stan_glmer(formula, data = NULL, family = gaussian, subset, weights, na.action = getOption("na.action", "na.omit"), offset, contrasts = NULL, ..., prior = normal(), prior_intercept = normal(), prior_ops = prior_options(), prior_covariance = decov(), prior_PD = FALSE, algorithm = c("sampling", "meanfield", "fullrank"), adapt_delta = NULL, QR = FALSE, sparse = FALSE)
stan_lmer(formula, data = NULL, subset, weights, na.action = getOption("na.action", "na.omit"), offset, contrasts = NULL, ..., prior = normal(), prior_intercept = normal(), prior_ops = prior_options(), prior_covariance = decov(), prior_PD = FALSE, algorithm = c("sampling", "meanfield", "fullrank"), adapt_delta = NULL, QR = FALSE)
stan_glmer.nb(formula, data = NULL, subset, weights, na.action = getOption("na.action", "na.omit"), offset, contrasts = NULL, link = "log", ..., prior = normal(), prior_intercept = normal(), prior_ops = prior_options(), prior_covariance = decov(), prior_PD = FALSE, algorithm = c("sampling", "meanfield", "fullrank"), adapt_delta = NULL, QR = FALSE)
glmer
.glm
.glm
, but rarely
specified.prior
can be a call to normal
, student_t
,
cauchy
, hs
or hs_plus
. See priors
for
details. To to omit a prior ---i.e., to use a flat (improper) uniform
prior--- set prior
to NULL
.prior_intercept
can be a call to normal
, student_t
or
cauchy
. See priors
for details. To to omit a prior
---i.e., to use a flat (improper) uniform prior--- set
prior_intercept
to NULL
. (Note: if a dense
representation of the design matrix is utilized ---i.e., if the
sparse
argument is left at its default value of FALSE
--- then
the prior distribution for the intercept is set so it applies to the value
when all predictors are centered.)NULL
to omit a prior on the dispersion and see
prior_options
otherwise.NULL
; see decov
for
more information about the default arguments.FALSE
) indicating
whether to draw from the prior predictive distribution instead of
conditioning on the outcome."sampling"
for MCMC (the
default), "optimizing"
for optimization, "meanfield"
for
variational inference with independent normal distributions, or
"fullrank"
for variational inference with a multivariate normal
distribution. See rstanarm-package
for more details on the
estimation algorithms. NOTE: not all fitting functions support all four
algorithms.algorithm="sampling"
. See
adapt_delta
for details.FALSE
) but if TRUE
applies a scaled qr
decomposition to the design matrix,
$X = Q* R*$, where
$Q* = Q (n-1)^0.5$ and
$R* = (n-1)^(-0.5) R$. The coefficients
relative to $Q*$ are obtained and then premultiplied by the
inverse of $R*$ to obtain coefficients relative to the
original predictors, $X$. These transformations do not change the
likelihood of the data but are recommended for computational reasons when
there are multiple predictors. However, because the coefficients relative
to $Q*$ are not very interpretable it is hard to specify an
informative prior. Setting QR=TRUE
is therefore only recommended
if you do not have an informative prior for the regression coefficients.FALSE
) indicating
whether to use a sparse representation of the design (X) matrix.
Setting this to TRUE
will likely be twice as slow, even if the
design matrix has a considerable number of zeros, but it may allow the
model to be estimated when the computer has too little RAM to
utilize a dense design matrix. If TRUE
, the the design matrix
is not centered (since that would destroy the sparsity) and it is
not possible to specify both QR = TRUE
and sparse = TRUE
.stan_glmer.nb
only, the link function to use. See
neg_binomial_2
.stan_glmer, stan_lmer, stan_glmer.nb
.
stan_glmer
function is similar in syntax to
glmer
but rather than performing (restricted) maximum
likelihood estimation of generalized linear models, Bayesian estimation is
performed via MCMC. The Bayesian model adds independent priors on the
regression coefficients (in the same way as stan_glm
) and
priors on the terms of a decomposition of the covariance matrices of the
group-specific parameters. See priors
for more information
about the priors.
The stan_lmer
function is equivalent to stan_glmer
with
family = gaussian(link = "identity")
.
The stan_glmer.nb
function, which takes the extra argument
link
, is a simple wrapper for stan_glmer
with
family = neg_binomial_2(link)
.
stanreg-methods
and
glmer
.The vignette for stan_glmer
and the Hierarchical
Partial Pooling vignette.
# see help(example_model) for details on the model below
if (!exists("example_model")) example(example_model)
print(example_model, digits = 1)
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