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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 16:56:08 +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/t1291136049qmd8p8tuiojc7zw.htm/, Retrieved Tue, 30 Nov 2010 17:54:09 +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/t1291136049qmd8p8tuiojc7zw.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 «
-9.89225E-05 0.021387888 -0.017170438 0.019291542 -0.0267711 0.026438487 -0.042784952 0.056840461 -0.021945778 -0.042371426 0.010264711 0.013971438 0.030173865 0.027224575 -0.023879828 0.002503153 -0.062620754 0.020462009 -0.041205161 0.035047004 -0.039564838 0.010966569 0.063725138 -0.002945582 -0.014382265 0.024444324 0.014969472 -0.102432342 0.093491888 -0.028648589 -0.004817186 0.001630593 0.011330529 0.0035997 -0.027814605 0.027761612 -0.013273112 0.029087372 -0.031942507 0.037082774 -0.011023787 -0.028096881 -0.018781117 -0.002530614 0.064017717 -0.058587187 0.007704925 0.031037283 -0.031751482 -0.000903426 -0.006464702 0.0029516 0.028417588 -0.00668764 0.032213529 -0.004955123 -0.033917489 0.065940156 -0.089318345 0.002203814 0.02866861 0.006677501 -0.001259435 -0.005288435 0.006237236 -0.011561599 -0.016541598 0.038827695 0.01424014 -0.054426748 0.003115263 -0.009881538 0.017997513 -0.011470299 0.039048285 0.015214975 0.026377 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000004FISHER 4th Cent. Mom.0.000006
FISHER beta 10.005104FISHER beta 23.185745
FISHER gamma 1-0.071440FISHER gamma 20.185745
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-0.651499FISHER Test 20.846960
FISHER Test 1 Probability0.509200FISHER Test 2 Probability0.395400
Pearson 2-0.194606
Yule using Quartile definition:
Weighted Average at Xnp
-0.114339
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.107726
Yule using Quartile definition:
Empirical Distribution Function
-0.107726
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.107726
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.109034
Yule using Quartile definition:
Closest Observation
-0.113129
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.107726
Yule using Quartile definition:
MS Excel (old versions)
-0.107726
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.071655Kurtosis (small sample)0.199741
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-0.655424TEST 1 (small sample)0.915311
TEST 1 Prob. (small sample)0.509200TEST 1 Prob. (small sample)0.357600
Observations499



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)-0.0717000.509200Trim. Kurtosis (0/499)0.1997000.357600
Trim. Skewness (1/499)-0.0807000.459200Trim. Kurtosis (1/499)0.0476000.825800
Trim. Skewness (2/499)-0.0904000.406600Trim. Kurtosis (2/499)-0.0507000.810400
Trim. Skewness (3/499)-0.1026000.347200Trim. Kurtosis (3/499)-0.1181000.589200
Trim. Skewness (4/499)-0.1173000.284600Trim. Kurtosis (4/499)-0.1939000.373400
Trim. Skewness (5/499)-0.1296000.238000Trim. Kurtosis (5/499)-0.2668000.222400
Trim. Skewness (6/499)-0.1397000.204000Trim. Kurtosis (6/499)-0.3367000.126000
Trim. Skewness (7/499)-0.1510000.170600Trim. Kurtosis (7/499)-0.4137000.061400
Trim. Skewness (8/499)-0.1495000.177000Trim. Kurtosis (8/499)-0.4516000.041400
Trim. Skewness (9/499)-0.1490000.180200Trim. Kurtosis (9/499)-0.4865000.028600
Trim. Skewness (10/499)-0.1446000.193600Trim. Kurtosis (10/499)-0.5105000.021400
Trim. Skewness (11/499)-0.1387000.211200Trim. Kurtosis (11/499)-0.5363000.016000
Trim. Skewness (12/499)-0.1315000.238000Trim. Kurtosis (12/499)-0.5637000.011400
Trim. Skewness (13/499)-0.1253000.262800Trim. Kurtosis (13/499)-0.5862000.008800
Trim. Skewness (14/499)-0.1216000.275800Trim. Kurtosis (14/499)-0.6045000.007000
Trim. Skewness (15/499)-0.1175000.293800Trim. Kurtosis (15/499)-0.6244000.005400
Trim. Skewness (16/499)-0.1131000.312400Trim. Kurtosis (16/499)-0.6428000.004200
Trim. Skewness (17/499)-0.1083000.337000Trim. Kurtosis (17/499)-0.6628000.003200
Trim. Skewness (18/499)-0.1051000.352400Trim. Kurtosis (18/499)-0.6804000.002600
Trim. Skewness (19/499)-0.1016000.368200Trim. Kurtosis (19/499)-0.6979000.002000
Trim. Skewness (20/499)-0.0982000.384400Trim. Kurtosis (20/499)-0.7165000.001600
Trim. Skewness (21/499)-0.0953000.400800Trim. Kurtosis (21/499)-0.7315000.001400
Trim. Skewness (22/499)-0.0955000.400800Trim. Kurtosis (22/499)-0.7413000.001200
Trim. Skewness (23/499)-0.0961000.400800Trim. Kurtosis (23/499)-0.7509000.001000
Trim. Skewness (24/499)-0.0961000.400800Trim. Kurtosis (24/499)-0.7607000.001000
Trim. Skewness (25/499)-0.0963000.400800Trim. Kurtosis (25/499)-0.7714000.000800
Trim. Skewness (26/499)-0.0975000.395400Trim. Kurtosis (26/499)-0.7812000.000600
Trim. Skewness (27/499)-0.0999000.384400Trim. Kurtosis (27/499)-0.7899000.000600
Trim. Skewness (28/499)-0.1025000.373400Trim. Kurtosis (28/499)-0.7995000.000600
Trim. Skewness (29/499)-0.1056000.362800Trim. Kurtosis (29/499)-0.8099000.000400
Trim. Skewness (30/499)-0.1101000.342200Trim. Kurtosis (30/499)-0.8179000.000400
Trim. Skewness (31/499)-0.1142000.327000Trim. Kurtosis (31/499)-0.8263000.000400
Trim. Skewness (32/499)-0.1183000.307800Trim. Kurtosis (32/499)-0.8346000.000400
Trim. Skewness (33/499)-0.1222000.293800Trim. Kurtosis (33/499)-0.8438000.000400
Trim. Skewness (34/499)-0.1249000.284600Trim. Kurtosis (34/499)-0.8520000.000200
Trim. Skewness (35/499)-0.1279000.275800Trim. Kurtosis (35/499)-0.8603000.000200
Trim. Skewness (36/499)-0.1309000.267000Trim. Kurtosis (36/499)-0.8647000.000200
Trim. Skewness (37/499)-0.1332000.258400Trim. Kurtosis (37/499)-0.8676000.000200
Trim. Skewness (38/499)-0.1345000.254200Trim. Kurtosis (38/499)-0.8697000.000200
Trim. Skewness (39/499)-0.1356000.254200Trim. Kurtosis (39/499)-0.8723000.000200
Trim. Skewness (40/499)-0.1369000.250200Trim. Kurtosis (40/499)-0.8745000.000200
 
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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