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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 14:49:19 +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/t12911284399e4cv5hu30l7etp.htm/, Retrieved Tue, 30 Nov 2010 15:47:19 +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/t12911284399e4cv5hu30l7etp.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 «
46.45070482 41.88746786 52.11433265 48.92746615 55.38460793 52.25924763 55.5680035 47.07751276 46.57608908 49.01876314 50.71164325 48.56953466 46.98863352 51.41465807 49.19493794 49.9363169 49.9440207 52.47304713 48.85893473 52.06804632 53.49183572 40.50963372 49.13607741 47.83493882 54.44491224 52.75071676 50.20376853 47.19214634 52.66685566 46.67923125 50.03111157 52.91564677 55.80108286 46.2916513 48.01577941 53.6772629 56.05038537 46.56603607 47.52231199 49.6830442 51.04865213 52.68902217 56.61088796 48.34954494 51.09939486 50.97993438 52.49829484 49.05114917 49.34368225 49.04313901 52.5798621 48.60957929 51.29856114 48.2908852 56.64680029 52.05232634 46.0981778 49.45474034 52.2813188 48.69906963 49.17144106 52.84164365 56.35009785 51.65591307 53.96568144 50.16016174 48.33824742 46.76993649 52.32341639 55.27186176 48.68447394 51.83552277 49.81171748 53.67712024 49.51384057 53.31107865 47.42356541 54.37666022 47.59222468 49.9943 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-5.384279FISHER 4th Cent. Mom.289.928737
FISHER beta 10.031084FISHER beta 23.037212
FISHER gamma 1-0.176305FISHER gamma 20.037212
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.788461FISHER Test 20.083208
FISHER Test 1 Probability0.429600FISHER Test 2 Probability0.928200
Pearson 20.330951
Yule using Quartile definition:
Weighted Average at Xnp
0.213621
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.219252
Yule using Quartile definition:
Empirical Distribution Function
0.213621
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.221349
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.223462
Yule using Quartile definition:
Closest Observation
0.213621
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.223462
Yule using Quartile definition:
MS Excel (old versions)
0.217169
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.178545Kurtosis (small sample)0.090527
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.808340TEST 1 (small sample)0.206526
TEST 1 Prob. (small sample)0.418000TEST 1 Prob. (small sample)0.833600
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1785000.418000Trim. Kurtosis (0/120)0.0905000.833600
Trim. Skewness (1/120)0.0092000.960200Trim. Kurtosis (1/120)-0.3966000.368200
Trim. Skewness (2/120)0.1544000.490200Trim. Kurtosis (2/120)-0.7645000.085400
Trim. Skewness (3/120)0.1588000.477600Trim. Kurtosis (3/120)-0.7850000.080200
Trim. Skewness (4/120)0.1638000.471600Trim. Kurtosis (4/120)-0.8217000.068800
Trim. Skewness (5/120)0.1582000.490200Trim. Kurtosis (5/120)-0.8680000.057400
Trim. Skewness (6/120)0.1484000.522200Trim. Kurtosis (6/120)-0.8984000.051200
Trim. Skewness (7/120)0.1373000.555200Trim. Kurtosis (7/120)-0.9209000.047800
Trim. Skewness (8/120)0.1261000.589200Trim. Kurtosis (8/120)-0.9368000.045600
Trim. Skewness (9/120)0.1181000.617000Trim. Kurtosis (9/120)-0.9556000.043400
Trim. Skewness (10/120)0.1018000.667200Trim. Kurtosis (10/120)-0.9874000.038400
Trim. Skewness (11/120)0.0815000.733800Trim. Kurtosis (11/120)-1.0277000.033200
Trim. Skewness (12/120)0.0764000.749000Trim. Kurtosis (12/120)-1.0493000.030800
Trim. Skewness (13/120)0.0780000.749000Trim. Kurtosis (13/120)-1.0606000.030800
Trim. Skewness (14/120)0.0793000.749000Trim. Kurtosis (14/120)-1.0755000.030000
Trim. Skewness (15/120)0.0748000.764200Trim. Kurtosis (15/120)-1.0957000.029200
Trim. Skewness (16/120)0.0675000.787200Trim. Kurtosis (16/120)-1.1293000.025800
Trim. Skewness (17/120)0.0735000.771800Trim. Kurtosis (17/120)-1.1429000.025800
Trim. Skewness (18/120)0.0767000.764200Trim. Kurtosis (18/120)-1.1657000.024400
Trim. Skewness (19/120)0.0898000.733800Trim. Kurtosis (19/120)-1.1892000.023200
Trim. Skewness (20/120)0.1030000.696600Trim. Kurtosis (20/120)-1.2161000.022000
Trim. Skewness (21/120)0.1117000.674400Trim. Kurtosis (21/120)-1.2552000.019200
Trim. Skewness (22/120)0.1256000.645600Trim. Kurtosis (22/120)-1.2931000.017400
Trim. Skewness (23/120)0.1386000.617000Trim. Kurtosis (23/120)-1.3509000.014200
Trim. Skewness (24/120)0.1482000.596200Trim. Kurtosis (24/120)-1.3903000.012800
Trim. Skewness (25/120)0.1651000.562000Trim. Kurtosis (25/120)-1.4016000.013200
Trim. Skewness (26/120)0.1689000.555200Trim. Kurtosis (26/120)-1.4031000.014200
Trim. Skewness (27/120)0.1740000.555200Trim. Kurtosis (27/120)-1.4035000.015600
Trim. Skewness (28/120)0.1827000.535200Trim. Kurtosis (28/120)-1.4052000.017400
Trim. Skewness (29/120)0.1905000.528600Trim. Kurtosis (29/120)-1.3993000.019200
Trim. Skewness (30/120)0.1961000.522200Trim. Kurtosis (30/120)-1.3881000.022000
Trim. Skewness (31/120)0.2001000.522200Trim. Kurtosis (31/120)-1.3790000.025000
Trim. Skewness (32/120)0.1986000.528600Trim. Kurtosis (32/120)-1.3739000.028600
Trim. Skewness (33/120)0.2004000.535200Trim. Kurtosis (33/120)-1.3661000.032400
Trim. Skewness (34/120)0.2035000.535200Trim. Kurtosis (34/120)-1.3533000.036600
Trim. Skewness (35/120)0.2024000.541800Trim. Kurtosis (35/120)-1.3430000.042400
Trim. Skewness (36/120)0.2068000.541800Trim. Kurtosis (36/120)-1.3264000.048800
Trim. Skewness (37/120)0.2112000.541800Trim. Kurtosis (37/120)-1.3093000.056200
Trim. Skewness (38/120)0.2112000.548400Trim. Kurtosis (38/120)-1.2913000.064400
Trim. Skewness (39/120)0.2075000.568600Trim. Kurtosis (39/120)-1.2850000.071800
Trim. Skewness (40/120)0.2102000.568600Trim. Kurtosis (40/120)-1.2550000.085400
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





Copyright

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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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