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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 22:43:49 +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/t1291156914tc8rzwn9crei36t.htm/, Retrieved Tue, 30 Nov 2010 23:41:54 +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/t1291156914tc8rzwn9crei36t.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 «
0,000949857 0,003304586 -0,005849568 0,000340194 0,006988637 -0,005859036 -0,002959429 0,005723023 0,007496037 0,007786372 0,004020198 0,001664743 0,005494311 -0,003377156 -0,001349887 0,001016285 -0,00499283 0,000822095 -0,002068743 0,000944119 0,002092279 -0,003008185 -0,00188721 0,00176024 -0,002596908 -0,000291084 -0,002399994 0,000506741 -0,005961139 -0,000926634 -0,041879961 0,00224475 -0,005497067 -0,001320681 -0,004629816 0,002795147 0,002463298 -0,008851837 -0,00282843 0,00415793 -0,000688862 -0,001076482 0,004607617 -0,003785634 -0,005878375 -0,005975913 -0,001479393 -0,002701236 -0,014891357 -0,007785257 -0,003424982 0 0,001860052 -0,001001271 -0,001701131 -0,001080233 -0,011643043 -0,000644652 0,00538926 0,00020311 -0,007147203 -0,007438579 -0,004673645 0,008635927 -0,006278423 0,003345817 -0,005809469 0,007368399 0,003590793 0,006046307 0,011936092 0,008431778 -0,001694645 -0,004333109 0,004750729 -0,004517339 0,012202298 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000001FISHER 4th Cent. Mom.0.000000
FISHER beta 12.266606FISHER beta 210.317578
FISHER gamma 1-1.505525FISHER gamma 27.317578
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 1-6.704801FISHER Test 216.294282
FISHER Test 1 Probability0.000000FISHER Test 2 Probability0.000000
Pearson 2-0.140834
Yule using Quartile definition:
Weighted Average at Xnp
-0.032081
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.009076
Yule using Quartile definition:
Empirical Distribution Function
0.009076
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.009076
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.004819
Yule using Quartile definition:
Closest Observation
-0.042034
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.009076
Yule using Quartile definition:
MS Excel (old versions)
0.009076
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-1.524813Kurtosis (small sample)7.686775
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)-6.875274TEST 1 (small sample)17.466091
TEST 1 Prob. (small sample)0.000000TEST 1 Prob. (small sample)0.000000
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)-1.5248000.000000Trim. Kurtosis (0/119)7.6868000.000000
Trim. Skewness (1/119)-0.5256000.018200Trim. Kurtosis (1/119)0.6581000.136200
Trim. Skewness (2/119)-0.3659000.103200Trim. Kurtosis (2/119)0.0878000.841400
Trim. Skewness (3/119)-0.2942000.193600Trim. Kurtosis (3/119)-0.2003000.652800
Trim. Skewness (4/119)-0.2366000.298400Trim. Kurtosis (4/119)-0.3359000.459200
Trim. Skewness (5/119)-0.1392000.541800Trim. Kurtosis (5/119)-0.5704000.211200
Trim. Skewness (6/119)-0.1003000.667200Trim. Kurtosis (6/119)-0.6200000.180200
Trim. Skewness (7/119)-0.0545000.810400Trim. Kurtosis (7/119)-0.6914000.138800
Trim. Skewness (8/119)0.0092000.968000Trim. Kurtosis (8/119)-0.8173000.081800
Trim. Skewness (9/119)0.0134000.952200Trim. Kurtosis (9/119)-0.8272000.081800
Trim. Skewness (10/119)0.0242000.920400Trim. Kurtosis (10/119)-0.8377000.080200
Trim. Skewness (11/119)0.0275000.904400Trim. Kurtosis (11/119)-0.8467000.080200
Trim. Skewness (12/119)0.0217000.928200Trim. Kurtosis (12/119)-0.8470000.083600
Trim. Skewness (13/119)0.0120000.960200Trim. Kurtosis (13/119)-0.8442000.087200
Trim. Skewness (14/119)0.0013000.992000Trim. Kurtosis (14/119)-0.8544000.087200
Trim. Skewness (15/119)-0.0113000.960200Trim. Kurtosis (15/119)-0.8783000.081800
Trim. Skewness (16/119)-0.0210000.928200Trim. Kurtosis (16/119)-0.9002000.076800
Trim. Skewness (17/119)-0.0271000.912400Trim. Kurtosis (17/119)-0.9068000.078400
Trim. Skewness (18/119)-0.0346000.888600Trim. Kurtosis (18/119)-0.8908000.087200
Trim. Skewness (19/119)-0.0355000.888600Trim. Kurtosis (19/119)-0.8708000.099000
Trim. Skewness (20/119)-0.0437000.865000Trim. Kurtosis (20/119)-0.8468000.111800
Trim. Skewness (21/119)-0.0524000.841400Trim. Kurtosis (21/119)-0.8304000.123600
Trim. Skewness (22/119)-0.0621000.818000Trim. Kurtosis (22/119)-0.8209000.133600
Trim. Skewness (23/119)-0.0707000.794800Trim. Kurtosis (23/119)-0.8276000.133600
Trim. Skewness (24/119)-0.0635000.818000Trim. Kurtosis (24/119)-0.8417000.133600
Trim. Skewness (25/119)-0.0413000.880800Trim. Kurtosis (25/119)-0.8767000.123600
Trim. Skewness (26/119)-0.0218000.936200Trim. Kurtosis (26/119)-0.9163000.111800
Trim. Skewness (27/119)-0.0031000.984000Trim. Kurtosis (27/119)-0.9140000.118800
Trim. Skewness (28/119)0.0068000.976000Trim. Kurtosis (28/119)-0.9037000.128600
Trim. Skewness (29/119)0.0222000.936200Trim. Kurtosis (29/119)-0.9138000.128600
Trim. Skewness (30/119)0.0360000.904400Trim. Kurtosis (30/119)-0.9584000.116400
Trim. Skewness (31/119)0.0708000.818000Trim. Kurtosis (31/119)-0.9933000.109600
Trim. Skewness (32/119)0.0754000.810400Trim. Kurtosis (32/119)-1.0131000.109600
Trim. Skewness (33/119)0.0968000.764200Trim. Kurtosis (33/119)-1.0448000.103200
Trim. Skewness (34/119)0.0937000.771800Trim. Kurtosis (34/119)-1.0780000.099000
Trim. Skewness (35/119)0.1307000.696600Trim. Kurtosis (35/119)-1.0841000.103200
Trim. Skewness (36/119)0.1486000.667200Trim. Kurtosis (36/119)-1.0620000.118800
Trim. Skewness (37/119)0.1707000.624200Trim. Kurtosis (37/119)-1.0583000.126000
Trim. Skewness (38/119)0.2063000.562000Trim. Kurtosis (38/119)-1.0403000.141600
Trim. Skewness (39/119)0.2493000.496400Trim. Kurtosis (39/119)-1.0213000.158600
Trim. Skewness (40/119)0.3056000.418000Trim. Kurtosis (40/119)-1.0094000.170600
 
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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