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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 18:57:36 +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/t12911433418mxslv9k9f7zrdo.htm/, Retrieved Sat, 21 Dec 2024 16:17:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=103751, Retrieved Sat, 21 Dec 2024 16:17:46 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

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 18:57:36] [efffa7146cfe4c2b113f6c7f36d84ca0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
54,01
53,67
54,38
54,39
53,98
53,77
54,26
53,95
54,13
54,34
54,51
55,05
54,91
55,20
55,36
54,91
54,79
54,31
54,17
54,08
53,87
54,56
53,95
54,06
54,03
53,47
53,32
53,76
53,35
53,25
53,82
53,92
54,61
54,41
54,36
54,56
54,00
53,57
53,36
53,52
53,35
53,82
53,48
54,08
53,65
53,82
53,57
53,54
53,01
53,15
52,86
52,66
52,21
51,97
51,91
51,83
51,86
52,04
51,76
51,20
50,14
50,55
51,00
50,97
51,55
51,30
52,22
52,06
51,79
51,62
51,60
51,29
51,41
51,19
51,06
51,13
50,96
51,13
51,67
50,86
50,35
50,88
49,52
49,67
50,41
50,35
50,54
50,12
49,43
49,18
48,92
48,57
48,00
48,34
48,07
48,90
49,57
48,80
50,03
50,81
50,68
51,02
51,55
51,41
50,98
51,64
51,24
50,86
51,22
50,99
50,78
50,74
50,40
51,72
51,72
50,92
50,56
50,70
50,02
50,28

Tables (Output of Computation)





Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.126636FISHER 4th Cent. Mom.22.642480
FISHER beta 10.034633FISHER beta 22.052135
FISHER gamma 1-0.186099FISHER gamma 2-0.947865
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.832262FISHER Test 2-2.119491
FISHER Test 1 Probability0.400800FISHER Test 2 Probability0.034000
Pearson 20.544752
Yule using Quartile definition:Weighted Average at Xnp0.358108
Yule using Quartile definition:Weighted Average at X(n+1)p0.366138
Yule using Quartile definition:Empirical Distribution Function0.358108
Yule using Quartile definition:Empirical Distribution Function - Averaging0.363484
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.360807
Yule using Quartile definition:Closest Observation0.358108
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.360807
Yule using Quartile definition:MS Excel (old versions)0.368771
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.188463Kurtosis (small sample)-0.936861
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.853245TEST 1 (small sample)-2.137340
TEST 1 Prob. (small sample)0.389800TEST 1 Prob. (small sample)0.032400
Observations120

\begin{tabular}{lllllllll}
\hline

Skewness and Kurtosis - Ungrouped Data \tabularnewline

Skewness Measure
ValueKurtosis MeasureValue \tabularnewline FISHER 3rd Cent. Mom.-1.126636 & FISHER 4th Cent. Mom.22.642480 \tabularnewline FISHER beta 10.034633 & FISHER beta 22.052135 \tabularnewline FISHER gamma 1-0.186099 & FISHER gamma 2-0.947865 \tabularnewline FISHER gamma 1 (S.E.)0.223607 & FISHER gamma 2 (S.E.)0.447214 \tabularnewline FISHER Test 1-0.832262 & FISHER Test 2-2.119491 \tabularnewline FISHER Test 1 Probability0.400800 & FISHER Test 2 Probability0.034000 \tabularnewline Pearson 20.544752 & & \tabularnewline Yule using Quartile definition:Weighted Average at Xnp0.358108 & & \tabularnewline Yule using Quartile definition:Weighted Average at X(n+1)p0.366138 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function0.358108 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Averaging0.363484 & & \tabularnewline Yule using Quartile definition:Empirical Distribution Function - Interpolation0.360807 & & \tabularnewline Yule using Quartile definition:Closest Observation0.358108 & & \tabularnewline Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.360807 & & \tabularnewline Yule using Quartile definition:MS Excel (old versions)0.368771 & & \tabularnewline Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value \tabularnewline Skewness (small sample)-0.188463 & Kurtosis (small sample)-0.936861 \tabularnewline Skewness S.E. (small sample)0.220879 & Kurtosis S.E. (small sample)0.438331 \tabularnewline TEST 1 (small sample)-0.853245 & TEST 1 (small sample)-2.137340 \tabularnewline TEST 1 Prob. (small sample)0.389800 & TEST 1 Prob. (small sample)0.032400 \tabularnewline Observations120 \tabularnewline & \tabularnewline & \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103751&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]-1.126636[/C][C]FISHER 4th Cent. Mom.[/C]22.642480[/C][/ROW] [ROW][C]FISHER beta 1[/C]0.034633[/C][C]FISHER beta 2[/C]2.052135[/C][/ROW] [ROW][C]FISHER gamma 1[/C]-0.186099[/C][C]FISHER gamma 2[/C]-0.947865[/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]-0.832262[/C][C]FISHER Test 2[/C]-2.119491[/C][/ROW] [ROW][C]FISHER Test 1 Probability[/C]0.400800[/C][C]FISHER Test 2 Probability[/C]0.034000[/C][/ROW] [ROW][C]Pearson 2[/C]0.544752[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at Xnp[/C]0.358108[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Weighted Average at X(n+1)p[/C]0.366138[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function[/C]0.358108[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Averaging[/C]0.363484[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Empirical Distribution Function - Interpolation[/C]0.360807[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:Closest Observation[/C]0.358108[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:True Basic - Statistics Graphics Toolkit[/C]0.360807[/C][C][/C][C][/C][/ROW] [ROW][C]Yule using Quartile definition:MS Excel (old versions)[/C]0.368771[/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]-0.188463[/C][C]Kurtosis (small sample)[/C]-0.936861[/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]-0.853245[/C][C]TEST 1 (small sample)[/C]-2.137340[/C][/ROW] [ROW][C]TEST 1 Prob. (small sample)[/C]0.389800[/C][C]TEST 1 Prob. (small sample)[/C]0.032400[/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=103751&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103751&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.-1.126636FISHER 4th Cent. Mom.22.642480
FISHER beta 10.034633FISHER beta 22.052135
FISHER gamma 1-0.186099FISHER gamma 2-0.947865
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.832262FISHER Test 2-2.119491
FISHER Test 1 Probability0.400800FISHER Test 2 Probability0.034000
Pearson 20.544752
Yule using Quartile definition:Weighted Average at Xnp0.358108
Yule using Quartile definition:Weighted Average at X(n+1)p0.366138
Yule using Quartile definition:Empirical Distribution Function0.358108
Yule using Quartile definition:Empirical Distribution Function - Averaging0.363484
Yule using Quartile definition:Empirical Distribution Function - Interpolation0.360807
Yule using Quartile definition:Closest Observation0.358108
Yule using Quartile definition:True Basic - Statistics Graphics Toolkit0.360807
Yule using Quartile definition:MS Excel (old versions)0.368771
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.188463Kurtosis (small sample)-0.936861
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.853245TEST 1 (small sample)-2.137340
TEST 1 Prob. (small sample)0.389800TEST 1 Prob. (small sample)0.032400
Observations120






Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1885000.389800Trim. Kurtosis (0/120)-0.9369000.032400
Trim. Skewness (1/120)-0.1634000.459200Trim. Kurtosis (1/120)-1.0047000.022600
Trim. Skewness (2/120)-0.1290000.562000Trim. Kurtosis (2/120)-1.0887000.014200
Trim. Skewness (3/120)-0.0975000.660000Trim. Kurtosis (3/120)-1.1566000.009800
Trim. Skewness (4/120)-0.0678000.764200Trim. Kurtosis (4/120)-1.2121000.007400
Trim. Skewness (5/120)-0.0449000.841400Trim. Kurtosis (5/120)-1.2586000.005800
Trim. Skewness (6/120)-0.0182000.936200Trim. Kurtosis (6/120)-1.3069000.004600
Trim. Skewness (7/120)0.0192000.928200Trim. Kurtosis (7/120)-1.3669000.003200
Trim. Skewness (8/120)0.0492000.833600Trim. Kurtosis (8/120)-1.4088000.002600
Trim. Skewness (9/120)0.0703000.764200Trim. Kurtosis (9/120)-1.4361000.002400
Trim. Skewness (10/120)0.0920000.696600Trim. Kurtosis (10/120)-1.4631000.002200
Trim. Skewness (11/120)0.1180000.624200Trim. Kurtosis (11/120)-1.4920000.002000
Trim. Skewness (12/120)0.1434000.555200Trim. Kurtosis (12/120)-1.5204000.001800
Trim. Skewness (13/120)0.1549000.528600Trim. Kurtosis (13/120)-1.5272000.001800
Trim. Skewness (14/120)0.1682000.502800Trim. Kurtosis (14/120)-1.5373000.002000
Trim. Skewness (15/120)0.1798000.477600Trim. Kurtosis (15/120)-1.5457000.002000
Trim. Skewness (16/120)0.1930000.447200Trim. Kurtosis (16/120)-1.5564000.002200
Trim. Skewness (17/120)0.2031000.429600Trim. Kurtosis (17/120)-1.5606000.002400
Trim. Skewness (18/120)0.2143000.412200Trim. Kurtosis (18/120)-1.5600000.002600
Trim. Skewness (19/120)0.2281000.389800Trim. Kurtosis (19/120)-1.5602000.003000
Trim. Skewness (20/120)0.2428000.362800Trim. Kurtosis (20/120)-1.5580000.003400
Trim. Skewness (21/120)0.2590000.337000Trim. Kurtosis (21/120)-1.5582000.003800
Trim. Skewness (22/120)0.2713000.322200Trim. Kurtosis (22/120)-1.5530000.004200
Trim. Skewness (23/120)0.2856000.303000Trim. Kurtosis (23/120)-1.5478000.005000
Trim. Skewness (24/120)0.3018000.284600Trim. Kurtosis (24/120)-1.5433000.005600
Trim. Skewness (25/120)0.3139000.271400Trim. Kurtosis (25/120)-1.5348000.006600
Trim. Skewness (26/120)0.3268000.258400Trim. Kurtosis (26/120)-1.5259000.007800
Trim. Skewness (27/120)0.3401000.246000Trim. Kurtosis (27/120)-1.5150000.009000
Trim. Skewness (28/120)0.3523000.238000Trim. Kurtosis (28/120)-1.5047000.010800
Trim. Skewness (29/120)0.3650000.226200Trim. Kurtosis (29/120)-1.4929000.012400
Trim. Skewness (30/120)0.3784000.218600Trim. Kurtosis (30/120)-1.4764000.015000
Trim. Skewness (31/120)0.3952000.207600Trim. Kurtosis (31/120)-1.4563000.018200
Trim. Skewness (32/120)0.4122000.193600Trim. Kurtosis (32/120)-1.4366000.022000
Trim. Skewness (33/120)0.4275000.186800Trim. Kurtosis (33/120)-1.4179000.026400
Trim. Skewness (34/120)0.4441000.177000Trim. Kurtosis (34/120)-1.3935000.031600
Trim. Skewness (35/120)0.4612000.167600Trim. Kurtosis (35/120)-1.3701000.038400
Trim. Skewness (36/120)0.4855000.155600Trim. Kurtosis (36/120)-1.3340000.047800
Trim. Skewness (37/120)0.5130000.141600Trim. Kurtosis (37/120)-1.2942000.058800
Trim. Skewness (38/120)0.5497000.123600Trim. Kurtosis (38/120)-1.2391000.076800
Trim. Skewness (39/120)0.5898000.105200Trim. Kurtosis (39/120)-1.1784000.099000
Trim. Skewness (40/120)0.6337000.089200Trim. Kurtosis (40/120)-1.1046000.131000

\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)-0.1885000.389800 & Trim. Kurtosis (0/120)-0.9369000.032400 \tabularnewline Trim. Skewness (1/120)-0.1634000.459200 & Trim. Kurtosis (1/120)-1.0047000.022600 \tabularnewline Trim. Skewness (2/120)-0.1290000.562000 & Trim. Kurtosis (2/120)-1.0887000.014200 \tabularnewline Trim. Skewness (3/120)-0.0975000.660000 & Trim. Kurtosis (3/120)-1.1566000.009800 \tabularnewline Trim. Skewness (4/120)-0.0678000.764200 & Trim. Kurtosis (4/120)-1.2121000.007400 \tabularnewline Trim. Skewness (5/120)-0.0449000.841400 & Trim. Kurtosis (5/120)-1.2586000.005800 \tabularnewline Trim. Skewness (6/120)-0.0182000.936200 & Trim. Kurtosis (6/120)-1.3069000.004600 \tabularnewline Trim. Skewness (7/120)0.0192000.928200 & Trim. Kurtosis (7/120)-1.3669000.003200 \tabularnewline Trim. Skewness (8/120)0.0492000.833600 & Trim. Kurtosis (8/120)-1.4088000.002600 \tabularnewline Trim. Skewness (9/120)0.0703000.764200 & Trim. Kurtosis (9/120)-1.4361000.002400 \tabularnewline Trim. Skewness (10/120)0.0920000.696600 & Trim. Kurtosis (10/120)-1.4631000.002200 \tabularnewline Trim. Skewness (11/120)0.1180000.624200 & Trim. Kurtosis (11/120)-1.4920000.002000 \tabularnewline Trim. Skewness (12/120)0.1434000.555200 & Trim. Kurtosis (12/120)-1.5204000.001800 \tabularnewline Trim. Skewness (13/120)0.1549000.528600 & Trim. Kurtosis (13/120)-1.5272000.001800 \tabularnewline Trim. Skewness (14/120)0.1682000.502800 & Trim. Kurtosis (14/120)-1.5373000.002000 \tabularnewline Trim. Skewness (15/120)0.1798000.477600 & Trim. Kurtosis (15/120)-1.5457000.002000 \tabularnewline Trim. Skewness (16/120)0.1930000.447200 & Trim. Kurtosis (16/120)-1.5564000.002200 \tabularnewline Trim. Skewness (17/120)0.2031000.429600 & Trim. Kurtosis (17/120)-1.5606000.002400 \tabularnewline Trim. Skewness (18/120)0.2143000.412200 & Trim. Kurtosis (18/120)-1.5600000.002600 \tabularnewline Trim. Skewness (19/120)0.2281000.389800 & Trim. Kurtosis (19/120)-1.5602000.003000 \tabularnewline Trim. Skewness (20/120)0.2428000.362800 & Trim. Kurtosis (20/120)-1.5580000.003400 \tabularnewline Trim. Skewness (21/120)0.2590000.337000 & Trim. Kurtosis (21/120)-1.5582000.003800 \tabularnewline Trim. Skewness (22/120)0.2713000.322200 & Trim. Kurtosis (22/120)-1.5530000.004200 \tabularnewline Trim. Skewness (23/120)0.2856000.303000 & Trim. Kurtosis (23/120)-1.5478000.005000 \tabularnewline Trim. Skewness (24/120)0.3018000.284600 & Trim. Kurtosis (24/120)-1.5433000.005600 \tabularnewline Trim. Skewness (25/120)0.3139000.271400 & Trim. Kurtosis (25/120)-1.5348000.006600 \tabularnewline Trim. Skewness (26/120)0.3268000.258400 & Trim. Kurtosis (26/120)-1.5259000.007800 \tabularnewline Trim. Skewness (27/120)0.3401000.246000 & Trim. Kurtosis (27/120)-1.5150000.009000 \tabularnewline Trim. Skewness (28/120)0.3523000.238000 & Trim. Kurtosis (28/120)-1.5047000.010800 \tabularnewline Trim. Skewness (29/120)0.3650000.226200 & Trim. Kurtosis (29/120)-1.4929000.012400 \tabularnewline Trim. Skewness (30/120)0.3784000.218600 & Trim. Kurtosis (30/120)-1.4764000.015000 \tabularnewline Trim. Skewness (31/120)0.3952000.207600 & Trim. Kurtosis (31/120)-1.4563000.018200 \tabularnewline Trim. Skewness (32/120)0.4122000.193600 & Trim. Kurtosis (32/120)-1.4366000.022000 \tabularnewline Trim. Skewness (33/120)0.4275000.186800 & Trim. Kurtosis (33/120)-1.4179000.026400 \tabularnewline Trim. Skewness (34/120)0.4441000.177000 & Trim. Kurtosis (34/120)-1.3935000.031600 \tabularnewline Trim. Skewness (35/120)0.4612000.167600 & Trim. Kurtosis (35/120)-1.3701000.038400 \tabularnewline Trim. Skewness (36/120)0.4855000.155600 & Trim. Kurtosis (36/120)-1.3340000.047800 \tabularnewline Trim. Skewness (37/120)0.5130000.141600 & Trim. Kurtosis (37/120)-1.2942000.058800 \tabularnewline Trim. Skewness (38/120)0.5497000.123600 & Trim. Kurtosis (38/120)-1.2391000.076800 \tabularnewline Trim. Skewness (39/120)0.5898000.105200 & Trim. Kurtosis (39/120)-1.1784000.099000 \tabularnewline Trim. Skewness (40/120)0.6337000.089200 & Trim. Kurtosis (40/120)-1.1046000.131000 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=103751&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]-0.188500[/C]0.389800[/C][C]Trim. Kurtosis (0/120)[/C]-0.936900[/C]0.032400[/C][/ROW] [ROW][C]Trim. Skewness (1/120)[/C]-0.163400[/C]0.459200[/C][C]Trim. Kurtosis (1/120)[/C]-1.004700[/C]0.022600[/C][/ROW] [ROW][C]Trim. Skewness (2/120)[/C]-0.129000[/C]0.562000[/C][C]Trim. Kurtosis (2/120)[/C]-1.088700[/C]0.014200[/C][/ROW] [ROW][C]Trim. Skewness (3/120)[/C]-0.097500[/C]0.660000[/C][C]Trim. Kurtosis (3/120)[/C]-1.156600[/C]0.009800[/C][/ROW] [ROW][C]Trim. Skewness (4/120)[/C]-0.067800[/C]0.764200[/C][C]Trim. Kurtosis (4/120)[/C]-1.212100[/C]0.007400[/C][/ROW] [ROW][C]Trim. Skewness (5/120)[/C]-0.044900[/C]0.841400[/C][C]Trim. Kurtosis (5/120)[/C]-1.258600[/C]0.005800[/C][/ROW] [ROW][C]Trim. Skewness (6/120)[/C]-0.018200[/C]0.936200[/C][C]Trim. Kurtosis (6/120)[/C]-1.306900[/C]0.004600[/C][/ROW] [ROW][C]Trim. Skewness (7/120)[/C]0.019200[/C]0.928200[/C][C]Trim. Kurtosis (7/120)[/C]-1.366900[/C]0.003200[/C][/ROW] [ROW][C]Trim. Skewness (8/120)[/C]0.049200[/C]0.833600[/C][C]Trim. Kurtosis (8/120)[/C]-1.408800[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (9/120)[/C]0.070300[/C]0.764200[/C][C]Trim. Kurtosis (9/120)[/C]-1.436100[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (10/120)[/C]0.092000[/C]0.696600[/C][C]Trim. Kurtosis (10/120)[/C]-1.463100[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (11/120)[/C]0.118000[/C]0.624200[/C][C]Trim. Kurtosis (11/120)[/C]-1.492000[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (12/120)[/C]0.143400[/C]0.555200[/C][C]Trim. Kurtosis (12/120)[/C]-1.520400[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (13/120)[/C]0.154900[/C]0.528600[/C][C]Trim. Kurtosis (13/120)[/C]-1.527200[/C]0.001800[/C][/ROW] [ROW][C]Trim. Skewness (14/120)[/C]0.168200[/C]0.502800[/C][C]Trim. Kurtosis (14/120)[/C]-1.537300[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (15/120)[/C]0.179800[/C]0.477600[/C][C]Trim. Kurtosis (15/120)[/C]-1.545700[/C]0.002000[/C][/ROW] [ROW][C]Trim. Skewness (16/120)[/C]0.193000[/C]0.447200[/C][C]Trim. Kurtosis (16/120)[/C]-1.556400[/C]0.002200[/C][/ROW] [ROW][C]Trim. Skewness (17/120)[/C]0.203100[/C]0.429600[/C][C]Trim. Kurtosis (17/120)[/C]-1.560600[/C]0.002400[/C][/ROW] [ROW][C]Trim. Skewness (18/120)[/C]0.214300[/C]0.412200[/C][C]Trim. Kurtosis (18/120)[/C]-1.560000[/C]0.002600[/C][/ROW] [ROW][C]Trim. Skewness (19/120)[/C]0.228100[/C]0.389800[/C][C]Trim. Kurtosis (19/120)[/C]-1.560200[/C]0.003000[/C][/ROW] [ROW][C]Trim. Skewness (20/120)[/C]0.242800[/C]0.362800[/C][C]Trim. Kurtosis (20/120)[/C]-1.558000[/C]0.003400[/C][/ROW] [ROW][C]Trim. Skewness (21/120)[/C]0.259000[/C]0.337000[/C][C]Trim. Kurtosis (21/120)[/C]-1.558200[/C]0.003800[/C][/ROW] [ROW][C]Trim. Skewness (22/120)[/C]0.271300[/C]0.322200[/C][C]Trim. Kurtosis (22/120)[/C]-1.553000[/C]0.004200[/C][/ROW] [ROW][C]Trim. Skewness (23/120)[/C]0.285600[/C]0.303000[/C][C]Trim. Kurtosis (23/120)[/C]-1.547800[/C]0.005000[/C][/ROW] [ROW][C]Trim. Skewness (24/120)[/C]0.301800[/C]0.284600[/C][C]Trim. Kurtosis (24/120)[/C]-1.543300[/C]0.005600[/C][/ROW] [ROW][C]Trim. Skewness (25/120)[/C]0.313900[/C]0.271400[/C][C]Trim. Kurtosis (25/120)[/C]-1.534800[/C]0.006600[/C][/ROW] [ROW][C]Trim. Skewness (26/120)[/C]0.326800[/C]0.258400[/C][C]Trim. Kurtosis (26/120)[/C]-1.525900[/C]0.007800[/C][/ROW] [ROW][C]Trim. Skewness (27/120)[/C]0.340100[/C]0.246000[/C][C]Trim. Kurtosis (27/120)[/C]-1.515000[/C]0.009000[/C][/ROW] [ROW][C]Trim. Skewness (28/120)[/C]0.352300[/C]0.238000[/C][C]Trim. Kurtosis (28/120)[/C]-1.504700[/C]0.010800[/C][/ROW] [ROW][C]Trim. Skewness (29/120)[/C]0.365000[/C]0.226200[/C][C]Trim. Kurtosis (29/120)[/C]-1.492900[/C]0.012400[/C][/ROW] [ROW][C]Trim. Skewness (30/120)[/C]0.378400[/C]0.218600[/C][C]Trim. Kurtosis (30/120)[/C]-1.476400[/C]0.015000[/C][/ROW] [ROW][C]Trim. Skewness (31/120)[/C]0.395200[/C]0.207600[/C][C]Trim. Kurtosis (31/120)[/C]-1.456300[/C]0.018200[/C][/ROW] [ROW][C]Trim. Skewness (32/120)[/C]0.412200[/C]0.193600[/C][C]Trim. Kurtosis (32/120)[/C]-1.436600[/C]0.022000[/C][/ROW] [ROW][C]Trim. Skewness (33/120)[/C]0.427500[/C]0.186800[/C][C]Trim. Kurtosis (33/120)[/C]-1.417900[/C]0.026400[/C][/ROW] [ROW][C]Trim. Skewness (34/120)[/C]0.444100[/C]0.177000[/C][C]Trim. Kurtosis (34/120)[/C]-1.393500[/C]0.031600[/C][/ROW] [ROW][C]Trim. Skewness (35/120)[/C]0.461200[/C]0.167600[/C][C]Trim. Kurtosis (35/120)[/C]-1.370100[/C]0.038400[/C][/ROW] [ROW][C]Trim. Skewness (36/120)[/C]0.485500[/C]0.155600[/C][C]Trim. Kurtosis (36/120)[/C]-1.334000[/C]0.047800[/C][/ROW] [ROW][C]Trim. Skewness (37/120)[/C]0.513000[/C]0.141600[/C][C]Trim. Kurtosis (37/120)[/C]-1.294200[/C]0.058800[/C][/ROW] [ROW][C]Trim. Skewness (38/120)[/C]0.549700[/C]0.123600[/C][C]Trim. Kurtosis (38/120)[/C]-1.239100[/C]0.076800[/C][/ROW] [ROW][C]Trim. Skewness (39/120)[/C]0.589800[/C]0.105200[/C][C]Trim. Kurtosis (39/120)[/C]-1.178400[/C]0.099000[/C][/ROW] [ROW][C]Trim. Skewness (40/120)[/C]0.633700[/C]0.089200[/C][C]Trim. Kurtosis (40/120)[/C]-1.104600[/C]0.131000[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=103751&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=103751&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)-0.1885000.389800Trim. Kurtosis (0/120)-0.9369000.032400
Trim. Skewness (1/120)-0.1634000.459200Trim. Kurtosis (1/120)-1.0047000.022600
Trim. Skewness (2/120)-0.1290000.562000Trim. Kurtosis (2/120)-1.0887000.014200
Trim. Skewness (3/120)-0.0975000.660000Trim. Kurtosis (3/120)-1.1566000.009800
Trim. Skewness (4/120)-0.0678000.764200Trim. Kurtosis (4/120)-1.2121000.007400
Trim. Skewness (5/120)-0.0449000.841400Trim. Kurtosis (5/120)-1.2586000.005800
Trim. Skewness (6/120)-0.0182000.936200Trim. Kurtosis (6/120)-1.3069000.004600
Trim. Skewness (7/120)0.0192000.928200Trim. Kurtosis (7/120)-1.3669000.003200
Trim. Skewness (8/120)0.0492000.833600Trim. Kurtosis (8/120)-1.4088000.002600
Trim. Skewness (9/120)0.0703000.764200Trim. Kurtosis (9/120)-1.4361000.002400
Trim. Skewness (10/120)0.0920000.696600Trim. Kurtosis (10/120)-1.4631000.002200
Trim. Skewness (11/120)0.1180000.624200Trim. Kurtosis (11/120)-1.4920000.002000
Trim. Skewness (12/120)0.1434000.555200Trim. Kurtosis (12/120)-1.5204000.001800
Trim. Skewness (13/120)0.1549000.528600Trim. Kurtosis (13/120)-1.5272000.001800
Trim. Skewness (14/120)0.1682000.502800Trim. Kurtosis (14/120)-1.5373000.002000
Trim. Skewness (15/120)0.1798000.477600Trim. Kurtosis (15/120)-1.5457000.002000
Trim. Skewness (16/120)0.1930000.447200Trim. Kurtosis (16/120)-1.5564000.002200
Trim. Skewness (17/120)0.2031000.429600Trim. Kurtosis (17/120)-1.5606000.002400
Trim. Skewness (18/120)0.2143000.412200Trim. Kurtosis (18/120)-1.5600000.002600
Trim. Skewness (19/120)0.2281000.389800Trim. Kurtosis (19/120)-1.5602000.003000
Trim. Skewness (20/120)0.2428000.362800Trim. Kurtosis (20/120)-1.5580000.003400
Trim. Skewness (21/120)0.2590000.337000Trim. Kurtosis (21/120)-1.5582000.003800
Trim. Skewness (22/120)0.2713000.322200Trim. Kurtosis (22/120)-1.5530000.004200
Trim. Skewness (23/120)0.2856000.303000Trim. Kurtosis (23/120)-1.5478000.005000
Trim. Skewness (24/120)0.3018000.284600Trim. Kurtosis (24/120)-1.5433000.005600
Trim. Skewness (25/120)0.3139000.271400Trim. Kurtosis (25/120)-1.5348000.006600
Trim. Skewness (26/120)0.3268000.258400Trim. Kurtosis (26/120)-1.5259000.007800
Trim. Skewness (27/120)0.3401000.246000Trim. Kurtosis (27/120)-1.5150000.009000
Trim. Skewness (28/120)0.3523000.238000Trim. Kurtosis (28/120)-1.5047000.010800
Trim. Skewness (29/120)0.3650000.226200Trim. Kurtosis (29/120)-1.4929000.012400
Trim. Skewness (30/120)0.3784000.218600Trim. Kurtosis (30/120)-1.4764000.015000
Trim. Skewness (31/120)0.3952000.207600Trim. Kurtosis (31/120)-1.4563000.018200
Trim. Skewness (32/120)0.4122000.193600Trim. Kurtosis (32/120)-1.4366000.022000
Trim. Skewness (33/120)0.4275000.186800Trim. Kurtosis (33/120)-1.4179000.026400
Trim. Skewness (34/120)0.4441000.177000Trim. Kurtosis (34/120)-1.3935000.031600
Trim. Skewness (35/120)0.4612000.167600Trim. Kurtosis (35/120)-1.3701000.038400
Trim. Skewness (36/120)0.4855000.155600Trim. Kurtosis (36/120)-1.3340000.047800
Trim. Skewness (37/120)0.5130000.141600Trim. Kurtosis (37/120)-1.2942000.058800
Trim. Skewness (38/120)0.5497000.123600Trim. Kurtosis (38/120)-1.2391000.076800
Trim. Skewness (39/120)0.5898000.105200Trim. Kurtosis (39/120)-1.1784000.099000
Trim. Skewness (40/120)0.6337000.089200Trim. Kurtosis (40/120)-1.1046000.131000


Figures (Output of Computation)

Input Parameters & R Code

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