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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 18:46:08 +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/t1291142652bpdda2p83l8wd1i.htm/, Retrieved Tue, 30 Nov 2010 19:44:12 +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/t1291142652bpdda2p83l8wd1i.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 «
134,0312414 139,5433428 133,7298869 132,0270546 136,1000985 133,3147854 136,1587922 141,1562739 134,8490836 138,4053588 134,419752 135,1671129 137,7873247 135,8021741 137,1560432 133,2128393 141,44362 139,1914706 135,9319951 134,5356186 136,7229544 134,4678993 135,7813719 133,8826654 137,287261 137,7658575 135,4341041 135,7038596 134,3446425 137,9327173 135,6962892 134,2350038 132,5730868 135,5870319 133,8500218 136,6368767 135,5890241 135,474018 138,3312379 136,8812299 136,5282934 136,940735 135,4029582 136,3531816 139,6443139 135,4616221 135,4341579 134,4779446 132,71659 134,9195901 133,6907443 135,6542853 137,867642 133,6299048 132,392204 134,2620941 133,8489154 134,7178403 136,0908288 137,139256 135,1632712 134,4331706 135,7482073 136,4565815 133,2239237 137,6057415 134,4831497 137,8011721 134,5279993 134,2468464 136,6499367 135,9573008 137,7869937 134,9578608 136,8104877 137,1674485 133,4004973 136,0078666 139,2733953 136,9158 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.364211FISHER 4th Cent. Mom.55.317152
FISHER beta 10.022582FISHER beta 22.920924
FISHER gamma 10.150272FISHER gamma 2-0.079076
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.371786FISHER Test 2-0.360933
FISHER Test 1 Probability0.167600FISHER Test 2 Probability0.711400
Pearson 20.167744
Yule using Quartile definition:
Weighted Average at Xnp
0.046979
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.052997
Yule using Quartile definition:
Empirical Distribution Function
0.046979
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.052239
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.051478
Yule using Quartile definition:
Closest Observation
0.046979
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.051478
Yule using Quartile definition:
MS Excel (old versions)
0.053750
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.150724Kurtosis (small sample)-0.067776
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.380033TEST 1 (small sample)-0.310892
TEST 1 Prob. (small sample)0.164600TEST 1 Prob. (small sample)0.749000
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1507000.164600Trim. Kurtosis (0/500)-0.0678000.749000
Trim. Skewness (1/500)0.1345000.218600Trim. Kurtosis (1/500)-0.1608000.459200
Trim. Skewness (2/500)0.1164000.284600Trim. Kurtosis (2/500)-0.2455000.258400
Trim. Skewness (3/500)0.1051000.337000Trim. Kurtosis (3/500)-0.3148000.149800
Trim. Skewness (4/500)0.0986000.368200Trim. Kurtosis (4/500)-0.3730000.089200
Trim. Skewness (5/500)0.0890000.418000Trim. Kurtosis (5/500)-0.4311000.050000
Trim. Skewness (6/500)0.0830000.447200Trim. Kurtosis (6/500)-0.4830000.028600
Trim. Skewness (7/500)0.0746000.496400Trim. Kurtosis (7/500)-0.5379000.014600
Trim. Skewness (8/500)0.0691000.528600Trim. Kurtosis (8/500)-0.5858000.008000
Trim. Skewness (9/500)0.0692000.528600Trim. Kurtosis (9/500)-0.6224000.005000
Trim. Skewness (10/500)0.0706000.522200Trim. Kurtosis (10/500)-0.6528000.003200
Trim. Skewness (11/500)0.0732000.509200Trim. Kurtosis (11/500)-0.6831000.002200
Trim. Skewness (12/500)0.0769000.490200Trim. Kurtosis (12/500)-0.7108000.001400
Trim. Skewness (13/500)0.0785000.484000Trim. Kurtosis (13/500)-0.7318000.001000
Trim. Skewness (14/500)0.0810000.465400Trim. Kurtosis (14/500)-0.7440000.001000
Trim. Skewness (15/500)0.0832000.459200Trim. Kurtosis (15/500)-0.7565000.000800
Trim. Skewness (16/500)0.0853000.447200Trim. Kurtosis (16/500)-0.7691000.000600
Trim. Skewness (17/500)0.0876000.435400Trim. Kurtosis (17/500)-0.7796000.000600
Trim. Skewness (18/500)0.0898000.423800Trim. Kurtosis (18/500)-0.7879000.000400
Trim. Skewness (19/500)0.0908000.423800Trim. Kurtosis (19/500)-0.7949000.000400
Trim. Skewness (20/500)0.0915000.418000Trim. Kurtosis (20/500)-0.8029000.000400
Trim. Skewness (21/500)0.0921000.418000Trim. Kurtosis (21/500)-0.8116000.000400
Trim. Skewness (22/500)0.0925000.418000Trim. Kurtosis (22/500)-0.8212000.000400
Trim. Skewness (23/500)0.0937000.412200Trim. Kurtosis (23/500)-0.8310000.000200
Trim. Skewness (24/500)0.0956000.400800Trim. Kurtosis (24/500)-0.8409000.000200
Trim. Skewness (25/500)0.0975000.395400Trim. Kurtosis (25/500)-0.8470000.000200
Trim. Skewness (26/500)0.0997000.384400Trim. Kurtosis (26/500)-0.8534000.000200
Trim. Skewness (27/500)0.1019000.373400Trim. Kurtosis (27/500)-0.8611000.000200
Trim. Skewness (28/500)0.1038000.368200Trim. Kurtosis (28/500)-0.8693000.000200
Trim. Skewness (29/500)0.1051000.362800Trim. Kurtosis (29/500)-0.8770000.000200
Trim. Skewness (30/500)0.1064000.357600Trim. Kurtosis (30/500)-0.8848000.000200
Trim. Skewness (31/500)0.1068000.357600Trim. Kurtosis (31/500)-0.8924000.000200
Trim. Skewness (32/500)0.1070000.357600Trim. Kurtosis (32/500)-0.9007000.000200
Trim. Skewness (33/500)0.1070000.357600Trim. Kurtosis (33/500)-0.9101000.000000
Trim. Skewness (34/500)0.1068000.362800Trim. Kurtosis (34/500)-0.9196000.000000
Trim. Skewness (35/500)0.1055000.368200Trim. Kurtosis (35/500)-0.9293000.000000
Trim. Skewness (36/500)0.1035000.378800Trim. Kurtosis (36/500)-0.9378000.000000
Trim. Skewness (37/500)0.1008000.389800Trim. Kurtosis (37/500)-0.9455000.000000
Trim. Skewness (38/500)0.0976000.406600Trim. Kurtosis (38/500)-0.9535000.000000
Trim. Skewness (39/500)0.0941000.423800Trim. Kurtosis (39/500)-0.9598000.000000
Trim. Skewness (40/500)0.0904000.447200Trim. Kurtosis (40/500)-0.9668000.000000
 
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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