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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 22:49:35 +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/t12911572599mcoao4d51y11gi.htm/, Retrieved Tue, 30 Nov 2010 23:47:39 +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/t12911572599mcoao4d51y11gi.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 «
0,00189925 0,005336537 -0,001562774 0,01061948 -0,003476829 -0,000410875 -0,006418772 0,004358548 -0,000723394 0,002063651 0,003179405 0,003257733 0,01710355 0,008401289 -0,021768298 0,008661289 -0,018937917 -0,00082448 -0,00165367 0,000103539 0,000517325 -0,001450066 -0,010713491 0,011646232 -0,000310691 -0,001348903 -0,004806966 0,004910876 -0,001769871 0,006933956 0,004290877 -0,007692275 -0,011640607 0,003177004 -0,004347753 -0,001494624 -0,008640812 -0,003725051 -0,007323484 0,002009592 0,010563548 -0,030507111 0,00034972 -0,004333027 -0,016308943 -0,000366751 0,011942192 0,001899596 -0,012132926 0,002550751 0,003137456 0 0,00857188 0,001412341 -0,008423952 0,007718355 -0,016186761 0,011096158 0,002730301 -0,002135295 -0,011569017 -0,010757452 -0,010773945 0,016494975 -0,01151843 -0,005233296 0,008897184 0,001507096 0,007827576 -0,000492816 0,019406978 -0,00557632 0,002619108 -0,003336161 0,010516691 -0,001403214 0,023259121 0,0 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.127010FISHER beta 23.582339
FISHER gamma 1-0.356385FISHER gamma 20.582339
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 1-1.587148FISHER Test 21.296713
FISHER Test 1 Probability0.111800FISHER Test 2 Probability0.193600
Pearson 2-0.045569
Yule using Quartile definition:
Weighted Average at Xnp
-0.081821
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.034922
Yule using Quartile definition:
Empirical Distribution Function
-0.034922
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.034922
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.037263
Yule using Quartile definition:
Closest Observation
-0.089485
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.034922
Yule using Quartile definition:
MS Excel (old versions)
-0.034922
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.360951Kurtosis (small sample)0.659735
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)-1.627502TEST 1 (small sample)1.499067
TEST 1 Prob. (small sample)0.103200TEST 1 Prob. (small sample)0.133600
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)-0.3610000.103200Trim. Kurtosis (0/119)0.6597000.133600
Trim. Skewness (1/119)-0.3109000.161600Trim. Kurtosis (1/119)0.3903000.378800
Trim. Skewness (2/119)-0.3085000.170600Trim. Kurtosis (2/119)0.3447000.435400
Trim. Skewness (3/119)-0.2850000.207600Trim. Kurtosis (3/119)0.2536000.568600
Trim. Skewness (4/119)-0.2618000.250200Trim. Kurtosis (4/119)0.0896000.841400
Trim. Skewness (5/119)-0.2025000.378800Trim. Kurtosis (5/119)-0.1153000.794800
Trim. Skewness (6/119)-0.1324000.568600Trim. Kurtosis (6/119)-0.3971000.389800
Trim. Skewness (7/119)-0.0606000.794800Trim. Kurtosis (7/119)-0.5384000.246000
Trim. Skewness (8/119)-0.0187000.936200Trim. Kurtosis (8/119)-0.5899000.207600
Trim. Skewness (9/119)0.0415000.857200Trim. Kurtosis (9/119)-0.6797000.152800
Trim. Skewness (10/119)0.0448000.849200Trim. Kurtosis (10/119)-0.6551000.170600
Trim. Skewness (11/119)0.0477000.841400Trim. Kurtosis (11/119)-0.6347000.190200
Trim. Skewness (12/119)0.0462000.849200Trim. Kurtosis (12/119)-0.6111000.211200
Trim. Skewness (13/119)0.0427000.857200Trim. Kurtosis (13/119)-0.5994000.222400
Trim. Skewness (14/119)0.0476000.849200Trim. Kurtosis (14/119)-0.5893000.238000
Trim. Skewness (15/119)0.0478000.849200Trim. Kurtosis (15/119)-0.5630000.262800
Trim. Skewness (16/119)0.0485000.849200Trim. Kurtosis (16/119)-0.5517000.280200
Trim. Skewness (17/119)0.0489000.849200Trim. Kurtosis (17/119)-0.5667000.271400
Trim. Skewness (18/119)0.0655000.802600Trim. Kurtosis (18/119)-0.5682000.275800
Trim. Skewness (19/119)0.0908000.733800Trim. Kurtosis (19/119)-0.5676000.280200
Trim. Skewness (20/119)0.0853000.749000Trim. Kurtosis (20/119)-0.5285000.322200
Trim. Skewness (21/119)0.0838000.756600Trim. Kurtosis (21/119)-0.4948000.357600
Trim. Skewness (22/119)0.0752000.779400Trim. Kurtosis (22/119)-0.4750000.384400
Trim. Skewness (23/119)0.0483000.857200Trim. Kurtosis (23/119)-0.4731000.389800
Trim. Skewness (24/119)0.0132000.960200Trim. Kurtosis (24/119)-0.5099000.362800
Trim. Skewness (25/119)-0.0175000.944200Trim. Kurtosis (25/119)-0.5517000.332000
Trim. Skewness (26/119)-0.0757000.794800Trim. Kurtosis (26/119)-0.6526000.258400
Trim. Skewness (27/119)-0.1222000.674400Trim. Kurtosis (27/119)-0.7418000.204000
Trim. Skewness (28/119)-0.1497000.617000Trim. Kurtosis (28/119)-0.8380000.158600
Trim. Skewness (29/119)-0.1530000.617000Trim. Kurtosis (29/119)-0.8889000.138800
Trim. Skewness (30/119)-0.1473000.631200Trim. Kurtosis (30/119)-0.9412000.123600
Trim. Skewness (31/119)-0.1389000.660000Trim. Kurtosis (31/119)-0.9488000.126000
Trim. Skewness (32/119)-0.1289000.681800Trim. Kurtosis (32/119)-0.9830000.118800
Trim. Skewness (33/119)-0.1105000.733800Trim. Kurtosis (33/119)-1.0355000.107400
Trim. Skewness (34/119)-0.0896000.787200Trim. Kurtosis (34/119)-1.0579000.105200
Trim. Skewness (35/119)-0.0687000.833600Trim. Kurtosis (35/119)-1.0343000.121200
Trim. Skewness (36/119)-0.0316000.920400Trim. Kurtosis (36/119)-1.0336000.128600
Trim. Skewness (37/119)0.0210000.952200Trim. Kurtosis (37/119)-1.0762000.121200
Trim. Skewness (38/119)0.0418000.904400Trim. Kurtosis (38/119)-1.0786000.126000
Trim. Skewness (39/119)0.0676000.849200Trim. Kurtosis (39/119)-1.1231000.118800
Trim. Skewness (40/119)0.1271000.733800Trim. Kurtosis (40/119)-1.1687000.114200
 
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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