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P-value calculation methods for semi-partial correlation coefficients.

Seongho Kim1

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

Communications for Statistical Applications and Methods
|June 27, 2022
PubMed
Summary
This summary is machine-generated.

Kim (2015) proposed a p-value calculation method for semi-partial correlations that maintains monotonicity, unlike Cohen et al. (2003). This finding is crucial for accurate statistical analysis in research.

Keywords:
correlationpart correlationpartial correlationppcorsemi-partial correlation

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Area of Science:

  • Statistics
  • Psychometrics
  • Quantitative Psychology

Background:

  • Partial and semi-partial correlation coefficients are vital in statistical analysis.
  • Existing p-value calculation methods, such as those by Cohen et al. (2003) and Kim (2015), have differing approaches.
  • A key difference lies in the mathematical expressions for semi-partial correlation p-values.

Purpose of the Study:

  • To compare the p-value calculation methods for partial and semi-partial correlation coefficients proposed by Cohen et al. (2003) and Kim (2015).
  • To theoretically and empirically evaluate the differences in their statistical underpinnings and practical applications.

Main Methods:

  • Theoretical comparison of the mathematical formulas for p-value calculation.
  • Simulation studies to assess the behavior of each method under various conditions.
  • Analysis of monotonicity between correlation coefficients and their corresponding p-values.

Main Results:

  • The p-value calculation method proposed by Kim (2015) demonstrates monotonicity with semi-partial correlation coefficients.
  • The method by Cohen et al. (2003) does not consistently maintain monotonicity between semi-partial correlation coefficients and their p-values.
  • Differences in statistical approaches lead to distinct outcomes in p-value behavior.

Conclusions:

  • Kim (2015)'s method offers a more statistically sound approach for calculating p-values for semi-partial correlations due to its monotonic property.
  • The findings highlight the importance of selecting appropriate statistical methods for accurate interpretation of correlation analyses.
  • Researchers should be aware of the limitations of different p-value calculation techniques in statistical software and reporting.