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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 16:58:40 +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/t12911362189vv8zxpmfn34m4g.htm/, Retrieved Tue, 30 Nov 2010 17:56:58 +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/30/t12911362189vv8zxpmfn34m4g.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 «
-0.077492991 0.066607316 -0.038437211 0.037466236 0.009844065 -0.057395436 0.006102379 0.014001741 -0.02244631 -0.016059587 0.071835701 -0.081998747 -0.008494518 0.062621406 0.014575972 -0.044745821 0.017265482 -0.020354717 0.021454248 0.033260016 0.004671947 -0.024380359 -0.027316554 0.010364945 0.032235328 -0.019152787 -0.000338498 -0.02681962 0.039057809 0.024094384 -0.044544775 -0.05662363 0.055977044 0.002215794 0.003332074 -0.03590648 0.031056987 0.016482061 -0.030180108 -0.036684871 0.063199788 0.037207188 -0.012115007 -0.068119939 0.035290665 -0.003284052 0.000298017 -0.054473684 0.046779996 -0.018113798 0.040878093 -0.006340557 -0.033717059 0.025039619 0.011449294 0.003400043 0.001696467 -0.007484504 0.010568292 -0.029681699 -0.01432441 0.018365496 -0.009178624 0.012686755 -0.008323851 0.011807384 -0.012264656 0.052423076 -0.026879375 -0.0290979 0.015763689 -0.033774586 0.042334213 -0.053021383 0.065852222 -0.058023234 0.0126 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.0.000012FISHER 4th Cent. Mom.0.000005
FISHER beta 10.055694FISHER beta 22.939334
FISHER gamma 10.235995FISHER gamma 2-0.060666
FISHER gamma 1 (S.E.)0.109654FISHER gamma 2 (S.E.)0.219308
FISHER Test 12.152175FISHER Test 2-0.276625
FISHER Test 1 Probability0.030800FISHER Test 2 Probability0.779400
Pearson 20.117300
Yule using Quartile definition:
Weighted Average at Xnp
-0.002799
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.001743
Yule using Quartile definition:
Empirical Distribution Function
-0.001743
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.001743
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.000832
Yule using Quartile definition:
Closest Observation
-0.002795
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.001743
Yule using Quartile definition:
MS Excel (old versions)
-0.001743
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.236707Kurtosis (small sample)-0.049157
Skewness S.E. (small sample)0.109327Kurtosis S.E. (small sample)0.218222
TEST 1 (small sample)2.165140TEST 1 (small sample)-0.225263
TEST 1 Prob. (small sample)0.030000TEST 1 Prob. (small sample)0.818000
Observations499



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/499)0.2367000.030000Trim. Kurtosis (0/499)-0.0492000.818000
Trim. Skewness (1/499)0.2050000.060200Trim. Kurtosis (1/499)-0.1957000.368200
Trim. Skewness (2/499)0.1833000.093000Trim. Kurtosis (2/499)-0.2892000.183600
Trim. Skewness (3/499)0.1786000.103200Trim. Kurtosis (3/499)-0.3219000.141600
Trim. Skewness (4/499)0.1766000.107400Trim. Kurtosis (4/499)-0.3415000.118800
Trim. Skewness (5/499)0.1747000.111800Trim. Kurtosis (5/499)-0.3633000.099000
Trim. Skewness (6/499)0.1716000.118800Trim. Kurtosis (6/499)-0.3867000.078400
Trim. Skewness (7/499)0.1658000.133600Trim. Kurtosis (7/499)-0.4076000.064400
Trim. Skewness (8/499)0.1643000.138800Trim. Kurtosis (8/499)-0.4198000.057400
Trim. Skewness (9/499)0.1620000.144200Trim. Kurtosis (9/499)-0.4334000.050000
Trim. Skewness (10/499)0.1596000.149800Trim. Kurtosis (10/499)-0.4491000.043400
Trim. Skewness (11/499)0.1585000.155600Trim. Kurtosis (11/499)-0.4596000.039400
Trim. Skewness (12/499)0.1567000.161600Trim. Kurtosis (12/499)-0.4664000.036600
Trim. Skewness (13/499)0.1551000.164600Trim. Kurtosis (13/499)-0.4732000.034000
Trim. Skewness (14/499)0.1535000.170600Trim. Kurtosis (14/499)-0.4817000.031600
Trim. Skewness (15/499)0.1534000.170600Trim. Kurtosis (15/499)-0.4884000.029200
Trim. Skewness (16/499)0.1537000.170600Trim. Kurtosis (16/499)-0.4954000.027800
Trim. Skewness (17/499)0.1537000.173800Trim. Kurtosis (17/499)-0.5039000.025800
Trim. Skewness (18/499)0.1532000.173800Trim. Kurtosis (18/499)-0.5116000.023800
Trim. Skewness (19/499)0.1530000.177000Trim. Kurtosis (19/499)-0.5197000.022000
Trim. Skewness (20/499)0.1517000.180200Trim. Kurtosis (20/499)-0.5274000.020400
Trim. Skewness (21/499)0.1512000.183600Trim. Kurtosis (21/499)-0.5349000.018800
Trim. Skewness (22/499)0.1507000.186800Trim. Kurtosis (22/499)-0.5419000.017400
Trim. Skewness (23/499)0.1496000.190200Trim. Kurtosis (23/499)-0.5498000.016000
Trim. Skewness (24/499)0.1482000.197000Trim. Kurtosis (24/499)-0.5588000.014600
Trim. Skewness (25/499)0.1462000.204000Trim. Kurtosis (25/499)-0.5685000.013200
Trim. Skewness (26/499)0.1437000.211200Trim. Kurtosis (26/499)-0.5770000.012000
Trim. Skewness (27/499)0.1410000.222400Trim. Kurtosis (27/499)-0.5858000.011000
Trim. Skewness (28/499)0.1378000.234000Trim. Kurtosis (28/499)-0.5957000.009800
Trim. Skewness (29/499)0.1346000.246000Trim. Kurtosis (29/499)-0.6051000.009000
Trim. Skewness (30/499)0.1307000.258400Trim. Kurtosis (30/499)-0.6162000.007800
Trim. Skewness (31/499)0.1275000.271400Trim. Kurtosis (31/499)-0.6267000.007200
Trim. Skewness (32/499)0.1244000.284600Trim. Kurtosis (32/499)-0.6378000.006200
Trim. Skewness (33/499)0.1216000.298400Trim. Kurtosis (33/499)-0.6498000.005400
Trim. Skewness (34/499)0.1181000.312400Trim. Kurtosis (34/499)-0.6637000.004600
Trim. Skewness (35/499)0.1147000.327000Trim. Kurtosis (35/499)-0.6788000.003800
Trim. Skewness (36/499)0.1101000.347200Trim. Kurtosis (36/499)-0.6948000.003200
Trim. Skewness (37/499)0.1064000.368200Trim. Kurtosis (37/499)-0.7079000.002600
Trim. Skewness (38/499)0.1020000.389800Trim. Kurtosis (38/499)-0.7224000.002200
Trim. Skewness (39/499)0.0972000.412200Trim. Kurtosis (39/499)-0.7379000.001800
Trim. Skewness (40/499)0.0929000.435400Trim. Kurtosis (40/499)-0.7525000.001600
 
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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