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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 18:40:29 +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/t12911423191k39i4ljroytthc.htm/, Retrieved Tue, 30 Nov 2010 19:38:39 +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/t12911423191k39i4ljroytthc.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 «
120,7090845 120,0371714 120,914272 120,3073777 117,8523502 118,6643531 122,8902955 119,6013724 120,3137233 121,9236932 121,8179131 118,5257601 117,8357839 123,6154994 119,6501089 117,1032405 117,2946984 120,0640609 120,8598071 121,0206455 120,1497246 122,5480613 122,4131711 119,572783 119,9009826 123,4065834 121,6609312 120,8742657 119,5589323 123,8964063 121,3769413 122,612392 121,0970631 123,7705903 119,6667895 120,1639846 116,119843 121,4673802 118,708755 118,6529205 117,2576977 120,7669748 121,619574 118,7973282 120,1173818 123,9607075 118,5324984 117,048465 118,8468916 119,8315617 121,3549205 120,3457012 121,4248549 121,8221383 123,3177746 119,6462643 119,7476466 122,5577744 117,5233671 119,2347034 118,3668925 120,609292 121,2875505 123,4222849 121,8697616 120,2604072 116,6845726 122,015934 122,0868952 119,4934431 121,3056887 123,9722115 116,9855328 116,5364041 118,3380374 121,418923 120,2938588 121,1046869 119,8307319 122,182 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.604462FISHER 4th Cent. Mom.47.482154
FISHER beta 10.005528FISHER beta 22.904613
FISHER gamma 1-0.074351FISHER gamma 2-0.095387
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.678730FISHER Test 2-0.435379
FISHER Test 1 Probability0.496400FISHER Test 2 Probability0.660000
Pearson 2-0.005341
Yule using Quartile definition:
Weighted Average at Xnp
-0.034251
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.027853
Yule using Quartile definition:
Empirical Distribution Function
-0.034251
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.029105
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.030363
Yule using Quartile definition:
Closest Observation
-0.034251
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.030363
Yule using Quartile definition:
MS Excel (old versions)
-0.026608
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.074575Kurtosis (small sample)-0.084251
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.682811TEST 1 (small sample)-0.386461
TEST 1 Prob. (small sample)0.490200TEST 1 Prob. (small sample)0.696600
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0746000.490200Trim. Kurtosis (0/500)-0.0843000.696600
Trim. Skewness (1/500)-0.1066000.327000Trim. Kurtosis (1/500)-0.2697000.215000
Trim. Skewness (2/500)-0.1019000.352400Trim. Kurtosis (2/500)-0.3586000.101000
Trim. Skewness (3/500)-0.0860000.429600Trim. Kurtosis (3/500)-0.4079000.061400
Trim. Skewness (4/500)-0.0680000.535200Trim. Kurtosis (4/500)-0.4622000.034800
Trim. Skewness (5/500)-0.0545000.617000Trim. Kurtosis (5/500)-0.4988000.023200
Trim. Skewness (6/500)-0.0452000.681800Trim. Kurtosis (6/500)-0.5208000.017800
Trim. Skewness (7/500)-0.0375000.733800Trim. Kurtosis (7/500)-0.5401000.014200
Trim. Skewness (8/500)-0.0297000.787200Trim. Kurtosis (8/500)-0.5612000.011000
Trim. Skewness (9/500)-0.0223000.833600Trim. Kurtosis (9/500)-0.5819000.008600
Trim. Skewness (10/500)-0.0155000.888600Trim. Kurtosis (10/500)-0.6027000.006800
Trim. Skewness (11/500)-0.0106000.920400Trim. Kurtosis (11/500)-0.6210000.005200
Trim. Skewness (12/500)-0.0063000.952200Trim. Kurtosis (12/500)-0.6390000.004200
Trim. Skewness (13/500)-0.0021000.984000Trim. Kurtosis (13/500)-0.6589000.003200
Trim. Skewness (14/500)0.0006000.992000Trim. Kurtosis (14/500)-0.6711000.002600
Trim. Skewness (15/500)0.0029000.976000Trim. Kurtosis (15/500)-0.6834000.002200
Trim. Skewness (16/500)0.0045000.968000Trim. Kurtosis (16/500)-0.6954000.002000
Trim. Skewness (17/500)0.0036000.968000Trim. Kurtosis (17/500)-0.7045000.001800
Trim. Skewness (18/500)0.0034000.968000Trim. Kurtosis (18/500)-0.7109000.001600
Trim. Skewness (19/500)0.0027000.976000Trim. Kurtosis (19/500)-0.7177000.001600
Trim. Skewness (20/500)0.0017000.984000Trim. Kurtosis (20/500)-0.7255000.001400
Trim. Skewness (21/500)0.0021000.984000Trim. Kurtosis (21/500)-0.7318000.001200
Trim. Skewness (22/500)0.0014000.984000Trim. Kurtosis (22/500)-0.7360000.001200
Trim. Skewness (23/500)0.0006000.992000Trim. Kurtosis (23/500)-0.7414000.001200
Trim. Skewness (24/500)0.0003000.992000Trim. Kurtosis (24/500)-0.7471000.001200
Trim. Skewness (25/500)-0.0011000.992000Trim. Kurtosis (25/500)-0.7516000.001000
Trim. Skewness (26/500)-0.0028000.976000Trim. Kurtosis (26/500)-0.7560000.001000
Trim. Skewness (27/500)-0.0039000.968000Trim. Kurtosis (27/500)-0.7595000.001000
Trim. Skewness (28/500)-0.0054000.960200Trim. Kurtosis (28/500)-0.7636000.001000
Trim. Skewness (29/500)-0.0064000.952200Trim. Kurtosis (29/500)-0.7671000.001000
Trim. Skewness (30/500)-0.0072000.944200Trim. Kurtosis (30/500)-0.7702000.001000
Trim. Skewness (31/500)-0.0084000.936200Trim. Kurtosis (31/500)-0.7737000.000800
Trim. Skewness (32/500)-0.0091000.936200Trim. Kurtosis (32/500)-0.7764000.000800
Trim. Skewness (33/500)-0.0097000.928200Trim. Kurtosis (33/500)-0.7799000.000800
Trim. Skewness (34/500)-0.0099000.928200Trim. Kurtosis (34/500)-0.7832000.000800
Trim. Skewness (35/500)-0.0095000.928200Trim. Kurtosis (35/500)-0.7859000.000800
Trim. Skewness (36/500)-0.0091000.936200Trim. Kurtosis (36/500)-0.7889000.000800
Trim. Skewness (37/500)-0.0090000.936200Trim. Kurtosis (37/500)-0.7924000.000800
Trim. Skewness (38/500)-0.0079000.944200Trim. Kurtosis (38/500)-0.7951000.000800
Trim. Skewness (39/500)-0.0065000.952200Trim. Kurtosis (39/500)-0.7977000.000800
Trim. Skewness (40/500)-0.0051000.960200Trim. Kurtosis (40/500)-0.8013000.000800
 
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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