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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 19:35:47 +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/t1291059260tk738ygr0o5ifb1.htm/, Retrieved Mon, 29 Nov 2010 20:34:20 +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/t1291059260tk738ygr0o5ifb1.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 «
2963.824037 2806.663215 2363.872425 3359.548271 3300.721641 3689.044178 3211.768883 2992.082627 2959.50416 2927.865795 3843.963728 2930.873711 2801.418365 3271.95391 2651.994698 2982.410307 3126.168063 3412.17089 3428.751049 3295.03187 3162.204534 1850.24148 2294.792843 2562.45971 3097.111252 3461.246743 2472.254192 2558.642789 3280.649238 3545.091993 2953.154389 3538.60112 3628.312387 3199.75132 2773.225633 2879.992434 3395.434711 3258.023392 2792.624603 3535.156404 2679.801165 3260.935636 2612.735999 2252.119967 3109.495786 3208.546485 3026.957012 2695.450079 2730.012448 3118.774001 2519.294639 3699.444532 4235.670109 3237.26802 2687.136889 2744.569155 3058.335987 3081.846856 3659.42438 3388.155686 3515.370987 3380.761502 2458.294853 3020.184665 2865.058983 3249.572515 3348.75964 3495.554227 3057.984615 3080.455732 2643.087488 3275.938938 2346.427658 2487.414888 3594.202932 3447.805347 3583.150406 2601.890265 3507.625091 2885.986 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-1.02269e+7FISHER 4th Cent. Mom.1.38582e+11
FISHER beta 10.010422FISHER beta 22.978589
FISHER gamma 1-0.102088FISHER gamma 2-0.021411
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-0.931927FISHER Test 2-0.097726
FISHER Test 1 Probability0.347200FISHER Test 2 Probability0.920400
Pearson 2-0.311644
Yule using Quartile definition:
Weighted Average at Xnp
-0.160630
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.156373
Yule using Quartile definition:
Empirical Distribution Function
-0.160630
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.154608
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.152830
Yule using Quartile definition:
Closest Observation
-0.160630
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.152830
Yule using Quartile definition:
MS Excel (old versions)
-0.158126
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.102395Kurtosis (small sample)-0.009530
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-0.937530TEST 1 (small sample)-0.043713
TEST 1 Prob. (small sample)0.347200TEST 1 Prob. (small sample)0.960200
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1024000.347200Trim. Kurtosis (0/500)-0.0095000.960200
Trim. Skewness (1/500)-0.0806000.459200Trim. Kurtosis (1/500)-0.1527000.484000
Trim. Skewness (2/500)-0.0740000.496400Trim. Kurtosis (2/500)-0.2600000.234000
Trim. Skewness (3/500)-0.0782000.471600Trim. Kurtosis (3/500)-0.3338000.126000
Trim. Skewness (4/500)-0.0807000.459200Trim. Kurtosis (4/500)-0.4146000.058800
Trim. Skewness (5/500)-0.0866000.429600Trim. Kurtosis (5/500)-0.4893000.025800
Trim. Skewness (6/500)-0.0973000.378800Trim. Kurtosis (6/500)-0.5333000.015600
Trim. Skewness (7/500)-0.1095000.322200Trim. Kurtosis (7/500)-0.5818000.008200
Trim. Skewness (8/500)-0.1199000.275800Trim. Kurtosis (8/500)-0.6098000.005800
Trim. Skewness (9/500)-0.1272000.250200Trim. Kurtosis (9/500)-0.6330000.004200
Trim. Skewness (10/500)-0.1344000.226200Trim. Kurtosis (10/500)-0.6541000.003200
Trim. Skewness (11/500)-0.1403000.207600Trim. Kurtosis (11/500)-0.6719000.002600
Trim. Skewness (12/500)-0.1460000.190200Trim. Kurtosis (12/500)-0.6908000.002000
Trim. Skewness (13/500)-0.1495000.180200Trim. Kurtosis (13/500)-0.7060000.001600
Trim. Skewness (14/500)-0.1535000.170600Trim. Kurtosis (14/500)-0.7211000.001200
Trim. Skewness (15/500)-0.1595000.155600Trim. Kurtosis (15/500)-0.7348000.001000
Trim. Skewness (16/500)-0.1657000.141600Trim. Kurtosis (16/500)-0.7481000.000800
Trim. Skewness (17/500)-0.1716000.128600Trim. Kurtosis (17/500)-0.7614000.000800
Trim. Skewness (18/500)-0.1767000.118800Trim. Kurtosis (18/500)-0.7748000.000600
Trim. Skewness (19/500)-0.1825000.107400Trim. Kurtosis (19/500)-0.7888000.000600
Trim. Skewness (20/500)-0.1876000.099000Trim. Kurtosis (20/500)-0.8028000.000400
Trim. Skewness (21/500)-0.1917000.091000Trim. Kurtosis (21/500)-0.8164000.000400
Trim. Skewness (22/500)-0.1959000.085400Trim. Kurtosis (22/500)-0.8321000.000200
Trim. Skewness (23/500)-0.1995000.080200Trim. Kurtosis (23/500)-0.8449000.000200
Trim. Skewness (24/500)-0.2023000.076800Trim. Kurtosis (24/500)-0.8552000.000200
Trim. Skewness (25/500)-0.2040000.075000Trim. Kurtosis (25/500)-0.8630000.000200
Trim. Skewness (26/500)-0.2052000.075000Trim. Kurtosis (26/500)-0.8708000.000200
Trim. Skewness (27/500)-0.2067000.073400Trim. Kurtosis (27/500)-0.8778000.000200
Trim. Skewness (28/500)-0.2082000.071800Trim. Kurtosis (28/500)-0.8851000.000200
Trim. Skewness (29/500)-0.2096000.070200Trim. Kurtosis (29/500)-0.8929000.000200
Trim. Skewness (30/500)-0.2104000.070200Trim. Kurtosis (30/500)-0.9011000.000200
Trim. Skewness (31/500)-0.2112000.068800Trim. Kurtosis (31/500)-0.9104000.000000
Trim. Skewness (32/500)-0.2107000.070200Trim. Kurtosis (32/500)-0.9191000.000000
Trim. Skewness (33/500)-0.2101000.071800Trim. Kurtosis (33/500)-0.9281000.000000
Trim. Skewness (34/500)-0.2090000.075000Trim. Kurtosis (34/500)-0.9370000.000000
Trim. Skewness (35/500)-0.2077000.076800Trim. Kurtosis (35/500)-0.9451000.000000
Trim. Skewness (36/500)-0.2060000.080200Trim. Kurtosis (36/500)-0.9537000.000000
Trim. Skewness (37/500)-0.2051000.081800Trim. Kurtosis (37/500)-0.9608000.000000
Trim. Skewness (38/500)-0.2041000.083600Trim. Kurtosis (38/500)-0.9667000.000000
Trim. Skewness (39/500)-0.2036000.085400Trim. Kurtosis (39/500)-0.9707000.000000
Trim. Skewness (40/500)-0.2040000.085400Trim. Kurtosis (40/500)-0.9728000.000000
 
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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