THE BIVARIATE CORRELATION COEFFICIENT: FROM CONCEPT TO APPLICATION

The bivariate correlation coefficient is among the most fundamental and widely applied measures in statistical analysis, offering a quantitative assessment of the association between two continuous variables. This brief review revisits the essential concept of correlation, distinguishing the tendency of variables to vary together from the frequently misunderstood notion of causation. Its practical value is demonstrated through a biomedical example involving two hematological variables. Particular emphasis is placed on Pearson’s product-moment correlation coefficient (r), with attention to its computation, underlying assumptions, and interpretation. The discussion also contrasts Pearson’s r with Spearman’s rank correlation coefficient (ρ), clarifying their appropriate use for data following normal and non-normal distributions, respectively.

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Journal
Central Asian Journal of Medical Hypotheses and Ethics
Published
2025-12-31
DOI
https://doi.org/10.47316/cajmhe.2025.6.4.03
Primary Topic
Advanced Statistical Modeling Techniques
Type
article
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article

THE BIVARIATE CORRELATION COEFFICIENT: FROM CONCEPT TO APPLICATION

Farrokh Habibzadeh
Central Asian Journal of Medical Hypotheses and Ethics
Advanced Statistical Modeling Techniques
article

THE BIVARIATE CORRELATION COEFFICIENT: FROM CONCEPT TO APPLICATION

Farrokh Habibzadeh
article en

Abstract

The bivariate correlation coefficient is among the most fundamental and widely applied measures in statistical analysis, offering a quantitative assessment of the association between two continuous variables. This brief review revisits the essential concept of correlation, distinguishing the tendency of variables to vary together from the frequently misunderstood notion of causation. Its practical value is demonstrated through a biomedical example involving two hematological variables. Particular emphasis is placed on Pearson’s product-moment correlation coefficient (r), with attention to its computation, underlying assumptions, and interpretation. The discussion also contrasts Pearson’s r with Spearman’s rank correlation coefficient (ρ), clarifying their appropriate use for data following normal and non-normal distributions, respectively.

Central Asian Journal of Medical Hypotheses and EthicsVol. 6(4)
Shiraz University (IR)
Openalex Percentile: Top 31%
Advanced Statistical Modeling Techniques
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