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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 18:35:50 +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/t1291142029bolt4k7dapg9g48.htm/, Retrieved Tue, 30 Nov 2010 19:33:49 +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/t1291142029bolt4k7dapg9g48.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 «
150,2501878 149,3698858 147,0710637 150,2944892 149,3534311 152,4335704 148,1964109 152,0114861 150,1018735 149,7575293 151,5404984 151,5882763 148,9700319 151,2971753 150,8187398 151,6652143 149,7578415 150,4208419 149,8908592 146,6750171 151,4345221 150,5063619 151,2516655 147,9064308 148,5219432 150,839427 149,517494 147,422224 150,4558386 150,8056075 148,8761653 146,1778011 150,6985886 150,6355003 145,4215868 152,4438882 150,7376474 149,2432234 146,4757052 149,388842 151,9020103 149,4874866 151,3878398 149,8187299 154,0545585 152,8446881 150,3916354 148,4739249 150,659842 147,0317854 151,4322593 150,732864 151,1285024 147,1062069 152,6360774 151,6402108 147,887431 149,3895469 151,4639405 150,1105885 151,6211911 147,8455445 150,5838472 153,1390162 152,9513337 153,3148242 149,9998842 148,9559235 147,9506367 152,6637935 147,345126 146,0032251 147,7342935 152,2279122 151,0335832 151,5869513 147,9144977 149,5460711 149,5963009 148,9 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-3.707501FISHER 4th Cent. Mom.56.238817
FISHER beta 10.185204FISHER beta 23.184407
FISHER gamma 1-0.430354FISHER gamma 20.184407
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.924600FISHER Test 20.412347
FISHER Test 1 Probability0.053600FISHER Test 2 Probability0.674400
Pearson 2-0.416523
Yule using Quartile definition:
Weighted Average at Xnp
-0.239031
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.198195
Yule using Quartile definition:
Empirical Distribution Function
-0.239031
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.188236
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.177678
Yule using Quartile definition:
Closest Observation
-0.239031
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.177678
Yule using Quartile definition:
MS Excel (old versions)
-0.207606
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.435821Kurtosis (small sample)0.244045
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.973123TEST 1 (small sample)0.556760
TEST 1 Prob. (small sample)0.047800TEST 1 Prob. (small sample)0.575400
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4358000.047800Trim. Kurtosis (0/120)0.2440000.575400
Trim. Skewness (1/120)-0.2370000.284600Trim. Kurtosis (1/120)-0.5790000.186800
Trim. Skewness (2/120)-0.2257000.312400Trim. Kurtosis (2/120)-0.6853000.123600
Trim. Skewness (3/120)-0.2235000.322200Trim. Kurtosis (3/120)-0.7195000.107400
Trim. Skewness (4/120)-0.2173000.337000Trim. Kurtosis (4/120)-0.7440000.099000
Trim. Skewness (5/120)-0.2170000.342200Trim. Kurtosis (5/120)-0.7624000.095000
Trim. Skewness (6/120)-0.2180000.347200Trim. Kurtosis (6/120)-0.7898000.085400
Trim. Skewness (7/120)-0.2195000.347200Trim. Kurtosis (7/120)-0.8034000.083600
Trim. Skewness (8/120)-0.2201000.352400Trim. Kurtosis (8/120)-0.8190000.080200
Trim. Skewness (9/120)-0.2287000.337000Trim. Kurtosis (9/120)-0.8176000.083600
Trim. Skewness (10/120)-0.2347000.327000Trim. Kurtosis (10/120)-0.8247000.083600
Trim. Skewness (11/120)-0.2405000.322200Trim. Kurtosis (11/120)-0.8428000.080200
Trim. Skewness (12/120)-0.2361000.337000Trim. Kurtosis (12/120)-0.8647000.075000
Trim. Skewness (13/120)-0.2443000.322200Trim. Kurtosis (13/120)-0.8713000.076800
Trim. Skewness (14/120)-0.2533000.312400Trim. Kurtosis (14/120)-0.8800000.076800
Trim. Skewness (15/120)-0.2561000.312400Trim. Kurtosis (15/120)-0.8920000.075000
Trim. Skewness (16/120)-0.2773000.280200Trim. Kurtosis (16/120)-0.8837000.081800
Trim. Skewness (17/120)-0.2964000.250200Trim. Kurtosis (17/120)-0.8600000.093000
Trim. Skewness (18/120)-0.3144000.230200Trim. Kurtosis (18/120)-0.8398000.105200
Trim. Skewness (19/120)-0.3318000.211200Trim. Kurtosis (19/120)-0.8183000.118800
Trim. Skewness (20/120)-0.3528000.186800Trim. Kurtosis (20/120)-0.8062000.128600
Trim. Skewness (21/120)-0.3626000.180200Trim. Kurtosis (21/120)-0.7963000.138800
Trim. Skewness (22/120)-0.3643000.183600Trim. Kurtosis (22/120)-0.7899000.147000
Trim. Skewness (23/120)-0.3491000.207600Trim. Kurtosis (23/120)-0.7965000.147000
Trim. Skewness (24/120)-0.3223000.254200Trim. Kurtosis (24/120)-0.8282000.136200
Trim. Skewness (25/120)-0.3093000.280200Trim. Kurtosis (25/120)-0.8225000.144200
Trim. Skewness (26/120)-0.2849000.327000Trim. Kurtosis (26/120)-0.8444000.138800
Trim. Skewness (27/120)-0.2624000.373400Trim. Kurtosis (27/120)-0.8671000.136200
Trim. Skewness (28/120)-0.2533000.395400Trim. Kurtosis (28/120)-0.8611000.144200
Trim. Skewness (29/120)-0.2361000.435400Trim. Kurtosis (29/120)-0.8913000.136200
Trim. Skewness (30/120)-0.2079000.496400Trim. Kurtosis (30/120)-0.9536000.116400
Trim. Skewness (31/120)-0.2085000.502800Trim. Kurtosis (31/120)-0.9405000.126000
Trim. Skewness (32/120)-0.2140000.496400Trim. Kurtosis (32/120)-0.9240000.138800
Trim. Skewness (33/120)-0.2240000.484000Trim. Kurtosis (33/120)-0.9281000.144200
Trim. Skewness (34/120)-0.2310000.484000Trim. Kurtosis (34/120)-0.9539000.141600
Trim. Skewness (35/120)-0.2432000.465400Trim. Kurtosis (35/120)-1.0214000.121200
Trim. Skewness (36/120)-0.2332000.496400Trim. Kurtosis (36/120)-1.1698000.081800
Trim. Skewness (37/120)-0.2927000.400800Trim. Kurtosis (37/120)-1.2179000.075000
Trim. Skewness (38/120)-0.3399000.337000Trim. Kurtosis (38/120)-1.2333000.078400
Trim. Skewness (39/120)-0.3819000.293800Trim. Kurtosis (39/120)-1.2191000.087200
Trim. Skewness (40/120)-0.4370000.242000Trim. Kurtosis (40/120)-1.2240000.093000
 
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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