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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 14:46:36 +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/t1291128275hgzfnjfahvpz8dk.htm/, Retrieved Tue, 30 Nov 2010 15:44:35 +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/t1291128275hgzfnjfahvpz8dk.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 «
49.02050062 52.89851645 49.3095631 49.82369558 52.24432573 51.60875315 56.25653895 50.69290283 49.63667831 52.11799961 49.74116594 55.08388254 51.16691451 50.17828984 52.30386855 48.60019379 48.31386111 52.36908261 54.13427249 46.76853523 46.04829477 56.38058987 51.42175318 47.41050107 44.66806271 51.84603337 51.29745862 51.37875371 54.59719947 46.31344009 49.74087046 49.79923021 54.01920146 53.26443266 52.80940168 49.43965132 50.55776425 48.70283511 49.87345831 51.00388876 47.3096431 48.21923617 50.69006656 50.83533476 50.26270118 48.18493082 50.1745758 50.96893719 51.92861343 43.49277254 53.18153356 51.59043214 54.1329138 51.8166709 54.68374431 50.44692304 53.26303247 48.02640309 53.81590801 47.42269076 45.65939195 47.85767373 55.1961944 50.8547373 49.58638521 46.96238095 49.78355056 50.13835747 50.96281024 53.04211684 49.76462751 44.21614184 47.37763293 53.23828516 51.5023108 48.907059 52.86808996 44.23827524 52.40141832 49.9501 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-8.580576FISHER 4th Cent. Mom.231.426164
FISHER beta 10.112807FISHER beta 23.075726
FISHER gamma 1-0.335867FISHER gamma 20.075726
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.502045FISHER Test 20.169328
FISHER Test 1 Probability0.131000FISHER Test 2 Probability0.865000
Pearson 2-0.094748
Yule using Quartile definition:
Weighted Average at Xnp
-0.030563
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.003426
Yule using Quartile definition:
Empirical Distribution Function
-0.030563
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.000532
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.002453
Yule using Quartile definition:
Closest Observation
-0.030563
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.002453
Yule using Quartile definition:
MS Excel (old versions)
0.006233
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.340134Kurtosis (small sample)0.130695
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.539914TEST 1 (small sample)0.298165
TEST 1 Prob. (small sample)0.123600TEST 1 Prob. (small sample)0.764200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.3401000.123600Trim. Kurtosis (0/120)0.1307000.764200
Trim. Skewness (1/120)-0.3150000.155600Trim. Kurtosis (1/120)0.0390000.928200
Trim. Skewness (2/120)-0.2764000.215000Trim. Kurtosis (2/120)-0.1337000.756600
Trim. Skewness (3/120)-0.2495000.267000Trim. Kurtosis (3/120)-0.2224000.617000
Trim. Skewness (4/120)-0.2144000.347200Trim. Kurtosis (4/120)-0.3132000.484000
Trim. Skewness (5/120)-0.2034000.373400Trim. Kurtosis (5/120)-0.3569000.429600
Trim. Skewness (6/120)-0.1818000.429600Trim. Kurtosis (6/120)-0.4472000.332000
Trim. Skewness (7/120)-0.1438000.535200Trim. Kurtosis (7/120)-0.5476000.238000
Trim. Skewness (8/120)-0.1023000.660000Trim. Kurtosis (8/120)-0.6811000.144200
Trim. Skewness (9/120)-0.0741000.749000Trim. Kurtosis (9/120)-0.7310000.121200
Trim. Skewness (10/120)-0.0547000.818000Trim. Kurtosis (10/120)-0.7831000.101000
Trim. Skewness (11/120)-0.0353000.880800Trim. Kurtosis (11/120)-0.8420000.080200
Trim. Skewness (12/120)-0.0119000.960200Trim. Kurtosis (12/120)-0.8991000.064400
Trim. Skewness (13/120)0.0008000.992000Trim. Kurtosis (13/120)-0.9598000.051200
Trim. Skewness (14/120)0.0161000.944200Trim. Kurtosis (14/120)-0.9581000.053600
Trim. Skewness (15/120)0.0257000.912400Trim. Kurtosis (15/120)-0.9533000.057400
Trim. Skewness (16/120)0.0377000.880800Trim. Kurtosis (16/120)-0.9579000.058800
Trim. Skewness (17/120)0.0388000.880800Trim. Kurtosis (17/120)-0.9482000.064400
Trim. Skewness (18/120)0.0423000.865000Trim. Kurtosis (18/120)-0.9402000.070200
Trim. Skewness (19/120)0.0483000.849200Trim. Kurtosis (19/120)-0.9383000.073400
Trim. Skewness (20/120)0.0576000.825800Trim. Kurtosis (20/120)-0.9364000.076800
Trim. Skewness (21/120)0.0676000.802600Trim. Kurtosis (21/120)-0.9495000.076800
Trim. Skewness (22/120)0.0819000.764200Trim. Kurtosis (22/120)-0.9878000.068800
Trim. Skewness (23/120)0.0684000.802600Trim. Kurtosis (23/120)-1.0078000.067200
Trim. Skewness (24/120)0.0500000.857200Trim. Kurtosis (24/120)-1.0421000.061400
Trim. Skewness (25/120)0.0475000.865000Trim. Kurtosis (25/120)-1.0300000.068800
Trim. Skewness (26/120)0.0470000.865000Trim. Kurtosis (26/120)-1.0226000.073400
Trim. Skewness (27/120)0.0443000.872800Trim. Kurtosis (27/120)-1.0232000.078400
Trim. Skewness (28/120)0.0357000.904400Trim. Kurtosis (28/120)-1.0212000.083600
Trim. Skewness (29/120)0.0296000.920400Trim. Kurtosis (29/120)-1.0321000.083600
Trim. Skewness (30/120)0.0345000.904400Trim. Kurtosis (30/120)-1.0459000.085400
Trim. Skewness (31/120)0.0459000.880800Trim. Kurtosis (31/120)-1.0464000.089200
Trim. Skewness (32/120)0.0655000.833600Trim. Kurtosis (32/120)-1.0657000.089200
Trim. Skewness (33/120)0.0618000.841400Trim. Kurtosis (33/120)-1.0438000.101000
Trim. Skewness (34/120)0.0554000.865000Trim. Kurtosis (34/120)-1.0301000.111800
Trim. Skewness (35/120)0.0470000.888600Trim. Kurtosis (35/120)-1.0084000.126000
Trim. Skewness (36/120)0.0525000.872800Trim. Kurtosis (36/120)-0.9679000.149800
Trim. Skewness (37/120)0.0604000.857200Trim. Kurtosis (37/120)-0.9406000.170600
Trim. Skewness (38/120)0.0556000.872800Trim. Kurtosis (38/120)-0.9052000.193600
Trim. Skewness (39/120)0.0522000.880800Trim. Kurtosis (39/120)-0.8790000.218600
Trim. Skewness (40/120)0.0634000.865000Trim. Kurtosis (40/120)-0.8620000.238000
 
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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