# MCMC-recover

##### Compare MCMC estimates to "true" parameter values

Plots comparing MCMC estimates to "true" parameter values. Before fitting a
model to real data it is useful to simulate data according to the model using
known (fixed) parameter values and to check that these "true" parameter
values are (approximately) recovered by fitting the model to the simulated
data. See the **Plot Descriptions** section, below, for details on the
available plots.

##### Usage

```
mcmc_recover_intervals(x, true, batch = rep(1, length(true)),
facet_args = list(), ..., prob = 0.5, prob_outer = 0.9,
point_est = c("median", "mean", "none"), size = 4, alpha = 1)
```mcmc_recover_scatter(x, true, batch = rep(1, length(true)),
facet_args = list(), ..., point_est = c("median", "mean"), size = 3,
alpha = 1)

mcmc_recover_hist(x, true, facet_args = list(), ..., binwidth = NULL,
breaks = NULL)

##### Arguments

- x
A 3-D array, matrix, list of matrices, or data frame of MCMC draws. The MCMC-overview page provides details on how to specify each these allowed inputs.

- true
A numeric vector of "true" values of the parameters in

`x`

. There should be one value in`true`

for each parameter included in`x`

and the order of the parameters in`true`

should be the same as the order of the parameters in`x`

.- batch
Optionally, a vector-like object (numeric, character, integer, factor) used to split the parameters into batches. If

`batch`

is specified, it must have the same length as`true`

and be in the same order as`true`

. Parameters in the same batch will be grouped together in the same facet in the plot (see the**Examples**section, below). The default is to group all parameters together into a single batch. Changing the default is most useful when parameters are on very different scales, in which case`batch`

can be used to group them into batches within which it makes sense to use the same \(y\)-axis.- facet_args
A named list of arguments (other than

`facets`

) passed to`facet_wrap`

or`facet_grid`

to control faceting.- ...
Currently unused.

- prob
The probability mass to include in the inner interval. The default is

`0.5`

(50% interval).- prob_outer
The probability mass to include in the outer interval. The default is

`0.9`

(90% interval).- point_est
The point estimate to show. Either

`"median"`

(the default),`"mean"`

, or`"none"`

.- size, alpha
Passed to

`geom_point`

to control the appearance of plotted points.- binwidth
Passed to

`geom_histogram`

to override the default binwidth.- breaks
Passed to

`geom_histogram`

as an alternative to`binwidth`

.

##### Value

A ggplot object that can be further customized using the ggplot2 package.

##### Plot Descriptions

`mcmc_recover_intervals`

Central intervals and point estimates computed from MCMC draws, with "true" values plotted using a different shape.

`mcmc_recover_scatter`

Scatterplot of posterior means (or medians) against "true" values.

`mcmc_recover_hist`

Histograms of the draws for each parameter with the "true" value overlaid as a vertical line.

##### See Also

Other MCMC: `MCMC-combos`

,
`MCMC-diagnostics`

,
`MCMC-distributions`

,
`MCMC-intervals`

, `MCMC-nuts`

,
`MCMC-overview`

, `MCMC-parcoord`

,
`MCMC-scatterplots`

,
`MCMC-traces`

##### Examples

```
# NOT RUN {
library(rstanarm)
alpha <- 1; beta <- rnorm(10, 0, 3); sigma <- 2
X <- matrix(rnorm(1000), 100, 10)
y <- rnorm(100, mean = c(alpha + X %*% beta), sd = sigma)
fit <- stan_glm(y ~ ., data = data.frame(y, X))
draws <- as.matrix(fit)
print(colnames(draws))
true <- c(alpha, beta, sigma)
mcmc_recover_intervals(draws, true)
# put the coefficients on X into the same batch
mcmc_recover_intervals(draws, true, batch = c(1, rep(2, 10), 1))
# equivalent
mcmc_recover_intervals(draws, true, batch = grepl("X", colnames(draws)))
# same but facets stacked vertically
mcmc_recover_intervals(draws, true,
batch = grepl("X", colnames(draws)),
facet_args = list(ncol = 1),
size = 3)
# each parameter in its own facet
mcmc_recover_intervals(draws, true, batch = 1:ncol(draws))
# same but in a different order
mcmc_recover_intervals(draws, true, batch = c(1, 3, 4, 2, 5:12))
# present as bias by centering with true values
mcmc_recover_intervals(sweep(draws, 2, true), rep(0, ncol(draws))) + hline_0()
# scatterplot of posterior means vs true values
mcmc_recover_scatter(draws, true, point_est = "mean")
# histograms of parameter draws with true value added as vertical line
color_scheme_set("brightblue")
mcmc_recover_hist(draws[, 1:4], true[1:4])
# }
# NOT RUN {
# }
```

*Documentation reproduced from package bayesplot, version 1.6.0, License: GPL (>= 3)*