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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 18:50:37 +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/t12911429279jxi2t8b4oz8l4f.htm/, Retrieved Tue, 30 Nov 2010 19:48:47 +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/t12911429279jxi2t8b4oz8l4f.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 «
53,99 52,65 52,87 52,47 52,03 51,55 51,22 52,64 52,33 53,36 53,44 53,00 53,18 53,74 53,75 53,22 53,10 51,76 51,48 51,36 51,31 52,50 52,62 52,90 52,90 52,40 51,67 51,89 52,10 52,71 52,75 52,04 54,75 54,52 53,69 53,96 53,99 52,64 53,38 53,19 53,65 53,80 52,86 53,41 51,94 52,18 52,00 52,21 51,54 51,17 51,69 51,63 51,62 50,92 50,32 49,70 48,78 49,36 48,97 47,18 45,27 45,09 45,96 45,49 45,90 46,27 47,51 48,01 47,82 49,64 49,93 48,13 48,16 48,46 48,44 50,66 51,37 51,16 51,22 51,11 50,14 50,01 49,08 48,97 48,88 49,13 49,95 49,36 48,87 47,49 48,25 47,69 47,66 49,78 50,80 50,44 52,62 52,07 51,20 50,21 48,83 49,22 49,82 50,19 50,49 52,18 52,25 52,02 53,38 52,82 54,72 54,67 54,20 53,68 53,46 52,00 51,71 51,50 49,16 49,03
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-7.517139FISHER 4th Cent. Mom.71.538938
FISHER beta 10.434312FISHER beta 22.786167
FISHER gamma 1-0.659024FISHER gamma 2-0.213833
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-2.947244FISHER Test 2-0.478144
FISHER Test 1 Probability0.003200FISHER Test 2 Probability0.631200
Pearson 2-0.671207
Yule using Quartile definition:
Weighted Average at Xnp
-0.312684
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.292665
Yule using Quartile definition:
Empirical Distribution Function
-0.312684
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.299270
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.305943
Yule using Quartile definition:
Closest Observation
-0.312684
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.305943
Yule using Quartile definition:
MS Excel (old versions)
-0.286127
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.667395Kurtosis (small sample)-0.171301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-3.021550TEST 1 (small sample)-0.390802
TEST 1 Prob. (small sample)0.002400TEST 1 Prob. (small sample)0.689200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.6674000.002400Trim. Kurtosis (0/120)-0.1713000.689200
Trim. Skewness (1/120)-0.6413000.004000Trim. Kurtosis (1/120)-0.2471000.575400
Trim. Skewness (2/120)-0.6114000.006400Trim. Kurtosis (2/120)-0.3492000.429600
Trim. Skewness (3/120)-0.5789000.010400Trim. Kurtosis (3/120)-0.4755000.289200
Trim. Skewness (4/120)-0.5528000.015600Trim. Kurtosis (4/120)-0.5791000.200600
Trim. Skewness (5/120)-0.5042000.028600Trim. Kurtosis (5/120)-0.7352000.107400
Trim. Skewness (6/120)-0.4527000.051200Trim. Kurtosis (6/120)-0.8890000.053600
Trim. Skewness (7/120)-0.4447000.057400Trim. Kurtosis (7/120)-0.9148000.048800
Trim. Skewness (8/120)-0.4463000.058800Trim. Kurtosis (8/120)-0.9191000.050000
Trim. Skewness (9/120)-0.4407000.064400Trim. Kurtosis (9/120)-0.9313000.048800
Trim. Skewness (10/120)-0.4370000.068800Trim. Kurtosis (10/120)-0.9386000.048800
Trim. Skewness (11/120)-0.4308000.076800Trim. Kurtosis (11/120)-0.9573000.046600
Trim. Skewness (12/120)-0.4257000.083600Trim. Kurtosis (12/120)-0.9746000.045600
Trim. Skewness (13/120)-0.4271000.085400Trim. Kurtosis (13/120)-0.9821000.045600
Trim. Skewness (14/120)-0.4314000.085400Trim. Kurtosis (14/120)-0.9873000.046600
Trim. Skewness (15/120)-0.4263000.093000Trim. Kurtosis (15/120)-0.9977000.046600
Trim. Skewness (16/120)-0.4218000.099000Trim. Kurtosis (16/120)-1.0106000.046600
Trim. Skewness (17/120)-0.4240000.101000Trim. Kurtosis (17/120)-1.0095000.048800
Trim. Skewness (18/120)-0.4232000.105200Trim. Kurtosis (18/120)-1.0190000.048800
Trim. Skewness (19/120)-0.4397000.097000Trim. Kurtosis (19/120)-0.9971000.057400
Trim. Skewness (20/120)-0.4590000.087200Trim. Kurtosis (20/120)-0.9746000.065800
Trim. Skewness (21/120)-0.4730000.081800Trim. Kurtosis (21/120)-0.9473000.076800
Trim. Skewness (22/120)-0.4858000.076800Trim. Kurtosis (22/120)-0.9244000.089200
Trim. Skewness (23/120)-0.5039000.070200Trim. Kurtosis (23/120)-0.8958000.103200
Trim. Skewness (24/120)-0.5163000.067200Trim. Kurtosis (24/120)-0.8735000.116400
Trim. Skewness (25/120)-0.5245000.067200Trim. Kurtosis (25/120)-0.8486000.133600
Trim. Skewness (26/120)-0.5266000.068800Trim. Kurtosis (26/120)-0.8245000.149800
Trim. Skewness (27/120)-0.5284000.071800Trim. Kurtosis (27/120)-0.8051000.164600
Trim. Skewness (28/120)-0.5245000.078400Trim. Kurtosis (28/120)-0.8009000.173800
Trim. Skewness (29/120)-0.5183000.087200Trim. Kurtosis (29/120)-0.8110000.173800
Trim. Skewness (30/120)-0.5181000.093000Trim. Kurtosis (30/120)-0.8057000.183600
Trim. Skewness (31/120)-0.4986000.111800Trim. Kurtosis (31/120)-0.8459000.170600
Trim. Skewness (32/120)-0.5074000.109600Trim. Kurtosis (32/120)-0.8092000.197000
Trim. Skewness (33/120)-0.5125000.114200Trim. Kurtosis (33/120)-0.7686000.226200
Trim. Skewness (34/120)-0.5230000.111800Trim. Kurtosis (34/120)-0.7173000.267000
Trim. Skewness (35/120)-0.5350000.111800Trim. Kurtosis (35/120)-0.6739000.307800
Trim. Skewness (36/120)-0.5610000.101000Trim. Kurtosis (36/120)-0.6048000.368200
Trim. Skewness (37/120)-0.5902000.091000Trim. Kurtosis (37/120)-0.5614000.412200
Trim. Skewness (38/120)-0.5990000.093000Trim. Kurtosis (38/120)-0.5228000.453200
Trim. Skewness (39/120)-0.6281000.085400Trim. Kurtosis (39/120)-0.4376000.535200
Trim. Skewness (40/120)-0.6436000.083600Trim. Kurtosis (40/120)-0.3585000.624200
 
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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