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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 18:00:24 +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/t1291053518rm6avldin8b97oj.htm/, Retrieved Mon, 29 Nov 2010 18:58:38 +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/t1291053518rm6avldin8b97oj.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 «
3295.886167 2283.200295 3313.874799 3347.527075 3327.314991 2734.79705 2876.921918 2964.529417 3210.643888 2948.08099 2939.382779 3598.77741 2667.055334 3395.463451 2982.611477 2775.879317 2965.134897 2947.284484 3255.512565 2807.052183 2966.431458 3185.814104 3284.282274 3150.905964 2991.0439 3014.327013 2816.694935 3069.6175 2864.297357 3000.511321 2813.653326 3044.897769 2726.0116 3143.221743 2807.526604 2872.737977 2963.111517 3153.165816 3034.811312 2817.94638 3268.358191 3111.983589 3330.168266 3004.57761 3219.474102 3136.47757 3147.671333 2708.471795 3249.123539 2653.385349 2886.439188 2981.369668 3256.375836 3409.792713 3252.681829 3309.668426 3177.515525 3208.354849 3202.129825 3359.35279 2937.605811 3259.307284 2885.61118 2767.731768 2756.916846 3235.648949 3438.418637 3079.156199 3180.418648 2918.268775 2769.932248 3032.074287 3153.114606 2976.108699 3279.944277 2559.893342 3255.80638 3046.041935 3225.353138 2642.102453 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-6.74357e+6FISHER 4th Cent. Mom.1.07780e+10
FISHER beta 10.166113FISHER beta 22.556356
FISHER gamma 1-0.407570FISHER gamma 2-0.443644
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.822709FISHER Test 2-0.992018
FISHER Test 1 Probability0.067200FISHER Test 2 Probability0.317400
Pearson 2-0.209081
Yule using Quartile definition:
Weighted Average at Xnp
-0.112565
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.085893
Yule using Quartile definition:
Empirical Distribution Function
-0.112565
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.064099
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.041097
Yule using Quartile definition:
Closest Observation
-0.112565
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.041097
Yule using Quartile definition:
MS Excel (old versions)
-0.106573
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.412748Kurtosis (small sample)-0.410983
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.868663TEST 1 (small sample)-0.937610
TEST 1 Prob. (small sample)0.061400TEST 1 Prob. (small sample)0.347200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.4127000.061400Trim. Kurtosis (0/120)-0.4110000.347200
Trim. Skewness (1/120)-0.3503000.114200Trim. Kurtosis (1/120)-0.8355000.057400
Trim. Skewness (2/120)-0.2810000.207600Trim. Kurtosis (2/120)-1.0447000.018800
Trim. Skewness (3/120)-0.2682000.234000Trim. Kurtosis (3/120)-1.0858000.015600
Trim. Skewness (4/120)-0.2519000.267000Trim. Kurtosis (4/120)-1.1265000.012800
Trim. Skewness (5/120)-0.2480000.280200Trim. Kurtosis (5/120)-1.1442000.012000
Trim. Skewness (6/120)-0.2480000.284600Trim. Kurtosis (6/120)-1.1550000.012000
Trim. Skewness (7/120)-0.2478000.289200Trim. Kurtosis (7/120)-1.1711000.011800
Trim. Skewness (8/120)-0.2476000.293800Trim. Kurtosis (8/120)-1.1919000.011000
Trim. Skewness (9/120)-0.2410000.312400Trim. Kurtosis (9/120)-1.2208000.009800
Trim. Skewness (10/120)-0.2300000.337000Trim. Kurtosis (10/120)-1.2483000.009000
Trim. Skewness (11/120)-0.2197000.362800Trim. Kurtosis (11/120)-1.2762000.008000
Trim. Skewness (12/120)-0.2206000.368200Trim. Kurtosis (12/120)-1.2797000.008600
Trim. Skewness (13/120)-0.2206000.373400Trim. Kurtosis (13/120)-1.2889000.008800
Trim. Skewness (14/120)-0.2202000.378800Trim. Kurtosis (14/120)-1.2901000.009400
Trim. Skewness (15/120)-0.2178000.389800Trim. Kurtosis (15/120)-1.2971000.009800
Trim. Skewness (16/120)-0.2135000.400800Trim. Kurtosis (16/120)-1.3019000.010200
Trim. Skewness (17/120)-0.2115000.412200Trim. Kurtosis (17/120)-1.3045000.011000
Trim. Skewness (18/120)-0.2108000.418000Trim. Kurtosis (18/120)-1.3078000.011800
Trim. Skewness (19/120)-0.2087000.429600Trim. Kurtosis (19/120)-1.3165000.012000
Trim. Skewness (20/120)-0.2090000.435400Trim. Kurtosis (20/120)-1.3241000.012800
Trim. Skewness (21/120)-0.2041000.453200Trim. Kurtosis (21/120)-1.3356000.012800
Trim. Skewness (22/120)-0.1949000.477600Trim. Kurtosis (22/120)-1.3483000.013200
Trim. Skewness (23/120)-0.1972000.477600Trim. Kurtosis (23/120)-1.3384000.015000
Trim. Skewness (24/120)-0.1951000.490200Trim. Kurtosis (24/120)-1.3297000.017400
Trim. Skewness (25/120)-0.1923000.496400Trim. Kurtosis (25/120)-1.3218000.019200
Trim. Skewness (26/120)-0.1845000.522200Trim. Kurtosis (26/120)-1.3159000.021400
Trim. Skewness (27/120)-0.1735000.555200Trim. Kurtosis (27/120)-1.3137000.023800
Trim. Skewness (28/120)-0.1581000.596200Trim. Kurtosis (28/120)-1.3211000.025000
Trim. Skewness (29/120)-0.1375000.645600Trim. Kurtosis (29/120)-1.3423000.025000
Trim. Skewness (30/120)-0.1077000.726400Trim. Kurtosis (30/120)-1.3890000.022000
Trim. Skewness (31/120)-0.1067000.726400Trim. Kurtosis (31/120)-1.3829000.025000
Trim. Skewness (32/120)-0.1032000.741400Trim. Kurtosis (32/120)-1.3826000.027200
Trim. Skewness (33/120)-0.1044000.741400Trim. Kurtosis (33/120)-1.3826000.030000
Trim. Skewness (34/120)-0.1022000.756600Trim. Kurtosis (34/120)-1.3969000.031600
Trim. Skewness (35/120)-0.0911000.779400Trim. Kurtosis (35/120)-1.4141000.032400
Trim. Skewness (36/120)-0.0823000.810400Trim. Kurtosis (36/120)-1.4349000.033200
Trim. Skewness (37/120)-0.0599000.857200Trim. Kurtosis (37/120)-1.4771000.031600
Trim. Skewness (38/120)-0.0206000.952200Trim. Kurtosis (38/120)-1.5568000.026400
Trim. Skewness (39/120)-0.0173000.960200Trim. Kurtosis (39/120)-1.5911000.025800
Trim. Skewness (40/120)-0.0267000.936200Trim. Kurtosis (40/120)-1.5975000.028600
 
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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