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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: Tue, 30 Nov 2010 14:57:03 +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/30/t1291128904s5z7vc9h2bmu5uk.htm/, Retrieved Tue, 30 Nov 2010 15:55:04 +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/30/t1291128904s5z7vc9h2bmu5uk.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 «
41.07 41.25 41.76 41.61 42.64 42.3 42.26 41.64 42.06 41.99 42.19 42.5 42.82 44.54 45.41 43.19 44.06 42.18 42.1 41.94 41.95 42 41.86 40.84 41.95 41.92 41.79 41.33 41.8 41.63 42.3 42.72 41.97 40.86 41.16 40.75 40.61 39.81 39.47 38.81 38.99 39.95 37.24 37.27 36.9 35.54 35.51 36.5 36.66 35.65 35.86 36.12 36.12 36.84 36.96 36.25 36.9 35.55 36.47 36.7 36.52 35.56 34.69 33.84 35.15 34.23 33.82 34.52 34.64 35.27 35.23 36.84 36.37 36.59 36.31 37.2 37.08 39.12 41.03 40.92 40.52 39.78 39.87 40.05 39.1 38.33 39.39 38.9 38.84 36.67 36.46 35.95 36.67 34.72 35.72 36.69 37.51 37.61 36.56 35.72 35.49 35.67 33.84 33.71 33.1 34.09 34.41 34.53 35.62 37.23 36.92 37.7 38.02 38.57 38.37 37.77 38.04 37.43 37.27 35.22
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.5.724462FISHER 4th Cent. Mom.137.236179
FISHER beta 10.053134FISHER beta 21.894100
FISHER gamma 10.230508FISHER gamma 2-1.105900
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.030862FISHER Test 2-2.472867
FISHER Test 1 Probability0.298400FISHER Test 2 Probability0.013200
Pearson 20.797076
Yule using Quartile definition:
Weighted Average at Xnp
0.401559
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.408478
Yule using Quartile definition:
Empirical Distribution Function
0.401559
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.406190
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.403883
Yule using Quartile definition:
Closest Observation
0.401559
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.403883
Yule using Quartile definition:
MS Excel (old versions)
0.410749
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.233436Kurtosis (small sample)-1.101684
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.056852TEST 1 (small sample)-2.513364
TEST 1 Prob. (small sample)0.289200TEST 1 Prob. (small sample)0.011800
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2334000.289200Trim. Kurtosis (0/120)-1.1017000.011800
Trim. Skewness (1/120)0.2042000.357600Trim. Kurtosis (1/120)-1.2389000.005000
Trim. Skewness (2/120)0.1850000.406600Trim. Kurtosis (2/120)-1.3080000.003200
Trim. Skewness (3/120)0.1738000.441200Trim. Kurtosis (3/120)-1.3593000.002400
Trim. Skewness (4/120)0.1818000.423800Trim. Kurtosis (4/120)-1.3768000.002400
Trim. Skewness (5/120)0.1977000.389800Trim. Kurtosis (5/120)-1.3897000.002200
Trim. Skewness (6/120)0.2113000.362800Trim. Kurtosis (6/120)-1.3970000.002400
Trim. Skewness (7/120)0.2245000.337000Trim. Kurtosis (7/120)-1.4025000.002600
Trim. Skewness (8/120)0.2374000.312400Trim. Kurtosis (8/120)-1.4029000.002800
Trim. Skewness (9/120)0.2522000.289200Trim. Kurtosis (9/120)-1.3987000.003000
Trim. Skewness (10/120)0.2687000.262800Trim. Kurtosis (10/120)-1.3967000.003400
Trim. Skewness (11/120)0.2851000.242000Trim. Kurtosis (11/120)-1.3934000.003800
Trim. Skewness (12/120)0.3032000.215000Trim. Kurtosis (12/120)-1.3896000.004400
Trim. Skewness (13/120)0.3231000.193600Trim. Kurtosis (13/120)-1.3878000.004800
Trim. Skewness (14/120)0.3354000.180200Trim. Kurtosis (14/120)-1.3751000.005600
Trim. Skewness (15/120)0.3479000.170600Trim. Kurtosis (15/120)-1.3609000.006800
Trim. Skewness (16/120)0.3622000.155600Trim. Kurtosis (16/120)-1.3456000.008000
Trim. Skewness (17/120)0.3771000.144200Trim. Kurtosis (17/120)-1.3300000.009600
Trim. Skewness (18/120)0.3882000.138800Trim. Kurtosis (18/120)-1.3109000.011400
Trim. Skewness (19/120)0.3998000.131000Trim. Kurtosis (19/120)-1.2913000.013800
Trim. Skewness (20/120)0.4112000.126000Trim. Kurtosis (20/120)-1.2722000.016400
Trim. Skewness (21/120)0.4229000.118800Trim. Kurtosis (21/120)-1.2543000.019200
Trim. Skewness (22/120)0.4351000.114200Trim. Kurtosis (22/120)-1.2378000.022600
Trim. Skewness (23/120)0.4476000.107400Trim. Kurtosis (23/120)-1.2200000.026400
Trim. Skewness (24/120)0.4614000.101000Trim. Kurtosis (24/120)-1.2014000.031600
Trim. Skewness (25/120)0.4749000.097000Trim. Kurtosis (25/120)-1.1869000.035800
Trim. Skewness (26/120)0.4874000.093000Trim. Kurtosis (26/120)-1.1766000.040400
Trim. Skewness (27/120)0.5050000.085400Trim. Kurtosis (27/120)-1.1637000.045600
Trim. Skewness (28/120)0.5165000.083600Trim. Kurtosis (28/120)-1.1576000.048800
Trim. Skewness (29/120)0.5224000.085400Trim. Kurtosis (29/120)-1.1639000.051200
Trim. Skewness (30/120)0.5336000.083600Trim. Kurtosis (30/120)-1.1425000.060200
Trim. Skewness (31/120)0.5473000.080200Trim. Kurtosis (31/120)-1.1200000.068800
Trim. Skewness (32/120)0.5581000.080200Trim. Kurtosis (32/120)-1.0933000.080200
Trim. Skewness (33/120)0.5686000.078400Trim. Kurtosis (33/120)-1.0625000.095000
Trim. Skewness (34/120)0.5747000.081800Trim. Kurtosis (34/120)-1.0377000.109600
Trim. Skewness (35/120)0.5789000.085400Trim. Kurtosis (35/120)-1.0078000.126000
Trim. Skewness (36/120)0.5796000.091000Trim. Kurtosis (36/120)-0.9847000.141600
Trim. Skewness (37/120)0.5684000.103200Trim. Kurtosis (37/120)-0.9922000.147000
Trim. Skewness (38/120)0.5482000.123600Trim. Kurtosis (38/120)-1.0267000.141600
Trim. Skewness (39/120)0.5212000.152800Trim. Kurtosis (39/120)-1.0808000.131000
Trim. Skewness (40/120)0.4745000.204000Trim. Kurtosis (40/120)-1.2017000.099000
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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