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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 17:39:18 +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/t1291052294d9ssded8n6kn5ww.htm/, Retrieved Mon, 29 Nov 2010 18:38:14 +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/t1291052294d9ssded8n6kn5ww.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 «
27005.63 27988.65 28709.41 27892.65 26210.37 26470.08 25708.56 26108.72 25055.71 25072.3 25630.96 25055.88 24714.74 24736.12 24641.93 24781.83 25970 25798.26 26705.62 26162.99 25934.37 25270.81 25659.9 26141.06 25774.21 26735.21 27040.47 25966.12 25398.42 25023.08 25199.53 24911.52 23907.55 23844.72 24439.91 23579.48 23991.03 24032.46 24152.34 24168.57 24026.59 23699.93 23751.96 23940.66 23035.95 23220.02 23054.97 23315.43 23282.57 23539.49 23615.25 23620.31 23452.76 23497.17 23968.83 24038.89 24919.26 25001.59 25536.39 25409.83 25697.25 25143.61 25764.83 25943.57 26771.17 26631.06 26650.66 26377.63 27653.58 28546.46 28838.28 28446.99 28160.81 28324.29 29523.15 29445.96 28548.43 28678.57 28956.83 29675.55 29552.26 29189.01 30746.39 31651.81 32170.71 33014.23 33716.92 32842.61 32805.72 32203.06 33043.28 32828.9 33094.92 33484.52 33666.08 35139.7 34720.55 35014.5 35407.68 34860.56 35168.73 35021.01 35002.99 36 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.89146e+10FISHER 4th Cent. Mom.5.59168e+14
FISHER beta 10.255554FISHER beta 21.707575
FISHER gamma 10.505523FISHER gamma 2-1.292425
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 12.260769FISHER Test 2-2.889951
FISHER Test 1 Probability0.023200FISHER Test 2 Probability0.003800
Pearson 21.223201
Yule using Quartile definition:
Weighted Average at Xnp
0.565439
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.570588
Yule using Quartile definition:
Empirical Distribution Function
0.565439
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.574208
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.577853
Yule using Quartile definition:
Closest Observation
0.565439
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.577853
Yule using Quartile definition:
MS Excel (old versions)
0.566993
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.511945Kurtosis (small sample)-1.296221
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)2.317767TEST 1 (small sample)-2.957178
TEST 1 Prob. (small sample)0.020400TEST 1 Prob. (small sample)0.003000
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.5119000.020400Trim. Kurtosis (0/120)-1.2962000.003000
Trim. Skewness (1/120)0.5208000.019200Trim. Kurtosis (1/120)-1.2856000.003600
Trim. Skewness (2/120)0.5312000.017800Trim. Kurtosis (2/120)-1.2725000.004200
Trim. Skewness (3/120)0.5412000.016800Trim. Kurtosis (3/120)-1.2579000.005200
Trim. Skewness (4/120)0.5509000.015600Trim. Kurtosis (4/120)-1.2438000.006000
Trim. Skewness (5/120)0.5632000.014200Trim. Kurtosis (5/120)-1.2244000.007400
Trim. Skewness (6/120)0.5746000.013200Trim. Kurtosis (6/120)-1.2046000.008800
Trim. Skewness (7/120)0.5880000.012000Trim. Kurtosis (7/120)-1.1803000.011000
Trim. Skewness (8/120)0.6017000.010800Trim. Kurtosis (8/120)-1.1549000.013800
Trim. Skewness (9/120)0.6167000.009800Trim. Kurtosis (9/120)-1.1264000.017400
Trim. Skewness (10/120)0.6320000.008800Trim. Kurtosis (10/120)-1.0967000.021400
Trim. Skewness (11/120)0.6479000.007800Trim. Kurtosis (11/120)-1.0660000.027200
Trim. Skewness (12/120)0.6644000.007000Trim. Kurtosis (12/120)-1.0326000.034000
Trim. Skewness (13/120)0.6812000.006200Trim. Kurtosis (13/120)-0.9977000.042400
Trim. Skewness (14/120)0.6980000.005400Trim. Kurtosis (14/120)-0.9606000.052400
Trim. Skewness (15/120)0.7150000.004800Trim. Kurtosis (15/120)-0.9215000.065800
Trim. Skewness (16/120)0.7328000.004200Trim. Kurtosis (16/120)-0.8797000.081800
Trim. Skewness (17/120)0.7509000.003800Trim. Kurtosis (17/120)-0.8366000.103200
Trim. Skewness (18/120)0.7688000.003400Trim. Kurtosis (18/120)-0.7942000.126000
Trim. Skewness (19/120)0.7863000.003000Trim. Kurtosis (19/120)-0.7526000.149800
Trim. Skewness (20/120)0.8051000.002600Trim. Kurtosis (20/120)-0.7093000.180200
Trim. Skewness (21/120)0.8243000.002400Trim. Kurtosis (21/120)-0.6678000.211200
Trim. Skewness (22/120)0.8435000.002200Trim. Kurtosis (22/120)-0.6232000.250200
Trim. Skewness (23/120)0.8641000.002000Trim. Kurtosis (23/120)-0.5779000.293800
Trim. Skewness (24/120)0.8896000.001600Trim. Kurtosis (24/120)-0.5028000.368200
Trim. Skewness (25/120)0.9128000.001400Trim. Kurtosis (25/120)-0.4226000.453200
Trim. Skewness (26/120)0.9342000.001200Trim. Kurtosis (26/120)-0.3406000.548400
Trim. Skewness (27/120)0.9520000.001200Trim. Kurtosis (27/120)-0.2653000.645600
Trim. Skewness (28/120)0.9700000.001200Trim. Kurtosis (28/120)-0.1823000.756600
Trim. Skewness (29/120)0.9953000.001000Trim. Kurtosis (29/120)-0.0603000.912400
Trim. Skewness (30/120)1.0181000.001000Trim. Kurtosis (30/120)0.0664000.912400
Trim. Skewness (31/120)1.0313000.001000Trim. Kurtosis (31/120)0.1809000.764200
Trim. Skewness (32/120)1.0401000.001000Trim. Kurtosis (32/120)0.3004000.631200
Trim. Skewness (33/120)1.0247000.001600Trim. Kurtosis (33/120)0.3539000.575400
Trim. Skewness (34/120)0.9622000.003600Trim. Kurtosis (34/120)0.2314000.718800
Trim. Skewness (35/120)0.9123000.006600Trim. Kurtosis (35/120)0.1716000.794800
Trim. Skewness (36/120)0.7703000.024400Trim. Kurtosis (36/120)-0.2675000.689200
Trim. Skewness (37/120)0.5907000.091000Trim. Kurtosis (37/120)-0.9007000.190200
Trim. Skewness (38/120)0.4867000.170600Trim. Kurtosis (38/120)-1.2646000.070200
Trim. Skewness (39/120)0.4945000.173800Trim. Kurtosis (39/120)-1.2603000.078400
Trim. Skewness (40/120)0.5076000.173800Trim. Kurtosis (40/120)-1.2536000.085400
 
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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