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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 14:45:45 +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/t1291128225536mk44c3ajikv3.htm/, Retrieved Tue, 30 Nov 2010 15:43:45 +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/t1291128225536mk44c3ajikv3.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 «
50.75129789 44.75438069 51.12900454 51.83519562 49.44379061 50.82067193 48.91683445 50.86369809 43.60184486 54.06957639 51.10296014 51.61977976 46.96386373 49.50892549 48.78418128 50.22368258 48.44170927 42.88068935 47.51481906 52.59931693 50.71489038 46.41966071 51.36383284 48.1462722 48.76489205 45.69367451 50.02869886 48.82129853 45.5135058 48.20734486 49.09148264 44.94180162 49.76916992 50.45592363 53.25647378 44.87598118 50.43032035 46.6925083 49.50041349 46.11764181 45.11396843 47.96086851 56.66158311 51.63179841 48.52784222 49.43903638 55.03888103 51.31418775 46.95079982 47.56474681 48.09615873 53.01933641 48.49599517 44.10244119 47.18498154 52.21363384 51.68117056 52.84278251 47.35843549 52.08126023 48.15449345 53.69581454 49.72700013 51.97456542 51.59718351 51.27615603 54.54400005 53.8867512 53.18426631 51.99829126 50.92564784 41.88012218 50.64504154 49.49146923 44.96782188 50.02440722 48.51878486 53.06757484 50.53932292 5 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-7.402650FISHER 4th Cent. Mom.249.692594
FISHER beta 10.062598FISHER beta 22.728526
FISHER gamma 1-0.250195FISHER gamma 2-0.271474
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.118907FISHER Test 2-0.607034
FISHER Test 1 Probability0.262800FISHER Test 2 Probability0.541800
Pearson 20.025968
Yule using Quartile definition:
Weighted Average at Xnp
0.033344
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.045102
Yule using Quartile definition:
Empirical Distribution Function
0.033344
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.045407
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.045717
Yule using Quartile definition:
Closest Observation
0.033344
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.045717
Yule using Quartile definition:
MS Excel (old versions)
0.044800
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.253373Kurtosis (small sample)-0.231418
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.147117TEST 1 (small sample)-0.527953
TEST 1 Prob. (small sample)0.250200TEST 1 Prob. (small sample)0.596200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.2534000.250200Trim. Kurtosis (0/120)-0.2314000.596200
Trim. Skewness (1/120)-0.2498000.258400Trim. Kurtosis (1/120)-0.3971000.368200
Trim. Skewness (2/120)-0.2437000.275800Trim. Kurtosis (2/120)-0.5882000.183600
Trim. Skewness (3/120)-0.2288000.307800Trim. Kurtosis (3/120)-0.6519000.144200
Trim. Skewness (4/120)-0.2194000.332000Trim. Kurtosis (4/120)-0.6675000.138800
Trim. Skewness (5/120)-0.2064000.368200Trim. Kurtosis (5/120)-0.7018000.123600
Trim. Skewness (6/120)-0.2044000.378800Trim. Kurtosis (6/120)-0.7157000.118800
Trim. Skewness (7/120)-0.1898000.418000Trim. Kurtosis (7/120)-0.7372000.111800
Trim. Skewness (8/120)-0.1724000.465400Trim. Kurtosis (8/120)-0.7740000.099000
Trim. Skewness (9/120)-0.1695000.477600Trim. Kurtosis (9/120)-0.7780000.099000
Trim. Skewness (10/120)-0.1627000.496400Trim. Kurtosis (10/120)-0.7808000.101000
Trim. Skewness (11/120)-0.1505000.535200Trim. Kurtosis (11/120)-0.7900000.101000
Trim. Skewness (12/120)-0.1318000.589200Trim. Kurtosis (12/120)-0.8158000.093000
Trim. Skewness (13/120)-0.1054000.667200Trim. Kurtosis (13/120)-0.8419000.087200
Trim. Skewness (14/120)-0.0862000.726400Trim. Kurtosis (14/120)-0.8534000.085400
Trim. Skewness (15/120)-0.0607000.810400Trim. Kurtosis (15/120)-0.8720000.081800
Trim. Skewness (16/120)-0.0365000.880800Trim. Kurtosis (16/120)-0.8907000.078400
Trim. Skewness (17/120)-0.0301000.904400Trim. Kurtosis (17/120)-0.8872000.083600
Trim. Skewness (18/120)-0.0209000.936200Trim. Kurtosis (18/120)-0.8973000.083600
Trim. Skewness (19/120)-0.0213000.928200Trim. Kurtosis (19/120)-0.9023000.085400
Trim. Skewness (20/120)-0.0197000.936200Trim. Kurtosis (20/120)-0.9125000.085400
Trim. Skewness (21/120)-0.0205000.936200Trim. Kurtosis (21/120)-0.9422000.078400
Trim. Skewness (22/120)-0.0329000.904400Trim. Kurtosis (22/120)-0.9858000.070200
Trim. Skewness (23/120)-0.0347000.896600Trim. Kurtosis (23/120)-1.0354000.060200
Trim. Skewness (24/120)-0.0271000.920400Trim. Kurtosis (24/120)-1.0368000.062800
Trim. Skewness (25/120)-0.0132000.960200Trim. Kurtosis (25/120)-1.0529000.062800
Trim. Skewness (26/120)0.0125000.960200Trim. Kurtosis (26/120)-1.0933000.056200
Trim. Skewness (27/120)0.0301000.912400Trim. Kurtosis (27/120)-1.1192000.053600
Trim. Skewness (28/120)0.0369000.896600Trim. Kurtosis (28/120)-1.1445000.052400
Trim. Skewness (29/120)0.0529000.857200Trim. Kurtosis (29/120)-1.1710000.050000
Trim. Skewness (30/120)0.0782000.794800Trim. Kurtosis (30/120)-1.1912000.050000
Trim. Skewness (31/120)0.1109000.718800Trim. Kurtosis (31/120)-1.2278000.046600
Trim. Skewness (32/120)0.1066000.733800Trim. Kurtosis (32/120)-1.2265000.050000
Trim. Skewness (33/120)0.1002000.756600Trim. Kurtosis (33/120)-1.2415000.051200
Trim. Skewness (34/120)0.0971000.764200Trim. Kurtosis (34/120)-1.2610000.052400
Trim. Skewness (35/120)0.0987000.764200Trim. Kurtosis (35/120)-1.2606000.056200
Trim. Skewness (36/120)0.0993000.771800Trim. Kurtosis (36/120)-1.2650000.060200
Trim. Skewness (37/120)0.1032000.764200Trim. Kurtosis (37/120)-1.2910000.060200
Trim. Skewness (38/120)0.1231000.726400Trim. Kurtosis (38/120)-1.3047000.062800
Trim. Skewness (39/120)0.1116000.756600Trim. Kurtosis (39/120)-1.2943000.070200
Trim. Skewness (40/120)0.1197000.741400Trim. Kurtosis (40/120)-1.2497000.087200
 
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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