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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 18:36:46 +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/t12911420921wgorcu5wsqmixf.htm/, Retrieved Tue, 30 Nov 2010 19:34:52 +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/t12911420921wgorcu5wsqmixf.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 «
40,88689209 46,00535977 39,65792576 41,25090739 40,29780378 42,47542058 40,49618464 42,23454745 39,47708245 36,64600967 36,98014396 44,49939502 39,48059511 42,11495668 43,33151586 42,91362685 36,89810264 39,56948108 40,88253132 44,43942702 41,41271943 38,54636633 43,78199143 40,58789394 41,10175555 38,92643585 38,68309123 41,68302117 37,93471857 39,37416585 43,18527708 43,03901432 40,11138596 39,59509703 36,66279369 44,46062461 38,71629026 41,36132222 38,07959373 42,07144983 39,38666232 39,73026831 42,68989498 40,60167812 32,25669168 37,34782746 37,36419731 43,02756669 38,66343524 37,81770537 40,68692341 39,09262244 41,00284733 39,87866886 41,62302386 38,60745492 38,60323148 41,09227226 42,58040423 38,22008785 41,42915838 42,23365719 43,2277209 37,41605801 39,40457721 38,37055427 41,88096982 41,41600896 38,76589674 37,81991217 40,72330886 43,02522828 41,91270694 38,69114551 38,73776296 42,31245689 37,35459451 39,78929892 38,93005948 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.551099FISHER 4th Cent. Mom.78.076094
FISHER beta 10.023552FISHER beta 23.572853
FISHER gamma 1-0.153466FISHER gamma 20.572853
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.686321FISHER Test 21.280939
FISHER Test 1 Probability0.490200FISHER Test 2 Probability0.197000
Pearson 20.070773
Yule using Quartile definition:
Weighted Average at Xnp
-0.005055
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.004088
Yule using Quartile definition:
Empirical Distribution Function
-0.005055
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.003312
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.002530
Yule using Quartile definition:
Closest Observation
-0.005055
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.002530
Yule using Quartile definition:
MS Excel (old versions)
0.004858
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.155416Kurtosis (small sample)0.649175
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.703624TEST 1 (small sample)1.481018
TEST 1 Prob. (small sample)0.477600TEST 1 Prob. (small sample)0.136200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1554000.477600Trim. Kurtosis (0/120)0.6492000.136200
Trim. Skewness (1/120)0.1474000.502800Trim. Kurtosis (1/120)-0.7575000.085400
Trim. Skewness (2/120)0.1395000.528600Trim. Kurtosis (2/120)-0.7813000.078400
Trim. Skewness (3/120)0.1337000.548400Trim. Kurtosis (3/120)-0.8149000.068800
Trim. Skewness (4/120)0.1166000.603000Trim. Kurtosis (4/120)-0.8555000.058800
Trim. Skewness (5/120)0.0915000.689200Trim. Kurtosis (5/120)-0.9191000.043400
Trim. Skewness (6/120)0.0830000.718800Trim. Kurtosis (6/120)-0.9510000.038400
Trim. Skewness (7/120)0.0748000.749000Trim. Kurtosis (7/120)-0.9903000.033200
Trim. Skewness (8/120)0.0592000.802600Trim. Kurtosis (8/120)-1.0231000.029200
Trim. Skewness (9/120)0.0642000.787200Trim. Kurtosis (9/120)-1.0290000.029200
Trim. Skewness (10/120)0.0746000.756600Trim. Kurtosis (10/120)-1.0385000.029200
Trim. Skewness (11/120)0.0862000.718800Trim. Kurtosis (11/120)-1.0539000.028600
Trim. Skewness (12/120)0.1016000.674400Trim. Kurtosis (12/120)-1.0636000.028600
Trim. Skewness (13/120)0.1027000.674400Trim. Kurtosis (13/120)-1.0593000.030800
Trim. Skewness (14/120)0.1035000.674400Trim. Kurtosis (14/120)-1.0645000.032400
Trim. Skewness (15/120)0.0969000.696600Trim. Kurtosis (15/120)-1.0746000.032400
Trim. Skewness (16/120)0.0916000.718800Trim. Kurtosis (16/120)-1.0810000.033200
Trim. Skewness (17/120)0.0822000.749000Trim. Kurtosis (17/120)-1.0944000.033200
Trim. Skewness (18/120)0.0759000.771800Trim. Kurtosis (18/120)-1.1104000.032400
Trim. Skewness (19/120)0.0701000.787200Trim. Kurtosis (19/120)-1.1232000.032400
Trim. Skewness (20/120)0.0663000.802600Trim. Kurtosis (20/120)-1.1315000.033200
Trim. Skewness (21/120)0.0626000.810400Trim. Kurtosis (21/120)-1.1320000.034800
Trim. Skewness (22/120)0.0577000.833600Trim. Kurtosis (22/120)-1.1411000.035800
Trim. Skewness (23/120)0.0581000.833600Trim. Kurtosis (23/120)-1.1464000.037600
Trim. Skewness (24/120)0.0454000.865000Trim. Kurtosis (24/120)-1.1456000.040400
Trim. Skewness (25/120)0.0319000.904400Trim. Kurtosis (25/120)-1.1404000.043400
Trim. Skewness (26/120)0.0133000.960200Trim. Kurtosis (26/120)-1.1500000.044400
Trim. Skewness (27/120)-0.0023000.992000Trim. Kurtosis (27/120)-1.1491000.047800
Trim. Skewness (28/120)-0.0197000.944200Trim. Kurtosis (28/120)-1.1549000.050000
Trim. Skewness (29/120)-0.0324000.912400Trim. Kurtosis (29/120)-1.1635000.051200
Trim. Skewness (30/120)-0.0389000.896600Trim. Kurtosis (30/120)-1.1805000.051200
Trim. Skewness (31/120)-0.0455000.880800Trim. Kurtosis (31/120)-1.2193000.047800
Trim. Skewness (32/120)-0.0256000.928200Trim. Kurtosis (32/120)-1.2484000.046600
Trim. Skewness (33/120)0.0048000.984000Trim. Kurtosis (33/120)-1.3019000.041400
Trim. Skewness (34/120)0.0164000.960200Trim. Kurtosis (34/120)-1.3397000.038400
Trim. Skewness (35/120)0.0465000.888600Trim. Kurtosis (35/120)-1.4052000.033200
Trim. Skewness (36/120)0.0706000.833600Trim. Kurtosis (36/120)-1.4255000.034000
Trim. Skewness (37/120)0.0735000.825800Trim. Kurtosis (37/120)-1.4222000.038400
Trim. Skewness (38/120)0.0618000.857200Trim. Kurtosis (38/120)-1.4177000.042400
Trim. Skewness (39/120)0.0489000.888600Trim. Kurtosis (39/120)-1.4120000.047800
Trim. Skewness (40/120)0.0291000.936200Trim. Kurtosis (40/120)-1.4237000.051200
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





Copyright

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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