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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 18:03:42 +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/t1291053716aun16h4hc2pkg6t.htm/, Retrieved Mon, 29 Nov 2010 19:01:56 +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/t1291053716aun16h4hc2pkg6t.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 «
4582.051378 4477.157972 4518.157547 4656.407613 4463.512907 4415.309394 4471.375475 4573.370525 4110.547564 4219.445683 4772.170455 4785.749011 5094.891241 4670.601185 4948.129542 4233.897073 4550.987894 4902.098714 4363.403534 4443.506038 4587.293236 4511.504889 4138.643055 5349.762001 5162.104601 4429.613926 4830.677975 4848.508206 4580.264296 4084.04898 4576.431794 4319.911564 4705.390145 4668.591175 4740.386213 4033.098749 4636.980202 4763.796346 4687.715581 4220.399546 4619.14232 4734.37684 4361.164585 4672.795452 4129.50831 5407.06824 4401.590768 4290.691207 4218.126303 4874.80947 4742.943067 3870.957362 4861.46302 5190.429557 4319.658825 3739.211133 4659.104278 3923.956889 3752.156092 4212.39518 5014.626907 4268.841458 4141.155019 4664.305601 4782.543726 4437.74895 4881.110855 4491.936146 4297.018089 4356.673263 5038.150032 4861.376776 4386.283064 4387.959961 4535.273633 4996.517348 4216.838166 5515.116326 4088.86073 4441.64 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.6.20682e+6FISHER 4th Cent. Mom.4.92312e+10
FISHER beta 10.017083FISHER beta 22.862852
FISHER gamma 10.130704FISHER gamma 2-0.137148
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.584525FISHER Test 2-0.306671
FISHER Test 1 Probability0.555200FISHER Test 2 Probability0.756600
Pearson 2-0.161458
Yule using Quartile definition:
Weighted Average at Xnp
-0.186497
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.175270
Yule using Quartile definition:
Empirical Distribution Function
-0.186497
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.169331
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.163273
Yule using Quartile definition:
Closest Observation
-0.186497
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.163273
Yule using Quartile definition:
MS Excel (old versions)
-0.181091
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.132364Kurtosis (small sample)-0.091322
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.599262TEST 1 (small sample)-0.208340
TEST 1 Prob. (small sample)0.548400TEST 1 Prob. (small sample)0.833600
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1324000.548400Trim. Kurtosis (0/120)-0.0913000.833600
Trim. Skewness (1/120)0.0677000.756600Trim. Kurtosis (1/120)-0.2658000.541800
Trim. Skewness (2/120)0.0305000.888600Trim. Kurtosis (2/120)-0.4015000.362800
Trim. Skewness (3/120)-0.0272000.896600Trim. Kurtosis (3/120)-0.4986000.267000
Trim. Skewness (4/120)-0.1034000.645600Trim. Kurtosis (4/120)-0.6546000.147000
Trim. Skewness (5/120)-0.1323000.562000Trim. Kurtosis (5/120)-0.7042000.121200
Trim. Skewness (6/120)-0.1666000.471600Trim. Kurtosis (6/120)-0.7500000.103200
Trim. Skewness (7/120)-0.1972000.395400Trim. Kurtosis (7/120)-0.8010000.083600
Trim. Skewness (8/120)-0.2220000.347200Trim. Kurtosis (8/120)-0.8570000.067200
Trim. Skewness (9/120)-0.2313000.332000Trim. Kurtosis (9/120)-0.9012000.056200
Trim. Skewness (10/120)-0.2390000.322200Trim. Kurtosis (10/120)-0.9478000.046600
Trim. Skewness (11/120)-0.2568000.289200Trim. Kurtosis (11/120)-0.9764000.042400
Trim. Skewness (12/120)-0.2647000.280200Trim. Kurtosis (12/120)-0.9869000.042400
Trim. Skewness (13/120)-0.2576000.298400Trim. Kurtosis (13/120)-0.9971000.042400
Trim. Skewness (14/120)-0.2558000.307800Trim. Kurtosis (14/120)-1.0025000.043400
Trim. Skewness (15/120)-0.2552000.312400Trim. Kurtosis (15/120)-0.9936000.047800
Trim. Skewness (16/120)-0.2539000.322200Trim. Kurtosis (16/120)-0.9903000.051200
Trim. Skewness (17/120)-0.2579000.317400Trim. Kurtosis (17/120)-0.9799000.056200
Trim. Skewness (18/120)-0.2622000.317400Trim. Kurtosis (18/120)-0.9774000.058800
Trim. Skewness (19/120)-0.2626000.322200Trim. Kurtosis (19/120)-0.9791000.061400
Trim. Skewness (20/120)-0.2658000.322200Trim. Kurtosis (20/120)-0.9889000.062800
Trim. Skewness (21/120)-0.2658000.327000Trim. Kurtosis (21/120)-1.0034000.061400
Trim. Skewness (22/120)-0.2601000.342200Trim. Kurtosis (22/120)-1.0382000.056200
Trim. Skewness (23/120)-0.2474000.373400Trim. Kurtosis (23/120)-1.1046000.044400
Trim. Skewness (24/120)-0.2718000.332000Trim. Kurtosis (24/120)-1.1094000.046600
Trim. Skewness (25/120)-0.2752000.337000Trim. Kurtosis (25/120)-1.0958000.052400
Trim. Skewness (26/120)-0.2759000.342200Trim. Kurtosis (26/120)-1.0913000.056200
Trim. Skewness (27/120)-0.2682000.362800Trim. Kurtosis (27/120)-1.0982000.058800
Trim. Skewness (28/120)-0.2494000.400800Trim. Kurtosis (28/120)-1.1267000.056200
Trim. Skewness (29/120)-0.2311000.441200Trim. Kurtosis (29/120)-1.1615000.052400
Trim. Skewness (30/120)-0.2098000.496400Trim. Kurtosis (30/120)-1.1857000.051200
Trim. Skewness (31/120)-0.1937000.535200Trim. Kurtosis (31/120)-1.2037000.051200
Trim. Skewness (32/120)-0.1887000.548400Trim. Kurtosis (32/120)-1.2049000.054800
Trim. Skewness (33/120)-0.1745000.589200Trim. Kurtosis (33/120)-1.2278000.053600
Trim. Skewness (34/120)-0.1574000.631200Trim. Kurtosis (34/120)-1.2753000.048800
Trim. Skewness (35/120)-0.1429000.667200Trim. Kurtosis (35/120)-1.2892000.051200
Trim. Skewness (36/120)-0.1115000.741400Trim. Kurtosis (36/120)-1.3341000.047800
Trim. Skewness (37/120)-0.1018000.764200Trim. Kurtosis (37/120)-1.3462000.050000
Trim. Skewness (38/120)-0.0980000.779400Trim. Kurtosis (38/120)-1.3583000.052400
Trim. Skewness (39/120)-0.0866000.810400Trim. Kurtosis (39/120)-1.3824000.053600
Trim. Skewness (40/120)-0.0550000.880800Trim. Kurtosis (40/120)-1.4318000.050000
 
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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