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Skewness and Kurtosis

Skewness

The coefficient of Skewness is a measure for the degree of symmetry in the variable distribution (Sheskin, 2011).

Skewness: negatively skewed distribution Skewness: normal distribution Skewness: positively skewed distribution
Negatively skewed distribution
or Skewed to the left
Skewness <0
Normal distribution
Symmetrical
Skewness = 0
Positively skewed distribution
or Skewed to the right
Skewness > 0

Kurtosis

The coefficient of Kurtosis is a measure for the degree of tailedness in the variable distribution (Westfall, 2014).

Kurtosis: platykurtic distribution Kurtosis: normal distribution Kurtosis: leptokurtic distribution
Platykurtic distribution
Thinner tails
Kurtosis <0
Normal distribution
Mesokurtic distribution
Kurtosis = 0
Leptokurtic distribution
Fatter tails
Kurtosis > 0

Literature

  • Sheskin DJ (2011) Handbook of parametric and nonparametric statistical procedures. 5th ed. Boca Raton: Chapman & Hall /CRC. Buy from Amazon
  • Westfall PH (2014) Kurtosis as Peakedness, 1905 - 2014. R.I.P. The American Statistician 68:191-195. PubMed

See also

External links

Recommended book

Book cover

Handbook of Parametric and Nonparametric Statistical Procedures, Fifth Edition
David J. Sheskin

Buy from Amazon

The Handbook of Parametric and Nonparametric Statistical Procedures, provides researchers, teachers, and students with an all-inclusive reference on univariate, bivariate, and multivariate statistical procedures.