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ppcor: An R Package for a Fast Calculation to Semi-partial Correlation Coefficients.

Seongho Kim1

  • 1Biostatistics Core, Karmanos Cancer Institute, Wayne State University.

Communications for Statistical Applications and Methods
|December 22, 2015
PubMed
Summary
This summary is machine-generated.

A new matrix formula simplifies calculating higher-order semi-partial correlations, also known as part correlations. This advancement enables fast computation and is implemented in the R package ppcor for easier statistical analysis.

Keywords:
correlationpart correlationpartial correlationppcorsemi-partial correlation

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Area of Science:

  • Statistics
  • Computational Statistics
  • Psychometrics

Background:

  • Calculating higher-order semi-partial correlations (part correlations) is computationally intensive due to the lack of a general matrix formula.
  • Existing recursive methods require numerous calculations, hindering practical implementation.

Purpose of the Study:

  • To derive a general matrix formula for the fast computation of higher-order semi-partial correlations.
  • To implement this formula in an R package for user accessibility.

Main Methods:

  • Derivation of a novel general matrix formula for semi-partial correlation.
  • Implementation of the formula within the R package 'ppcor', alongside partial correlation calculations.

Main Results:

  • The derived matrix formula significantly reduces computational burden for calculating semi-partial correlations.
  • The 'ppcor' R package provides efficient computation of both partial and semi-partial correlation coefficients.
  • The package includes statistical significance testing for these coefficients.

Conclusions:

  • The general matrix formula offers a computationally efficient solution for higher-order semi-partial correlations.
  • The 'ppcor' package democratizes the use of semi-partial and partial correlations in statistical analysis.
  • Researchers can now easily obtain and interpret these correlation coefficients and their significance.