. Skewness (34/120)0.4585000.164600Trim. Kurtosis (34/120)-1.5878000.014200
Trim. Skewness (35/120)0.4801000.152800Trim. Kurtosis (35/120)-1.5600000.018200
Trim. Skewness (36/120)0.5039000.141600Trim. Kurtosis (36/120)-1.5290000.023200
Trim. Skewness (37/120)0.5285000.131000Trim. Kurtosis (37/120)-1.4923000.029200
Trim. Skewness (38/120)0.5553000.118800Trim. Kurtosis (38/120)-1.4499000.038400
Trim. Skewness (39/120)0.5844000.109600Trim. Kurtosis (39/120)-1.4027000.050000
Trim. Skewness (40/120)0.6169000.097000Trim. Kurtosis (40/120)-1.3486000.064400


Figures (Output of Computation)

Input Parameters & R Code

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