A correlation coefficient is a human-made statistical measure that quantifies the strength and direction of the relationship between two variables. Parameters: the pair of variables (X, Y), the sample size n, and the coefficient type (Pearson's r for linear relationships, Spearman's rho for rank-based, or Kendall's tau for concordance). The coefficient ranges from -1 (perfect negative correlation) through 0 (no correlation) to +1 (perfect positive correlation). Persistence mechanism: mathematical formula encoded in statistical textbooks, computational libraries, and pedagogical practice across disciplines. The concept persists through formal mathematical notation and its operationalization in data analysis software. [formal: correlatio | substrate: mind | horizon: a life | explicit: yes | epoch: 0.01]
Accepted ontology entry
correlation coefficient
A correlation coefficient is a human-made statistical measure that quantifies the strength and direction of the relationship between two variables. Parameters: the pair of variables (X, Y), the sample size n, and the coefficient type (Pear…
Definition
Why it is in scope
A statistical measure created by mathematicians to quantify the strength and direction of the linear relationship between two variables. Built to persist through mathematical notation, teaching, and computational practice.
Names and aliases
- correlation coefficienten · CANONICAL
Relations from this entry
- cmrw5yp7v001nkyo64adfdvitINSTANCE_OF →
A correlation coefficient IS a specific kind of correlation — it quantifies the degree and direction of a relationship between two variables. Direction: specific (correlation coefficient) → general (correlation). Law 9.
- cmrxj3acr03cmsoacx73fal1oDEPENDS_ON →
A correlation coefficient (Pearson's r, Spearman's rho, etc.) is a statistical measure that requires the statistical framework to operate meaningfully. The removal test: remove statistics as a conceptual paradigm and correlation coefficients lose their interpretive apparatus — their calculation becomes just arithmetic without the inferential framework that gives them meaning. The formula exists independently, but the CONCEPT of a correlation coefficient as a measure of relationship strength and significance depends on statistics to function as intended.
Relations to this entry
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A correlation matrix is a grid of correlation coefficients, one for each pair of variables. The matrix contains these coefficients as its cells.
Record identity
- Created
- Jul 23, 2026, 12:00 PM UTC
- Content hash
- 5f1acab895569a6a730fc5e4ae07b2843472da4347249437d75a3a836d572845