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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 18:10:34 +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/t12910541067m765l7zrzh3t5s.htm/, Retrieved Mon, 29 Nov 2010 19:08:26 +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/t12910541067m765l7zrzh3t5s.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 «
272.9129143 280.8330789 272.0712364 333.7073961 302.8702116 349.3798878 319.3774407 270.0252828 278.0560206 319.9497927 296.9710243 307.9505905 313.1428896 280.694582 304.8451078 276.4709686 319.2788864 271.9937951 304.4831986 265.9173217 245.2967968 314.0154804 280.086456 267.8872741 267.6848617 275.2834903 301.1057583 276.291641 249.3187973 312.9947779 325.4646924 293.2597892 318.0415186 315.8149801 274.3796847 312.2935285 309.8273337 266.3056371 319.7754139 281.5230448 279.0412006 284.6686815 292.0466908 259.4211535 318.7244654 314.968698 378.046818 295.5836426 232.4048933 328.5745415 231.9290938 274.9629689 283.1465912 341.1207333 302.5372545 304.6244804 311.5853731 258.9923866 288.8886569 390.5412815 288.6359293 353.0235409 273.658878 329.3732223 348.8426982 286.0563069 281.8314106 323.6166285 302.9137373 324.441534 289.9862165 270.6884454 284.5988587 282.7708009 276.9699055 321.1878088 253.6196038 269.7937976 343.1926875 296. etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.13981.116805FISHER 4th Cent. Mom.3.69480e+6
FISHER beta 10.168847FISHER beta 23.351170
FISHER gamma 10.410910FISHER gamma 20.351170
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.837644FISHER Test 20.785239
FISHER Test 1 Probability0.065800FISHER Test 2 Probability0.429600
Pearson 20.442442
Yule using Quartile definition:
Weighted Average at Xnp
0.202157
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.233450
Yule using Quartile definition:
Empirical Distribution Function
0.202157
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.224479
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.215260
Yule using Quartile definition:
Closest Observation
0.202157
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.215260
Yule using Quartile definition:
MS Excel (old versions)
0.242183
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.416129Kurtosis (small sample)0.417970
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.883974TEST 1 (small sample)0.953550
TEST 1 Prob. (small sample)0.058800TEST 1 Prob. (small sample)0.337000
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.4161000.058800Trim. Kurtosis (0/120)0.4180000.337000
Trim. Skewness (1/120)0.3793000.087200Trim. Kurtosis (1/120)0.2109000.631200
Trim. Skewness (2/120)0.3329000.136200Trim. Kurtosis (2/120)-0.1081000.802600
Trim. Skewness (3/120)0.2765000.218600Trim. Kurtosis (3/120)-0.3748000.400800
Trim. Skewness (4/120)0.2789000.218600Trim. Kurtosis (4/120)-0.5408000.230200
Trim. Skewness (5/120)0.2705000.238000Trim. Kurtosis (5/120)-0.7021000.123600
Trim. Skewness (6/120)0.2647000.254200Trim. Kurtosis (6/120)-0.7743000.093000
Trim. Skewness (7/120)0.2557000.275800Trim. Kurtosis (7/120)-0.8256000.075000
Trim. Skewness (8/120)0.2429000.303000Trim. Kurtosis (8/120)-0.9092000.052400
Trim. Skewness (9/120)0.2438000.307800Trim. Kurtosis (9/120)-0.9552000.043400
Trim. Skewness (10/120)0.2521000.293800Trim. Kurtosis (10/120)-1.0121000.034000
Trim. Skewness (11/120)0.2521000.298400Trim. Kurtosis (11/120)-1.0946000.023200
Trim. Skewness (12/120)0.2267000.352400Trim. Kurtosis (12/120)-1.1854000.014600
Trim. Skewness (13/120)0.2291000.352400Trim. Kurtosis (13/120)-1.2192000.013200
Trim. Skewness (14/120)0.2368000.342200Trim. Kurtosis (14/120)-1.2336000.013200
Trim. Skewness (15/120)0.2471000.327000Trim. Kurtosis (15/120)-1.2494000.012800
Trim. Skewness (16/120)0.2505000.327000Trim. Kurtosis (16/120)-1.2632000.012800
Trim. Skewness (17/120)0.2471000.337000Trim. Kurtosis (17/120)-1.2789000.012800
Trim. Skewness (18/120)0.2525000.332000Trim. Kurtosis (18/120)-1.2792000.013600
Trim. Skewness (19/120)0.2532000.337000Trim. Kurtosis (19/120)-1.2807000.014600
Trim. Skewness (20/120)0.2564000.337000Trim. Kurtosis (20/120)-1.2810000.016000
Trim. Skewness (21/120)0.2604000.337000Trim. Kurtosis (21/120)-1.2814000.016800
Trim. Skewness (22/120)0.2574000.347200Trim. Kurtosis (22/120)-1.2855000.018200
Trim. Skewness (23/120)0.2631000.342200Trim. Kurtosis (23/120)-1.2746000.020400
Trim. Skewness (24/120)0.2686000.342200Trim. Kurtosis (24/120)-1.2681000.023200
Trim. Skewness (25/120)0.2765000.332000Trim. Kurtosis (25/120)-1.2563000.026400
Trim. Skewness (26/120)0.2813000.332000Trim. Kurtosis (26/120)-1.2466000.029200
Trim. Skewness (27/120)0.2842000.332000Trim. Kurtosis (27/120)-1.2386000.033200
Trim. Skewness (28/120)0.2854000.337000Trim. Kurtosis (28/120)-1.2405000.034800
Trim. Skewness (29/120)0.2826000.352400Trim. Kurtosis (29/120)-1.2460000.037600
Trim. Skewness (30/120)0.2762000.368200Trim. Kurtosis (30/120)-1.2548000.038400
Trim. Skewness (31/120)0.2828000.362800Trim. Kurtosis (31/120)-1.2428000.043400
Trim. Skewness (32/120)0.2905000.357600Trim. Kurtosis (32/120)-1.2258000.050000
Trim. Skewness (33/120)0.2922000.362800Trim. Kurtosis (33/120)-1.2175000.056200
Trim. Skewness (34/120)0.2971000.368200Trim. Kurtosis (34/120)-1.2051000.062800
Trim. Skewness (35/120)0.2992000.373400Trim. Kurtosis (35/120)-1.1843000.073400
Trim. Skewness (36/120)0.2967000.384400Trim. Kurtosis (36/120)-1.1767000.080200
Trim. Skewness (37/120)0.2905000.406600Trim. Kurtosis (37/120)-1.1884000.083600
Trim. Skewness (38/120)0.2734000.441200Trim. Kurtosis (38/120)-1.2351000.076800
Trim. Skewness (39/120)0.2372000.515600Trim. Kurtosis (39/120)-1.3149000.065800
Trim. Skewness (40/120)0.2153000.562000Trim. Kurtosis (40/120)-1.3927000.056200
 
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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