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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: Wed, 01 Dec 2010 14:03:23 +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/Dec/01/t1291212086bmu5lvn54qx4vpd.htm/, Retrieved Wed, 01 Dec 2010 15:01:26 +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/Dec/01/t1291212086bmu5lvn54qx4vpd.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 «
-0.002429471 0.001464831 -0.00604306 -0.00530621 0.001822958 -0.003923884 -0.005729562 0.006468883 0.003875003 0.010488228 -0.001376529 0.002255223 0.006006897 -0.002292155 -0.001867057 -0.003482931 -0.005653765 -0.006138391 -0.006815174 0.002878836 0.005278171 -0.000423289 -0.001102486 0.003130521 -2.81024E-05 0.004598562 -0.004696935 -0.007942903 0.021052951 -0.015308156 -0.008199456 -0.002150227 -0.006985495 -0.000986113 -0.004487762 -0.002044445 -0.001123312 -0.011534453 -0.000616458 0.0069611 0.004304093 -0.002668045 0.006810837 0.00327715 -0.002786229 -0.008664704 -0.005525683 0.001763028 -0.012069252 0.002525294 -0.011810608 -0.00333944 -0.003185827 -0.000636712 -0.00431827 0.003042039 -0.00870571 -0.005281366 0.003589579 -0.006220492 -0.006570078 -0.006600797 -0.009976467 -0.001961757 0.001782148 0.006596554 -0.013313095 0.008366149 0.016022388 -0.004159443 0.005966746 -0.000825263 -0.003941558 -0.004363402 0.007081376 -0.00864 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 10.126027FISHER beta 25.182284
FISHER gamma 1-0.355002FISHER gamma 22.182284
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-3.237472FISHER Test 29.950752
FISHER Test 1 Probability0.001200FISHER Test 2 Probability0.000000
Pearson 20.071902
Yule using Quartile definition:
Weighted Average at Xnp
0.043976
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.045975
Yule using Quartile definition:
Empirical Distribution Function
0.045975
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.045975
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.048323
Yule using Quartile definition:
Closest Observation
0.043433
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.045975
Yule using Quartile definition:
MS Excel (old versions)
0.045975
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.356074Kurtosis (small sample)2.216430
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-3.256975TEST 1 (small sample)10.156756
TEST 1 Prob. (small sample)0.001200TEST 1 Prob. (small sample)0.000000
Observations499



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)-0.3561000.001200Trim. Kurtosis (0/499)2.2164000.000000
Trim. Skewness (1/499)-0.2247000.039400Trim. Kurtosis (1/499)1.2689000.000000
Trim. Skewness (2/499)-0.1164000.284600Trim. Kurtosis (2/499)0.8127000.000200
Trim. Skewness (3/499)-0.0235000.825800Trim. Kurtosis (3/499)0.4098000.061400
Trim. Skewness (4/499)0.0121000.912400Trim. Kurtosis (4/499)0.2554000.242000
Trim. Skewness (5/499)0.0334000.756600Trim. Kurtosis (5/499)0.1379000.528600
Trim. Skewness (6/499)0.0485000.660000Trim. Kurtosis (6/499)0.0424000.841400
Trim. Skewness (7/499)0.0689000.528600Trim. Kurtosis (7/499)-0.0618000.779400
Trim. Skewness (8/499)0.0881000.423800Trim. Kurtosis (8/499)-0.1628000.459200
Trim. Skewness (9/499)0.0903000.412200Trim. Kurtosis (9/499)-0.2256000.307800
Trim. Skewness (10/499)0.0914000.412200Trim. Kurtosis (10/499)-0.2888000.193600
Trim. Skewness (11/499)0.0952000.389800Trim. Kurtosis (11/499)-0.3374000.128600
Trim. Skewness (12/499)0.1022000.357600Trim. Kurtosis (12/499)-0.3817000.087200
Trim. Skewness (13/499)0.1080000.332000Trim. Kurtosis (13/499)-0.4270000.056200
Trim. Skewness (14/499)0.1108000.322200Trim. Kurtosis (14/499)-0.4686000.036600
Trim. Skewness (15/499)0.1129000.312400Trim. Kurtosis (15/499)-0.5024000.025000
Trim. Skewness (16/499)0.1110000.322200Trim. Kurtosis (16/499)-0.5225000.020400
Trim. Skewness (17/499)0.1089000.332000Trim. Kurtosis (17/499)-0.5409000.016400
Trim. Skewness (18/499)0.1067000.342200Trim. Kurtosis (18/499)-0.5609000.013200
Trim. Skewness (19/499)0.1079000.342200Trim. Kurtosis (19/499)-0.5749000.011000
Trim. Skewness (20/499)0.1090000.337000Trim. Kurtosis (20/499)-0.5906000.009400
Trim. Skewness (21/499)0.1092000.337000Trim. Kurtosis (21/499)-0.6074000.007600
Trim. Skewness (22/499)0.1105000.332000Trim. Kurtosis (22/499)-0.6223000.006400
Trim. Skewness (23/499)0.1118000.327000Trim. Kurtosis (23/499)-0.6370000.005200
Trim. Skewness (24/499)0.1120000.327000Trim. Kurtosis (24/499)-0.6519000.004400
Trim. Skewness (25/499)0.1120000.327000Trim. Kurtosis (25/499)-0.6678000.003600
Trim. Skewness (26/499)0.1116000.332000Trim. Kurtosis (26/499)-0.6795000.003200
Trim. Skewness (27/499)0.1112000.332000Trim. Kurtosis (27/499)-0.6907000.002600
Trim. Skewness (28/499)0.1110000.337000Trim. Kurtosis (28/499)-0.6980000.002600
Trim. Skewness (29/499)0.1108000.337000Trim. Kurtosis (29/499)-0.7066000.002200
Trim. Skewness (30/499)0.1105000.342200Trim. Kurtosis (30/499)-0.7164000.002000
Trim. Skewness (31/499)0.1096000.347200Trim. Kurtosis (31/499)-0.7273000.001800
Trim. Skewness (32/499)0.1088000.352400Trim. Kurtosis (32/499)-0.7399000.001600
Trim. Skewness (33/499)0.1074000.357600Trim. Kurtosis (33/499)-0.7531000.001200
Trim. Skewness (34/499)0.1071000.357600Trim. Kurtosis (34/499)-0.7658000.001000
Trim. Skewness (35/499)0.1059000.368200Trim. Kurtosis (35/499)-0.7766000.001000
Trim. Skewness (36/499)0.1052000.368200Trim. Kurtosis (36/499)-0.7878000.000800
Trim. Skewness (37/499)0.1038000.378800Trim. Kurtosis (37/499)-0.7998000.000600
Trim. Skewness (38/499)0.1025000.384400Trim. Kurtosis (38/499)-0.8132000.000600
Trim. Skewness (39/499)0.1013000.389800Trim. Kurtosis (39/499)-0.8207000.000600
Trim. Skewness (40/499)0.1002000.395400Trim. Kurtosis (40/499)-0.8292000.000400
 
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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