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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 18:11:36 +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/t1291054198s1llni67tk4k7s1.htm/, Retrieved Mon, 29 Nov 2010 19:09:58 +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/t1291054198s1llni67tk4k7s1.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 «
5225.069237 5289.851087 5605.310689 4751.553815 5397.662664 5422.976587 5845.269776 5172.829777 5004.217793 4946.968331 5176.930502 5054.644986 5278.344741 5175.435086 5092.552319 5389.49528 5823.803012 4888.874101 4421.589837 5154.392494 4835.837469 5353.049354 5790.831038 4933.550645 5030.303247 4836.313697 5262.529054 5212.203086 5639.399352 5394.176777 5346.734808 4780.624281 5030.320589 5239.877589 5498.691753 4532.775319 5705.463611 5591.239251 4941.656211 5199.408072 5022.898742 4871.3995 4813.480506 5254.394415 4289.628852 4805.172894 5644.026663 5346.019091 4830.503729 4824.942787 5172.002404 4748.580103 4908.775732 4883.249485 4705.534698 5344.87043 5686.582864 5555.553123 4706.695722 5105.912279 5028.0025 5528.005097 4823.655422 5653.73704 4887.655097 5313.455929 5162.675639 5412.103142 4674.652163 5623.474641 5354.309745 5652.314004 4890.00612 5484.994458 5312.854953 4606.970869 5640.499292 5420.686522 5300.529208 5168. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-3.70801e+6FISHER 4th Cent. Mom.2.81422e+10
FISHER beta 10.010159FISHER beta 22.299988
FISHER gamma 1-0.100790FISHER gamma 2-0.700012
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.450746FISHER Test 2-1.565275
FISHER Test 1 Probability0.645600FISHER Test 2 Probability0.116400
Pearson 2-0.064979
Yule using Quartile definition:
Weighted Average at Xnp
-0.131464
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.107414
Yule using Quartile definition:
Empirical Distribution Function
-0.131464
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.114626
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.121949
Yule using Quartile definition:
Closest Observation
-0.131464
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.121949
Yule using Quartile definition:
MS Excel (old versions)
-0.100310
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.102070Kurtosis (small sample)-0.678363
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.462110TEST 1 (small sample)-1.547606
TEST 1 Prob. (small sample)0.638400TEST 1 Prob. (small sample)0.121200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1021000.638400Trim. Kurtosis (0/120)-0.6784000.121200
Trim. Skewness (1/120)-0.0360000.865000Trim. Kurtosis (1/120)-0.8955000.042400
Trim. Skewness (2/120)-0.0066000.976000Trim. Kurtosis (2/120)-1.0239000.021400
Trim. Skewness (3/120)-0.0015000.992000Trim. Kurtosis (3/120)-1.0900000.015000
Trim. Skewness (4/120)0.0266000.904400Trim. Kurtosis (4/120)-1.1488000.011000
Trim. Skewness (5/120)0.0377000.865000Trim. Kurtosis (5/120)-1.1810000.009600
Trim. Skewness (6/120)0.0403000.857200Trim. Kurtosis (6/120)-1.1948000.009400
Trim. Skewness (7/120)0.0458000.841400Trim. Kurtosis (7/120)-1.2040000.009600
Trim. Skewness (8/120)0.0465000.841400Trim. Kurtosis (8/120)-1.2074000.009800
Trim. Skewness (9/120)0.0471000.841400Trim. Kurtosis (9/120)-1.2174000.010200
Trim. Skewness (10/120)0.0448000.849200Trim. Kurtosis (10/120)-1.2260000.010200
Trim. Skewness (11/120)0.0371000.872800Trim. Kurtosis (11/120)-1.2345000.010400
Trim. Skewness (12/120)0.0269000.912400Trim. Kurtosis (12/120)-1.2514000.010200
Trim. Skewness (13/120)0.0113000.960200Trim. Kurtosis (13/120)-1.2634000.010200
Trim. Skewness (14/120)-0.0123000.960200Trim. Kurtosis (14/120)-1.2783000.010200
Trim. Skewness (15/120)-0.0344000.888600Trim. Kurtosis (15/120)-1.2912000.010200
Trim. Skewness (16/120)-0.0575000.818000Trim. Kurtosis (16/120)-1.3033000.010200
Trim. Skewness (17/120)-0.0788000.756600Trim. Kurtosis (17/120)-1.3088000.010800
Trim. Skewness (18/120)-0.0992000.704000Trim. Kurtosis (18/120)-1.3136000.011400
Trim. Skewness (19/120)-0.1162000.660000Trim. Kurtosis (19/120)-1.3138000.012400
Trim. Skewness (20/120)-0.1339000.617000Trim. Kurtosis (20/120)-1.3165000.013200
Trim. Skewness (21/120)-0.1511000.575400Trim. Kurtosis (21/120)-1.3200000.013800
Trim. Skewness (22/120)-0.1648000.548400Trim. Kurtosis (22/120)-1.3200000.015000
Trim. Skewness (23/120)-0.1823000.509200Trim. Kurtosis (23/120)-1.3252000.016000
Trim. Skewness (24/120)-0.2020000.471600Trim. Kurtosis (24/120)-1.3402000.016400
Trim. Skewness (25/120)-0.2248000.429600Trim. Kurtosis (25/120)-1.3569000.016400
Trim. Skewness (26/120)-0.2278000.429600Trim. Kurtosis (26/120)-1.3494000.018200
Trim. Skewness (27/120)-0.2294000.435400Trim. Kurtosis (27/120)-1.3475000.020400
Trim. Skewness (28/120)-0.2355000.429600Trim. Kurtosis (28/120)-1.3380000.023200
Trim. Skewness (29/120)-0.2459000.418000Trim. Kurtosis (29/120)-1.3247000.026400
Trim. Skewness (30/120)-0.2549000.406600Trim. Kurtosis (30/120)-1.3100000.030800
Trim. Skewness (31/120)-0.2571000.412200Trim. Kurtosis (31/120)-1.2954000.035800
Trim. Skewness (32/120)-0.2558000.418000Trim. Kurtosis (32/120)-1.2874000.040400
Trim. Skewness (33/120)-0.2571000.423800Trim. Kurtosis (33/120)-1.2795000.044400
Trim. Skewness (34/120)-0.2599000.429600Trim. Kurtosis (34/120)-1.2704000.050000
Trim. Skewness (35/120)-0.2699000.418000Trim. Kurtosis (35/120)-1.2519000.057400
Trim. Skewness (36/120)-0.2868000.400800Trim. Kurtosis (36/120)-1.2312000.067200
Trim. Skewness (37/120)-0.2967000.395400Trim. Kurtosis (37/120)-1.2157000.076800
Trim. Skewness (38/120)-0.2930000.412200Trim. Kurtosis (38/120)-1.1931000.087200
Trim. Skewness (39/120)-0.2861000.429600Trim. Kurtosis (39/120)-1.1788000.099000
Trim. Skewness (40/120)-0.2924000.429600Trim. Kurtosis (40/120)-1.1382000.118800
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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