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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 17:29:37 +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/t1291051656l03rjyq9vrqyjtr.htm/, Retrieved Mon, 29 Nov 2010 18:27:36 +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/t1291051656l03rjyq9vrqyjtr.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 «
1980.77 2004.32 1997.28 1997.91 1976.57 1973.95 1970.54 1963.02 1890.27 1856.11 1851.65 1839.94 1802.74 1794.97 1805.38 1834.19 1884.03 1870.39 1925.48 1893.94 1900.09 1858.77 1883.81 1906.49 1907.22 1916.88 1927.25 1884.26 1884.02 1843 1832.24 1823.78 1783.23 1756.19 1783.2 1740.36 1725.58 1697.6 1681.13 1688.15 1696.58 1610.56 1566.27 1584.19 1552.18 1527.27 1553.05 1616.51 1647.25 1671.04 1661.76 1707.74 1700.97 1698.43 1689.64 1708.66 1754.02 1749.29 1756.96 1783.16 1751.56 1700.44 1748.74 1772.84 1831.13 1808.37 1800.15 1765.51 1770.66 1807.14 1822.32 1848.33 1873.87 1923.46 1856.69 1884.15 1903.89 1905.37 1955.82 1934.02 1920.82 1950.98 1953.35 1993.47 1969.62 2024.9 2073.54 2126.23 2085.68 2049.45 2016.37 1978.37 2005.33 2049.67 2078.75 2107.98 2056.37 2064.64 2074.97 2065.59 2084.52 2063.65 2071.37 2091.61 2084.9 2066.54 2063.02 2071.39 2046.17 2056.61 2064.32 2059.75 2070.19 2008.98 1995. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.19212e+6FISHER 4th Cent. Mom.1.05629e+9
FISHER beta 10.143395FISHER beta 22.289342
FISHER gamma 1-0.378676FISHER gamma 2-0.710658
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.693489FISHER Test 2-1.589079
FISHER Test 1 Probability0.089200FISHER Test 2 Probability0.111800
Pearson 2-0.206079
Yule using Quartile definition:
Weighted Average at Xnp
-0.069764
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.066820
Yule using Quartile definition:
Empirical Distribution Function
-0.069764
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.064806
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.062781
Yule using Quartile definition:
Closest Observation
-0.069764
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.062781
Yule using Quartile definition:
MS Excel (old versions)
-0.068823
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.383486Kurtosis (small sample)-0.689466
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.736185TEST 1 (small sample)-1.572936
TEST 1 Prob. (small sample)0.081800TEST 1 Prob. (small sample)0.114200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.3835000.081800Trim. Kurtosis (0/120)-0.6895000.114200
Trim. Skewness (1/120)-0.3560000.109600Trim. Kurtosis (1/120)-0.7582000.085400
Trim. Skewness (2/120)-0.3306000.138800Trim. Kurtosis (2/120)-0.8027000.070200
Trim. Skewness (3/120)-0.2906000.197000Trim. Kurtosis (3/120)-0.8728000.051200
Trim. Skewness (4/120)-0.2482000.275800Trim. Kurtosis (4/120)-0.9462000.036600
Trim. Skewness (5/120)-0.2095000.362800Trim. Kurtosis (5/120)-1.0112000.026400
Trim. Skewness (6/120)-0.1828000.429600Trim. Kurtosis (6/120)-1.0480000.022600
Trim. Skewness (7/120)-0.1512000.515600Trim. Kurtosis (7/120)-1.0931000.018800
Trim. Skewness (8/120)-0.1345000.568600Trim. Kurtosis (8/120)-1.1024000.018800
Trim. Skewness (9/120)-0.1230000.603000Trim. Kurtosis (9/120)-1.1016000.019800
Trim. Skewness (10/120)-0.1135000.631200Trim. Kurtosis (10/120)-1.0960000.021400
Trim. Skewness (11/120)-0.1081000.652800Trim. Kurtosis (11/120)-1.0851000.024400
Trim. Skewness (12/120)-0.1048000.667200Trim. Kurtosis (12/120)-1.0712000.027800
Trim. Skewness (13/120)-0.0992000.689200Trim. Kurtosis (13/120)-1.0583000.031600
Trim. Skewness (14/120)-0.0962000.696600Trim. Kurtosis (14/120)-1.0423000.035800
Trim. Skewness (15/120)-0.0919000.711400Trim. Kurtosis (15/120)-1.0297000.040400
Trim. Skewness (16/120)-0.0864000.733800Trim. Kurtosis (16/120)-1.0233000.043400
Trim. Skewness (17/120)-0.0801000.756600Trim. Kurtosis (17/120)-1.0239000.045600
Trim. Skewness (18/120)-0.0712000.779400Trim. Kurtosis (18/120)-1.0386000.045600
Trim. Skewness (19/120)-0.0635000.810400Trim. Kurtosis (19/120)-1.0560000.044400
Trim. Skewness (20/120)-0.0504000.849200Trim. Kurtosis (20/120)-1.0919000.039400
Trim. Skewness (21/120)-0.0546000.833600Trim. Kurtosis (21/120)-1.1175000.037600
Trim. Skewness (22/120)-0.0682000.802600Trim. Kurtosis (22/120)-1.1266000.038400
Trim. Skewness (23/120)-0.0942000.733800Trim. Kurtosis (23/120)-1.1422000.037600
Trim. Skewness (24/120)-0.1233000.660000Trim. Kurtosis (24/120)-1.1723000.035800
Trim. Skewness (25/120)-0.1305000.645600Trim. Kurtosis (25/120)-1.1738000.037600
Trim. Skewness (26/120)-0.1304000.652800Trim. Kurtosis (26/120)-1.1717000.040400
Trim. Skewness (27/120)-0.1227000.674400Trim. Kurtosis (27/120)-1.1689000.044400
Trim. Skewness (28/120)-0.1073000.718800Trim. Kurtosis (28/120)-1.1762000.045600
Trim. Skewness (29/120)-0.0990000.741400Trim. Kurtosis (29/120)-1.1753000.048800
Trim. Skewness (30/120)-0.0867000.771800Trim. Kurtosis (30/120)-1.1668000.054800
Trim. Skewness (31/120)-0.0725000.810400Trim. Kurtosis (31/120)-1.1679000.058800
Trim. Skewness (32/120)-0.0724000.818000Trim. Kurtosis (32/120)-1.1545000.065800
Trim. Skewness (33/120)-0.0675000.833600Trim. Kurtosis (33/120)-1.1559000.070200
Trim. Skewness (34/120)-0.0540000.865000Trim. Kurtosis (34/120)-1.1843000.067200
Trim. Skewness (35/120)-0.0382000.904400Trim. Kurtosis (35/120)-1.1631000.078400
Trim. Skewness (36/120)-0.0285000.928200Trim. Kurtosis (36/120)-1.1363000.091000
Trim. Skewness (37/120)-0.0153000.960200Trim. Kurtosis (37/120)-1.1088000.105200
Trim. Skewness (38/120)0.0012000.992000Trim. Kurtosis (38/120)-1.0839000.121200
Trim. Skewness (39/120)0.0286000.936200Trim. Kurtosis (39/120)-1.0695000.133600
Trim. Skewness (40/120)0.0788000.825800Trim. Kurtosis (40/120)-1.0812000.138800
 
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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