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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 14:43:39 +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/t1291128099b9p7j5dpq3l4x61.htm/, Retrieved Tue, 30 Nov 2010 15:41:39 +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/t1291128099b9p7j5dpq3l4x61.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 «
48.73282959 50.55837682 49.19108491 47.39461569 50.61062867 52.61953811 50.26872116 49.85117777 48.20014078 46.4027671 50.57634598 49.60685004 50.61507058 48.61484677 51.18711054 55.34964424 46.47772691 52.10729526 51.64301378 51.2844679 49.39949093 49.34086741 51.4861243 46.41296646 52.09414172 51.67070861 48.72334943 47.83052106 48.69708511 48.91032917 48.00472608 51.03457779 49.82445299 52.14659325 44.08927887 45.89785215 49.94977214 48.57846053 56.22609768 47.80156413 49.1372617 51.97375483 45.39033265 48.8200031 49.82660057 49.1894294 48.46934113 49.4384873 52.05421156 55.14344939 51.20776533 43.28408163 48.71021712 54.19182134 42.49164395 44.56440635 47.52907429 45.3793611 49.68269263 46.86631648 51.71526881 48.23724514 48.90028889 51.45535624 43.84922159 51.86277034 51.02778074 43.32547771 55.77848798 48.81369219 43.86742163 47.26150739 46.42937529 51.23444347 51.62674304 51.21284251 50.22792984 51.66127173 51.37382865 45.87 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.141589FISHER 4th Cent. Mom.233.274040
FISHER beta 10.000029FISHER beta 23.000604
FISHER gamma 1-0.005408FISHER gamma 20.000604
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.024185FISHER Test 20.001350
FISHER Test 1 Probability0.976000FISHER Test 2 Probability0.992000
Pearson 20.125434
Yule using Quartile definition:
Weighted Average at Xnp
0.072546
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.088252
Yule using Quartile definition:
Empirical Distribution Function
0.072546
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.099828
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.111707
Yule using Quartile definition:
Closest Observation
0.072546
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.111707
Yule using Quartile definition:
MS Excel (old versions)
0.076966
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.005477Kurtosis (small sample)0.052346
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.024795TEST 1 (small sample)0.119422
TEST 1 Prob. (small sample)0.976000TEST 1 Prob. (small sample)0.904400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0055000.976000Trim. Kurtosis (0/120)0.0523000.904400
Trim. Skewness (1/120)-0.0460000.833600Trim. Kurtosis (1/120)-0.1278000.771800
Trim. Skewness (2/120)-0.0637000.771800Trim. Kurtosis (2/120)-0.1757000.689200
Trim. Skewness (3/120)-0.0800000.718800Trim. Kurtosis (3/120)-0.2672000.548400
Trim. Skewness (4/120)-0.1018000.652800Trim. Kurtosis (4/120)-0.3291000.465400
Trim. Skewness (5/120)-0.1057000.645600Trim. Kurtosis (5/120)-0.4060000.373400
Trim. Skewness (6/120)-0.1106000.631200Trim. Kurtosis (6/120)-0.5040000.271400
Trim. Skewness (7/120)-0.0983000.674400Trim. Kurtosis (7/120)-0.6290000.173800
Trim. Skewness (8/120)-0.0922000.696600Trim. Kurtosis (8/120)-0.7517000.107400
Trim. Skewness (9/120)-0.1104000.638400Trim. Kurtosis (9/120)-0.8001000.091000
Trim. Skewness (10/120)-0.1077000.652800Trim. Kurtosis (10/120)-0.8413000.078400
Trim. Skewness (11/120)-0.1213000.617000Trim. Kurtosis (11/120)-0.8541000.076800
Trim. Skewness (12/120)-0.1247000.610000Trim. Kurtosis (12/120)-0.8680000.075000
Trim. Skewness (13/120)-0.1185000.631200Trim. Kurtosis (13/120)-0.8884000.070200
Trim. Skewness (14/120)-0.1096000.660000Trim. Kurtosis (14/120)-0.9301000.061400
Trim. Skewness (15/120)-0.1217000.631200Trim. Kurtosis (15/120)-0.9409000.060200
Trim. Skewness (16/120)-0.1275000.617000Trim. Kurtosis (16/120)-0.9577000.058800
Trim. Skewness (17/120)-0.1277000.617000Trim. Kurtosis (17/120)-0.9874000.053600
Trim. Skewness (18/120)-0.1150000.660000Trim. Kurtosis (18/120)-1.0313000.046600
Trim. Skewness (19/120)-0.0849000.749000Trim. Kurtosis (19/120)-1.0863000.038400
Trim. Skewness (20/120)-0.0578000.825800Trim. Kurtosis (20/120)-1.1082000.036600
Trim. Skewness (21/120)-0.0279000.912400Trim. Kurtosis (21/120)-1.1359000.034000
Trim. Skewness (22/120)-0.0122000.960200Trim. Kurtosis (22/120)-1.1408000.035800
Trim. Skewness (23/120)0.0109000.968000Trim. Kurtosis (23/120)-1.1601000.034800
Trim. Skewness (24/120)0.0363000.896600Trim. Kurtosis (24/120)-1.1780000.034800
Trim. Skewness (25/120)0.0636000.818000Trim. Kurtosis (25/120)-1.1868000.035800
Trim. Skewness (26/120)0.0939000.741400Trim. Kurtosis (26/120)-1.1977000.036600
Trim. Skewness (27/120)0.1327000.652800Trim. Kurtosis (27/120)-1.2133000.036600
Trim. Skewness (28/120)0.1661000.575400Trim. Kurtosis (28/120)-1.2186000.038400
Trim. Skewness (29/120)0.1990000.509200Trim. Kurtosis (29/120)-1.2180000.041400
Trim. Skewness (30/120)0.2386000.435400Trim. Kurtosis (30/120)-1.2295000.042400
Trim. Skewness (31/120)0.2679000.389800Trim. Kurtosis (31/120)-1.2291000.046600
Trim. Skewness (32/120)0.2821000.373400Trim. Kurtosis (32/120)-1.2168000.052400
Trim. Skewness (33/120)0.3074000.342200Trim. Kurtosis (33/120)-1.1889000.061400
Trim. Skewness (34/120)0.3377000.303000Trim. Kurtosis (34/120)-1.1650000.071800
Trim. Skewness (35/120)0.3647000.275800Trim. Kurtosis (35/120)-1.1389000.083600
Trim. Skewness (36/120)0.3868000.258400Trim. Kurtosis (36/120)-1.0911000.105200
Trim. Skewness (37/120)0.4118000.238000Trim. Kurtosis (37/120)-1.0396000.128600
Trim. Skewness (38/120)0.4350000.222400Trim. Kurtosis (38/120)-0.9692000.164600
Trim. Skewness (39/120)0.4616000.204000Trim. Kurtosis (39/120)-0.8815000.215000
Trim. Skewness (40/120)0.4791000.197000Trim. Kurtosis (40/120)-0.7790000.284600
 
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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