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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 14:50:15 +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/t12911285010hdc8mhalz8qjjb.htm/, Retrieved Tue, 30 Nov 2010 15:48:21 +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/t12911285010hdc8mhalz8qjjb.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 «
50.34945439 54.99508055 54.14752798 53.14449438 50.7417477 51.05481298 44.95926712 54.24231413 47.15453029 53.17036238 51.98845354 50.35038931 47.72500239 54.29908454 51.7616041 45.42891816 51.19703893 51.25358303 51.95197866 50.55992823 42.450015 48.34724749 49.38174237 53.60239008 52.07744649 48.26866982 45.85518522 46.68725417 51.08467156 54.86581847 52.07523536 47.30181207 51.16871794 49.86244459 46.43075784 48.96585742 51.15268044 56.92110321 47.47522106 49.60731548 46.4147769 49.4859079 49.38340847 50.75234211 46.08841131 47.27244614 50.69121246 47.07137205 50.74489643 49.5353195 52.05628877 49.5960701 51.12621515 52.46998609 51.54168213 49.52130341 48.96434033 51.75417102 55.94625952 53.57030174 53.65628616 47.40418012 50.66239198 46.57914989 51.86150723 54.20476726 49.2601001 52.30366953 49.61402045 53.0556523 50.6621663 55.0751826 52.7959368 48.44251699 52.81324424 48.90854102 47.37316203 55.91623164 43.65285969 49.0674587 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.617791FISHER 4th Cent. Mom.188.654965
FISHER beta 10.004535FISHER beta 22.721606
FISHER gamma 1-0.067343FISHER gamma 2-0.278394
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.301165FISHER Test 2-0.622509
FISHER Test 1 Probability0.756600FISHER Test 2 Probability0.528600
Pearson 2-0.083336
Yule using Quartile definition:
Weighted Average at Xnp
-0.073763
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.030430
Yule using Quartile definition:
Empirical Distribution Function
-0.073763
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.043587
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.057123
Yule using Quartile definition:
Closest Observation
-0.073763
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.057123
Yule using Quartile definition:
MS Excel (old versions)
-0.017634
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.068198Kurtosis (small sample)-0.238635
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.308758TEST 1 (small sample)-0.544419
TEST 1 Prob. (small sample)0.756600TEST 1 Prob. (small sample)0.582400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.0682000.756600Trim. Kurtosis (0/120)-0.2386000.582400
Trim. Skewness (1/120)-0.0152000.944200Trim. Kurtosis (1/120)-0.4658000.289200
Trim. Skewness (2/120)0.0169000.936200Trim. Kurtosis (2/120)-0.5595000.207600
Trim. Skewness (3/120)0.0462000.833600Trim. Kurtosis (3/120)-0.6549000.144200
Trim. Skewness (4/120)0.0482000.825800Trim. Kurtosis (4/120)-0.7300000.105200
Trim. Skewness (5/120)0.0755000.741400Trim. Kurtosis (5/120)-0.7662000.093000
Trim. Skewness (6/120)0.0882000.704000Trim. Kurtosis (6/120)-0.7884000.087200
Trim. Skewness (7/120)0.0947000.681800Trim. Kurtosis (7/120)-0.8115000.080200
Trim. Skewness (8/120)0.0993000.674400Trim. Kurtosis (8/120)-0.8374000.073400
Trim. Skewness (9/120)0.0942000.689200Trim. Kurtosis (9/120)-0.8717000.065800
Trim. Skewness (10/120)0.0985000.681800Trim. Kurtosis (10/120)-0.8633000.070200
Trim. Skewness (11/120)0.1049000.660000Trim. Kurtosis (11/120)-0.8612000.073400
Trim. Skewness (12/120)0.1060000.660000Trim. Kurtosis (12/120)-0.8628000.076800
Trim. Skewness (13/120)0.1025000.674400Trim. Kurtosis (13/120)-0.8725000.075000
Trim. Skewness (14/120)0.0926000.711400Trim. Kurtosis (14/120)-0.8870000.073400
Trim. Skewness (15/120)0.0905000.718800Trim. Kurtosis (15/120)-0.8813000.078400
Trim. Skewness (16/120)0.0916000.718800Trim. Kurtosis (16/120)-0.8675000.087200
Trim. Skewness (17/120)0.0883000.733800Trim. Kurtosis (17/120)-0.8597000.093000
Trim. Skewness (18/120)0.0793000.756600Trim. Kurtosis (18/120)-0.8547000.099000
Trim. Skewness (19/120)0.0671000.794800Trim. Kurtosis (19/120)-0.8629000.099000
Trim. Skewness (20/120)0.0578000.825800Trim. Kurtosis (20/120)-0.8680000.101000
Trim. Skewness (21/120)0.0614000.818000Trim. Kurtosis (21/120)-0.8627000.107400
Trim. Skewness (22/120)0.0599000.825800Trim. Kurtosis (22/120)-0.8718000.107400
Trim. Skewness (23/120)0.0440000.872800Trim. Kurtosis (23/120)-0.8876000.107400
Trim. Skewness (24/120)0.0289000.912400Trim. Kurtosis (24/120)-0.9207000.099000
Trim. Skewness (25/120)0.0294000.912400Trim. Kurtosis (25/120)-0.9432000.095000
Trim. Skewness (26/120)0.0269000.920400Trim. Kurtosis (26/120)-1.0006000.080200
Trim. Skewness (27/120)0.0274000.920400Trim. Kurtosis (27/120)-1.0123000.081800
Trim. Skewness (28/120)0.0072000.976000Trim. Kurtosis (28/120)-1.0062000.087200
Trim. Skewness (29/120)-0.0043000.984000Trim. Kurtosis (29/120)-0.9853000.099000
Trim. Skewness (30/120)-0.0220000.936200Trim. Kurtosis (30/120)-0.9731000.109600
Trim. Skewness (31/120)-0.0206000.944200Trim. Kurtosis (31/120)-0.9426000.126000
Trim. Skewness (32/120)-0.0219000.944200Trim. Kurtosis (32/120)-0.9243000.138800
Trim. Skewness (33/120)-0.0292000.928200Trim. Kurtosis (33/120)-0.9200000.149800
Trim. Skewness (34/120)-0.0478000.880800Trim. Kurtosis (34/120)-0.9082000.161600
Trim. Skewness (35/120)-0.0693000.833600Trim. Kurtosis (35/120)-0.9293000.158600
Trim. Skewness (36/120)-0.0830000.802600Trim. Kurtosis (36/120)-0.9855000.141600
Trim. Skewness (37/120)-0.1084000.756600Trim. Kurtosis (37/120)-1.0406000.128600
Trim. Skewness (38/120)-0.1909000.589200Trim. Kurtosis (38/120)-1.1344000.105200
Trim. Skewness (39/120)-0.2490000.490200Trim. Kurtosis (39/120)-1.1853000.097000
Trim. Skewness (40/120)-0.2405000.515600Trim. Kurtosis (40/120)-1.1997000.101000
 
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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