brms's names for the parameters of a fit, which are the names
hypothesis() expressions accept: fixed-effect coefficients with
brms's b_ prefix (b_Intercept, b_x, and b_sigma_Intercept
for a coefficient of a sigma formula), natural-scale random-effect
summaries (sd_<group>__<coef>, cor_<group>__<coef1>__<coef2>,
with a distributional or nonlinear parameter's name in the
coefficient part, sd_g__sigma_Intercept), and a distributional
parameter nobody wrote a formula for, on its natural scale (sigma,
shape, sigma_ya). Every name is spelled through brms's renaming:
b_IxE2 for I(x^2), sd_g:h__Intercept for (1 | g:h).
Details
For sampled fits, variables() on the frmtmb.sample::frm_sample()
result lists the draw columns. The coefficients, the natural-scale
distributional parameters, an ordinal fit's thresholds
(b_Intercept[1]) and the cs() coefficients (bcs_<column>[1])
have the names and the values this page gives them. So do the
covariance summaries, sd_ and cor_ among them, which the draws
carry as columns computed from each draw's covariance parameters;
those are stored as the sampler sampled them, on the unconstrained
scale and under their internal names (theta_1), beside them.
brms's variables() also lists what a fit has no counterpart of:
group-level coefficients r_<group>[<level>,<coef>], the centered
Intercept, lprior and lp__. A maximum-likelihood fit has no
draws of those, and ranef() reports the conditional modes.
An ordinal fit's thresholds are b_Intercept[k], and a cs()
category-specific term contributes bcs_<column>[k], one name per
DESIGN COLUMN per category boundary. The column is the one
stats::model.matrix() builds, as it is in brms, so cs(x) on a
numeric predictor gives bcs_x[1], bcs_x[2], while cs(f) on a
factor with levels a, b and c gives the treatment-contrast pairs
bcs_fb[k] and bcs_fc[k]. See the "Category-specific effects, cs()"
section of frm().
A residual correlation term (frmtmb-autocor) contributes its
natural-scale parameters under brms's names: ar[1], ar[2],
ma[1], cosy, cortime__<t1>__<t2>.
gr(cov = ), gr(prec = ) and equalto() blocks contribute
sd_/cor_ names for their within-level covariance. A gp() term
contributes brms's sdgp_<term> and lscale_<term>. Smooths, car()
and spde() blocks contribute none: their parameters are not
standard deviations. See the "Which random-effect blocks contribute
names" section of hypothesis().