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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 19:32:50 +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/t1291059057o27m0fuo55gikld.htm/, Retrieved Mon, 29 Nov 2010 20:30:57 +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/t1291059057o27m0fuo55gikld.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 «
490.7013862 420.0380933 480.9422531 464.3786836 489.6224394 513.007873 515.1313603 504.6832371 496.7133594 501.5562828 499.748246 496.2357494 515.4929934 535.0932182 470.7269034 436.1254778 475.4191 516.5959243 454.9884978 484.1223534 463.5705143 530.0357472 462.623134 516.2815603 452.9634688 490.2801008 475.7941375 462.9229978 465.6683394 504.1211905 496.7995611 538.46435 487.6480159 443.7054134 505.5800421 512.995164 465.9715645 513.9833939 438.13327 487.380965 498.3479496 411.7054795 466.7333762 472.9531321 453.3653274 497.1981778 411.7821038 504.7806019 458.4430823 522.613999 521.6935065 443.3042068 470.9902575 482.9582141 443.8616121 473.018834 419.6305791 492.6310081 484.4184406 479.5212575 476.3268752 512.6762929 435.0030127 490.8768396 522.846996 449.926122 469.3292599 437.3307397 512.2647031 426.6982223 527.1064801 451.4133487 488.5299327 493.497642 501.7963067 428.540767 488.5419625 465.6598026 491.5143993 531.0089396 46 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-4495.182677FISHER 4th Cent. Mom.4.00290e+6
FISHER beta 10.012996FISHER beta 22.982467
FISHER gamma 1-0.113998FISHER gamma 2-0.017533
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-1.040656FISHER Test 2-0.080029
FISHER Test 1 Probability0.293800FISHER Test 2 Probability0.928200
Pearson 20.161487
Yule using Quartile definition:
Weighted Average at Xnp
0.097982
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.099107
Yule using Quartile definition:
Empirical Distribution Function
0.097982
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.099807
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.100509
Yule using Quartile definition:
Closest Observation
0.097982
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.100509
Yule using Quartile definition:
MS Excel (old versions)
0.098407
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.114341Kurtosis (small sample)-0.005613
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-1.046913TEST 1 (small sample)-0.025749
TEST 1 Prob. (small sample)0.293800TEST 1 Prob. (small sample)0.976000
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.1143000.293800Trim. Kurtosis (0/500)-0.0056000.976000
Trim. Skewness (1/500)-0.1047000.337000Trim. Kurtosis (1/500)-0.2563000.238000
Trim. Skewness (2/500)-0.0937000.389800Trim. Kurtosis (2/500)-0.3611000.099000
Trim. Skewness (3/500)-0.0857000.435400Trim. Kurtosis (3/500)-0.4434000.042400
Trim. Skewness (4/500)-0.0816000.453200Trim. Kurtosis (4/500)-0.5121000.019200
Trim. Skewness (5/500)-0.0756000.490200Trim. Kurtosis (5/500)-0.5682000.009600
Trim. Skewness (6/500)-0.0740000.502800Trim. Kurtosis (6/500)-0.6065000.006000
Trim. Skewness (7/500)-0.0742000.502800Trim. Kurtosis (7/500)-0.6429000.003600
Trim. Skewness (8/500)-0.0760000.490200Trim. Kurtosis (8/500)-0.6783000.002200
Trim. Skewness (9/500)-0.0728000.509200Trim. Kurtosis (9/500)-0.7075000.001400
Trim. Skewness (10/500)-0.0672000.541800Trim. Kurtosis (10/500)-0.7324000.001000
Trim. Skewness (11/500)-0.0641000.562000Trim. Kurtosis (11/500)-0.7529000.000800
Trim. Skewness (12/500)-0.0596000.589200Trim. Kurtosis (12/500)-0.7718000.000600
Trim. Skewness (13/500)-0.0548000.624200Trim. Kurtosis (13/500)-0.7931000.000400
Trim. Skewness (14/500)-0.0511000.645600Trim. Kurtosis (14/500)-0.8106000.000200
Trim. Skewness (15/500)-0.0457000.681800Trim. Kurtosis (15/500)-0.8227000.000200
Trim. Skewness (16/500)-0.0424000.704000Trim. Kurtosis (16/500)-0.8311000.000200
Trim. Skewness (17/500)-0.0383000.733800Trim. Kurtosis (17/500)-0.8400000.000200
Trim. Skewness (18/500)-0.0345000.756600Trim. Kurtosis (18/500)-0.8488000.000200
Trim. Skewness (19/500)-0.0309000.779400Trim. Kurtosis (19/500)-0.8583000.000200
Trim. Skewness (20/500)-0.0268000.810400Trim. Kurtosis (20/500)-0.8687000.000200
Trim. Skewness (21/500)-0.0217000.841400Trim. Kurtosis (21/500)-0.8788000.000200
Trim. Skewness (22/500)-0.0162000.880800Trim. Kurtosis (22/500)-0.8900000.000000
Trim. Skewness (23/500)-0.0103000.920400Trim. Kurtosis (23/500)-0.9016000.000000
Trim. Skewness (24/500)-0.0039000.968000Trim. Kurtosis (24/500)-0.9145000.000000
Trim. Skewness (25/500)-0.0002000.992000Trim. Kurtosis (25/500)-0.9208000.000000
Trim. Skewness (26/500)0.0034000.976000Trim. Kurtosis (26/500)-0.9274000.000000
Trim. Skewness (27/500)0.0070000.944200Trim. Kurtosis (27/500)-0.9343000.000000
Trim. Skewness (28/500)0.0109000.920400Trim. Kurtosis (28/500)-0.9417000.000000
Trim. Skewness (29/500)0.0150000.896600Trim. Kurtosis (29/500)-0.9498000.000000
Trim. Skewness (30/500)0.0192000.865000Trim. Kurtosis (30/500)-0.9583000.000000
Trim. Skewness (31/500)0.0233000.841400Trim. Kurtosis (31/500)-0.9675000.000000
Trim. Skewness (32/500)0.0268000.818000Trim. Kurtosis (32/500)-0.9762000.000000
Trim. Skewness (33/500)0.0299000.794800Trim. Kurtosis (33/500)-0.9844000.000000
Trim. Skewness (34/500)0.0334000.771800Trim. Kurtosis (34/500)-0.9931000.000000
Trim. Skewness (35/500)0.0374000.749000Trim. Kurtosis (35/500)-1.0012000.000000
Trim. Skewness (36/500)0.0406000.726400Trim. Kurtosis (36/500)-1.0082000.000000
Trim. Skewness (37/500)0.0439000.704000Trim. Kurtosis (37/500)-1.0147000.000000
Trim. Skewness (38/500)0.0474000.689200Trim. Kurtosis (38/500)-1.0216000.000000
Trim. Skewness (39/500)0.0518000.660000Trim. Kurtosis (39/500)-1.0270000.000000
Trim. Skewness (40/500)0.0559000.638400Trim. Kurtosis (40/500)-1.0319000.000000
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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