Latent-factor (reduced-rank) random effect: latent(0 + trait | g, d = K)

Canonical name for a reduced-rank latent-factor random effect at a grouping g. Formerly rr(0 + trait | g, d = K) – same engine, new name. The "rr" alias still works for backward compat but emits a one-shot deprecation warning per session.

Usage

latent(formula, d = 1)

Arguments

formula

0 + trait | g style formula (LHS is the response factor, typically 0 + trait; RHS is the grouping factor).

d

Integer; number of latent factors.

Value

A formula marker; never evaluated.

Details

Used inside a gllvmTMB() formula:

value ~ 0 + trait + latent(0 + trait | unit, d = 2)

For the canonical decomposition \(\boldsymbol\Sigma = \boldsymbol\Lambda \boldsymbol\Lambda^\top + \mathbf S\), add an explicit unique() term:

value ~ 0 + trait + latent(0 + trait | unit, d = 2) +
                    unique(0 + trait | unit)

See also

unique(), phylo_latent(), diag_re, extract_Sigma().