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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 18:02:07 +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/t1291053621r9tz4v6i8dryfnj.htm/, Retrieved Mon, 29 Nov 2010 19:00:21 +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/t1291053621r9tz4v6i8dryfnj.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 «
1327.619052 1686.496762 1662.475254 1800.071834 1702.313561 1518.151955 1493.447337 1562.919887 1581.851036 1425.049312 1394.532679 1559.445392 1713.490564 1588.659834 1564.521567 1687.86876 1647.826599 1449.278604 1561.406528 1254.012828 1541.188584 1381.928464 1584.082876 1589.116042 1450.339152 1427.639218 1572.788252 1503.673072 1715.64309 1720.072988 1474.032152 1548.871918 1690.291695 1424.61192 1524.961604 1636.468704 1330.706199 1422.806932 1416.401775 1525.116387 1480.316249 1557.288199 1364.707425 1413.141177 1328.248114 1655.783547 1561.103488 1526.172752 1402.130368 1239.346515 1653.821719 1351.734043 1638.701443 1761.919798 1344.280413 1454.487221 1389.097005 1367.698185 1404.748283 1630.653709 1435.005675 1510.796476 1645.724532 1450.856946 1194.791332 1587.085219 1327.661175 1558.554881 1811.047121 1403.733621 1587.516529 1734.428192 1375.25057 1413.81228 1435.748606 1318.970228 1498.5162 1440.586402 1321.31 1614.619 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.370004.113835FISHER 4th Cent. Mom.7.77014e+8
FISHER beta 10.024251FISHER beta 22.450800
FISHER gamma 10.155728FISHER gamma 2-0.549200
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 10.696435FISHER Test 2-1.228049
FISHER Test 1 Probability0.484000FISHER Test 2 Probability0.218600
Pearson 20.238219
Yule using Quartile definition:
Weighted Average at Xnp
0.046576
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.050800
Yule using Quartile definition:
Empirical Distribution Function
0.046576
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.051322
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.051846
Yule using Quartile definition:
Closest Observation
0.046576
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.051846
Yule using Quartile definition:
MS Excel (old versions)
0.050280
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.157706Kurtosis (small sample)-0.521073
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)0.713994TEST 1 (small sample)-1.188767
TEST 1 Prob. (small sample)0.471600TEST 1 Prob. (small sample)0.234000
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.1577000.471600Trim. Kurtosis (0/120)-0.5211000.234000
Trim. Skewness (1/120)0.1785000.418000Trim. Kurtosis (1/120)-0.6344000.149800
Trim. Skewness (2/120)0.1714000.441200Trim. Kurtosis (2/120)-0.7299000.101000
Trim. Skewness (3/120)0.1593000.477600Trim. Kurtosis (3/120)-0.8687000.052400
Trim. Skewness (4/120)0.1673000.459200Trim. Kurtosis (4/120)-0.9521000.034800
Trim. Skewness (5/120)0.1710000.453200Trim. Kurtosis (5/120)-0.9770000.032400
Trim. Skewness (6/120)0.1792000.435400Trim. Kurtosis (6/120)-0.9919000.030800
Trim. Skewness (7/120)0.1812000.435400Trim. Kurtosis (7/120)-1.0114000.029200
Trim. Skewness (8/120)0.1749000.459200Trim. Kurtosis (8/120)-1.0261000.028600
Trim. Skewness (9/120)0.1660000.484000Trim. Kurtosis (9/120)-1.0507000.026400
Trim. Skewness (10/120)0.1595000.502800Trim. Kurtosis (10/120)-1.0669000.025000
Trim. Skewness (11/120)0.1609000.502800Trim. Kurtosis (11/120)-1.0773000.025000
Trim. Skewness (12/120)0.1633000.502800Trim. Kurtosis (12/120)-1.0976000.023800
Trim. Skewness (13/120)0.1642000.502800Trim. Kurtosis (13/120)-1.1311000.021400
Trim. Skewness (14/120)0.1687000.496400Trim. Kurtosis (14/120)-1.1344000.022600
Trim. Skewness (15/120)0.1719000.496400Trim. Kurtosis (15/120)-1.1312000.024400
Trim. Skewness (16/120)0.1742000.496400Trim. Kurtosis (16/120)-1.1350000.025000
Trim. Skewness (17/120)0.1692000.509200Trim. Kurtosis (17/120)-1.1327000.027200
Trim. Skewness (18/120)0.1644000.528600Trim. Kurtosis (18/120)-1.1354000.028600
Trim. Skewness (19/120)0.1567000.555200Trim. Kurtosis (19/120)-1.1441000.029200
Trim. Skewness (20/120)0.1482000.575400Trim. Kurtosis (20/120)-1.1631000.028600
Trim. Skewness (21/120)0.1375000.610000Trim. Kurtosis (21/120)-1.1892000.027200
Trim. Skewness (22/120)0.1197000.660000Trim. Kurtosis (22/120)-1.2279000.023800
Trim. Skewness (23/120)0.0992000.718800Trim. Kurtosis (23/120)-1.2620000.022000
Trim. Skewness (24/120)0.0722000.794800Trim. Kurtosis (24/120)-1.3142000.018200
Trim. Skewness (25/120)0.0442000.872800Trim. Kurtosis (25/120)-1.3754000.015000
Trim. Skewness (26/120)0.0332000.904400Trim. Kurtosis (26/120)-1.4042000.014200
Trim. Skewness (27/120)0.0209000.936200Trim. Kurtosis (27/120)-1.4403000.013200
Trim. Skewness (28/120)0.0308000.912400Trim. Kurtosis (28/120)-1.4418000.014200
Trim. Skewness (29/120)0.0348000.904400Trim. Kurtosis (29/120)-1.4336000.016400
Trim. Skewness (30/120)0.0379000.896600Trim. Kurtosis (30/120)-1.4276000.018800
Trim. Skewness (31/120)0.0412000.888600Trim. Kurtosis (31/120)-1.4259000.020800
Trim. Skewness (32/120)0.0356000.904400Trim. Kurtosis (32/120)-1.4206000.023200
Trim. Skewness (33/120)0.0254000.936200Trim. Kurtosis (33/120)-1.4208000.025800
Trim. Skewness (34/120)0.0169000.952200Trim. Kurtosis (34/120)-1.4237000.028600
Trim. Skewness (35/120)0.0094000.976000Trim. Kurtosis (35/120)-1.4348000.030000
Trim. Skewness (36/120)0.0141000.960200Trim. Kurtosis (36/120)-1.4275000.034000
Trim. Skewness (37/120)0.0306000.928200Trim. Kurtosis (37/120)-1.4143000.039400
Trim. Skewness (38/120)0.0427000.904400Trim. Kurtosis (38/120)-1.3876000.047800
Trim. Skewness (39/120)0.0555000.872800Trim. Kurtosis (39/120)-1.3583000.057400
Trim. Skewness (40/120)0.0745000.841400Trim. Kurtosis (40/120)-1.3308000.068800
 
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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