# Estimate a multilevel mediation model

### Description

Estimates a Bayesian multilevel mediation model using Stan.

### Usage

1 2 |

### Arguments

`d` |
A |

`id` |
Column of participant IDs in |

`x` |
Column of X values in |

`m` |
Column of M values in |

`y` |
Column of Y values in |

`priors` |
A list of named values to be used as the prior scale and shape parameters. See details. |

`binary_y` |
Set to TRUE if y is binary and should be modelled with logistic regression. Defaults to FALSE (y treated as continuous.) |

`...` |
Other optional parameters passed to |

### Details

Draw samples from the joint posterior distribution of a multilevel mediation model using Stan.

#### Priors

Users may pass a list of named values for the `priors`

argument. This
list may specify some or all of the following parameters:

- dy, dm
Regression intercepts (for Y and M as outcomes, respectively.)

- a, b, cp
Regression slopes.

- tau_x
Varying effects SDs for above parameters (e.g replace x with a.)

- lkj_shape
Shape parameter for the LKJ prior.

See examples for specifying the following: Gaussian distributions with SD = 10 as priors for the intercepts, Gaussians with SD = 2 for the slopes, Half-Cauchy distributions with scale parameters 1 for the varying effects SDs, and an LKJ prior of 2.

### Value

An object of S4 class stanfit, with all its available methods.

### Author(s)

Matti Vuorre mv2521@columbia.edu

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 | ```
## Not run:
## Run example from Bolger and Laurenceau (2013)
data(BLch9)
fit <- mlm(BLch9)
mlm_summary(fit)
### With priors
Priors <- list(dy = 10, dm = 10, a = 2, b = 2, cp = 2,
tau_dy = 1, tau_dm = 1, tau_a = 1, tau_b = 1, tau_cp = 1,
lkj_shape = 2)
fit <- mlm(BLch9, priors = Priors)
## End(Not run)
``` |

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