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*The author of this computation has been verified*
R Software Module: /skewkurt.wasp (opens new window with default values)
Title produced by software: Skewness and Kurtosis
Date of computation: Tue, 30 Nov 2010 18:34:46 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t129114197302w09q7i1swducj.htm/, Retrieved Tue, 30 Nov 2010 19:32:53 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2010/Nov/30/t129114197302w09q7i1swducj.htm/},
    year = {2010},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
111,1427815 109,5998096 107,6858909 113,0685878 109,3047548 111,1638185 107,9078207 109,4414206 107,9574274 110,3850063 105,6191409 109,0927371 107,7947415 110,2953148 109,4870445 109,0923296 110,7106604 107,2450985 109,3725499 109,3166116 111,8249843 112,3887005 110,1882401 106,5836369 106,9415555 110,9597509 111,1061348 109,3489644 111,9439591 108,9573786 108,0577235 108,8989551 112,5198501 109,1414226 107,0183457 110,1149944 111,4101085 110,6967643 115,0179779 114,6101938 106,679093 107,2028058 109,2382852 108,1907282 109,537002 111,0933663 110,6989747 110,8519857 112,0694953 111,2685164 110,7981918 107,2485307 111,7514322 109,4407136 111,0952277 110,2196494 109,1588878 112,9741193 109,6759363 109,1810409 111,4991336 112,5893918 109,063909 110,3756697 108,6206639 107,5488339 109,614684 112,0972337 110,4704416 111,1789812 113,0023662 106,3583506 106,2897471 111,1604655 109,9071429 114,1889181 109,8105354 107,0496186 108,1446894 1 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.673259FISHER 4th Cent. Mom.40.671006
FISHER beta 10.008325FISHER beta 22.831262
FISHER gamma 10.091244FISHER gamma 2-0.168738
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.408055FISHER Test 2-0.377311
FISHER Test 1 Probability0.681800FISHER Test 2 Probability0.704000
Pearson 20.065484
Yule using Quartile definition:
Weighted Average at Xnp
0.105444
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.117216
Yule using Quartile definition:
Empirical Distribution Function
0.105444
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.122068
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.126998
Yule using Quartile definition:
Closest Observation
0.105444
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.126998
Yule using Quartile definition:
MS Excel (old versions)
0.112439
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.092403Kurtosis (small sample)-0.124269
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.418342TEST 1 (small sample)-0.283506
TEST 1 Prob. (small sample)0.674400TEST 1 Prob. (small sample)0.771800
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.0924000.674400Trim. Kurtosis (0/120)-0.1243000.771800
Trim. Skewness (1/120)0.0516000.810400Trim. Kurtosis (1/120)-0.2489000.568600
Trim. Skewness (2/120)0.0223000.920400Trim. Kurtosis (2/120)-0.3621000.412200
Trim. Skewness (3/120)-0.0263000.904400Trim. Kurtosis (3/120)-0.4403000.322200
Trim. Skewness (4/120)-0.0821000.718800Trim. Kurtosis (4/120)-0.5486000.222400
Trim. Skewness (5/120)-0.1098000.631200Trim. Kurtosis (5/120)-0.5734000.207600
Trim. Skewness (6/120)-0.1274000.582400Trim. Kurtosis (6/120)-0.5790000.207600
Trim. Skewness (7/120)-0.1470000.528600Trim. Kurtosis (7/120)-0.5699000.218600
Trim. Skewness (8/120)-0.1709000.465400Trim. Kurtosis (8/120)-0.5626000.230200
Trim. Skewness (9/120)-0.1987000.400800Trim. Kurtosis (9/120)-0.5712000.226200
Trim. Skewness (10/120)-0.2161000.368200Trim. Kurtosis (10/120)-0.5643000.238000
Trim. Skewness (11/120)-0.2290000.347200Trim. Kurtosis (11/120)-0.5605000.242000
Trim. Skewness (12/120)-0.2496000.307800Trim. Kurtosis (12/120)-0.5665000.242000
Trim. Skewness (13/120)-0.2717000.271400Trim. Kurtosis (13/120)-0.5848000.234000
Trim. Skewness (14/120)-0.2854000.254200Trim. Kurtosis (14/120)-0.6184000.211200
Trim. Skewness (15/120)-0.2745000.275800Trim. Kurtosis (15/120)-0.6486000.197000
Trim. Skewness (16/120)-0.2535000.322200Trim. Kurtosis (16/120)-0.7244000.152800
Trim. Skewness (17/120)-0.2482000.337000Trim. Kurtosis (17/120)-0.7493000.144200
Trim. Skewness (18/120)-0.2424000.352400Trim. Kurtosis (18/120)-0.7599000.141600
Trim. Skewness (19/120)-0.2375000.368200Trim. Kurtosis (19/120)-0.7639000.144200
Trim. Skewness (20/120)-0.2270000.395400Trim. Kurtosis (20/120)-0.7825000.138800
Trim. Skewness (21/120)-0.2174000.423800Trim. Kurtosis (21/120)-0.8098000.131000
Trim. Skewness (22/120)-0.1886000.490200Trim. Kurtosis (22/120)-0.8416000.121200
Trim. Skewness (23/120)-0.1542000.575400Trim. Kurtosis (23/120)-0.8693000.114200
Trim. Skewness (24/120)-0.1094000.696600Trim. Kurtosis (24/120)-0.9223000.097000
Trim. Skewness (25/120)-0.0478000.865000Trim. Kurtosis (25/120)-1.0086000.073400
Trim. Skewness (26/120)0.0375000.896600Trim. Kurtosis (26/120)-1.1435000.045600
Trim. Skewness (27/120)0.0648000.825800Trim. Kurtosis (27/120)-1.1633000.045600
Trim. Skewness (28/120)0.1127000.704000Trim. Kurtosis (28/120)-1.1992000.041400
Trim. Skewness (29/120)0.1671000.582400Trim. Kurtosis (29/120)-1.2492000.036600
Trim. Skewness (30/120)0.1801000.555200Trim. Kurtosis (30/120)-1.2409000.041400
Trim. Skewness (31/120)0.1893000.541800Trim. Kurtosis (31/120)-1.2311000.045600
Trim. Skewness (32/120)0.2045000.515600Trim. Kurtosis (32/120)-1.2244000.051200
Trim. Skewness (33/120)0.2046000.522200Trim. Kurtosis (33/120)-1.2102000.057400
Trim. Skewness (34/120)0.1966000.548400Trim. Kurtosis (34/120)-1.2077000.062800
Trim. Skewness (35/120)0.1991000.548400Trim. Kurtosis (35/120)-1.1961000.070200
Trim. Skewness (36/120)0.1960000.562000Trim. Kurtosis (36/120)-1.1883000.076800
Trim. Skewness (37/120)0.1956000.575400Trim. Kurtosis (37/120)-1.1851000.083600
Trim. Skewness (38/120)0.1950000.582400Trim. Kurtosis (38/120)-1.1941000.087200
Trim. Skewness (39/120)0.2028000.575400Trim. Kurtosis (39/120)-1.2017000.093000
Trim. Skewness (40/120)0.1939000.603000Trim. Kurtosis (40/120)-1.2261000.093000
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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