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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: Mon, 29 Nov 2010 19:26:45 +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/29/t12910586919ez9vcs0b97rap2.htm/, Retrieved Mon, 29 Nov 2010 20:24:51 +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/29/t12910586919ez9vcs0b97rap2.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 «
1126.708145 1752.139171 2463.201907 1166.65812 1644.199757 1350.381909 2631.989507 1524.633064 2864.489598 2007.693964 1653.743909 1934.903572 1602.673709 1976.774793 1951.4209 1968.354326 1831.924432 1748.251489 2297.376813 1716.943623 1647.967532 1319.36087 1476.077782 1613.075763 1608.469379 1779.249968 1613.631188 1381.751402 1833.708747 1350.630426 1648.139816 1956.883832 1458.780542 1515.078729 1613.860705 1555.247891 1822.785228 893.0121685 1241.026285 1516.196544 1963.641946 2043.056619 1712.670122 2379.584228 1849.376127 1354.982009 2314.468872 2056.642527 1567.829733 1671.853222 1991.034286 1795.74802 1895.048004 1897.952967 2276.873723 1258.013727 1085.576084 957.0570444 1526.523646 2359.118297 2266.553358 1700.379732 2569.481298 1463.189391 1047.538261 1798.332319 2560.543832 2506.078616 2030.017985 692.8316671 1242.248737 1804.309091 881.086134 2186.040817 1875.655561 2498.184867 1804.110372 1530.344391 1156.988367 182 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-431126.978562FISHER 4th Cent. Mom.1.20535e+11
FISHER beta 10.000021FISHER beta 22.826910
FISHER gamma 1-0.004595FISHER gamma 2-0.173090
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.041944FISHER Test 2-0.790046
FISHER Test 1 Probability0.960200FISHER Test 2 Probability0.423800
Pearson 2-0.012632
Yule using Quartile definition:
Weighted Average at Xnp
-0.002883
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.000952
Yule using Quartile definition:
Empirical Distribution Function
-0.002883
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.001608
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.002268
Yule using Quartile definition:
Closest Observation
-0.002883
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.002268
Yule using Quartile definition:
MS Excel (old versions)
0.000298
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.004609Kurtosis (small sample)-0.162737
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.042196TEST 1 (small sample)-0.746480
TEST 1 Prob. (small sample)0.960200TEST 1 Prob. (small sample)0.453200
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.0046000.960200Trim. Kurtosis (0/500)-0.1627000.453200
Trim. Skewness (1/500)-0.0219000.841400Trim. Kurtosis (1/500)-0.2402000.271400
Trim. Skewness (2/500)-0.0286000.787200Trim. Kurtosis (2/500)-0.2888000.186800
Trim. Skewness (3/500)-0.0342000.749000Trim. Kurtosis (3/500)-0.3390000.121200
Trim. Skewness (4/500)-0.0362000.741400Trim. Kurtosis (4/500)-0.3856000.078400
Trim. Skewness (5/500)-0.0354000.741400Trim. Kurtosis (5/500)-0.4302000.050000
Trim. Skewness (6/500)-0.0383000.726400Trim. Kurtosis (6/500)-0.4709000.032400
Trim. Skewness (7/500)-0.0431000.696600Trim. Kurtosis (7/500)-0.5099000.020800
Trim. Skewness (8/500)-0.0513000.638400Trim. Kurtosis (8/500)-0.5477000.013200
Trim. Skewness (9/500)-0.0503000.645600Trim. Kurtosis (9/500)-0.5639000.010800
Trim. Skewness (10/500)-0.0495000.652800Trim. Kurtosis (10/500)-0.5753000.009600
Trim. Skewness (11/500)-0.0480000.660000Trim. Kurtosis (11/500)-0.5862000.008600
Trim. Skewness (12/500)-0.0459000.681800Trim. Kurtosis (12/500)-0.5954000.007600
Trim. Skewness (13/500)-0.0440000.689200Trim. Kurtosis (13/500)-0.6036000.007000
Trim. Skewness (14/500)-0.0428000.696600Trim. Kurtosis (14/500)-0.6117000.006400
Trim. Skewness (15/500)-0.0414000.711400Trim. Kurtosis (15/500)-0.6206000.005600
Trim. Skewness (16/500)-0.0393000.726400Trim. Kurtosis (16/500)-0.6286000.005200
Trim. Skewness (17/500)-0.0373000.741400Trim. Kurtosis (17/500)-0.6375000.004600
Trim. Skewness (18/500)-0.0350000.756600Trim. Kurtosis (18/500)-0.6476000.004200
Trim. Skewness (19/500)-0.0335000.764200Trim. Kurtosis (19/500)-0.6578000.003600
Trim. Skewness (20/500)-0.0317000.779400Trim. Kurtosis (20/500)-0.6694000.003200
Trim. Skewness (21/500)-0.0316000.779400Trim. Kurtosis (21/500)-0.6742000.003000
Trim. Skewness (22/500)-0.0320000.779400Trim. Kurtosis (22/500)-0.6784000.002800
Trim. Skewness (23/500)-0.0328000.771800Trim. Kurtosis (23/500)-0.6825000.002800
Trim. Skewness (24/500)-0.0333000.764200Trim. Kurtosis (24/500)-0.6873000.002600
Trim. Skewness (25/500)-0.0346000.756600Trim. Kurtosis (25/500)-0.6915000.002600
Trim. Skewness (26/500)-0.0357000.756600Trim. Kurtosis (26/500)-0.6964000.002400
Trim. Skewness (27/500)-0.0377000.741400Trim. Kurtosis (27/500)-0.7012000.002400
Trim. Skewness (28/500)-0.0395000.726400Trim. Kurtosis (28/500)-0.7066000.002200
Trim. Skewness (29/500)-0.0414000.718800Trim. Kurtosis (29/500)-0.7105000.002200
Trim. Skewness (30/500)-0.0437000.704000Trim. Kurtosis (30/500)-0.7148000.002000
Trim. Skewness (31/500)-0.0454000.696600Trim. Kurtosis (31/500)-0.7188000.002000
Trim. Skewness (32/500)-0.0469000.681800Trim. Kurtosis (32/500)-0.7228000.002000
Trim. Skewness (33/500)-0.0488000.674400Trim. Kurtosis (33/500)-0.7274000.001800
Trim. Skewness (34/500)-0.0514000.660000Trim. Kurtosis (34/500)-0.7306000.001800
Trim. Skewness (35/500)-0.0541000.645600Trim. Kurtosis (35/500)-0.7349000.001800
Trim. Skewness (36/500)-0.0566000.631200Trim. Kurtosis (36/500)-0.7399000.001600
Trim. Skewness (37/500)-0.0594000.610000Trim. Kurtosis (37/500)-0.7453000.001600
Trim. Skewness (38/500)-0.0622000.596200Trim. Kurtosis (38/500)-0.7508000.001400
Trim. Skewness (39/500)-0.0651000.582400Trim. Kurtosis (39/500)-0.7576000.001400
Trim. Skewness (40/500)-0.0679000.562000Trim. Kurtosis (40/500)-0.7646000.001200
 
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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