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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 14:19:35 +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/Dec/01/t1291213053rouu3rxcfqioyf0.htm/, Retrieved Wed, 01 Dec 2010 15:17:33 +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/t1291213053rouu3rxcfqioyf0.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 «
0.005959538 0.007481698 -0.000582164 0.015310269 -0.000421987 -0.003107161 -0.009891934 0.00303451 0.005437696 -0.003856612 0.005418058 -0.000141718 0.00716929 0.000696543 0.010995384 -0.001359295 -0.02378374 -0.000719626 -0.00696977 0.00014635 0.00116903 -0.004695121 0.004110999 0.010110405 -0.006327581 0.001446203 -0.012300464 -0.004178811 0.011542407 0.008101664 -0.001291903 -0.004334312 -0.010879984 0.006648625 0.003504749 0.009210036 -0.004149114 -0.003463982 -0.003345779 0.003200845 0.002601439 0.000144068 -0.00303552 0.00072467 -0.008333797 -0.006694173 0.002690064 -0.004492742 -0.007745972 -0.002150738 0.0010767 -0.004633342 -0.001555498 -0.000155857 -0.003443073 0.001881423 -0.006620952 -0.002868745 0.007451119 -0.000786623 -0.003478169 -0.000635398 -0.010946475 0.000977041 0.006137399 -0.000320868 -0.012867719 0.000330513 0.005091051 0.002604472 0.011214424 0.004405924 -0.007102921 -0.005444766 0.001769023 0.003993908 0.0011 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 10.004849FISHER beta 24.270153
FISHER gamma 1-0.069635FISHER gamma 21.270153
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 1-0.635038FISHER Test 25.791630
FISHER Test 1 Probability0.522200FISHER Test 2 Probability0.000000
Pearson 20.001766
Yule using Quartile definition:
Weighted Average at Xnp
0.028689
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.030494
Yule using Quartile definition:
Empirical Distribution Function
0.030494
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.030494
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.030275
Yule using Quartile definition:
Closest Observation
0.029253
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.030494
Yule using Quartile definition:
MS Excel (old versions)
0.030494
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.069845Kurtosis (small sample)1.295094
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)-0.638864TEST 1 (small sample)5.934747
TEST 1 Prob. (small sample)0.522200TEST 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)-0.0698000.522200Trim. Kurtosis (0/499)1.2951000.000000
Trim. Skewness (1/499)-0.0689000.528600Trim. Kurtosis (1/499)0.4576000.035800
Trim. Skewness (2/499)-0.0387000.718800Trim. Kurtosis (2/499)0.1934000.373400
Trim. Skewness (3/499)-0.0143000.888600Trim. Kurtosis (3/499)0.0545000.802600
Trim. Skewness (4/499)-0.0005000.992000Trim. Kurtosis (4/499)-0.0453000.833600
Trim. Skewness (5/499)-0.0017000.984000Trim. Kurtosis (5/499)-0.0968000.660000
Trim. Skewness (6/499)-0.0015000.984000Trim. Kurtosis (6/499)-0.1527000.484000
Trim. Skewness (7/499)-0.0013000.984000Trim. Kurtosis (7/499)-0.2146000.332000
Trim. Skewness (8/499)-0.0065000.952200Trim. Kurtosis (8/499)-0.2543000.250200
Trim. Skewness (9/499)-0.0130000.904400Trim. Kurtosis (9/499)-0.2821000.204000
Trim. Skewness (10/499)-0.0207000.849200Trim. Kurtosis (10/499)-0.3131000.158600
Trim. Skewness (11/499)-0.0245000.825800Trim. Kurtosis (11/499)-0.3390000.128600
Trim. Skewness (12/499)-0.0278000.802600Trim. Kurtosis (12/499)-0.3673000.099000
Trim. Skewness (13/499)-0.0328000.764200Trim. Kurtosis (13/499)-0.3965000.076800
Trim. Skewness (14/499)-0.0382000.733800Trim. Kurtosis (14/499)-0.4267000.056200
Trim. Skewness (15/499)-0.0445000.689200Trim. Kurtosis (15/499)-0.4603000.040400
Trim. Skewness (16/499)-0.0504000.652800Trim. Kurtosis (16/499)-0.4948000.027800
Trim. Skewness (17/499)-0.0547000.624200Trim. Kurtosis (17/499)-0.5213000.020800
Trim. Skewness (18/499)-0.0547000.624200Trim. Kurtosis (18/499)-0.5342000.018200
Trim. Skewness (19/499)-0.0544000.631200Trim. Kurtosis (19/499)-0.5485000.015600
Trim. Skewness (20/499)-0.0550000.624200Trim. Kurtosis (20/499)-0.5601000.013600
Trim. Skewness (21/499)-0.0557000.624200Trim. Kurtosis (21/499)-0.5726000.011800
Trim. Skewness (22/499)-0.0564000.617000Trim. Kurtosis (22/499)-0.5871000.009800
Trim. Skewness (23/499)-0.0587000.603000Trim. Kurtosis (23/499)-0.5996000.008800
Trim. Skewness (24/499)-0.0585000.610000Trim. Kurtosis (24/499)-0.6096000.007800
Trim. Skewness (25/499)-0.0593000.603000Trim. Kurtosis (25/499)-0.6197000.007000
Trim. Skewness (26/499)-0.0587000.610000Trim. Kurtosis (26/499)-0.6273000.006400
Trim. Skewness (27/499)-0.0583000.610000Trim. Kurtosis (27/499)-0.6365000.005800
Trim. Skewness (28/499)-0.0571000.617000Trim. Kurtosis (28/499)-0.6460000.005200
Trim. Skewness (29/499)-0.0554000.631200Trim. Kurtosis (29/499)-0.6564000.004600
Trim. Skewness (30/499)-0.0532000.645600Trim. Kurtosis (30/499)-0.6666000.004200
Trim. Skewness (31/499)-0.0513000.660000Trim. Kurtosis (31/499)-0.6778000.003600
Trim. Skewness (32/499)-0.0490000.674400Trim. Kurtosis (32/499)-0.6905000.003000
Trim. Skewness (33/499)-0.0475000.681800Trim. Kurtosis (33/499)-0.7026000.002600
Trim. Skewness (34/499)-0.0473000.681800Trim. Kurtosis (34/499)-0.7132000.002400
Trim. Skewness (35/499)-0.0476000.681800Trim. Kurtosis (35/499)-0.7249000.002000
Trim. Skewness (36/499)-0.0478000.681800Trim. Kurtosis (36/499)-0.7385000.001600
Trim. Skewness (37/499)-0.0450000.704000Trim. Kurtosis (37/499)-0.7457000.001600
Trim. Skewness (38/499)-0.0426000.718800Trim. Kurtosis (38/499)-0.7529000.001400
Trim. Skewness (39/499)-0.0408000.726400Trim. Kurtosis (39/499)-0.7599000.001400
Trim. Skewness (40/499)-0.0388000.741400Trim. Kurtosis (40/499)-0.7673000.001200
 
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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