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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 22:38:58 +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/t1291156618bq6g2xmur4hzxyz.htm/, Retrieved Tue, 30 Nov 2010 23:36:58 +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/t1291156618bq6g2xmur4hzxyz.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 «
0,03306575 -0,030512338 0,004504783 0,020603191 -0,005315762 0,037449643 -0,045225849 -0,00914445 0,021185028 -0,020271777 0,044308583 -0,032035315 -0,008473373 0,018017956 -0,031895811 -0,002566255 0,03500322 0,014397339 -0,063518536 -0,006740216 0,087916063 -0,039982736 -0,035272334 -0,025877428 0,064718418 -0,004619685 0,000687716 0,026386801 -0,071463325 0,03100634 0,000509248 0,03532553 -0,006110854 -0,003726058 -0,028635848 0,009712461 -0,016233617 0,010315241 0,009733806 -0,032653618 0,008270655 0,021702535 0,001242826 -0,004919863 -0,018334585 0,01757247 0,006821868 0,008101149 -0,076989633 0,087343763 -0,013191691 0,020892239 -0,018991897 0,023388737 -0,035023562 0,023591207 -0,044945827 0,049430611 -0,05492448 -0,016456068 0,020421461 0,061957551 -0,03557772 -0,010968965 -0,023612343 0,02533576 0,003084235 0,007083266 0,01736748 -0,02770009 -0,051339913 0,029992514 0,050650699 -0,014397343 -0,022455168 0,033822073 -0,0773954 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000009FISHER 4th Cent. Mom.0.000007
FISHER beta 10.031028FISHER beta 23.357091
FISHER gamma 1-0.176148FISHER gamma 20.357091
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 1-0.784467FISHER Test 20.795146
FISHER Test 1 Probability0.429600FISHER Test 2 Probability0.423800
Pearson 2-0.060396
Yule using Quartile definition:
Weighted Average at Xnp
-0.088356
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.076661
Yule using Quartile definition:
Empirical Distribution Function
-0.076661
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.076661
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.070065
Yule using Quartile definition:
Closest Observation
-0.077128
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.076661
Yule using Quartile definition:
MS Excel (old versions)
-0.076661
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.178404Kurtosis (small sample)0.424728
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)-0.804412TEST 1 (small sample)0.965078
TEST 1 Prob. (small sample)0.418000TEST 1 Prob. (small sample)0.332000
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)-0.1784000.418000Trim. Kurtosis (0/119)0.4247000.332000
Trim. Skewness (1/119)-0.0533000.810400Trim. Kurtosis (1/119)0.0142000.968000
Trim. Skewness (2/119)-0.0408000.849200Trim. Kurtosis (2/119)-0.1643000.711400
Trim. Skewness (3/119)-0.0639000.771800Trim. Kurtosis (3/119)-0.2656000.555200
Trim. Skewness (4/119)-0.0631000.779400Trim. Kurtosis (4/119)-0.3869000.389800
Trim. Skewness (5/119)-0.0795000.726400Trim. Kurtosis (5/119)-0.5281000.246000
Trim. Skewness (6/119)-0.0921000.689200Trim. Kurtosis (6/119)-0.5885000.200600
Trim. Skewness (7/119)-0.1086000.638400Trim. Kurtosis (7/119)-0.6869000.141600
Trim. Skewness (8/119)-0.1461000.535200Trim. Kurtosis (8/119)-0.7825000.097000
Trim. Skewness (9/119)-0.1552000.515600Trim. Kurtosis (9/119)-0.8364000.078400
Trim. Skewness (10/119)-0.1620000.502800Trim. Kurtosis (10/119)-0.8911000.062800
Trim. Skewness (11/119)-0.1707000.484000Trim. Kurtosis (11/119)-0.9630000.046600
Trim. Skewness (12/119)-0.1624000.509200Trim. Kurtosis (12/119)-1.0261000.035800
Trim. Skewness (13/119)-0.1650000.509200Trim. Kurtosis (13/119)-1.0631000.031600
Trim. Skewness (14/119)-0.1623000.515600Trim. Kurtosis (14/119)-1.1186000.025000
Trim. Skewness (15/119)-0.1647000.515600Trim. Kurtosis (15/119)-1.1328000.024400
Trim. Skewness (16/119)-0.1748000.496400Trim. Kurtosis (16/119)-1.1210000.027800
Trim. Skewness (17/119)-0.1861000.471600Trim. Kurtosis (17/119)-1.1123000.030800
Trim. Skewness (18/119)-0.1960000.453200Trim. Kurtosis (18/119)-1.1052000.034000
Trim. Skewness (19/119)-0.2083000.435400Trim. Kurtosis (19/119)-1.1025000.036600
Trim. Skewness (20/119)-0.2241000.406600Trim. Kurtosis (20/119)-1.0978000.039400
Trim. Skewness (21/119)-0.2341000.389800Trim. Kurtosis (21/119)-1.0874000.044400
Trim. Skewness (22/119)-0.2452000.373400Trim. Kurtosis (22/119)-1.0881000.046600
Trim. Skewness (23/119)-0.2547000.362800Trim. Kurtosis (23/119)-1.0924000.048800
Trim. Skewness (24/119)-0.2628000.352400Trim. Kurtosis (24/119)-1.1134000.047800
Trim. Skewness (25/119)-0.2595000.368200Trim. Kurtosis (25/119)-1.1188000.048800
Trim. Skewness (26/119)-0.2470000.395400Trim. Kurtosis (26/119)-1.1388000.047800
Trim. Skewness (27/119)-0.2313000.435400Trim. Kurtosis (27/119)-1.1475000.050000
Trim. Skewness (28/119)-0.2141000.471600Trim. Kurtosis (28/119)-1.1621000.050000
Trim. Skewness (29/119)-0.2009000.509200Trim. Kurtosis (29/119)-1.1648000.053600
Trim. Skewness (30/119)-0.1950000.528600Trim. Kurtosis (30/119)-1.1448000.061400
Trim. Skewness (31/119)-0.1901000.541800Trim. Kurtosis (31/119)-1.1254000.070200
Trim. Skewness (32/119)-0.1837000.562000Trim. Kurtosis (32/119)-1.1107000.078400
Trim. Skewness (33/119)-0.1701000.603000Trim. Kurtosis (33/119)-1.1068000.085400
Trim. Skewness (34/119)-0.1616000.624200Trim. Kurtosis (34/119)-1.0963000.093000
Trim. Skewness (35/119)-0.1497000.652800Trim. Kurtosis (35/119)-1.0992000.099000
Trim. Skewness (36/119)-0.1459000.667200Trim. Kurtosis (36/119)-1.1038000.103200
Trim. Skewness (37/119)-0.1201000.733800Trim. Kurtosis (37/119)-1.1048000.109600
Trim. Skewness (38/119)-0.1111000.756600Trim. Kurtosis (38/119)-1.0831000.126000
Trim. Skewness (39/119)-0.0918000.802600Trim. Kurtosis (39/119)-1.0869000.131000
Trim. Skewness (40/119)-0.0907000.810400Trim. Kurtosis (40/119)-1.0669000.149800
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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Creative Commons License

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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