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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 15:09:50 +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/t129112966764ar4xerj8k8nw5.htm/, Retrieved Tue, 30 Nov 2010 16:07:47 +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/30/t129112966764ar4xerj8k8nw5.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 «
51.29417282 47.96079274 50.59622659 46.36532256 48.97236868 49.16280814 50.64889402 54.39421466 50.2889502 56.81947964 46.11592662 50.8286212 49.10342447 49.95541788 45.42595342 48.1974767 46.481469 54.97585663 46.86199774 49.26947472 51.07927741 47.38287632 48.24321798 49.52651771 47.95987566 46.62036642 48.6007785 48.92807211 55.74573991 46.60322064 51.74061555 45.02474841 48.55389756 49.7002101 48.51937543 54.67814843 48.70237269 46.80372055 49.34420441 53.95135976 52.62788342 47.97563823 49.85148747 49.66765308 45.15915305 55.67564924 54.5664901 45.97489448 49.16000767 52.35429095 46.32719202 52.61257217 51.64101273 48.81910911 49.30211891 46.65435506 54.36986628 48.43272425 46.53874584 50.3651349 51.01918008 55.94281093 52.66524473 48.38630805 51.40483702 47.91814081 47.37949558 47.84759583 52.78441184 48.33023585 48.71992798 48.83677355 53.85970174 51.21058614 49.88023815 50.54260762 45.60497199 49.77334538 52.17288025 52.922 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.843703FISHER 4th Cent. Mom.256.907377
FISHER beta 10.016988FISHER beta 22.819732
FISHER gamma 10.130339FISHER gamma 2-0.180268
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.189824FISHER Test 2-0.822807
FISHER Test 1 Probability0.234000FISHER Test 2 Probability0.406600
Pearson 20.243794
Yule using Quartile definition:
Weighted Average at Xnp
0.101941
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.102276
Yule using Quartile definition:
Empirical Distribution Function
0.101941
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.102382
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.102488
Yule using Quartile definition:
Closest Observation
0.101941
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.102488
Yule using Quartile definition:
MS Excel (old versions)
0.102170
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.130731Kurtosis (small sample)-0.169987
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.196977TEST 1 (small sample)-0.779735
TEST 1 Prob. (small sample)0.230200TEST 1 Prob. (small sample)0.435400
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1307000.230200Trim. Kurtosis (0/500)-0.1700000.435400
Trim. Skewness (1/500)0.1412000.193600Trim. Kurtosis (1/500)-0.2825000.193600
Trim. Skewness (2/500)0.1466000.180200Trim. Kurtosis (2/500)-0.3367000.123600
Trim. Skewness (3/500)0.1518000.164600Trim. Kurtosis (3/500)-0.3914000.073400
Trim. Skewness (4/500)0.1554000.155600Trim. Kurtosis (4/500)-0.4421000.043400
Trim. Skewness (5/500)0.1594000.147000Trim. Kurtosis (5/500)-0.4866000.027200
Trim. Skewness (6/500)0.1641000.136200Trim. Kurtosis (6/500)-0.5312000.016000
Trim. Skewness (7/500)0.1725000.118800Trim. Kurtosis (7/500)-0.5726000.009600
Trim. Skewness (8/500)0.1724000.118800Trim. Kurtosis (8/500)-0.5844000.008200
Trim. Skewness (9/500)0.1723000.121200Trim. Kurtosis (9/500)-0.5959000.007200
Trim. Skewness (10/500)0.1724000.121200Trim. Kurtosis (10/500)-0.6086000.006200
Trim. Skewness (11/500)0.1716000.123600Trim. Kurtosis (11/500)-0.6221000.005200
Trim. Skewness (12/500)0.1710000.126000Trim. Kurtosis (12/500)-0.6351000.004400
Trim. Skewness (13/500)0.1719000.123600Trim. Kurtosis (13/500)-0.6466000.003800
Trim. Skewness (14/500)0.1729000.123600Trim. Kurtosis (14/500)-0.6580000.003200
Trim. Skewness (15/500)0.1737000.121200Trim. Kurtosis (15/500)-0.6680000.002800
Trim. Skewness (16/500)0.1741000.121200Trim. Kurtosis (16/500)-0.6762000.002600
Trim. Skewness (17/500)0.1738000.123600Trim. Kurtosis (17/500)-0.6849000.002400
Trim. Skewness (18/500)0.1736000.123600Trim. Kurtosis (18/500)-0.6932000.002200
Trim. Skewness (19/500)0.1733000.126000Trim. Kurtosis (19/500)-0.7031000.001800
Trim. Skewness (20/500)0.1729000.128600Trim. Kurtosis (20/500)-0.7146000.001600
Trim. Skewness (21/500)0.1714000.131000Trim. Kurtosis (21/500)-0.7267000.001400
Trim. Skewness (22/500)0.1693000.136200Trim. Kurtosis (22/500)-0.7404000.001200
Trim. Skewness (23/500)0.1680000.141600Trim. Kurtosis (23/500)-0.7518000.001000
Trim. Skewness (24/500)0.1674000.144200Trim. Kurtosis (24/500)-0.7627000.000800
Trim. Skewness (25/500)0.1684000.141600Trim. Kurtosis (25/500)-0.7703000.000800
Trim. Skewness (26/500)0.1687000.141600Trim. Kurtosis (26/500)-0.7777000.000800
Trim. Skewness (27/500)0.1691000.141600Trim. Kurtosis (27/500)-0.7865000.000600
Trim. Skewness (28/500)0.1692000.141600Trim. Kurtosis (28/500)-0.7962000.000600
Trim. Skewness (29/500)0.1693000.144200Trim. Kurtosis (29/500)-0.8070000.000400
Trim. Skewness (30/500)0.1705000.141600Trim. Kurtosis (30/500)-0.8163000.000400
Trim. Skewness (31/500)0.1718000.138800Trim. Kurtosis (31/500)-0.8246000.000400
Trim. Skewness (32/500)0.1729000.138800Trim. Kurtosis (32/500)-0.8333000.000400
Trim. Skewness (33/500)0.1748000.133600Trim. Kurtosis (33/500)-0.8396000.000400
Trim. Skewness (34/500)0.1758000.133600Trim. Kurtosis (34/500)-0.8447000.000400
Trim. Skewness (35/500)0.1766000.131000Trim. Kurtosis (35/500)-0.8504000.000200
Trim. Skewness (36/500)0.1772000.131000Trim. Kurtosis (36/500)-0.8569000.000200
Trim. Skewness (37/500)0.1773000.133600Trim. Kurtosis (37/500)-0.8612000.000200
Trim. Skewness (38/500)0.1771000.133600Trim. Kurtosis (38/500)-0.8660000.000200
Trim. Skewness (39/500)0.1758000.138800Trim. Kurtosis (39/500)-0.8705000.000200
Trim. Skewness (40/500)0.1747000.141600Trim. Kurtosis (40/500)-0.8751000.000200
 
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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