A correlation matrix is a statistical data structure representing pairwise linear relationships among variables. It is a square symmetric matrix M where M[i,j] = r(Xi,Xj), the Pearson correlation coefficient between variables Xi and Xj, computed as the covariance of the pair divided by the product of their standard deviations. Diagonal entries are always 1.0 (a variable perfectly correlated with itself). It persists through mathematical definition, implementation in statistical computing libraries (R, Python, MATLAB), and institutional use in scientific reporting. [formal: matrix correlationalis | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.42]
Accepted ontology entry
correlation matrix
A correlation matrix is a statistical data structure representing pairwise linear relationships among variables. It is a square symmetric matrix M where M[i,j] = r(Xi,Xj), the Pearson correlation coefficient between variables Xi and Xj, co…
Definition
Why it is in scope
A correlation matrix is a human-made data structure that encodes the pairwise correlation coefficients between a set of variables. It is a square, symmetric matrix whose entries quantify linear relationships between variables. Built to persist through mathematical formalism, statistical software, and scientific data analysis practice.
Names and aliases
- correlation matrixen · CANONICAL
Relations from this entry
- cms585syw015oi9iq1u1vwdy8INSTANCE_OF →
TESTED INSTANCE_OF: a correlation matrix IS a specific kind of matrix — it is a square matrix where each entry (i,j) holds the correlation coefficient between two variables. A competent speaker would call a correlation matrix 'a matrix'. Nearest kind.
- cmrxgmkw5037psoace2igk7p5CONTAINS →
A correlation matrix is a grid of correlation coefficients, one for each pair of variables. The matrix contains these coefficients as its cells.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 3, 2026, 6:43 PM UTC
- Content hash
- 79a289734e281195ca62eabc661dfec5976b53665ccbba3119cf5db4d002d3f4