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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: Mon, 29 Nov 2010 18:08:22 +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/29/t1291054014qb9vhk52ngjv8fz.htm/, Retrieved Mon, 29 Nov 2010 19:06:54 +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/29/t1291054014qb9vhk52ngjv8fz.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 «
869.3080763 892.3205838 1013.734217 922.5018378 807.25649 863.0848369 872.6526882 978.4872958 874.7310076 909.7524062 827.5434739 898.3045939 884.3093764 841.9694881 832.5346341 769.9294238 1071.854666 862.3262471 1002.320941 853.4123898 985.2673759 891.3056852 886.711029 870.1251364 943.5508241 973.8444679 1041.60386 898.1246077 1023.188701 851.7557758 883.7301665 760.7382396 925.6459567 891.0866999 903.8970235 1070.571208 963.8287333 940.8216798 1045.956965 790.5845752 877.3013885 946.6817747 988.9693198 738.0871931 947.3505508 955.5499368 1006.275061 929.1738637 871.5089587 925.260203 791.6209195 988.9085046 947.0193862 856.3355333 894.1451381 765.1221986 798.0802913 1073.176229 896.4863864 996.3594837 1010.448614 744.4004166 885.1848154 991.8621553 993.6892078 880.0831577 873.7424108 848.4050466 914.8429177 1003.813651 923.8274796 911.9935987 832.2864621 739.7648629 1083.718098 794.4821783 912.6164303 976.1822674 703.3323256 81 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-38868.096420FISHER 4th Cent. Mom.1.24213e+8
FISHER beta 10.004293FISHER beta 22.491859
FISHER gamma 1-0.065518FISHER gamma 2-0.508141
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.293006FISHER Test 2-1.136239
FISHER Test 1 Probability0.764200FISHER Test 2 Probability0.254200
Pearson 20.154223
Yule using Quartile definition:
Weighted Average at Xnp
0.155481
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.164046
Yule using Quartile definition:
Empirical Distribution Function
0.155481
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.166313
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.168603
Yule using Quartile definition:
Closest Observation
0.155481
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.168603
Yule using Quartile definition:
MS Excel (old versions)
0.161802
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.066350Kurtosis (small sample)-0.478251
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.300393TEST 1 (small sample)-1.091073
TEST 1 Prob. (small sample)0.756600TEST 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)-0.0664000.756600Trim. Kurtosis (0/120)-0.4783000.271400
Trim. Skewness (1/120)-0.0494000.818000Trim. Kurtosis (1/120)-0.5638000.200600
Trim. Skewness (2/120)-0.0601000.787200Trim. Kurtosis (2/120)-0.5776000.193600
Trim. Skewness (3/120)-0.0734000.741400Trim. Kurtosis (3/120)-0.6109000.173800
Trim. Skewness (4/120)-0.0904000.689200Trim. Kurtosis (4/120)-0.6724000.136200
Trim. Skewness (5/120)-0.1052000.645600Trim. Kurtosis (5/120)-0.7412000.103200
Trim. Skewness (6/120)-0.1189000.603000Trim. Kurtosis (6/120)-0.7577000.099000
Trim. Skewness (7/120)-0.1314000.575400Trim. Kurtosis (7/120)-0.7815000.093000
Trim. Skewness (8/120)-0.1278000.589200Trim. Kurtosis (8/120)-0.7902000.091000
Trim. Skewness (9/120)-0.1219000.610000Trim. Kurtosis (9/120)-0.8024000.089200
Trim. Skewness (10/120)-0.1036000.667200Trim. Kurtosis (10/120)-0.8143000.087200
Trim. Skewness (11/120)-0.0812000.733800Trim. Kurtosis (11/120)-0.8447000.080200
Trim. Skewness (12/120)-0.0675000.779400Trim. Kurtosis (12/120)-0.8552000.078400
Trim. Skewness (13/120)-0.0597000.810400Trim. Kurtosis (13/120)-0.8474000.083600
Trim. Skewness (14/120)-0.0474000.849200Trim. Kurtosis (14/120)-0.8453000.089200
Trim. Skewness (15/120)-0.0335000.888600Trim. Kurtosis (15/120)-0.8487000.091000
Trim. Skewness (16/120)-0.0063000.976000Trim. Kurtosis (16/120)-0.8591000.089200
Trim. Skewness (17/120)0.0207000.936200Trim. Kurtosis (17/120)-0.8769000.087200
Trim. Skewness (18/120)0.0517000.841400Trim. Kurtosis (18/120)-0.8991000.081800
Trim. Skewness (19/120)0.0799000.756600Trim. Kurtosis (19/120)-0.9174000.080200
Trim. Skewness (20/120)0.1128000.674400Trim. Kurtosis (20/120)-0.9400000.076800
Trim. Skewness (21/120)0.1280000.631200Trim. Kurtosis (21/120)-0.9462000.078400
Trim. Skewness (22/120)0.1440000.596200Trim. Kurtosis (22/120)-0.9737000.073400
Trim. Skewness (23/120)0.1536000.575400Trim. Kurtosis (23/120)-0.9868000.073400
Trim. Skewness (24/120)0.1615000.562000Trim. Kurtosis (24/120)-0.9880000.076800
Trim. Skewness (25/120)0.1779000.528600Trim. Kurtosis (25/120)-0.9975000.076800
Trim. Skewness (26/120)0.2054000.477600Trim. Kurtosis (26/120)-1.0258000.073400
Trim. Skewness (27/120)0.2135000.465400Trim. Kurtosis (27/120)-1.0289000.076800
Trim. Skewness (28/120)0.2337000.429600Trim. Kurtosis (28/120)-1.0321000.080200
Trim. Skewness (29/120)0.2428000.423800Trim. Kurtosis (29/120)-1.0147000.089200
Trim. Skewness (30/120)0.2543000.406600Trim. Kurtosis (30/120)-0.9909000.103200
Trim. Skewness (31/120)0.2638000.395400Trim. Kurtosis (31/120)-0.9720000.114200
Trim. Skewness (32/120)0.2723000.389800Trim. Kurtosis (32/120)-0.9629000.123600
Trim. Skewness (33/120)0.2919000.368200Trim. Kurtosis (33/120)-0.9556000.133600
Trim. Skewness (34/120)0.3009000.357600Trim. Kurtosis (34/120)-0.9626000.136200
Trim. Skewness (35/120)0.3090000.357600Trim. Kurtosis (35/120)-0.9510000.149800
Trim. Skewness (36/120)0.3047000.373400Trim. Kurtosis (36/120)-0.9540000.155600
Trim. Skewness (37/120)0.3190000.357600Trim. Kurtosis (37/120)-0.9346000.173800
Trim. Skewness (38/120)0.3286000.357600Trim. Kurtosis (38/120)-0.8955000.200600
Trim. Skewness (39/120)0.3122000.389800Trim. Kurtosis (39/120)-0.8754000.218600
Trim. Skewness (40/120)0.2685000.471600Trim. Kurtosis (40/120)-0.9228000.207600
 
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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