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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 18:13:28 +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/t129105428207ntpy6yr2e2iq5.htm/, Retrieved Mon, 29 Nov 2010 19:11:22 +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/t129105428207ntpy6yr2e2iq5.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 «
622.3077824 677.1742475 711.4585885 522.6452604 591.4251758 626.23306 746.9490104 720.0397978 669.1614683 705.1213145 763.4769389 693.5878373 731.1082855 637.4215418 682.2091614 539.5159108 684.8854523 781.5938142 636.1407282 521.4868018 841.2049916 781.5014285 537.6100521 618.8031772 631.1818945 624.8958353 518.6051768 702.024397 672.1896399 792.0233413 543.7047861 608.8222543 750.4810034 733.0538785 644.048981 729.1095495 596.2030486 707.1376867 620.304609 688.2705957 564.6504457 721.477058 614.7365928 586.1060718 735.0517421 744.9607867 761.3261524 606.454471 499.4397484 629.1296942 761.7725003 541.2189834 706.6027936 556.1969856 648.6965253 788.0268145 658.5013991 744.131494 680.0897055 617.0083873 604.2960792 488.3944046 694.4693216 584.9980747 564.2313924 670.7410567 635.1554351 701.9131346 628.3523585 719.66853 592.2574883 683.8314238 684.3365215 768.7997417 636.036146 660.2442879 644.6949427 569.6253969 630.3125253 709.0478 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-296516.851132FISHER 4th Cent. Mom.2.23511e+8
FISHER beta 10.150820FISHER beta 23.202871
FISHER gamma 1-0.388355FISHER gamma 20.202871
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-1.736777FISHER Test 20.453633
FISHER Test 1 Probability0.081800FISHER Test 2 Probability0.645600
Pearson 20.063717
Yule using Quartile definition:
Weighted Average at Xnp
0.079709
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.122560
Yule using Quartile definition:
Empirical Distribution Function
0.079709
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.123991
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.125487
Yule using Quartile definition:
Closest Observation
0.079709
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.125487
Yule using Quartile definition:
MS Excel (old versions)
0.121190
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.393289Kurtosis (small sample)0.263301
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-1.780565TEST 1 (small sample)0.600691
TEST 1 Prob. (small sample)0.073400TEST 1 Prob. (small sample)0.541800
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.3933000.073400Trim. Kurtosis (0/120)0.2633000.541800
Trim. Skewness (1/120)-0.1457000.509200Trim. Kurtosis (1/120)-0.7744000.078400
Trim. Skewness (2/120)-0.1703000.447200Trim. Kurtosis (2/120)-0.9049000.041400
Trim. Skewness (3/120)-0.1765000.435400Trim. Kurtosis (3/120)-0.9381000.036600
Trim. Skewness (4/120)-0.1789000.429600Trim. Kurtosis (4/120)-0.9503000.035800
Trim. Skewness (5/120)-0.1877000.412200Trim. Kurtosis (5/120)-0.9502000.037600
Trim. Skewness (6/120)-0.1942000.400800Trim. Kurtosis (6/120)-0.9457000.039400
Trim. Skewness (7/120)-0.2035000.384400Trim. Kurtosis (7/120)-0.9458000.041400
Trim. Skewness (8/120)-0.2142000.362800Trim. Kurtosis (8/120)-0.9569000.041400
Trim. Skewness (9/120)-0.2148000.368200Trim. Kurtosis (9/120)-0.9569000.043400
Trim. Skewness (10/120)-0.2100000.384400Trim. Kurtosis (10/120)-0.9595000.044400
Trim. Skewness (11/120)-0.2108000.384400Trim. Kurtosis (11/120)-0.9530000.047800
Trim. Skewness (12/120)-0.2108000.389800Trim. Kurtosis (12/120)-0.9545000.050000
Trim. Skewness (13/120)-0.2128000.389800Trim. Kurtosis (13/120)-0.9630000.050000
Trim. Skewness (14/120)-0.2002000.423800Trim. Kurtosis (14/120)-0.9727000.050000
Trim. Skewness (15/120)-0.1802000.477600Trim. Kurtosis (15/120)-0.9928000.047800
Trim. Skewness (16/120)-0.1707000.502800Trim. Kurtosis (16/120)-0.9899000.051200
Trim. Skewness (17/120)-0.1576000.541800Trim. Kurtosis (17/120)-0.9964000.052400
Trim. Skewness (18/120)-0.1412000.589200Trim. Kurtosis (18/120)-1.0051000.052400
Trim. Skewness (19/120)-0.1180000.652800Trim. Kurtosis (19/120)-1.0212000.051200
Trim. Skewness (20/120)-0.0896000.733800Trim. Kurtosis (20/120)-1.0529000.047800
Trim. Skewness (21/120)-0.0535000.841400Trim. Kurtosis (21/120)-1.0993000.040400
Trim. Skewness (22/120)-0.0378000.888600Trim. Kurtosis (22/120)-1.1119000.040400
Trim. Skewness (23/120)-0.0296000.912400Trim. Kurtosis (23/120)-1.1128000.043400
Trim. Skewness (24/120)-0.0175000.944200Trim. Kurtosis (24/120)-1.1207000.044400
Trim. Skewness (25/120)0.0033000.984000Trim. Kurtosis (25/120)-1.1454000.042400
Trim. Skewness (26/120)0.0367000.896600Trim. Kurtosis (26/120)-1.1930000.037600
Trim. Skewness (27/120)0.0754000.794800Trim. Kurtosis (27/120)-1.2318000.034000
Trim. Skewness (28/120)0.1146000.696600Trim. Kurtosis (28/120)-1.2727000.030800
Trim. Skewness (29/120)0.1285000.667200Trim. Kurtosis (29/120)-1.2809000.032400
Trim. Skewness (30/120)0.1450000.638400Trim. Kurtosis (30/120)-1.3010000.032400
Trim. Skewness (31/120)0.1636000.596200Trim. Kurtosis (31/120)-1.2942000.035800
Trim. Skewness (32/120)0.1858000.555200Trim. Kurtosis (32/120)-1.2950000.038400
Trim. Skewness (33/120)0.2013000.528600Trim. Kurtosis (33/120)-1.2922000.042400
Trim. Skewness (34/120)0.2222000.496400Trim. Kurtosis (34/120)-1.2879000.046600
Trim. Skewness (35/120)0.2444000.465400Trim. Kurtosis (35/120)-1.2813000.052400
Trim. Skewness (36/120)0.2537000.459200Trim. Kurtosis (36/120)-1.2730000.058800
Trim. Skewness (37/120)0.2635000.447200Trim. Kurtosis (37/120)-1.2831000.061400
Trim. Skewness (38/120)0.2698000.447200Trim. Kurtosis (38/120)-1.3060000.061400
Trim. Skewness (39/120)0.2893000.423800Trim. Kurtosis (39/120)-1.3389000.061400
Trim. Skewness (40/120)0.2968000.423800Trim. Kurtosis (40/120)-1.4244000.051200
 
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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