Mind map·Part 3 · Chapter 24·Book version: 2026-08-06

Factor analysis

Seeing in a plane, and naming the super-criteria — a reduction that cannot be interpreted was useless

Mind map of chapter 24: a table is two clouds, and the duality scheme — table, metric, weights — is the common frame that PCA and CA fill in two ways. PCA calls structure linear association, CA calls it dependence: zero correlation does not imply independence, zero inertia in CA does. On the table, PCA carries 84.9 % of the inertia on one axis opposing nine criteria to the primacy of common law alone — the single crossing of chapter 21, recovered geometrically. The PCA/CA convergence at +0.94 is a coherence check, not a discovery. Ten criteria measure roughly one.

#ACP#AFC#dualité#inertie#réduction#redondance