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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: Mon, 29 Nov 2010 21:20:10 +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/29/t1291065572419468a0x1ki54l.htm/, Retrieved Mon, 29 Nov 2010 22:19:32 +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/29/t1291065572419468a0x1ki54l.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 «
0.0118 -0.0035 0.0003 -0.0107 -0.0013 -0.0017 -0.0038 -0.0378 -0.0182 -0.0024 -0.0063 -0.0204 -0.0043 0.0058 0.0158 0.0268 -0.0073 0.029 -0.0165 0.0032 -0.022 0.0134 0.012 0.0004 0.0051 0.0054 -0.0226 -0.0001 -0.022 -0.0059 -0.0046 -0.0225 -0.0153 0.0153 -0.0243 -0.0085 -0.0163 -0.0097 0.0042 0.005 -0.052 -0.0279 0.0114 -0.0204 -0.0162 0.0167 0.04 0.0188 0.0143 -0.0056 0.0273 -0.004 -0.0015 -0.0052 0.0112 0.0262 -0.0027 0.0044 0.0148 -0.0179 -0.0296 0.028 0.0137 0.0324 -0.0125 -0.0046 -0.0194 0.0029 0.0204 0.0084 0.0142 0.0137 0.0261 -0.0353 0.0147 0.0104 0.0008 0.0261 -0.0112 -0.0068 0.0156 0.0012 0.0203 -0.012 0.0277 0.0237 0.0251 -0.0193 -0.0175 -0.0163 -0.019 0.0135 0.0219 0.0141 0.014 -0.0248 0.004 0.005 -0.0045 0.0091 -0.0101 0.0037 0.0097 -0.0032 -0.0088 -0.0017 0.004 -0.0123 0.0051 0.0037 -0.0022 0.0051 -0.03 -0.0067 -0.0156 0.0082 0.0085 -0.025 0.0092
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000001FISHER 4th Cent. Mom.0.000000
FISHER beta 10.039909FISHER beta 22.865744
FISHER gamma 1-0.199773FISHER gamma 2-0.134256
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 1-0.889683FISHER Test 2-0.298952
FISHER Test 1 Probability0.373400FISHER Test 2 Probability0.764200
Pearson 2-0.063906
Yule using Quartile definition:
Weighted Average at Xnp
-0.013306
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.031496
Yule using Quartile definition:
Empirical Distribution Function
0.031496
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.031496
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.020576
Yule using Quartile definition:
Closest Observation
-0.025000
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.031496
Yule using Quartile definition:
MS Excel (old versions)
0.031496
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.202333Kurtosis (small sample)-0.087906
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)-0.912304TEST 1 (small sample)-0.199743
TEST 1 Prob. (small sample)0.357600TEST 1 Prob. (small sample)0.841400
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)-0.2023000.357600Trim. Kurtosis (0/119)-0.0879000.841400
Trim. Skewness (1/119)-0.0995000.652800Trim. Kurtosis (1/119)-0.6170000.161600
Trim. Skewness (2/119)-0.0716000.749000Trim. Kurtosis (2/119)-0.7176000.107400
Trim. Skewness (3/119)-0.0358000.872800Trim. Kurtosis (3/119)-0.7891000.080200
Trim. Skewness (4/119)-0.0260000.904400Trim. Kurtosis (4/119)-0.8014000.076800
Trim. Skewness (5/119)-0.0145000.944200Trim. Kurtosis (5/119)-0.8249000.071800
Trim. Skewness (6/119)-0.0096000.960200Trim. Kurtosis (6/119)-0.8444000.067200
Trim. Skewness (7/119)-0.0193000.928200Trim. Kurtosis (7/119)-0.8469000.068800
Trim. Skewness (8/119)-0.0282000.904400Trim. Kurtosis (8/119)-0.8552000.068800
Trim. Skewness (9/119)-0.0420000.857200Trim. Kurtosis (9/119)-0.8752000.065800
Trim. Skewness (10/119)-0.0710000.764200Trim. Kurtosis (10/119)-0.9016000.060200
Trim. Skewness (11/119)-0.0985000.681800Trim. Kurtosis (11/119)-0.9341000.053600
Trim. Skewness (12/119)-0.1225000.617000Trim. Kurtosis (12/119)-0.9624000.048800
Trim. Skewness (13/119)-0.1344000.589200Trim. Kurtosis (13/119)-0.9861000.045600
Trim. Skewness (14/119)-0.1474000.555200Trim. Kurtosis (14/119)-0.9882000.047800
Trim. Skewness (15/119)-0.1620000.522200Trim. Kurtosis (15/119)-1.0046000.046600
Trim. Skewness (16/119)-0.1731000.496400Trim. Kurtosis (16/119)-1.0046000.048800
Trim. Skewness (17/119)-0.1685000.515600Trim. Kurtosis (17/119)-0.9954000.053600
Trim. Skewness (18/119)-0.1573000.548400Trim. Kurtosis (18/119)-0.9855000.058800
Trim. Skewness (19/119)-0.1485000.575400Trim. Kurtosis (19/119)-0.9701000.065800
Trim. Skewness (20/119)-0.1366000.610000Trim. Kurtosis (20/119)-0.9569000.073400
Trim. Skewness (21/119)-0.1205000.660000Trim. Kurtosis (21/119)-0.9436000.080200
Trim. Skewness (22/119)-0.1099000.689200Trim. Kurtosis (22/119)-0.9201000.093000
Trim. Skewness (23/119)-0.0935000.733800Trim. Kurtosis (23/119)-0.8990000.105200
Trim. Skewness (24/119)-0.0693000.802600Trim. Kurtosis (24/119)-0.8915000.111800
Trim. Skewness (25/119)-0.0355000.896600Trim. Kurtosis (25/119)-0.9044000.111800
Trim. Skewness (26/119)0.0012000.992000Trim. Kurtosis (26/119)-0.9291000.107400
Trim. Skewness (27/119)0.0513000.857200Trim. Kurtosis (27/119)-0.9839000.093000
Trim. Skewness (28/119)0.0566000.849200Trim. Kurtosis (28/119)-0.9786000.099000
Trim. Skewness (29/119)0.0630000.833600Trim. Kurtosis (29/119)-0.9902000.101000
Trim. Skewness (30/119)0.0662000.825800Trim. Kurtosis (30/119)-1.0318000.091000
Trim. Skewness (31/119)0.0827000.787200Trim. Kurtosis (31/119)-1.0404000.095000
Trim. Skewness (32/119)0.0964000.764200Trim. Kurtosis (32/119)-1.0617000.093000
Trim. Skewness (33/119)0.1076000.741400Trim. Kurtosis (33/119)-1.0892000.089200
Trim. Skewness (34/119)0.1150000.726400Trim. Kurtosis (34/119)-1.1482000.078400
Trim. Skewness (35/119)0.1195000.718800Trim. Kurtosis (35/119)-1.1861000.075000
Trim. Skewness (36/119)0.1368000.689200Trim. Kurtosis (36/119)-1.2287000.070200
Trim. Skewness (37/119)0.1337000.704000Trim. Kurtosis (37/119)-1.2406000.073400
Trim. Skewness (38/119)0.1123000.749000Trim. Kurtosis (38/119)-1.2743000.071800
Trim. Skewness (39/119)0.0994000.787200Trim. Kurtosis (39/119)-1.3141000.068800
Trim. Skewness (40/119)0.0626000.865000Trim. Kurtosis (40/119)-1.4047000.057400
 
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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