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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 14:47:24 +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/t1291128332pi1o2ixnuis047m.htm/, Retrieved Tue, 30 Nov 2010 15:45:32 +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/t1291128332pi1o2ixnuis047m.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 «
53.28421928 53.57070788 53.15634144 52.50000307 54.5393573 52.19554934 44.82215756 56.32501051 49.68200774 49.00237257 52.77454385 48.83008284 46.76075243 48.51100595 51.89394866 48.30820099 49.52905452 53.42231699 50.08896123 50.15880586 48.06601084 50.71109668 48.68257935 50.50983021 47.49243064 44.10600719 51.98615963 44.76280138 52.09642638 47.14128884 51.41940071 46.22833028 52.74818726 48.40644302 47.72814495 51.54251554 41.98063772 48.79972509 49.62305038 52.16928923 52.66987049 51.2499753 50.03606875 52.01398676 49.57874227 46.55951792 51.87590829 48.77628949 49.70543669 49.56285722 55.65310458 44.806693 47.75821996 53.74111388 55.42717369 56.55036344 43.58663634 48.61313878 47.13161109 55.84727755 51.13288047 54.49743136 49.23787662 48.69663938 55.71988667 55.43779037 48.59843389 51.70599444 45.46701032 51.13161864 48.85655287 52.78746621 48.29631252 43.15300237 45.90034803 50.67949929 49.38807955 54.44388843 52.40409141 5 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-6.108170FISHER 4th Cent. Mom.256.700389
FISHER beta 10.035693FISHER beta 22.492296
FISHER gamma 1-0.188926FISHER gamma 2-0.507704
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.844901FISHER Test 2-1.135261
FISHER Test 1 Probability0.395400FISHER Test 2 Probability0.254200
Pearson 20.073121
Yule using Quartile definition:
Weighted Average at Xnp
0.110190
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.115965
Yule using Quartile definition:
Empirical Distribution Function
0.110190
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.115119
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.114268
Yule using Quartile definition:
Closest Observation
0.110190
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.114268
Yule using Quartile definition:
MS Excel (old versions)
0.116807
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.191326Kurtosis (small sample)-0.477795
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.866203TEST 1 (small sample)-1.090033
TEST 1 Prob. (small sample)0.384400TEST 1 Prob. (small sample)0.271400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1913000.384400Trim. Kurtosis (0/120)-0.4778000.271400
Trim. Skewness (1/120)-0.1446000.515600Trim. Kurtosis (1/120)-0.6152000.161600
Trim. Skewness (2/120)-0.1290000.562000Trim. Kurtosis (2/120)-0.6738000.128600
Trim. Skewness (3/120)-0.1102000.624200Trim. Kurtosis (3/120)-0.7111000.111800
Trim. Skewness (4/120)-0.1015000.652800Trim. Kurtosis (4/120)-0.7300000.105200
Trim. Skewness (5/120)-0.0985000.667200Trim. Kurtosis (5/120)-0.7471000.101000
Trim. Skewness (6/120)-0.0995000.667200Trim. Kurtosis (6/120)-0.7511000.103200
Trim. Skewness (7/120)-0.1013000.660000Trim. Kurtosis (7/120)-0.7698000.097000
Trim. Skewness (8/120)-0.0976000.674400Trim. Kurtosis (8/120)-0.8039000.085400
Trim. Skewness (9/120)-0.0825000.726400Trim. Kurtosis (9/120)-0.8199000.081800
Trim. Skewness (10/120)-0.0632000.787200Trim. Kurtosis (10/120)-0.8488000.075000
Trim. Skewness (11/120)-0.0493000.833600Trim. Kurtosis (11/120)-0.8632000.073400
Trim. Skewness (12/120)-0.0358000.880800Trim. Kurtosis (12/120)-0.8909000.067200
Trim. Skewness (13/120)-0.0330000.888600Trim. Kurtosis (13/120)-0.9116000.062800
Trim. Skewness (14/120)-0.0300000.904400Trim. Kurtosis (14/120)-0.9514000.054800
Trim. Skewness (15/120)-0.0286000.904400Trim. Kurtosis (15/120)-1.0202000.042400
Trim. Skewness (16/120)-0.0310000.896600Trim. Kurtosis (16/120)-1.0972000.030800
Trim. Skewness (17/120)-0.0251000.920400Trim. Kurtosis (17/120)-1.1297000.027800
Trim. Skewness (18/120)-0.0150000.952200Trim. Kurtosis (18/120)-1.1806000.022600
Trim. Skewness (19/120)-0.0031000.984000Trim. Kurtosis (19/120)-1.2291000.019200
Trim. Skewness (20/120)0.0082000.968000Trim. Kurtosis (20/120)-1.2720000.016400
Trim. Skewness (21/120)0.0188000.944200Trim. Kurtosis (21/120)-1.3093000.014600
Trim. Skewness (22/120)0.0392000.880800Trim. Kurtosis (22/120)-1.3616000.012400
Trim. Skewness (23/120)0.0560000.833600Trim. Kurtosis (23/120)-1.3815000.012000
Trim. Skewness (24/120)0.0768000.779400Trim. Kurtosis (24/120)-1.4117000.011400
Trim. Skewness (25/120)0.0905000.749000Trim. Kurtosis (25/120)-1.4281000.011400
Trim. Skewness (26/120)0.1062000.711400Trim. Kurtosis (26/120)-1.4560000.011000
Trim. Skewness (27/120)0.1067000.711400Trim. Kurtosis (27/120)-1.4695000.011400
Trim. Skewness (28/120)0.1036000.726400Trim. Kurtosis (28/120)-1.4778000.012000
Trim. Skewness (29/120)0.1046000.726400Trim. Kurtosis (29/120)-1.4741000.013800
Trim. Skewness (30/120)0.1083000.718800Trim. Kurtosis (30/120)-1.4703000.015600
Trim. Skewness (31/120)0.1131000.711400Trim. Kurtosis (31/120)-1.4702000.017400
Trim. Skewness (32/120)0.1140000.718800Trim. Kurtosis (32/120)-1.4682000.019200
Trim. Skewness (33/120)0.1214000.704000Trim. Kurtosis (33/120)-1.4524000.022600
Trim. Skewness (34/120)0.1288000.696600Trim. Kurtosis (34/120)-1.4350000.027200
Trim. Skewness (35/120)0.1377000.681800Trim. Kurtosis (35/120)-1.4206000.031600
Trim. Skewness (36/120)0.1457000.667200Trim. Kurtosis (36/120)-1.3985000.037600
Trim. Skewness (37/120)0.1571000.652800Trim. Kurtosis (37/120)-1.3746000.045600
Trim. Skewness (38/120)0.1671000.638400Trim. Kurtosis (38/120)-1.3445000.054800
Trim. Skewness (39/120)0.1797000.617000Trim. Kurtosis (39/120)-1.3138000.065800
Trim. Skewness (40/120)0.1922000.603000Trim. Kurtosis (40/120)-1.2699000.081800
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





Copyright

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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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