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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: Mon, 29 Nov 2010 18:05:22 +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/29/t129105381016mrz8sdfvrsitn.htm/, Retrieved Mon, 29 Nov 2010 19:03:30 +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/29/t129105381016mrz8sdfvrsitn.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 «
30060.79608 33170.35032 23653.91293 31821.77317 23252.46665 31453.63152 22707.53055 25976.84417 30105.31026 33443.1957 27041.68311 30101.42944 23666.16441 25219.07526 26562.24523 27333.53996 32969.34577 26962.66263 29176.04633 29988.98869 25493.31879 32715.49381 27057.13025 26059.84691 28191.47926 23985.26578 26305.81136 25037.48898 23395.92295 20444.35716 31452.80091 25453.47458 22352.85003 22812.33865 33191.71 28847.13633 26393.21991 33066.84878 32437.7226 24706.96579 22722.58519 30790.42217 28012.30453 29684.22019 23241.81289 30881.56153 32260.65077 21840.06222 27899.16111 31501.96364 23955.59965 31226.50382 30461.2283 27381.68641 33133.3655 34353.55266 27984.43175 24329.3137 30754.25237 26975.58939 30400.36447 27715.37008 30208.65449 31217.73751 36496.84152 26504.70734 34034.62103 32380.88239 33129.89663 33435.39813 27325.35078 32004.96294 26262.0624 33242.30781 28264.71721 30231.31421 31682.36253 26740.88455 32450.72225 19174. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.74873e+9FISHER 4th Cent. Mom.7.38908e+14
FISHER beta 10.001650FISHER beta 22.679261
FISHER gamma 1-0.040616FISHER gamma 2-0.320739
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.181642FISHER Test 2-0.717194
FISHER Test 1 Probability0.849200FISHER Test 2 Probability0.471600
Pearson 20.218862
Yule using Quartile definition:
Weighted Average at Xnp
0.146860
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.153628
Yule using Quartile definition:
Empirical Distribution Function
0.146860
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.157302
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.161012
Yule using Quartile definition:
Closest Observation
0.146860
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.161012
Yule using Quartile definition:
MS Excel (old versions)
0.149988
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.041132Kurtosis (small sample)-0.282799
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.186221TEST 1 (small sample)-0.645172
TEST 1 Prob. (small sample)0.849200TEST 1 Prob. (small sample)0.515600
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0411000.849200Trim. Kurtosis (0/120)-0.2828000.515600
Trim. Skewness (1/120)-0.0075000.968000Trim. Kurtosis (1/120)-0.7849000.075000
Trim. Skewness (2/120)0.0107000.960200Trim. Kurtosis (2/120)-0.9401000.034000
Trim. Skewness (3/120)-0.0012000.992000Trim. Kurtosis (3/120)-1.0563000.018200
Trim. Skewness (4/120)0.0060000.976000Trim. Kurtosis (4/120)-1.1278000.012800
Trim. Skewness (5/120)0.0114000.960200Trim. Kurtosis (5/120)-1.1412000.012400
Trim. Skewness (6/120)0.0192000.928200Trim. Kurtosis (6/120)-1.1624000.011400
Trim. Skewness (7/120)0.0198000.928200Trim. Kurtosis (7/120)-1.1721000.011800
Trim. Skewness (8/120)0.0169000.936200Trim. Kurtosis (8/120)-1.1744000.012000
Trim. Skewness (9/120)0.0242000.912400Trim. Kurtosis (9/120)-1.1672000.013600
Trim. Skewness (10/120)0.0313000.896600Trim. Kurtosis (10/120)-1.1614000.015000
Trim. Skewness (11/120)0.0399000.865000Trim. Kurtosis (11/120)-1.1609000.016000
Trim. Skewness (12/120)0.0517000.825800Trim. Kurtosis (12/120)-1.1589000.017400
Trim. Skewness (13/120)0.0597000.810400Trim. Kurtosis (13/120)-1.1516000.019200
Trim. Skewness (14/120)0.0681000.779400Trim. Kurtosis (14/120)-1.1476000.020800
Trim. Skewness (15/120)0.0788000.749000Trim. Kurtosis (15/120)-1.1497000.022000
Trim. Skewness (16/120)0.0873000.733800Trim. Kurtosis (16/120)-1.1556000.022600
Trim. Skewness (17/120)0.0992000.696600Trim. Kurtosis (17/120)-1.1715000.022600
Trim. Skewness (18/120)0.1073000.681800Trim. Kurtosis (18/120)-1.1844000.022600
Trim. Skewness (19/120)0.1247000.638400Trim. Kurtosis (19/120)-1.1992000.022000
Trim. Skewness (20/120)0.1422000.596200Trim. Kurtosis (20/120)-1.1993000.023800
Trim. Skewness (21/120)0.1628000.548400Trim. Kurtosis (21/120)-1.2086000.024400
Trim. Skewness (22/120)0.1743000.522200Trim. Kurtosis (22/120)-1.2095000.025800
Trim. Skewness (23/120)0.1822000.509200Trim. Kurtosis (23/120)-1.2141000.027200
Trim. Skewness (24/120)0.1942000.490200Trim. Kurtosis (24/120)-1.2238000.028600
Trim. Skewness (25/120)0.1986000.484000Trim. Kurtosis (25/120)-1.2388000.028600
Trim. Skewness (26/120)0.2074000.471600Trim. Kurtosis (26/120)-1.2416000.030000
Trim. Skewness (27/120)0.2182000.459200Trim. Kurtosis (27/120)-1.2359000.033200
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.2311000.036600
Trim. Skewness (29/120)0.2429000.423800Trim. Kurtosis (29/120)-1.2265000.040400
Trim. Skewness (30/120)0.2567000.400800Trim. Kurtosis (30/120)-1.2164000.045600
Trim. Skewness (31/120)0.2676000.389800Trim. Kurtosis (31/120)-1.2120000.048800
Trim. Skewness (32/120)0.2794000.378800Trim. Kurtosis (32/120)-1.2184000.052400
Trim. Skewness (33/120)0.2892000.368200Trim. Kurtosis (33/120)-1.2538000.048800
Trim. Skewness (34/120)0.3142000.337000Trim. Kurtosis (34/120)-1.2889000.046600
Trim. Skewness (35/120)0.3059000.362800Trim. Kurtosis (35/120)-1.3275000.044400
Trim. Skewness (36/120)0.3165000.352400Trim. Kurtosis (36/120)-1.3316000.047800
Trim. Skewness (37/120)0.3267000.347200Trim. Kurtosis (37/120)-1.3382000.051200
Trim. Skewness (38/120)0.3209000.368200Trim. Kurtosis (38/120)-1.3546000.052400
Trim. Skewness (39/120)0.3333000.357600Trim. Kurtosis (39/120)-1.3337000.061400
Trim. Skewness (40/120)0.3456000.352400Trim. Kurtosis (40/120)-1.3126000.071800
 
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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