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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 18:42:29 +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/t12911424292xv55ejk1kme5sn.htm/, Retrieved Tue, 30 Nov 2010 19:40:29 +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/t12911424292xv55ejk1kme5sn.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 «
51,91858599 45,76096424 51,63946398 51,68960086 50,41310598 51,25360862 51,89581331 52,9665159 48,00246958 51,33581971 52,28156921 49,61634677 48,55756644 50,24266446 50,89905125 51,39436491 47,34150333 50,64806171 55,13911249 50,19388316 51,44402097 46,80753016 51,09460189 51,62804587 52,29382572 50,50952468 51,51665808 47,95850062 51,64792427 49,73298784 49,48644914 49,26438844 52,73270597 49,88099736 54,12169867 50,09929291 52,2098923 52,03438331 51,23696428 50,4844089 50,25131029 50,31259084 53,09053506 50,70164239 46,34186873 46,24483766 50,38393176 53,0048933 50,57562015 48,13894544 53,03447176 52,56279748 49,57514151 48,47518376 53,26612898 49,49089656 50,4686268 50,08840969 51,71615407 51,47129512 50,55899599 47,18082012 49,84747702 49,38821492 49,58456131 54,64099014 50,70512119 49,24152685 50,97606399 47,53091987 51,86871678 52,87431035 52,86257211 47,90700417 50,65989589 49,16259896 50,76313963 47,07285522 49,04179182 50 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.986650FISHER 4th Cent. Mom.37.616779
FISHER beta 10.020038FISHER beta 22.825358
FISHER gamma 1-0.141557FISHER gamma 2-0.174642
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.292234FISHER Test 2-0.797126
FISHER Test 1 Probability0.193600FISHER Test 2 Probability0.423800
Pearson 2-0.013837
Yule using Quartile definition:
Weighted Average at Xnp
0.056324
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.058157
Yule using Quartile definition:
Empirical Distribution Function
0.056324
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.057583
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.057009
Yule using Quartile definition:
Closest Observation
0.056324
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.057009
Yule using Quartile definition:
MS Excel (old versions)
0.058730
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.141984Kurtosis (small sample)-0.164304
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.300003TEST 1 (small sample)-0.753667
TEST 1 Prob. (small sample)0.190200TEST 1 Prob. (small sample)0.447200
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1420000.190200Trim. Kurtosis (0/500)-0.1643000.447200
Trim. Skewness (1/500)-0.1080000.322200Trim. Kurtosis (1/500)-0.3619000.097000
Trim. Skewness (2/500)-0.1191000.275800Trim. Kurtosis (2/500)-0.4057000.062800
Trim. Skewness (3/500)-0.1242000.254200Trim. Kurtosis (3/500)-0.4399000.044400
Trim. Skewness (4/500)-0.1297000.238000Trim. Kurtosis (4/500)-0.4790000.029200
Trim. Skewness (5/500)-0.1363000.215000Trim. Kurtosis (5/500)-0.5222000.017400
Trim. Skewness (6/500)-0.1428000.193600Trim. Kurtosis (6/500)-0.5675000.009800
Trim. Skewness (7/500)-0.1465000.183600Trim. Kurtosis (7/500)-0.6011000.006600
Trim. Skewness (8/500)-0.1483000.180200Trim. Kurtosis (8/500)-0.6309000.004400
Trim. Skewness (9/500)-0.1488000.180200Trim. Kurtosis (9/500)-0.6584000.003000
Trim. Skewness (10/500)-0.1494000.177000Trim. Kurtosis (10/500)-0.6867000.002000
Trim. Skewness (11/500)-0.1517000.173800Trim. Kurtosis (11/500)-0.7133000.001400
Trim. Skewness (12/500)-0.1508000.177000Trim. Kurtosis (12/500)-0.7359000.001000
Trim. Skewness (13/500)-0.1448000.193600Trim. Kurtosis (13/500)-0.7528000.000800
Trim. Skewness (14/500)-0.1383000.215000Trim. Kurtosis (14/500)-0.7703000.000600
Trim. Skewness (15/500)-0.1331000.234000Trim. Kurtosis (15/500)-0.7852000.000400
Trim. Skewness (16/500)-0.1274000.258400Trim. Kurtosis (16/500)-0.8021000.000400
Trim. Skewness (17/500)-0.1214000.280200Trim. Kurtosis (17/500)-0.8205000.000200
Trim. Skewness (18/500)-0.1164000.303000Trim. Kurtosis (18/500)-0.8370000.000200
Trim. Skewness (19/500)-0.1131000.317400Trim. Kurtosis (19/500)-0.8450000.000200
Trim. Skewness (20/500)-0.1097000.332000Trim. Kurtosis (20/500)-0.8528000.000200
Trim. Skewness (21/500)-0.1072000.347200Trim. Kurtosis (21/500)-0.8585000.000200
Trim. Skewness (22/500)-0.1048000.357600Trim. Kurtosis (22/500)-0.8648000.000200
Trim. Skewness (23/500)-0.1023000.368200Trim. Kurtosis (23/500)-0.8718000.000200
Trim. Skewness (24/500)-0.1003000.378800Trim. Kurtosis (24/500)-0.8779000.000200
Trim. Skewness (25/500)-0.0980000.389800Trim. Kurtosis (25/500)-0.8849000.000200
Trim. Skewness (26/500)-0.0957000.406600Trim. Kurtosis (26/500)-0.8918000.000200
Trim. Skewness (27/500)-0.0930000.418000Trim. Kurtosis (27/500)-0.8984000.000000
Trim. Skewness (28/500)-0.0901000.435400Trim. Kurtosis (28/500)-0.9060000.000000
Trim. Skewness (29/500)-0.0867000.453200Trim. Kurtosis (29/500)-0.9138000.000000
Trim. Skewness (30/500)-0.0830000.471600Trim. Kurtosis (30/500)-0.9228000.000000
Trim. Skewness (31/500)-0.0792000.496400Trim. Kurtosis (31/500)-0.9323000.000000
Trim. Skewness (32/500)-0.0772000.502800Trim. Kurtosis (32/500)-0.9370000.000000
Trim. Skewness (33/500)-0.0750000.515600Trim. Kurtosis (33/500)-0.9426000.000000
Trim. Skewness (34/500)-0.0725000.535200Trim. Kurtosis (34/500)-0.9490000.000000
Trim. Skewness (35/500)-0.0700000.548400Trim. Kurtosis (35/500)-0.9562000.000000
Trim. Skewness (36/500)-0.0672000.568600Trim. Kurtosis (36/500)-0.9629000.000000
Trim. Skewness (37/500)-0.0649000.582400Trim. Kurtosis (37/500)-0.9693000.000000
Trim. Skewness (38/500)-0.0623000.596200Trim. Kurtosis (38/500)-0.9761000.000000
Trim. Skewness (39/500)-0.0593000.617000Trim. Kurtosis (39/500)-0.9830000.000000
Trim. Skewness (40/500)-0.0564000.631200Trim. Kurtosis (40/500)-0.9900000.000000
 
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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