Skip to content

Coordinates act and supp#224

Open
ouakouak wants to merge 2 commits into
MaxHalford:masterfrom
ouakouak:coordinates-act-and-supp
Open

Coordinates act and supp#224
ouakouak wants to merge 2 commits into
MaxHalford:masterfrom
ouakouak:coordinates-act-and-supp

Conversation

@ouakouak
Copy link
Copy Markdown

Follows #223 (1st commit).

In this PR, as discussed when I opened the issue, I changed the way coordinates are computed.

More specifically, in your current implementation (which follows FactoMineR), the so-called coordinates actually correspond to the inertia of active variables (i.e. squared coordinates for numerical variables and η2 for categorical variables). However, these quantities are not genuine coordinates, and this can be quite confusing for users.

In contrast, following the theory proposed by Pagès (2004), I keep the coordinates obtained directly from the PCA performed on the preprocessed data, without aggregating modality coordinates back to the level of their original variables.
Supplementary variables are also projected using the same PCA framework. As a result, the coordinates now consist of a concatenation of:

active numerical variables,
active modalities,
supplementary numerical variables,
and supplementary modalities.
Overall, this approach ensures that all reported coordinates are consistent with the underlying geometric definition, rather than being derived from inertia-related quantities.

Lenny Ouakil added 2 commits May 25, 2026 15:21
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

1 participant