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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 22:38:03 +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/t1291156571v8vhun7lg2y9qr5.htm/, Retrieved Tue, 30 Nov 2010 23:36:11 +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/t1291156571v8vhun7lg2y9qr5.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 «
-0,054611601 0,057831786 0,005957405 -0,020512983 0,011928644 -0,016582058 0,016949588 -0,066903067 0,093448102 -0,02450691 0,00437009 -0,041052328 0,022919681 -0,00640448 0,012629533 -0,015689095 -0,0529577 0,044567321 0,044151025 -0,015844613 -0,038433529 0,043955462 -0,028094757 0,0055446 -0,028251183 0,039363124 -0,010609882 -0,030469037 0,024972923 0,007892936 -0,03835567 0,044309919 0,005951763 0,023460247 -0,07435845 0,05067777 -0,033444522 0,025361622 -0,030741735 -0,009556061 0,026576008 0,072401665 -0,040371452 -0,026926272 0,008079016 0,046599599 -0,030432137 -0,038594464 0,005642194 0,004825203 0,042323896 -0,038728412 -0,041243246 0,02934116 0,04398013 -0,004451578 0,009653336 -0,047588331 0,041284138 -0,034044666 0,047303616 -0,033348174 0,019198606 -0,003164871 -0,002710535 0,026831524 -0,005264983 -0,005698829 -0,0097941 -0,00905251 -0,084928623 0,082528992 -0,010006585 -0,041628495 0,046280099 -0,013272035 0,038919326 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.000010FISHER 4th Cent. Mom.0.000005
FISHER beta 10.031235FISHER beta 22.530064
FISHER gamma 10.176734FISHER gamma 2-0.469936
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 10.787079FISHER Test 2-1.046420
FISHER Test 1 Probability0.429600FISHER Test 2 Probability0.293800
Pearson 20.206076
Yule using Quartile definition:
Weighted Average at Xnp
0.044292
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.047659
Yule using Quartile definition:
Empirical Distribution Function
0.047659
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.047659
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.045993
Yule using Quartile definition:
Closest Observation
0.043391
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.047659
Yule using Quartile definition:
MS Excel (old versions)
0.047659
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.178998Kurtosis (small sample)-0.438129
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)0.807091TEST 1 (small sample)-0.995528
TEST 1 Prob. (small sample)0.418000TEST 1 Prob. (small sample)0.317400
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)0.1790000.418000Trim. Kurtosis (0/119)-0.4381000.317400
Trim. Skewness (1/119)0.1710000.441200Trim. Kurtosis (1/119)-0.5778000.190200
Trim. Skewness (2/119)0.1464000.515600Trim. Kurtosis (2/119)-0.6798000.128600
Trim. Skewness (3/119)0.1323000.555200Trim. Kurtosis (3/119)-0.7987000.075000
Trim. Skewness (4/119)0.1058000.638400Trim. Kurtosis (4/119)-0.9010000.046600
Trim. Skewness (5/119)0.0924000.689200Trim. Kurtosis (5/119)-1.0012000.028600
Trim. Skewness (6/119)0.1075000.638400Trim. Kurtosis (6/119)-1.0232000.027200
Trim. Skewness (7/119)0.1168000.617000Trim. Kurtosis (7/119)-1.0281000.027800
Trim. Skewness (8/119)0.1254000.596200Trim. Kurtosis (8/119)-1.0377000.027200
Trim. Skewness (9/119)0.1416000.555200Trim. Kurtosis (9/119)-1.0372000.029200
Trim. Skewness (10/119)0.1625000.502800Trim. Kurtosis (10/119)-1.0288000.031600
Trim. Skewness (11/119)0.1771000.465400Trim. Kurtosis (11/119)-1.0122000.036600
Trim. Skewness (12/119)0.1956000.423800Trim. Kurtosis (12/119)-0.9979000.041400
Trim. Skewness (13/119)0.2122000.395400Trim. Kurtosis (13/119)-0.9810000.046600
Trim. Skewness (14/119)0.2163000.389800Trim. Kurtosis (14/119)-0.9509000.056200
Trim. Skewness (15/119)0.2224000.378800Trim. Kurtosis (15/119)-0.9164000.068800
Trim. Skewness (16/119)0.2280000.373400Trim. Kurtosis (16/119)-0.8813000.083600
Trim. Skewness (17/119)0.2332000.368200Trim. Kurtosis (17/119)-0.8472000.101000
Trim. Skewness (18/119)0.2362000.368200Trim. Kurtosis (18/119)-0.8141000.118800
Trim. Skewness (19/119)0.2329000.378800Trim. Kurtosis (19/119)-0.7811000.138800
Trim. Skewness (20/119)0.2261000.400800Trim. Kurtosis (20/119)-0.7559000.155600
Trim. Skewness (21/119)0.2171000.423800Trim. Kurtosis (21/119)-0.7380000.170600
Trim. Skewness (22/119)0.2083000.447200Trim. Kurtosis (22/119)-0.7281000.183600
Trim. Skewness (23/119)0.1972000.477600Trim. Kurtosis (23/119)-0.7289000.186800
Trim. Skewness (24/119)0.1648000.562000Trim. Kurtosis (24/119)-0.7318000.190200
Trim. Skewness (25/119)0.1222000.667200Trim. Kurtosis (25/119)-0.7531000.183600
Trim. Skewness (26/119)0.0627000.825800Trim. Kurtosis (26/119)-0.8230000.152800
Trim. Skewness (27/119)0.0403000.888600Trim. Kurtosis (27/119)-0.8293000.155600
Trim. Skewness (28/119)0.0236000.936200Trim. Kurtosis (28/119)-0.7910000.183600
Trim. Skewness (29/119)0.0163000.952200Trim. Kurtosis (29/119)-0.7374000.218600
Trim. Skewness (30/119)0.0092000.976000Trim. Kurtosis (30/119)-0.6892000.258400
Trim. Skewness (31/119)0.0008000.992000Trim. Kurtosis (31/119)-0.6592000.289200
Trim. Skewness (32/119)0.0041000.984000Trim. Kurtosis (32/119)-0.6493000.303000
Trim. Skewness (33/119)-0.0169000.952200Trim. Kurtosis (33/119)-0.6504000.312400
Trim. Skewness (34/119)-0.0243000.936200Trim. Kurtosis (34/119)-0.6909000.289200
Trim. Skewness (35/119)-0.0491000.880800Trim. Kurtosis (35/119)-0.8167000.218600
Trim. Skewness (36/119)-0.0525000.872800Trim. Kurtosis (36/119)-0.8689000.200600
Trim. Skewness (37/119)-0.0430000.896600Trim. Kurtosis (37/119)-0.8959000.197000
Trim. Skewness (38/119)-0.0508000.880800Trim. Kurtosis (38/119)-0.9322000.186800
Trim. Skewness (39/119)-0.0147000.968000Trim. Kurtosis (39/119)-0.9545000.186800
Trim. Skewness (40/119)0.0740000.841400Trim. Kurtosis (40/119)-1.0824000.141600
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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Creative Commons License

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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