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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 22:48:48 +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/t1291157205ndpb83m6spncijy.htm/, Retrieved Tue, 30 Nov 2010 23:46:45 +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/t1291157205ndpb83m6spncijy.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 «
0,007348126 -0,00488491 -0,01594781 0,003647556 -0,026872146 -8,40109E-05 -0,013049004 -0,003128185 0,007692948 0,006884938 -0,002367655 -0,000509038 0,006069432 -0,01334565 -0,015554545 -0,012618075 -0,001383839 -0,001759217 0,001296955 -0,000462754 0,004788707 0,003557194 -0,022845698 0,018922011 -0,010483319 -0,006051665 -0,00488353 0,003930294 0,005970755 0,006261051 -0,000557026 -0,000836881 -0,009599099 0,006329145 -0,016437309 0,000681246 0,003293795 0,004703423 -0,004896486 0,00327045 0,005238839 -0,004472887 0,000669101 -0,004898652 0,001157605 -0,016394122 0,013203254 0,005880006 -0,00841064 -0,004316493 -0,017400254 -0,00174808 -0,012013722 -0,006617542 -0,005520079 0,000435492 -0,016637421 -0,001585845 0,000906906 -0,006158691 -0,012822293 0,000591118 -0,023796259 0,013757084 -0,006578499 0,016735801 -0,01981548 0,007476398 0,017038013 -0,011004372 0,014495504 -0,009491232 -0,008010614 -0,004487932 0,007254531 0,003225417 etc...
 
Output produced by software:



Skewness and Kurtosis - Ungrouped Data
Skewness MeasureValueKurtosis MeasureValue
FISHER 3rd Cent. Mom.-0.000000FISHER 4th Cent. Mom.0.000000
FISHER beta 10.036400FISHER beta 22.706927
FISHER gamma 1-0.190787FISHER gamma 2-0.293073
FISHER gamma 1 (S.E.)0.224544FISHER gamma 2 (S.E.)0.449089
FISHER Test 1-0.849662FISHER Test 2-0.652596
FISHER Test 1 Probability0.395400FISHER Test 2 Probability0.509200
Pearson 2-0.337169
Yule using Quartile definition:
Weighted Average at Xnp
-0.180240
Yule using Quartile definition:
Weighted Average at X(n+1)p
-0.168294
Yule using Quartile definition:
Empirical Distribution Function
-0.168294
Yule using Quartile definition:
Empirical Distribution Function - Averaging
-0.168294
Yule using Quartile definition:
Empirical Distribution Function - Interpolation
-0.173650
Yule using Quartile definition:
Closest Observation
-0.179321
Yule using Quartile definition:
True Basic - Statistics Graphics Toolkit
-0.168294
Yule using Quartile definition:
MS Excel (old versions)
-0.168294
Skewness Measure (small sample)ValueKurtosis Measure (small sample)Value
Skewness (small sample)-0.193231Kurtosis (small sample)-0.253604
Skewness S.E. (small sample)0.221782Kurtosis S.E. (small sample)0.440097
TEST 1 (small sample)-0.871265TEST 1 (small sample)-0.576247
TEST 1 Prob. (small sample)0.378800TEST 1 Prob. (small sample)0.562000
Observations119



Trimmed Skewness and Kurtosis (small sample) - Ungrouped Data
Skewness Measure (small sample)ValueProbabilityKurtosis Measure (small sample)ValueProbability
Trim. Skewness (0/119)-0.1932000.378800Trim. Kurtosis (0/119)-0.2536000.562000
Trim. Skewness (1/119)-0.1706000.441200Trim. Kurtosis (1/119)-0.3752000.395400
Trim. Skewness (2/119)-0.1735000.441200Trim. Kurtosis (2/119)-0.4691000.293800
Trim. Skewness (3/119)-0.1720000.447200Trim. Kurtosis (3/119)-0.5025000.262800
Trim. Skewness (4/119)-0.1769000.435400Trim. Kurtosis (4/119)-0.5557000.218600
Trim. Skewness (5/119)-0.1646000.471600Trim. Kurtosis (5/119)-0.6084000.183600
Trim. Skewness (6/119)-0.1506000.515600Trim. Kurtosis (6/119)-0.6866000.136200
Trim. Skewness (7/119)-0.1591000.496400Trim. Kurtosis (7/119)-0.7517000.107400
Trim. Skewness (8/119)-0.1686000.477600Trim. Kurtosis (8/119)-0.8095000.085400
Trim. Skewness (9/119)-0.1849000.441200Trim. Kurtosis (9/119)-0.8329000.080200
Trim. Skewness (10/119)-0.2017000.400800Trim. Kurtosis (10/119)-0.8510000.075000
Trim. Skewness (11/119)-0.2247000.357600Trim. Kurtosis (11/119)-0.8666000.073400
Trim. Skewness (12/119)-0.2529000.303000Trim. Kurtosis (12/119)-0.8986000.065800
Trim. Skewness (13/119)-0.2630000.289200Trim. Kurtosis (13/119)-0.9222000.061400
Trim. Skewness (14/119)-0.2725000.280200Trim. Kurtosis (14/119)-0.9480000.057400
Trim. Skewness (15/119)-0.2748000.280200Trim. Kurtosis (15/119)-0.9708000.053600
Trim. Skewness (16/119)-0.2729000.289200Trim. Kurtosis (16/119)-1.0090000.047800
Trim. Skewness (17/119)-0.2800000.280200Trim. Kurtosis (17/119)-1.0075000.051200
Trim. Skewness (18/119)-0.2862000.275800Trim. Kurtosis (18/119)-0.9962000.056200
Trim. Skewness (19/119)-0.2914000.271400Trim. Kurtosis (19/119)-0.9825000.062800
Trim. Skewness (20/119)-0.2921000.280200Trim. Kurtosis (20/119)-0.9664000.070200
Trim. Skewness (21/119)-0.2908000.284600Trim. Kurtosis (21/119)-0.9518000.078400
Trim. Skewness (22/119)-0.2890000.293800Trim. Kurtosis (22/119)-0.9392000.085400
Trim. Skewness (23/119)-0.2893000.303000Trim. Kurtosis (23/119)-0.9257000.095000
Trim. Skewness (24/119)-0.2902000.307800Trim. Kurtosis (24/119)-0.9189000.101000
Trim. Skewness (25/119)-0.2839000.322200Trim. Kurtosis (25/119)-0.9232000.105200
Trim. Skewness (26/119)-0.2777000.342200Trim. Kurtosis (26/119)-0.9075000.114200
Trim. Skewness (27/119)-0.2753000.352400Trim. Kurtosis (27/119)-0.8874000.128600
Trim. Skewness (28/119)-0.2663000.373400Trim. Kurtosis (28/119)-0.8788000.138800
Trim. Skewness (29/119)-0.2667000.378800Trim. Kurtosis (29/119)-0.8558000.155600
Trim. Skewness (30/119)-0.2694000.384400Trim. Kurtosis (30/119)-0.8364000.170600
Trim. Skewness (31/119)-0.2627000.400800Trim. Kurtosis (31/119)-0.8475000.170600
Trim. Skewness (32/119)-0.2315000.471600Trim. Kurtosis (32/119)-0.8928000.158600
Trim. Skewness (33/119)-0.1823000.575400Trim. Kurtosis (33/119)-0.9590000.136200
Trim. Skewness (34/119)-0.1438000.660000Trim. Kurtosis (34/119)-1.0138000.121200
Trim. Skewness (35/119)-0.0946000.779400Trim. Kurtosis (35/119)-1.0890000.101000
Trim. Skewness (36/119)-0.1038000.764200Trim. Kurtosis (36/119)-1.0726000.114200
Trim. Skewness (37/119)-0.0988000.779400Trim. Kurtosis (37/119)-1.0639000.123600
Trim. Skewness (38/119)-0.1077000.764200Trim. Kurtosis (38/119)-1.0448000.138800
Trim. Skewness (39/119)-0.1059000.771800Trim. Kurtosis (39/119)-1.0321000.152800
Trim. Skewness (40/119)-0.1331000.718800Trim. Kurtosis (40/119)-0.9983000.177000
 
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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