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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 14:44:41 +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/t1291128165kznk25bpp408qvb.htm/, Retrieved Tue, 30 Nov 2010 15:42:45 +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/t1291128165kznk25bpp408qvb.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 «
47.46030199 50.34432077 46.18847084 49.59116852 49.77404281 45.435956 49.46665396 51.28581929 55.04339986 44.97016085 46.22400817 44.8222092 48.38974313 50.4087989 53.43949476 49.06315846 49.3641512 44.1755509 45.03491178 53.12815244 50.61432786 47.24687001 51.43430655 46.05368675 48.62590685 53.3641787 51.20926899 53.9860135 53.65743398 48.38800124 51.93156205 52.4680267 46.95174856 51.01808473 50.04933898 43.09081557 51.92549131 51.36347969 47.3073849 49.13930756 51.59275848 53.83197404 48.40731531 49.05106047 51.21942963 46.5509906 48.24746746 51.45353074 47.90090273 53.38984535 48.16716312 44.48074923 53.3763459 49.69724502 47.63461277 47.68604612 51.43929329 47.19153308 49.40310826 52.20733769 50.90041323 53.87999171 54.5939513 45.78330633 48.86283116 48.66400016 52.32606271 53.31403619 44.08309824 50.55074611 46.50803311 48.78382381 52.28118153 51.72073162 48.04317539 45.35708342 56.40410257 51.07314923 46.27660013 47.6187961 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-4.624174FISHER 4th Cent. Mom.149.545125
FISHER beta 10.047693FISHER beta 22.552879
FISHER gamma 1-0.218387FISHER gamma 2-0.447121
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.976658FISHER Test 2-0.999793
FISHER Test 1 Probability0.327000FISHER Test 2 Probability0.317400
Pearson 2-0.020709
Yule using Quartile definition:
Weighted Average at Xnp
0.038172
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.050227
Yule using Quartile definition:
Empirical Distribution Function
0.038172
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.048101
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.045953
Yule using Quartile definition:
Closest Observation
0.038172
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.045953
Yule using Quartile definition:
MS Excel (old versions)
0.052332
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.221162Kurtosis (small sample)-0.414609
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.001282TEST 1 (small sample)-0.945883
TEST 1 Prob. (small sample)0.312400TEST 1 Prob. (small sample)0.342200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.2212000.312400Trim. Kurtosis (0/120)-0.4146000.342200
Trim. Skewness (1/120)-0.2685000.226200Trim. Kurtosis (1/120)-0.5735000.193600
Trim. Skewness (2/120)-0.2597000.246000Trim. Kurtosis (2/120)-0.6710000.131000
Trim. Skewness (3/120)-0.2670000.238000Trim. Kurtosis (3/120)-0.6959000.121200
Trim. Skewness (4/120)-0.2538000.262800Trim. Kurtosis (4/120)-0.7168000.111800
Trim. Skewness (5/120)-0.2343000.307800Trim. Kurtosis (5/120)-0.7533000.099000
Trim. Skewness (6/120)-0.2206000.342200Trim. Kurtosis (6/120)-0.7826000.089200
Trim. Skewness (7/120)-0.2113000.362800Trim. Kurtosis (7/120)-0.7949000.087200
Trim. Skewness (8/120)-0.1973000.400800Trim. Kurtosis (8/120)-0.8041000.085400
Trim. Skewness (9/120)-0.1805000.447200Trim. Kurtosis (9/120)-0.8251000.080200
Trim. Skewness (10/120)-0.1619000.496400Trim. Kurtosis (10/120)-0.8579000.071800
Trim. Skewness (11/120)-0.1487000.535200Trim. Kurtosis (11/120)-0.8912000.064400
Trim. Skewness (12/120)-0.1344000.582400Trim. Kurtosis (12/120)-0.9453000.052400
Trim. Skewness (13/120)-0.1333000.589200Trim. Kurtosis (13/120)-0.9866000.044400
Trim. Skewness (14/120)-0.1359000.582400Trim. Kurtosis (14/120)-1.0117000.041400
Trim. Skewness (15/120)-0.1389000.582400Trim. Kurtosis (15/120)-1.0365000.038400
Trim. Skewness (16/120)-0.1339000.596200Trim. Kurtosis (16/120)-1.0682000.034800
Trim. Skewness (17/120)-0.1110000.667200Trim. Kurtosis (17/120)-1.0965000.032400
Trim. Skewness (18/120)-0.0905000.726400Trim. Kurtosis (18/120)-1.1086000.032400
Trim. Skewness (19/120)-0.0661000.802600Trim. Kurtosis (19/120)-1.1329000.030800
Trim. Skewness (20/120)-0.0441000.865000Trim. Kurtosis (20/120)-1.1535000.030000
Trim. Skewness (21/120)-0.0213000.936200Trim. Kurtosis (21/120)-1.1803000.027800
Trim. Skewness (22/120)-0.0001000.992000Trim. Kurtosis (22/120)-1.2053000.026400
Trim. Skewness (23/120)0.0150000.952200Trim. Kurtosis (23/120)-1.2095000.027800
Trim. Skewness (24/120)0.0336000.904400Trim. Kurtosis (24/120)-1.2169000.029200
Trim. Skewness (25/120)0.0584000.833600Trim. Kurtosis (25/120)-1.2250000.030000
Trim. Skewness (26/120)0.0768000.787200Trim. Kurtosis (26/120)-1.2275000.032400
Trim. Skewness (27/120)0.0868000.764200Trim. Kurtosis (27/120)-1.2238000.034800
Trim. Skewness (28/120)0.0981000.741400Trim. Kurtosis (28/120)-1.2327000.036600
Trim. Skewness (29/120)0.1165000.696600Trim. Kurtosis (29/120)-1.2399000.038400
Trim. Skewness (30/120)0.1390000.645600Trim. Kurtosis (30/120)-1.2432000.040400
Trim. Skewness (31/120)0.1707000.582400Trim. Kurtosis (31/120)-1.2565000.041400
Trim. Skewness (32/120)0.2031000.522200Trim. Kurtosis (32/120)-1.2629000.043400
Trim. Skewness (33/120)0.2327000.471600Trim. Kurtosis (33/120)-1.2540000.048800
Trim. Skewness (34/120)0.2597000.429600Trim. Kurtosis (34/120)-1.2308000.057400
Trim. Skewness (35/120)0.2842000.395400Trim. Kurtosis (35/120)-1.2034000.068800
Trim. Skewness (36/120)0.2961000.384400Trim. Kurtosis (36/120)-1.1682000.081800
Trim. Skewness (37/120)0.3168000.362800Trim. Kurtosis (37/120)-1.1255000.101000
Trim. Skewness (38/120)0.3482000.327000Trim. Kurtosis (38/120)-1.0705000.126000
Trim. Skewness (39/120)0.3824000.293800Trim. Kurtosis (39/120)-1.0167000.155600
Trim. Skewness (40/120)0.4229000.254200Trim. Kurtosis (40/120)-0.9450000.197000
 
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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