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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 19:23:46 +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/t1291058529ofr1lmyns0wo60z.htm/, Retrieved Mon, 29 Nov 2010 20:22:09 +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/t1291058529ofr1lmyns0wo60z.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 «
46634.9545 48890.69566 56187.62317 47873.06473 48199.49748 63618.94495 37453.0978 52708.68402 46401.06003 43607.88738 50406.7638 42913.3023 47614.26786 57673.74962 37485.02509 71758.2901 35414.3513 37164.9896 52736.69229 56413.97069 48379.09297 39632.48 60721.19436 29156.96519 62544.94919 49501.07775 40081.81909 33871.9276 32799.06186 36512.48991 57706.50164 49789.16051 34724.79414 37884.55355 44828.32543 49498.13896 32874.4383 45201.80729 39319.52219 30586.06149 39656.3196 43272.97168 30865.69604 36994.89156 46568.82267 41534.95346 42532.58215 39903.22614 64580.53031 44237.82975 51126.22013 42236.05173 47610.69391 37716.57771 62760.37891 32073.8819 19266.70224 35146.1995 32743.85471 57992.93555 60012.20532 54197.86033 56335.02349 39221.88993 30542.98736 41735.6714 58123.66322 41437.56435 46942.43412 26363.08571 32172.81138 48666.69053 55453.74225 31376.06393 50746.53413 42364.49439 66617.15498 38772.76044 45392.94912 36312.24433 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.1.95382e+9FISHER 4th Cent. Mom.2.62014e+16
FISHER beta 10.000004FISHER beta 22.786570
FISHER gamma 10.002046FISHER gamma 2-0.213430
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 10.018679FISHER Test 2-0.974170
FISHER Test 1 Probability0.984000FISHER Test 2 Probability0.327000
Pearson 20.054612
Yule using Quartile definition:
Weighted Average at Xnp
-0.011926
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.003334
Yule using Quartile definition:
Empirical Distribution Function
-0.011926
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.005498
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.007677
Yule using Quartile definition:
Closest Observation
-0.011926
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.007677
Yule using Quartile definition:
MS Excel (old versions)
-0.001182
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.002052Kurtosis (small sample)-0.203483
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)0.018791TEST 1 (small sample)-0.933382
TEST 1 Prob. (small sample)0.984000TEST 1 Prob. (small sample)0.347200
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.0021000.984000Trim. Kurtosis (0/500)-0.2035000.347200
Trim. Skewness (1/500)0.0067000.944200Trim. Kurtosis (1/500)-0.2787000.200600
Trim. Skewness (2/500)0.0117000.912400Trim. Kurtosis (2/500)-0.3357000.123600
Trim. Skewness (3/500)0.0242000.818000Trim. Kurtosis (3/500)-0.3781000.083600
Trim. Skewness (4/500)0.0285000.794800Trim. Kurtosis (4/500)-0.4028000.065800
Trim. Skewness (5/500)0.0325000.764200Trim. Kurtosis (5/500)-0.4291000.051200
Trim. Skewness (6/500)0.0359000.741400Trim. Kurtosis (6/500)-0.4524000.039400
Trim. Skewness (7/500)0.0399000.711400Trim. Kurtosis (7/500)-0.4749000.031600
Trim. Skewness (8/500)0.0460000.674400Trim. Kurtosis (8/500)-0.4972000.024400
Trim. Skewness (9/500)0.0500000.652800Trim. Kurtosis (9/500)-0.5145000.020400
Trim. Skewness (10/500)0.0541000.624200Trim. Kurtosis (10/500)-0.5340000.016000
Trim. Skewness (11/500)0.0583000.596200Trim. Kurtosis (11/500)-0.5544000.012800
Trim. Skewness (12/500)0.0618000.575400Trim. Kurtosis (12/500)-0.5704000.010400
Trim. Skewness (13/500)0.0639000.562000Trim. Kurtosis (13/500)-0.5836000.009000
Trim. Skewness (14/500)0.0666000.548400Trim. Kurtosis (14/500)-0.5979000.007600
Trim. Skewness (15/500)0.0689000.535200Trim. Kurtosis (15/500)-0.6138000.006200
Trim. Skewness (16/500)0.0715000.522200Trim. Kurtosis (16/500)-0.6296000.005200
Trim. Skewness (17/500)0.0745000.509200Trim. Kurtosis (17/500)-0.6473000.004200
Trim. Skewness (18/500)0.0763000.496400Trim. Kurtosis (18/500)-0.6649000.003200
Trim. Skewness (19/500)0.0761000.502800Trim. Kurtosis (19/500)-0.6792000.002600
Trim. Skewness (20/500)0.0762000.502800Trim. Kurtosis (20/500)-0.6950000.002200
Trim. Skewness (21/500)0.0762000.502800Trim. Kurtosis (21/500)-0.7114000.001800
Trim. Skewness (22/500)0.0759000.502800Trim. Kurtosis (22/500)-0.7293000.001400
Trim. Skewness (23/500)0.0735000.515600Trim. Kurtosis (23/500)-0.7457000.001000
Trim. Skewness (24/500)0.0700000.541800Trim. Kurtosis (24/500)-0.7625000.000800
Trim. Skewness (25/500)0.0688000.548400Trim. Kurtosis (25/500)-0.7755000.000800
Trim. Skewness (26/500)0.0680000.555200Trim. Kurtosis (26/500)-0.7889000.000600
Trim. Skewness (27/500)0.0675000.555200Trim. Kurtosis (27/500)-0.7996000.000600
Trim. Skewness (28/500)0.0682000.555200Trim. Kurtosis (28/500)-0.8084000.000400
Trim. Skewness (29/500)0.0693000.548400Trim. Kurtosis (29/500)-0.8151000.000400
Trim. Skewness (30/500)0.0708000.541800Trim. Kurtosis (30/500)-0.8208000.000400
Trim. Skewness (31/500)0.0719000.535200Trim. Kurtosis (31/500)-0.8266000.000400
Trim. Skewness (32/500)0.0725000.528600Trim. Kurtosis (32/500)-0.8321000.000400
Trim. Skewness (33/500)0.0737000.528600Trim. Kurtosis (33/500)-0.8375000.000400
Trim. Skewness (34/500)0.0748000.522200Trim. Kurtosis (34/500)-0.8441000.000400
Trim. Skewness (35/500)0.0759000.515600Trim. Kurtosis (35/500)-0.8518000.000200
Trim. Skewness (36/500)0.0774000.509200Trim. Kurtosis (36/500)-0.8599000.000200
Trim. Skewness (37/500)0.0787000.502800Trim. Kurtosis (37/500)-0.8687000.000200
Trim. Skewness (38/500)0.0801000.496400Trim. Kurtosis (38/500)-0.8788000.000200
Trim. Skewness (39/500)0.0815000.490200Trim. Kurtosis (39/500)-0.8899000.000200
Trim. Skewness (40/500)0.0827000.484000Trim. Kurtosis (40/500)-0.9018000.000200
 
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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