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Related Experiment Videos

Are our data symmetric?

Sumithra J Mandrekar1, Jayawant N Mandrekar

  • 1Department of Health Sciences Research, Mayo Clinic, Rochester, MN 55905, USA. mandrekar.sumithra@mayo.edu

Statistical Methods in Medical Research
|December 5, 2003
PubMed
Summary
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This study evaluates three methods for assessing data distribution symmetry, crucial for statistical analysis. It introduces practical functions to compare traditional skewness coefficients, L-moments, and asymptotic symmetry tests.

Area of Science:

  • Statistics
  • Data Analysis

Background:

  • Data symmetry is vital for accurate statistical analysis, including parametric methods and data transformations.
  • Skewness quantifies asymmetry in data distributions, impacting analytical choices.

Purpose of the Study:

  • To compare three distinct methods for assessing statistical skewness.
  • To provide practical tools for evaluating data symmetry.

Main Methods:

  • Calculation of the traditional coefficient of skewness.
  • Application of a skewness index based on L-moments.
  • Utilizing an asymptotic test of symmetry.

Main Results:

  • The study details the advantages and disadvantages of each skewness assessment technique.

Related Experiment Videos

  • Easy-to-implement S-PLUS functions are provided for practical application.

    • Conclusions:

    • Understanding data distribution symmetry is essential for appropriate statistical modeling.
    • The presented methods and functions offer researchers robust tools for skewness assessment.