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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 18:31:43 +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/t1291055392orws6li3oa5qcor.htm/, Retrieved Mon, 29 Nov 2010 19:29:52 +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/t1291055392orws6li3oa5qcor.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 «
493.13 496.69 508.54 519.57 524.33 527.75 536.44 529.28 526.64 518.44 518.89 534.74 512.57 515.54 520.71 521.53 536.54 550.91 547 539.11 544.68 536.49 528.77 540.14 540.73 548.48 546.83 540.39 532.8 536.46 538.23 545.95 535.41 523.77 530.78 524.48 524.55 527.39 523.19 545.87 546.29 537.78 528.57 513.44 510.62 503.53 502.34 499.93 511.08 512.63 496.06 496.37 498.21 497.22 497.59 499.92 504.84 503.82 493.51 505.63 505.51 499.65 505.18 504.04 517.94 524.61 514.94 510.86 503.34 506.44 507.96 500.44 517.46 526.5 529.3 518.42 514.8 516.22 513.48 520.15 516.91 512.01 513.71 520.06 526.84 528.94 525.37 520 507.05 495.5 491.62 486.97 484.26 478.68 474.41 489.67 469.16 461.58 465.04 462.99 466.77 456.67 464.74 475.36 474.65 460.42 458.36 447.55 446.76 444.16 435.69 433.39 439.33 457.58 453.53 449.18 446.05 455.37 449.19 445.41 448.31 431.52 429.06 446.17 441.72 446.01 431.9 430.78 424.24 414. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-10051.169475FISHER 4th Cent. Mom.3.76454e+6
FISHER beta 10.057470FISHER beta 22.584547
FISHER gamma 1-0.239729FISHER gamma 2-0.415453
FISHER gamma 1 (S.E.)0.109545FISHER gamma 2 (S.E.)0.219089
FISHER Test 1-2.188417FISHER Test 2-1.896276
FISHER Test 1 Probability0.028600FISHER Test 2 Probability0.057400
Pearson 2-0.028772
Yule using Quartile definition:
Weighted Average at Xnp
0.041047
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.047146
Yule using Quartile definition:
Empirical Distribution Function
0.041047
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.045429
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.043705
Yule using Quartile definition:
Closest Observation
0.041047
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.043705
Yule using Quartile definition:
MS Excel (old versions)
0.048856
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.240451Kurtosis (small sample)-0.407541
Skewness S.E. (small sample)0.109218Kurtosis S.E. (small sample)0.218006
TEST 1 (small sample)-2.201574TEST 1 (small sample)-1.869403
TEST 1 Prob. (small sample)0.027200TEST 1 Prob. (small sample)0.061400
Observations500



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/500)-0.2405000.027200Trim. Kurtosis (0/500)-0.4075000.061400
Trim. Skewness (1/500)-0.2336000.032400Trim. Kurtosis (1/500)-0.4393000.043400
Trim. Skewness (2/500)-0.2308000.034800Trim. Kurtosis (2/500)-0.4555000.036600
Trim. Skewness (3/500)-0.2298000.035800Trim. Kurtosis (3/500)-0.4653000.033200
Trim. Skewness (4/500)-0.2287000.037600Trim. Kurtosis (4/500)-0.4766000.030000
Trim. Skewness (5/500)-0.2302000.036600Trim. Kurtosis (5/500)-0.4831000.027800
Trim. Skewness (6/500)-0.2331000.034800Trim. Kurtosis (6/500)-0.4877000.026400
Trim. Skewness (7/500)-0.2369000.032400Trim. Kurtosis (7/500)-0.4910000.025800
Trim. Skewness (8/500)-0.2412000.029200Trim. Kurtosis (8/500)-0.4951000.025000
Trim. Skewness (9/500)-0.2451000.027200Trim. Kurtosis (9/500)-0.4984000.024400
Trim. Skewness (10/500)-0.2484000.025800Trim. Kurtosis (10/500)-0.5016000.023800
Trim. Skewness (11/500)-0.2500000.025000Trim. Kurtosis (11/500)-0.5030000.023800
Trim. Skewness (12/500)-0.2520000.023800Trim. Kurtosis (12/500)-0.5038000.023800
Trim. Skewness (13/500)-0.2545000.023200Trim. Kurtosis (13/500)-0.5044000.023800
Trim. Skewness (14/500)-0.2565000.022000Trim. Kurtosis (14/500)-0.5050000.023800
Trim. Skewness (15/500)-0.2590000.021400Trim. Kurtosis (15/500)-0.5057000.024400
Trim. Skewness (16/500)-0.2608000.020400Trim. Kurtosis (16/500)-0.5065000.024400
Trim. Skewness (17/500)-0.2625000.019800Trim. Kurtosis (17/500)-0.5080000.023800
Trim. Skewness (18/500)-0.2635000.019800Trim. Kurtosis (18/500)-0.5098000.023800
Trim. Skewness (19/500)-0.2644000.019800Trim. Kurtosis (19/500)-0.5122000.023800
Trim. Skewness (20/500)-0.2652000.019800Trim. Kurtosis (20/500)-0.5160000.022600
Trim. Skewness (21/500)-0.2666000.019200Trim. Kurtosis (21/500)-0.5198000.022000
Trim. Skewness (22/500)-0.2685000.018800Trim. Kurtosis (22/500)-0.5239000.021400
Trim. Skewness (23/500)-0.2699000.018200Trim. Kurtosis (23/500)-0.5280000.020800
Trim. Skewness (24/500)-0.2707000.018200Trim. Kurtosis (24/500)-0.5327000.019800
Trim. Skewness (25/500)-0.2708000.018200Trim. Kurtosis (25/500)-0.5383000.018800
Trim. Skewness (26/500)-0.2705000.018800Trim. Kurtosis (26/500)-0.5433000.017800
Trim. Skewness (27/500)-0.2690000.019800Trim. Kurtosis (27/500)-0.5472000.017400
Trim. Skewness (28/500)-0.2677000.020400Trim. Kurtosis (28/500)-0.5514000.016800
Trim. Skewness (29/500)-0.2664000.021400Trim. Kurtosis (29/500)-0.5566000.016000
Trim. Skewness (30/500)-0.2646000.022600Trim. Kurtosis (30/500)-0.5618000.015600
Trim. Skewness (31/500)-0.2627000.023800Trim. Kurtosis (31/500)-0.5667000.014600
Trim. Skewness (32/500)-0.2609000.025000Trim. Kurtosis (32/500)-0.5725000.013800
Trim. Skewness (33/500)-0.2586000.027200Trim. Kurtosis (33/500)-0.5796000.013200
Trim. Skewness (34/500)-0.2559000.029200Trim. Kurtosis (34/500)-0.5885000.011800
Trim. Skewness (35/500)-0.2528000.031600Trim. Kurtosis (35/500)-0.5991000.010400
Trim. Skewness (36/500)-0.2489000.034800Trim. Kurtosis (36/500)-0.6108000.009400
Trim. Skewness (37/500)-0.2443000.038400Trim. Kurtosis (37/500)-0.6243000.008000
Trim. Skewness (38/500)-0.2389000.043400Trim. Kurtosis (38/500)-0.6399000.006800
Trim. Skewness (39/500)-0.2340000.048800Trim. Kurtosis (39/500)-0.6548000.005600
Trim. Skewness (40/500)-0.2296000.053600Trim. Kurtosis (40/500)-0.6698000.004800
 
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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