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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 18:07:05 +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/t1291053917w3j65myiwtii5dr.htm/, Retrieved Mon, 29 Nov 2010 19:05:17 +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/t1291053917w3j65myiwtii5dr.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 «
278.8583859 254.5266122 244.2392601 276.7198392 220.8863327 263.7821133 270.0817268 342.3479739 247.5521659 299.3974673 235.8950959 244.5997074 267.5723415 258.1114068 259.3246084 260.2114177 250.737167 309.1042873 233.5230422 257.1873475 276.8194669 244.5496946 238.1594162 289.3315499 280.4611484 277.608197 304.2801882 306.3476879 307.1633091 257.5779962 241.5159417 296.9552945 262.2767918 258.0877493 230.9549391 274.3386283 270.0764795 341.3917855 250.2219877 249.4410268 289.1989713 240.3608849 277.7486601 265.6737013 268.5850842 264.6893044 267.0711693 281.7636472 229.0594066 252.3016406 238.2195597 245.500726 266.6220816 253.2922477 225.6480271 242.8552434 202.3739551 285.0450456 271.9202576 254.9743586 248.8695046 191.8908411 280.554886 264.29304 279.3668473 255.771474 256.771084 280.9400848 282.2750127 239.1112296 346.0002012 278.0700557 256.1629168 281.1226908 292.3292725 261.0859802 260.2183511 314.7595217 200.7203806 248.3 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.7751.232901FISHER 4th Cent. Mom.2.04462e+6
FISHER beta 10.178670FISHER beta 24.228169
FISHER gamma 10.422694FISHER gamma 21.228169
FISHER gamma 1 (S.E.)0.223607FISHER gamma 2 (S.E.)0.447214
FISHER Test 11.890345FISHER Test 22.746269
FISHER Test 1 Probability0.057400FISHER Test 2 Probability0.006000
Pearson 20.234932
Yule using Quartile definition:
Weighted Average at Xnp
0.161807
Yule using Quartile definition:
Weighted Average at X(n+1)p
0.167004
Yule using Quartile definition:
Empirical Distribution Function
0.161807
Yule using Quartile definition:
Empirical Distribution Function - Averaging
0.168092
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
0.169187
Yule using Quartile definition:
Closest Observation
0.161807
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
0.169187
Yule using Quartile definition:
MS Excel (old versions)
0.165922
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)0.428063Kurtosis (small sample)1.332638
Skewness S.E. (small sample)0.220879Kurtosis S.E. (small sample)0.438331
TEST 1 (small sample)1.938004TEST 1 (small sample)3.040259
TEST 1 Prob. (small sample)0.052400TEST 1 Prob. (small sample)0.002200
Observations120



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/120)0.4281000.052400Trim. Kurtosis (0/120)1.3326000.002200
Trim. Skewness (1/120)0.4125000.062800Trim. Kurtosis (1/120)1.0672000.015600
Trim. Skewness (2/120)0.3330000.136200Trim. Kurtosis (2/120)0.6864000.121200
Trim. Skewness (3/120)0.1871000.406600Trim. Kurtosis (3/120)-0.1742000.696600
Trim. Skewness (4/120)0.1948000.389800Trim. Kurtosis (4/120)-0.3000000.502800
Trim. Skewness (5/120)0.2158000.347200Trim. Kurtosis (5/120)-0.3752000.406600
Trim. Skewness (6/120)0.2175000.347200Trim. Kurtosis (6/120)-0.4240000.357600
Trim. Skewness (7/120)0.1985000.395400Trim. Kurtosis (7/120)-0.4774000.303000
Trim. Skewness (8/120)0.1813000.441200Trim. Kurtosis (8/120)-0.5381000.250200
Trim. Skewness (9/120)0.1750000.459200Trim. Kurtosis (9/120)-0.5962000.207600
Trim. Skewness (10/120)0.1614000.502800Trim. Kurtosis (10/120)-0.6392000.180200
Trim. Skewness (11/120)0.1490000.535200Trim. Kurtosis (11/120)-0.6643000.167600
Trim. Skewness (12/120)0.1215000.617000Trim. Kurtosis (12/120)-0.7139000.141600
Trim. Skewness (13/120)0.0904000.711400Trim. Kurtosis (13/120)-0.7909000.107400
Trim. Skewness (14/120)0.0775000.756600Trim. Kurtosis (14/120)-0.8334000.093000
Trim. Skewness (15/120)0.0855000.733800Trim. Kurtosis (15/120)-0.8633000.085400
Trim. Skewness (16/120)0.0801000.749000Trim. Kurtosis (16/120)-0.8995000.076800
Trim. Skewness (17/120)0.0889000.726400Trim. Kurtosis (17/120)-0.9254000.070200
Trim. Skewness (18/120)0.1034000.689200Trim. Kurtosis (18/120)-0.9361000.070200
Trim. Skewness (19/120)0.1311000.617000Trim. Kurtosis (19/120)-0.9239000.078400
Trim. Skewness (20/120)0.1668000.528600Trim. Kurtosis (20/120)-0.9232000.081800
Trim. Skewness (21/120)0.2044000.447200Trim. Kurtosis (21/120)-0.9221000.085400
Trim. Skewness (22/120)0.2418000.378800Trim. Kurtosis (22/120)-0.9110000.093000
Trim. Skewness (23/120)0.2751000.322200Trim. Kurtosis (23/120)-0.8957000.103200
Trim. Skewness (24/120)0.3011000.284600Trim. Kurtosis (24/120)-0.8731000.116400
Trim. Skewness (25/120)0.3197000.262800Trim. Kurtosis (25/120)-0.8397000.136200
Trim. Skewness (26/120)0.3381000.242000Trim. Kurtosis (26/120)-0.8125000.155600
Trim. Skewness (27/120)0.3712000.207600Trim. Kurtosis (27/120)-0.7777000.180200
Trim. Skewness (28/120)0.4036000.177000Trim. Kurtosis (28/120)-0.7327000.211200
Trim. Skewness (29/120)0.4230000.161600Trim. Kurtosis (29/120)-0.6699000.262800
Trim. Skewness (30/120)0.4436000.149800Trim. Kurtosis (30/120)-0.6060000.317400
Trim. Skewness (31/120)0.4638000.138800Trim. Kurtosis (31/120)-0.5484000.373400
Trim. Skewness (32/120)0.4742000.136200Trim. Kurtosis (32/120)-0.4932000.429600
Trim. Skewness (33/120)0.4698000.147000Trim. Kurtosis (33/120)-0.4657000.465400
Trim. Skewness (34/120)0.4725000.149800Trim. Kurtosis (34/120)-0.4524000.484000
Trim. Skewness (35/120)0.4436000.186800Trim. Kurtosis (35/120)-0.5384000.412200
Trim. Skewness (36/120)0.3547000.298400Trim. Kurtosis (36/120)-0.8240000.218600
Trim. Skewness (37/120)0.2893000.406600Trim. Kurtosis (37/120)-1.0914000.111800
Trim. Skewness (38/120)0.2468000.484000Trim. Kurtosis (38/120)-1.2011000.085400
Trim. Skewness (39/120)0.2289000.528600Trim. Kurtosis (39/120)-1.2086000.091000
Trim. Skewness (40/120)0.1900000.610000Trim. Kurtosis (40/120)-1.2758000.080200
 
Charts produced by software:
 
Parameters (Session):
 
Parameters (R input):
 
R code (references can be found in the software module):
 





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Software written by Ed van Stee & Patrick Wessa


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