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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 14:48:20 +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/t12911283850t4r4jhftsjyva8.htm/, Retrieved Tue, 30 Nov 2010 15:46:25 +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/t12911283850t4r4jhftsjyva8.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 «
52.5978412 49.20854629 48.76578401 45.09739025 48.22739229 49.20097619 54.95697273 48.65157649 51.98360454 51.5353562 49.14429743 49.84652955 53.60003445 45.47670853 50.96021639 46.20743813 48.77859395 47.99085402 49.87958992 49.34820941 53.77077036 48.61875502 54.04739777 53.37291909 52.46238235 52.67237751 56.93075099 51.31996473 51.28894392 48.92039106 48.25877802 48.67451836 49.96821704 50.33125162 49.65543505 44.33389599 51.00957309 50.54637262 44.17705174 48.26847004 53.36817472 50.56840472 51.15853505 48.32762724 45.80076865 50.02345927 52.52930411 47.20029414 50.35365322 45.88039642 52.06241615 53.27964153 47.93909955 48.536319 42.27321534 51.56408271 51.20742591 49.20423635 53.79479458 57.28929271 50.60438033 51.53307165 50.33851505 51.224414 49.60721961 49.49459686 52.97329213 48.24797413 47.64462394 49.38653947 47.30462788 56.80992536 51.3737814 51.57222476 54.11755046 50.06158817 45.91962325 49.10593695 55.17195913 54.8 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-2.859134FISHER 4th Cent. Mom.251.507355
FISHER beta 10.010765FISHER beta 23.021611
FISHER gamma 1-0.103753FISHER gamma 20.021611
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 1-0.463997FISHER Test 20.048324
FISHER Test 1 Probability0.638400FISHER Test 2 Probability0.960200
Pearson 20.148201
Yule using Quartile definition:
Weighted Average at Xnp
0.134267
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.148793
Yule using Quartile definition:
Empirical Distribution Function
0.134267
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.149602
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.150425
Yule using Quartile definition:
Closest Observation
0.134267
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.150425
Yule using Quartile definition:
MS Excel (old versions)
0.147996
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.105071Kurtosis (small sample)0.074256
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)-0.475696TEST 1 (small sample)0.169407
TEST 1 Prob. (small sample)0.631200TEST 1 Prob. (small sample)0.865000
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)-0.1051000.631200Trim. Kurtosis (0/120)0.0743000.865000
Trim. Skewness (1/120)-0.0598000.787200Trim. Kurtosis (1/120)-0.1163000.787200
Trim. Skewness (2/120)-0.0041000.984000Trim. Kurtosis (2/120)-0.3566000.418000
Trim. Skewness (3/120)-0.0304000.888600Trim. Kurtosis (3/120)-0.4642000.298400
Trim. Skewness (4/120)-0.0306000.888600Trim. Kurtosis (4/120)-0.5491000.222400
Trim. Skewness (5/120)-0.0026000.984000Trim. Kurtosis (5/120)-0.6119000.180200
Trim. Skewness (6/120)0.0011000.992000Trim. Kurtosis (6/120)-0.6319000.167600
Trim. Skewness (7/120)0.0149000.944200Trim. Kurtosis (7/120)-0.6646000.152800
Trim. Skewness (8/120)0.0169000.936200Trim. Kurtosis (8/120)-0.6889000.141600
Trim. Skewness (9/120)0.0141000.952200Trim. Kurtosis (9/120)-0.7285000.123600
Trim. Skewness (10/120)0.0077000.968000Trim. Kurtosis (10/120)-0.7769000.103200
Trim. Skewness (11/120)0.0201000.928200Trim. Kurtosis (11/120)-0.8109000.093000
Trim. Skewness (12/120)0.0411000.865000Trim. Kurtosis (12/120)-0.8642000.075000
Trim. Skewness (13/120)0.0607000.802600Trim. Kurtosis (13/120)-0.9317000.057400
Trim. Skewness (14/120)0.0920000.711400Trim. Kurtosis (14/120)-1.0052000.043400
Trim. Skewness (15/120)0.0891000.718800Trim. Kurtosis (15/120)-1.0393000.038400
Trim. Skewness (16/120)0.0906000.718800Trim. Kurtosis (16/120)-1.0747000.034000
Trim. Skewness (17/120)0.1040000.681800Trim. Kurtosis (17/120)-1.1108000.030000
Trim. Skewness (18/120)0.1044000.689200Trim. Kurtosis (18/120)-1.1489000.026400
Trim. Skewness (19/120)0.1032000.696600Trim. Kurtosis (19/120)-1.1948000.022600
Trim. Skewness (20/120)0.1213000.645600Trim. Kurtosis (20/120)-1.2331000.020400
Trim. Skewness (21/120)0.1278000.638400Trim. Kurtosis (21/120)-1.2437000.020400
Trim. Skewness (22/120)0.1308000.631200Trim. Kurtosis (22/120)-1.2352000.023200
Trim. Skewness (23/120)0.1342000.624200Trim. Kurtosis (23/120)-1.2231000.026400
Trim. Skewness (24/120)0.1372000.624200Trim. Kurtosis (24/120)-1.2162000.029200
Trim. Skewness (25/120)0.1381000.624200Trim. Kurtosis (25/120)-1.2152000.031600
Trim. Skewness (26/120)0.1373000.631200Trim. Kurtosis (26/120)-1.2163000.034000
Trim. Skewness (27/120)0.1283000.660000Trim. Kurtosis (27/120)-1.2099000.037600
Trim. Skewness (28/120)0.1145000.696600Trim. Kurtosis (28/120)-1.2137000.039400
Trim. Skewness (29/120)0.1025000.733800Trim. Kurtosis (29/120)-1.2189000.041400
Trim. Skewness (30/120)0.0862000.779400Trim. Kurtosis (30/120)-1.2415000.040400
Trim. Skewness (31/120)0.0646000.833600Trim. Kurtosis (31/120)-1.2746000.038400
Trim. Skewness (32/120)0.0525000.865000Trim. Kurtosis (32/120)-1.2864000.040400
Trim. Skewness (33/120)0.0258000.936200Trim. Kurtosis (33/120)-1.3074000.040400
Trim. Skewness (34/120)-0.0009000.992000Trim. Kurtosis (34/120)-1.3389000.039400
Trim. Skewness (35/120)0.0080000.976000Trim. Kurtosis (35/120)-1.3223000.045600
Trim. Skewness (36/120)0.0153000.960200Trim. Kurtosis (36/120)-1.2956000.053600
Trim. Skewness (37/120)0.0259000.936200Trim. Kurtosis (37/120)-1.2744000.062800
Trim. Skewness (38/120)0.0371000.912400Trim. Kurtosis (38/120)-1.2608000.071800
Trim. Skewness (39/120)0.0527000.880800Trim. Kurtosis (39/120)-1.2607000.078400
Trim. Skewness (40/120)0.0556000.880800Trim. Kurtosis (40/120)-1.2701000.081800
 
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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