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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 18:43:23 +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/t1291142486pnbqn1riy7wf22k.htm/, Retrieved Tue, 30 Nov 2010 19:41:26 +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/t1291142486pnbqn1riy7wf22k.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 «
49,22043094 46,49972159 44,35038951 45,26683988 46,55833968 46,08519797 48,74277599 41,87356842 46,78074437 41,73570144 43,79351449 47,17466271 43,70001203 46,52129493 45,20587379 49,4381241 43,17597672 46,88438338 44,58758721 48,95060458 46,0147376 46,01113302 46,69983963 45,09801413 44,47087201 43,53615269 43,8516386 46,91064213 45,06094671 46,89682667 46,52131552 43,10839446 46,15315604 46,06915307 46,13935675 44,14561779 46,59923316 43,1805645 42,76800611 48,39350074 44,44580044 47,41269994 45,44682121 45,64126396 46,95190029 48,76308713 45,91964094 46,84365031 47,7635406 49,70014021 47,05761454 45,06311045 44,33860567 43,20875804 42,27030779 47,14213632 46,49937973 46,18778521 44,48336987 46,83390004 46,00419616 46,83765412 42,81426647 46,94479433 46,04599047 45,30857554 48,07056311 47,93517056 47,9997315 48,83539056 43,50057814 49,96400194 48,6453845 42,29556431 46,71991847 44,85809296 48,38973387 44,17717996 46,43075081 47,3 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.546122FISHER 4th Cent. Mom.45.885342
FISHER beta 10.005106FISHER beta 23.048095
FISHER gamma 10.071459FISHER gamma 20.048095
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.652327FISHER Test 20.219521
FISHER Test 1 Probability0.509200FISHER Test 2 Probability0.825800
Pearson 2-0.006700
Yule using Quartile definition:
Weighted Average at Xnp		-0.086213
Yule using Quartile definition:
Weighted Average at X(n+1)p		-0.084657
Yule using Quartile definition:
Empirical Distribution Function		-0.086213
Yule using Quartile definition:
Empirical Distribution Function - Averaging		-0.083617
Yule using Quartile definition:
Empirical Distribution Function - Interpolation		-0.082574
Yule using Quartile definition:
Closest Observation		-0.086213
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit		-0.082574
Yule using Quartile definition:
MS Excel (old versions)		-0.085694
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.071674Kurtosis (small sample)0.060676
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.656248TEST 1 (small sample)0.278321
TEST 1 Prob. (small sample)0.509200TEST 1 Prob. (small sample)0.779400
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0717000.509200Trim. Kurtosis (0/500)0.0607000.779400
Trim. Skewness (1/500)0.0312000.771800Trim. Kurtosis (1/500)-0.1720000.429600
Trim. Skewness (2/500)0.0130000.904400Trim. Kurtosis (2/500)-0.2827000.193600
Trim. Skewness (3/500)0.0087000.936200Trim. Kurtosis (3/500)-0.3556000.103200
Trim. Skewness (4/500)0.0069000.944200Trim. Kurtosis (4/500)-0.4052000.064400
Trim. Skewness (5/500)0.0083000.936200Trim. Kurtosis (5/500)-0.4411000.044400
Trim. Skewness (6/500)0.0139000.896600Trim. Kurtosis (6/500)-0.4728000.031600
Trim. Skewness (7/500)0.0186000.865000Trim. Kurtosis (7/500)-0.5020000.022600
Trim. Skewness (8/500)0.0213000.841400Trim. Kurtosis (8/500)-0.5264000.017400
Trim. Skewness (9/500)0.0244000.825800Trim. Kurtosis (9/500)-0.5447000.013800
Trim. Skewness (10/500)0.0267000.810400Trim. Kurtosis (10/500)-0.5642000.011000
Trim. Skewness (11/500)0.0293000.787200Trim. Kurtosis (11/500)-0.5826000.008800
Trim. Skewness (12/500)0.0308000.779400Trim. Kurtosis (12/500)-0.6014000.007000
Trim. Skewness (13/500)0.0322000.771800Trim. Kurtosis (13/500)-0.6210000.005400
Trim. Skewness (14/500)0.0321000.771800Trim. Kurtosis (14/500)-0.6381000.004400
Trim. Skewness (15/500)0.0316000.771800Trim. Kurtosis (15/500)-0.6572000.003400
Trim. Skewness (16/500)0.0329000.764200Trim. Kurtosis (16/500)-0.6739000.002600
Trim. Skewness (17/500)0.0330000.764200Trim. Kurtosis (17/500)-0.6901000.002200
Trim. Skewness (18/500)0.0331000.764200Trim. Kurtosis (18/500)-0.7080000.001800
Trim. Skewness (19/500)0.0324000.771800Trim. Kurtosis (19/500)-0.7254000.001400
Trim. Skewness (20/500)0.0329000.771800Trim. Kurtosis (20/500)-0.7392000.001200
Trim. Skewness (21/500)0.0328000.771800Trim. Kurtosis (21/500)-0.7524000.001000
Trim. Skewness (22/500)0.0339000.764200Trim. Kurtosis (22/500)-0.7647000.000800
Trim. Skewness (23/500)0.0351000.756600Trim. Kurtosis (23/500)-0.7777000.000600
Trim. Skewness (24/500)0.0375000.741400Trim. Kurtosis (24/500)-0.7897000.000600
Trim. Skewness (25/500)0.0387000.733800Trim. Kurtosis (25/500)-0.7995000.000400
Trim. Skewness (26/500)0.0406000.718800Trim. Kurtosis (26/500)-0.8099000.000400
Trim. Skewness (27/500)0.0422000.711400Trim. Kurtosis (27/500)-0.8200000.000400
Trim. Skewness (28/500)0.0427000.711400Trim. Kurtosis (28/500)-0.8291000.000400
Trim. Skewness (29/500)0.0429000.711400Trim. Kurtosis (29/500)-0.8372000.000200
Trim. Skewness (30/500)0.0433000.704000Trim. Kurtosis (30/500)-0.8455000.000200
Trim. Skewness (31/500)0.0426000.711400Trim. Kurtosis (31/500)-0.8508000.000200
Trim. Skewness (32/500)0.0417000.718800Trim. Kurtosis (32/500)-0.8569000.000200
Trim. Skewness (33/500)0.0411000.718800Trim. Kurtosis (33/500)-0.8618000.000200
Trim. Skewness (34/500)0.0412000.718800Trim. Kurtosis (34/500)-0.8657000.000200
Trim. Skewness (35/500)0.0413000.718800Trim. Kurtosis (35/500)-0.8705000.000200
Trim. Skewness (36/500)0.0411000.726400Trim. Kurtosis (36/500)-0.8757000.000200
Trim. Skewness (37/500)0.0411000.726400Trim. Kurtosis (37/500)-0.8817000.000200
Trim. Skewness (38/500)0.0413000.726400Trim. Kurtosis (38/500)-0.8877000.000200
Trim. Skewness (39/500)0.0413000.726400Trim. Kurtosis (39/500)-0.8943000.000200
Trim. Skewness (40/500)0.0417000.718800Trim. Kurtosis (40/500)-0.9001000.000200
 
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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