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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 14:42:15 +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/t1291128022b2zb5xg0zjzkdx7.htm/, Retrieved Tue, 30 Nov 2010 15:40:22 +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/t1291128022b2zb5xg0zjzkdx7.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 «
50.9248375 52.13227114 51.41197732 51.39312117 49.77663032 56.4851557 49.99795502 46.44558665 46.76313657 52.71263247 52.08771433 41.67690754 53.43509309 52.24491072 49.64122928 43.14869916 47.6250632 45.96005746 53.01993428 50.62575331 48.59447492 54.02004303 45.97832286 49.66589745 46.99884036 48.9272793 50.27554304 49.61093479 52.36327315 47.18678719 47.50412457 52.83729135 54.38686996 48.81115344 48.2797547 46.25938326 45.09584621 47.81429003 49.93332983 54.20924006 51.48283734 52.61402891 51.32876358 54.4923995 50.10997773 54.65045665 48.44165672 50.44756731 53.00604256 47.67790192 51.78067707 50.48120772 50.53513021 49.84334562 51.73345226 47.14761359 45.56923869 49.23588056 46.78423285 57.89539933 44.72546801 48.55595779 53.47986176 47.97929425 53.37549125 47.83409022 45.332551 47.21551461 48.32840915 47.81885979 47.26750447 51.3556951 54.59904055 51.62144235 50.36316467 49.86454841 48.3564624 52.4472312 55.04952636 48.07212 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.950390FISHER 4th Cent. Mom.219.190395
FISHER beta 10.001413FISHER beta 22.953263
FISHER gamma 1-0.037585FISHER gamma 2-0.046737
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.168084FISHER Test 2-0.104507
FISHER Test 1 Probability0.865000FISHER Test 2 Probability0.912400
Pearson 2-0.072342
Yule using Quartile definition:
Weighted Average at Xnp
-0.023247
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.012984
Yule using Quartile definition:
Empirical Distribution Function
-0.023247
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.014863
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.016758
Yule using Quartile definition:
Closest Observation
-0.023247
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.016758
Yule using Quartile definition:
MS Excel (old versions)
-0.011120
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.038062Kurtosis (small sample)0.002972
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.172322TEST 1 (small sample)0.006781
TEST 1 Prob. (small sample)0.857200TEST 1 Prob. (small sample)0.992000
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0381000.857200Trim. Kurtosis (0/120)0.0030000.992000
Trim. Skewness (1/120)-0.0529000.810400Trim. Kurtosis (1/120)-0.4082000.352400
Trim. Skewness (2/120)-0.0647000.771800Trim. Kurtosis (2/120)-0.5845000.186800
Trim. Skewness (3/120)-0.0139000.944200Trim. Kurtosis (3/120)-0.7118000.111800
Trim. Skewness (4/120)0.0221000.920400Trim. Kurtosis (4/120)-0.7752000.085400
Trim. Skewness (5/120)0.0316000.888600Trim. Kurtosis (5/120)-0.7951000.081800
Trim. Skewness (6/120)0.0356000.872800Trim. Kurtosis (6/120)-0.8227000.073400
Trim. Skewness (7/120)0.0368000.872800Trim. Kurtosis (7/120)-0.8557000.065800
Trim. Skewness (8/120)0.0323000.888600Trim. Kurtosis (8/120)-0.8898000.057400
Trim. Skewness (9/120)0.0277000.904400Trim. Kurtosis (9/120)-0.9240000.050000
Trim. Skewness (10/120)0.0288000.904400Trim. Kurtosis (10/120)-0.9656000.043400
Trim. Skewness (11/120)0.0500000.833600Trim. Kurtosis (11/120)-0.9963000.038400
Trim. Skewness (12/120)0.0587000.810400Trim. Kurtosis (12/120)-1.0097000.037600
Trim. Skewness (13/120)0.0705000.771800Trim. Kurtosis (13/120)-1.0369000.034800
Trim. Skewness (14/120)0.0714000.771800Trim. Kurtosis (14/120)-1.0601000.033200
Trim. Skewness (15/120)0.0640000.794800Trim. Kurtosis (15/120)-1.0882000.030000
Trim. Skewness (16/120)0.0706000.779400Trim. Kurtosis (16/120)-1.0998000.030000
Trim. Skewness (17/120)0.0655000.794800Trim. Kurtosis (17/120)-1.1067000.030800
Trim. Skewness (18/120)0.0591000.818000Trim. Kurtosis (18/120)-1.1249000.030000
Trim. Skewness (19/120)0.0589000.818000Trim. Kurtosis (19/120)-1.1482000.028600
Trim. Skewness (20/120)0.0533000.841400Trim. Kurtosis (20/120)-1.1605000.028600
Trim. Skewness (21/120)0.0438000.865000Trim. Kurtosis (21/120)-1.1680000.029200
Trim. Skewness (22/120)0.0399000.880800Trim. Kurtosis (22/120)-1.1692000.031600
Trim. Skewness (23/120)0.0383000.888600Trim. Kurtosis (23/120)-1.1729000.033200
Trim. Skewness (24/120)0.0391000.888600Trim. Kurtosis (24/120)-1.1766000.034800
Trim. Skewness (25/120)0.0351000.896600Trim. Kurtosis (25/120)-1.1858000.035800
Trim. Skewness (26/120)0.0305000.912400Trim. Kurtosis (26/120)-1.1881000.038400
Trim. Skewness (27/120)0.0245000.928200Trim. Kurtosis (27/120)-1.1975000.039400
Trim. Skewness (28/120)0.0152000.952200Trim. Kurtosis (28/120)-1.2003000.041400
Trim. Skewness (29/120)0.0158000.952200Trim. Kurtosis (29/120)-1.1880000.046600
Trim. Skewness (30/120)0.0079000.976000Trim. Kurtosis (30/120)-1.1726000.053600
Trim. Skewness (31/120)0.0003000.992000Trim. Kurtosis (31/120)-1.1605000.060200
Trim. Skewness (32/120)-0.0093000.976000Trim. Kurtosis (32/120)-1.1632000.062800
Trim. Skewness (33/120)-0.0117000.968000Trim. Kurtosis (33/120)-1.1715000.065800
Trim. Skewness (34/120)-0.0152000.960200Trim. Kurtosis (34/120)-1.1554000.075000
Trim. Skewness (35/120)-0.0221000.944200Trim. Kurtosis (35/120)-1.1288000.087200
Trim. Skewness (36/120)-0.0356000.912400Trim. Kurtosis (36/120)-1.1057000.101000
Trim. Skewness (37/120)-0.0599000.857200Trim. Kurtosis (37/120)-1.0812000.114200
Trim. Skewness (38/120)-0.1018000.771800Trim. Kurtosis (38/120)-1.0616000.128600
Trim. Skewness (39/120)-0.1553000.667200Trim. Kurtosis (39/120)-1.0652000.136200
Trim. Skewness (40/120)-0.2208000.548400Trim. Kurtosis (40/120)-1.0794000.138800
 
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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