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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 14:59:36 +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/30/t129112905462oml9kzpi339xq.htm/, Retrieved Tue, 30 Nov 2010 15:57:34 +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/t129112905462oml9kzpi339xq.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 «
85.4 86.31 86.53 85.05 85.08 82.87 82.17 80.78 81.58 82.91 83.19 83.35 83.14 83.65 83.66 83.24 82.72 81.73 81.8 81.88 80.94 81.31 81.24 81.64 82.57 82.11 81.62 81.04 80.46 82 82.26 81.72 82.38 83 81.62 80.94 81.27 81.03 80.6 79.92 80.96 80.01 80.27 79.07 79.42 81.35 76.9 77.47 77.93 77.3 76.93 76.3 75.15 74.47 74.41 74.15 74.83 74.24 73.78 74.25 73.74 72.08 71.13 70.01 70.72 70.73 70.65 69.45 70.03 71.63 70.73 71.81 71.69 71.75 70.11 71.41 70.99 72.77 73.42 74.14 73.42 73.45 73.18 74.2 74.39 73.01 73.65 73.64 73.7 72.71 71.5 70.39 70.13 67.9 69.14 70.35 70.34 70.16 70.4 69.97 70.16 69.23 67.47 68.21 67.86 68.19 67.89 67.94 69.63 70.5 69.86 70.01 72.66 74.44 75.49 74.8 74.42 73.37 72.29 72.49
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.31.481208FISHER 4th Cent. Mom.1335.591368
FISHER beta 10.042778FISHER beta 21.643433
FISHER gamma 10.206828FISHER gamma 2-1.356567
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.924965FISHER Test 2-3.033375
FISHER Test 1 Probability0.352400FISHER Test 2 Probability0.002400
Pearson 20.883265
Yule using Quartile definition:
Weighted Average at Xnp
0.339147
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.345613
Yule using Quartile definition:
Empirical Distribution Function
0.339147
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.349562
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.353545
Yule using Quartile definition:
Closest Observation
0.339147
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.353545
Yule using Quartile definition:
MS Excel (old versions)
0.341699
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.209456Kurtosis (small sample)-1.363118
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.948285TEST 1 (small sample)-3.109794
TEST 1 Prob. (small sample)0.342200TEST 1 Prob. (small sample)0.001800
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.2095000.342200Trim. Kurtosis (0/120)-1.3631000.001800
Trim. Skewness (1/120)0.2024000.362800Trim. Kurtosis (1/120)-1.3995000.001600
Trim. Skewness (2/120)0.1922000.389800Trim. Kurtosis (2/120)-1.4372000.001200
Trim. Skewness (3/120)0.1911000.395400Trim. Kurtosis (3/120)-1.4598000.001200
Trim. Skewness (4/120)0.1927000.395400Trim. Kurtosis (4/120)-1.4827000.001000
Trim. Skewness (5/120)0.1937000.395400Trim. Kurtosis (5/120)-1.5133000.001000
Trim. Skewness (6/120)0.2057000.373400Trim. Kurtosis (6/120)-1.5206000.001000
Trim. Skewness (7/120)0.2189000.347200Trim. Kurtosis (7/120)-1.5316000.001000
Trim. Skewness (8/120)0.2260000.337000Trim. Kurtosis (8/120)-1.5300000.001200
Trim. Skewness (9/120)0.2336000.327000Trim. Kurtosis (9/120)-1.5279000.001200
Trim. Skewness (10/120)0.2402000.317400Trim. Kurtosis (10/120)-1.5248000.001400
Trim. Skewness (11/120)0.2459000.312400Trim. Kurtosis (11/120)-1.5211000.001600
Trim. Skewness (12/120)0.2510000.307800Trim. Kurtosis (12/120)-1.5153000.001800
Trim. Skewness (13/120)0.2560000.303000Trim. Kurtosis (13/120)-1.5086000.002200
Trim. Skewness (14/120)0.2611000.298400Trim. Kurtosis (14/120)-1.5021000.002600
Trim. Skewness (15/120)0.2677000.289200Trim. Kurtosis (15/120)-1.4947000.002800
Trim. Skewness (16/120)0.2757000.280200Trim. Kurtosis (16/120)-1.4859000.003400
Trim. Skewness (17/120)0.2851000.271400Trim. Kurtosis (17/120)-1.4746000.004200
Trim. Skewness (18/120)0.2961000.258400Trim. Kurtosis (18/120)-1.4621000.004800
Trim. Skewness (19/120)0.3085000.242000Trim. Kurtosis (19/120)-1.4485000.005800
Trim. Skewness (20/120)0.3226000.230200Trim. Kurtosis (20/120)-1.4346000.007000
Trim. Skewness (21/120)0.3368000.215000Trim. Kurtosis (21/120)-1.4175000.008200
Trim. Skewness (22/120)0.3535000.197000Trim. Kurtosis (22/120)-1.3986000.010200
Trim. Skewness (23/120)0.3723000.180200Trim. Kurtosis (23/120)-1.3779000.012400
Trim. Skewness (24/120)0.3939000.161600Trim. Kurtosis (24/120)-1.3557000.015000
Trim. Skewness (25/120)0.4165000.144200Trim. Kurtosis (25/120)-1.3318000.018200
Trim. Skewness (26/120)0.4400000.128600Trim. Kurtosis (26/120)-1.3039000.022600
Trim. Skewness (27/120)0.4654000.114200Trim. Kurtosis (27/120)-1.2738000.028600
Trim. Skewness (28/120)0.4940000.097000Trim. Kurtosis (28/120)-1.2432000.034800
Trim. Skewness (29/120)0.5275000.081800Trim. Kurtosis (29/120)-1.2119000.042400
Trim. Skewness (30/120)0.5626000.067200Trim. Kurtosis (30/120)-1.1688000.053600
Trim. Skewness (31/120)0.5997000.054800Trim. Kurtosis (31/120)-1.1197000.068800
Trim. Skewness (32/120)0.6349000.045600Trim. Kurtosis (32/120)-1.0622000.089200
Trim. Skewness (33/120)0.6726000.037600Trim. Kurtosis (33/120)-0.9982000.116400
Trim. Skewness (34/120)0.7157000.030000Trim. Kurtosis (34/120)-0.9178000.155600
Trim. Skewness (35/120)0.7631000.023200Trim. Kurtosis (35/120)-0.8272000.211200
Trim. Skewness (36/120)0.8173000.016800Trim. Kurtosis (36/120)-0.7218000.280200
Trim. Skewness (37/120)0.8780000.012000Trim. Kurtosis (37/120)-0.6038000.378800
Trim. Skewness (38/120)0.9337000.008800Trim. Kurtosis (38/120)-0.4793000.490200
Trim. Skewness (39/120)0.9907000.006600Trim. Kurtosis (39/120)-0.3329000.638400
Trim. Skewness (40/120)1.0493000.005000Trim. Kurtosis (40/120)-0.1590000.825800
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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