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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 15:07:26 +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/t12911295272q57dg1ph7tpghk.htm/, Retrieved Tue, 30 Nov 2010 16:05:27 +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/t12911295272q57dg1ph7tpghk.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 «
49.95765711 51.29245671 45.90504803 53.35140231 48.61941823 51.33242223 54.47700793 47.78455927 50.49771407 49.20807305 47.84584973 50.49328952 53.27221601 50.47985641 51.20705641 50.90436187 50.8323898 51.94703257 49.50379581 46.98906976 52.59953623 46.1381534 50.76933804 48.61955635 55.26553927 56.34171854 47.66144216 51.89315426 45.17765733 49.17878423 52.04436023 48.33977929 50.65822184 55.33322117 48.32007257 44.1215462 53.0453659 48.8226954 45.76150499 53.66858463 51.04731 46.29327109 50.96070821 48.73301217 50.67487815 49.38835681 50.65359321 48.04384008 50.57798461 45.49882348 54.42895341 48.20102034 45.42722902 50.15558821 44.36330041 50.9921709 44.72881088 42.95041125 46.44258233 47.90499109 55.59141265 49.91717638 48.64459474 52.3540081 47.88427095 55.78504068 46.28947217 51.36216404 46.19513796 50.03832945 48.20854343 47.25191931 48.00277537 48.0956314 47.2224981 53.57496232 44.92671669 49.60069249 43.8927417 51.5323253 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.3.345722FISHER 4th Cent. Mom.226.202990
FISHER beta 10.014649FISHER beta 22.706322
FISHER gamma 10.121032FISHER gamma 2-0.293678
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 11.104867FISHER Test 2-1.340449
FISHER Test 1 Probability0.267000FISHER Test 2 Probability0.177000
Pearson 2-0.034209
Yule using Quartile definition:
Weighted Average at Xnp
-0.058902
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.049781
Yule using Quartile definition:
Empirical Distribution Function
-0.058902
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.050481
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.051187
Yule using Quartile definition:
Closest Observation
-0.058902
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.051187
Yule using Quartile definition:
MS Excel (old versions)
-0.049086
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.121397Kurtosis (small sample)-0.284539
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)1.111510TEST 1 (small sample)-1.305188
TEST 1 Prob. (small sample)0.262800TEST 1 Prob. (small sample)0.190200
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)0.1214000.262800Trim. Kurtosis (0/500)-0.2845000.190200
Trim. Skewness (1/500)0.0908000.406600Trim. Kurtosis (1/500)-0.4332000.046600
Trim. Skewness (2/500)0.0774000.477600Trim. Kurtosis (2/500)-0.4973000.022600
Trim. Skewness (3/500)0.0667000.541800Trim. Kurtosis (3/500)-0.5587000.010800
Trim. Skewness (4/500)0.0662000.541800Trim. Kurtosis (4/500)-0.5843000.007800
Trim. Skewness (5/500)0.0659000.548400Trim. Kurtosis (5/500)-0.6030000.006200
Trim. Skewness (6/500)0.0657000.548400Trim. Kurtosis (6/500)-0.6195000.005000
Trim. Skewness (7/500)0.0655000.548400Trim. Kurtosis (7/500)-0.6377000.003800
Trim. Skewness (8/500)0.0657000.548400Trim. Kurtosis (8/500)-0.6567000.003000
Trim. Skewness (9/500)0.0666000.548400Trim. Kurtosis (9/500)-0.6690000.002600
Trim. Skewness (10/500)0.0672000.541800Trim. Kurtosis (10/500)-0.6814000.002200
Trim. Skewness (11/500)0.0679000.541800Trim. Kurtosis (11/500)-0.6953000.001800
Trim. Skewness (12/500)0.0700000.528600Trim. Kurtosis (12/500)-0.7075000.001600
Trim. Skewness (13/500)0.0728000.515600Trim. Kurtosis (13/500)-0.7170000.001400
Trim. Skewness (14/500)0.0741000.509200Trim. Kurtosis (14/500)-0.7251000.001200
Trim. Skewness (15/500)0.0752000.502800Trim. Kurtosis (15/500)-0.7336000.001000
Trim. Skewness (16/500)0.0762000.496400Trim. Kurtosis (16/500)-0.7417000.001000
Trim. Skewness (17/500)0.0761000.496400Trim. Kurtosis (17/500)-0.7457000.001000
Trim. Skewness (18/500)0.0762000.496400Trim. Kurtosis (18/500)-0.7499000.001000
Trim. Skewness (19/500)0.0768000.496400Trim. Kurtosis (19/500)-0.7542000.000800
Trim. Skewness (20/500)0.0775000.490200Trim. Kurtosis (20/500)-0.7592000.000800
Trim. Skewness (21/500)0.0783000.490200Trim. Kurtosis (21/500)-0.7645000.000800
Trim. Skewness (22/500)0.0793000.484000Trim. Kurtosis (22/500)-0.7702000.000800
Trim. Skewness (23/500)0.0800000.484000Trim. Kurtosis (23/500)-0.7758000.000600
Trim. Skewness (24/500)0.0803000.484000Trim. Kurtosis (24/500)-0.7808000.000600
Trim. Skewness (25/500)0.0807000.477600Trim. Kurtosis (25/500)-0.7862000.000600
Trim. Skewness (26/500)0.0804000.484000Trim. Kurtosis (26/500)-0.7917000.000600
Trim. Skewness (27/500)0.0800000.484000Trim. Kurtosis (27/500)-0.7981000.000600
Trim. Skewness (28/500)0.0787000.496400Trim. Kurtosis (28/500)-0.8046000.000600
Trim. Skewness (29/500)0.0771000.502800Trim. Kurtosis (29/500)-0.8118000.000400
Trim. Skewness (30/500)0.0762000.509200Trim. Kurtosis (30/500)-0.8173000.000400
Trim. Skewness (31/500)0.0757000.515600Trim. Kurtosis (31/500)-0.8222000.000400
Trim. Skewness (32/500)0.0751000.515600Trim. Kurtosis (32/500)-0.8278000.000400
Trim. Skewness (33/500)0.0741000.522200Trim. Kurtosis (33/500)-0.8331000.000400
Trim. Skewness (34/500)0.0731000.528600Trim. Kurtosis (34/500)-0.8390000.000400
Trim. Skewness (35/500)0.0727000.535200Trim. Kurtosis (35/500)-0.8443000.000400
Trim. Skewness (36/500)0.0730000.535200Trim. Kurtosis (36/500)-0.8493000.000400
Trim. Skewness (37/500)0.0738000.528600Trim. Kurtosis (37/500)-0.8537000.000200
Trim. Skewness (38/500)0.0744000.528600Trim. Kurtosis (38/500)-0.8586000.000200
Trim. Skewness (39/500)0.0753000.522200Trim. Kurtosis (39/500)-0.8636000.000200
Trim. Skewness (40/500)0.0762000.515600Trim. Kurtosis (40/500)-0.8699000.000200
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





Copyright

Creative Commons License

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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