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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 14:37:56 +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/t12911278912x7wd4uulcer8nu.htm/, Retrieved Tue, 30 Nov 2010 15:38:11 +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/t12911278912x7wd4uulcer8nu.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 «
51.04791419 51.21486891 46.37024532 50.01316487 47.615112 55.36668258 48.65474656 47.32022283 47.50587106 46.8067937 50.50679919 46.77796772 54.19225637 51.78333991 50.74625072 48.79877804 52.76823274 53.95210346 52.40534368 50.93189164 50.36255641 44.88997131 47.62975379 54.07882953 51.43248838 44.15924677 48.99114737 51.45943665 52.15675137 51.46007424 49.27889767 60.20287084 50.55793566 53.36180914 48.71332004 46.63080551 52.52209337 50.48360021 47.4381531 51.93526288 44.26616363 49.84544159 45.82840991 55.79536863 53.26684589 45.21443303 53.9241444 49.29788106 51.11972931 53.24052058 50.54309744 49.72773695 44.44284088 48.04043694 46.49338657 49.39947599 49.92320219 49.80503783 52.11785743 49.98869168 48.04736129 48.91330356 52.65582842 47.49391846 50.44047384 47.11341612 53.20634047 50.9826303 50.88722218 47.70279483 49.37457896 49.63269323 45.98791857 50.61605117 48.70093951 56.26800897 48.93993488 50.95037998 48.51790947 48. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.7.422593FISHER 4th Cent. Mom.208.535212
FISHER beta 10.131515FISHER beta 23.724671
FISHER gamma 10.362649FISHER gamma 20.724671
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.621818FISHER Test 21.620413
FISHER Test 1 Probability0.103200FISHER Test 2 Probability0.103200
Pearson 20.002319
Yule using Quartile definition:
Weighted Average at Xnp
-0.080591
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.047240
Yule using Quartile definition:
Empirical Distribution Function
-0.080591
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.056318
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.065605
Yule using Quartile definition:
Closest Observation
-0.080591
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.065605
Yule using Quartile definition:
MS Excel (old versions)
-0.038366
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.367256Kurtosis (small sample)0.807514
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.662707TEST 1 (small sample)1.842249
TEST 1 Prob. (small sample)0.095000TEST 1 Prob. (small sample)0.064400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.3673000.095000Trim. Kurtosis (0/120)0.8075000.064400
Trim. Skewness (1/120)0.0723000.741400Trim. Kurtosis (1/120)-0.2502000.568600
Trim. Skewness (2/120)0.0557000.802600Trim. Kurtosis (2/120)-0.3579000.418000
Trim. Skewness (3/120)0.0239000.912400Trim. Kurtosis (3/120)-0.5393000.226200
Trim. Skewness (4/120)-0.0112000.960200Trim. Kurtosis (4/120)-0.6998000.121200
Trim. Skewness (5/120)-0.0454000.841400Trim. Kurtosis (5/120)-0.8471000.062800
Trim. Skewness (6/120)-0.0514000.818000Trim. Kurtosis (6/120)-0.8632000.060200
Trim. Skewness (7/120)-0.0590000.794800Trim. Kurtosis (7/120)-0.8938000.053600
Trim. Skewness (8/120)-0.0667000.771800Trim. Kurtosis (8/120)-0.9328000.046600
Trim. Skewness (9/120)-0.0705000.764200Trim. Kurtosis (9/120)-0.9877000.036600
Trim. Skewness (10/120)-0.0929000.696600Trim. Kurtosis (10/120)-1.0378000.030000
Trim. Skewness (11/120)-0.0950000.696600Trim. Kurtosis (11/120)-1.0518000.029200
Trim. Skewness (12/120)-0.0991000.681800Trim. Kurtosis (12/120)-1.0632000.029200
Trim. Skewness (13/120)-0.1092000.660000Trim. Kurtosis (13/120)-1.0758000.028600
Trim. Skewness (14/120)-0.1207000.624200Trim. Kurtosis (14/120)-1.0997000.027200
Trim. Skewness (15/120)-0.1177000.638400Trim. Kurtosis (15/120)-1.1044000.027800
Trim. Skewness (16/120)-0.1113000.660000Trim. Kurtosis (16/120)-1.1182000.027800
Trim. Skewness (17/120)-0.1128000.660000Trim. Kurtosis (17/120)-1.1279000.027800
Trim. Skewness (18/120)-0.1094000.674400Trim. Kurtosis (18/120)-1.1424000.027800
Trim. Skewness (19/120)-0.1117000.667200Trim. Kurtosis (19/120)-1.1435000.029200
Trim. Skewness (20/120)-0.1183000.660000Trim. Kurtosis (20/120)-1.1420000.031600
Trim. Skewness (21/120)-0.1230000.645600Trim. Kurtosis (21/120)-1.1386000.034000
Trim. Skewness (22/120)-0.1274000.638400Trim. Kurtosis (22/120)-1.1447000.034800
Trim. Skewness (23/120)-0.1396000.610000Trim. Kurtosis (23/120)-1.1543000.035800
Trim. Skewness (24/120)-0.1364000.624200Trim. Kurtosis (24/120)-1.1557000.038400
Trim. Skewness (25/120)-0.1339000.638400Trim. Kurtosis (25/120)-1.1589000.040400
Trim. Skewness (26/120)-0.1378000.631200Trim. Kurtosis (26/120)-1.1581000.043400
Trim. Skewness (27/120)-0.1518000.603000Trim. Kurtosis (27/120)-1.1527000.046600
Trim. Skewness (28/120)-0.1640000.582400Trim. Kurtosis (28/120)-1.1477000.051200
Trim. Skewness (29/120)-0.1782000.555200Trim. Kurtosis (29/120)-1.1480000.054800
Trim. Skewness (30/120)-0.1935000.528600Trim. Kurtosis (30/120)-1.1675000.054800
Trim. Skewness (31/120)-0.1945000.528600Trim. Kurtosis (31/120)-1.1911000.053600
Trim. Skewness (32/120)-0.2075000.509200Trim. Kurtosis (32/120)-1.2189000.051200
Trim. Skewness (33/120)-0.1860000.562000Trim. Kurtosis (33/120)-1.2359000.052400
Trim. Skewness (34/120)-0.1781000.589200Trim. Kurtosis (34/120)-1.2320000.057400
Trim. Skewness (35/120)-0.1709000.610000Trim. Kurtosis (35/120)-1.2280000.062800
Trim. Skewness (36/120)-0.1682000.617000Trim. Kurtosis (36/120)-1.2228000.068800
Trim. Skewness (37/120)-0.1751000.610000Trim. Kurtosis (37/120)-1.1931000.081800
Trim. Skewness (38/120)-0.1878000.596200Trim. Kurtosis (38/120)-1.1630000.097000
Trim. Skewness (39/120)-0.2015000.575400Trim. Kurtosis (39/120)-1.1454000.109600
Trim. Skewness (40/120)-0.2257000.541800Trim. Kurtosis (40/120)-1.1166000.126000
 
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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