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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, 24 Nov 2010 16:04:29 +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/24/t1290614687r8gne0oi5tya52j.htm/, Retrieved Wed, 24 Nov 2010 17:04:47 +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/24/t1290614687r8gne0oi5tya52j.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 «
83,5 1,817 82,68 1,4 82,4 1,7324337 82,782566 1,59 81,384 1,9552 79,67 1,33 80,43 1,83 82,83 1,84 84,11 1,98 82 1,32 81,95 1,39 77,35 1,34 83 2,08 81,8 1,9 82,2 2,88 83,98 1,35 85,81 1,32 82,36 1,13 82,3 1,65 77,238835 2,171569 81,9 1,7 82,035 2 82,66 1,9 79,6 1,27 81,75 1,35 78,2 1,24 81,415 1,31 84,1 1,38 82,94 1,85 84,04 1,43 74 2,18 81,345 1,84 80,7 2,1 43,452 7,151 79,574 1,78 73,412 2,4116 43,958 5,8 78,868 2,2732 77,28 2,3348 64,576 2,9056 75,5 1,287 57,354 5,5052 67,04 2,3368 67,358 3,5916 77,28 1,18 50,036 2,9528 75,84 2,265 76,3 1,37 53,46 6,0754 50,492 6,8 61,402 3,2674 50,732 4,4346 45,822 4,654 51,988 6,2644 76,38 2,425 56,118 4,5502 47,46 6,3 81,104 2,1354 48,998 4,5832 79,37 1,38 80,138 1,518 75,2 2,4 77,856 2,6258 73,312 2,9476 74,684 2,723 52,356 5,414 59,768 5,1436 78,14 1,55 70,892 2,7976 57,212 3,1232 60,134 4,7934 74,686 1,4212 60,138 3,9466 73,516 4,2416 57,154 5,5176 47,778 7,0752 62,204 3,8 73,472 3,3053333 8 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1451.827930FISHER 4th Cent. Mom.56280.302299
FISHER beta 10.505612FISHER beta 22.172774
FISHER gamma 1-0.711064FISHER gamma 2-0.827226
FISHER gamma 1 (S.E.)0.206284FISHER gamma 2 (S.E.)0.412568
FISHER Test 1-3.447011FISHER Test 2-2.005063
FISHER Test 1 Probability0.000600FISHER Test 2 Probability0.044400
Pearson 2-1.100185
Yule using Quartile definition:
Weighted Average at Xnp
-0.435828
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.416125
Yule using Quartile definition:
Empirical Distribution Function
-0.429472
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.429472
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.429472
Yule using Quartile definition:
Closest Observation
-0.436238
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.416125
Yule using Quartile definition:
MS Excel (old versions)
-0.416125
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.718733Kurtosis (small sample)-0.813536
Skewness S.E. (small sample)0.204134Kurtosis S.E. (small sample)0.405545
TEST 1 (small sample)-3.520880TEST 1 (small sample)-2.006034
TEST 1 Prob. (small sample)0.000400TEST 1 Prob. (small sample)0.044400
Observations141



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/141)-0.7187000.000400Trim. Kurtosis (0/141)-0.8135000.044400
Trim. Skewness (1/141)-0.7231000.000400Trim. Kurtosis (1/141)-0.8094000.046600
Trim. Skewness (2/141)-0.7261000.000400Trim. Kurtosis (2/141)-0.8090000.048800
Trim. Skewness (3/141)-0.7276000.000400Trim. Kurtosis (3/141)-0.8040000.051200
Trim. Skewness (4/141)-0.7274000.000600Trim. Kurtosis (4/141)-0.8048000.053600
Trim. Skewness (5/141)-0.7272000.000600Trim. Kurtosis (5/141)-0.8068000.053600
Trim. Skewness (6/141)-0.7265000.000600Trim. Kurtosis (6/141)-0.8110000.054800
Trim. Skewness (7/141)-0.7224000.000800Trim. Kurtosis (7/141)-0.8241000.052400
Trim. Skewness (8/141)-0.7238000.000800Trim. Kurtosis (8/141)-0.8165000.057400
Trim. Skewness (9/141)-0.7251000.000800Trim. Kurtosis (9/141)-0.8096000.061400
Trim. Skewness (10/141)-0.7294000.001000Trim. Kurtosis (10/141)-0.7931000.068800
Trim. Skewness (11/141)-0.7323000.001000Trim. Kurtosis (11/141)-0.7806000.075000
Trim. Skewness (12/141)-0.7336000.001000Trim. Kurtosis (12/141)-0.7724000.080200
Trim. Skewness (13/141)-0.7343000.001200Trim. Kurtosis (13/141)-0.7665000.085400
Trim. Skewness (14/141)-0.7327000.001200Trim. Kurtosis (14/141)-0.7683000.087200
Trim. Skewness (15/141)-0.7348000.001400Trim. Kurtosis (15/141)-0.7593000.095000
Trim. Skewness (16/141)-0.7338000.001400Trim. Kurtosis (16/141)-0.7589000.097000
Trim. Skewness (17/141)-0.7369000.001600Trim. Kurtosis (17/141)-0.7468000.105200
Trim. Skewness (18/141)-0.7403000.001600Trim. Kurtosis (18/141)-0.7339000.114200
Trim. Skewness (19/141)-0.7423000.001800Trim. Kurtosis (19/141)-0.7255000.123600
Trim. Skewness (20/141)-0.7459000.001800Trim. Kurtosis (20/141)-0.7112000.133600
Trim. Skewness (21/141)-0.7508000.002000Trim. Kurtosis (21/141)-0.6935000.147000
Trim. Skewness (22/141)-0.7557000.002000Trim. Kurtosis (22/141)-0.6765000.161600
Trim. Skewness (23/141)-0.7583000.002200Trim. Kurtosis (23/141)-0.6678000.170600
Trim. Skewness (24/141)-0.7610000.002200Trim. Kurtosis (24/141)-0.6597000.180200
Trim. Skewness (25/141)-0.7588000.002600Trim. Kurtosis (25/141)-0.6707000.177000
Trim. Skewness (26/141)-0.7534000.003200Trim. Kurtosis (26/141)-0.6903000.170600
Trim. Skewness (27/141)-0.7549000.003400Trim. Kurtosis (27/141)-0.6916000.173800
Trim. Skewness (28/141)-0.7630000.003400Trim. Kurtosis (28/141)-0.6764000.190200
Trim. Skewness (29/141)-0.7739000.003400Trim. Kurtosis (29/141)-0.6567000.207600
Trim. Skewness (30/141)-0.7810000.003400Trim. Kurtosis (30/141)-0.6545000.215000
Trim. Skewness (31/141)-0.7966000.003200Trim. Kurtosis (31/141)-0.6288000.238000
Trim. Skewness (32/141)-0.8051000.003200Trim. Kurtosis (32/141)-0.6206000.250200
Trim. Skewness (33/141)-0.8099000.003600Trim. Kurtosis (33/141)-0.6371000.242000
Trim. Skewness (34/141)-0.8412000.002600Trim. Kurtosis (34/141)-0.5683000.303000
Trim. Skewness (35/141)-0.8720000.002200Trim. Kurtosis (35/141)-0.4954000.373400
Trim. Skewness (36/141)-0.9003000.001800Trim. Kurtosis (36/141)-0.4158000.465400
Trim. Skewness (37/141)-0.9292000.001400Trim. Kurtosis (37/141)-0.3345000.562000
Trim. Skewness (38/141)-0.9560000.001200Trim. Kurtosis (38/141)-0.2647000.645600
Trim. Skewness (39/141)-0.9805000.001200Trim. Kurtosis (39/141)-0.2122000.718800
Trim. Skewness (40/141)-1.0088000.001000Trim. Kurtosis (40/141)-0.1532000.794800
 
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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