SimMultinomial {CopulaGAMM} | R Documentation |

## Simulation of multinomial clustered data

### Description

Generate a random sample of multinomial observations from a copula-based mixed regression model.

### Usage

```
SimMultinomial(
parC,
parM,
clu,
xc = NULL,
xm = NULL,
family,
rot = 0,
dfC = NULL,
offset = NULL
)
```

### Arguments

`parC` |
copula parameters |

`parM` |
matrix of dimension (L-1)x k2 of margin parameters; L is the number of levels and k2 is the number of covariates+constant for the margins |

`clu` |
vector of clusters (can be a factor) |

`xc` |
matrix of covariates for the copula, not including the constant (can be NULL) |

`xm` |
matrix of covariates for the margins, not including the constant (can be NULL) |

`family` |
copula family: "gaussian" , "t" , "clayton" , "joe", "frank" , "gumbel", "plackett" |

`rot` |
rotation: 0 (default), 90, 180 (survival), or 270 |

`dfC` |
degrees of freedom for student copula (default is NULL) |

`offset` |
offset for the margins (default is NULL) |

### Value

`y` |
Simulated factor |

### Author(s)

Bruno N. Remillard

### Examples

```
K=50 #number of clusters
n=5 #size of each cluster
N=n*K
set.seed(1)
clu=rep(c(1:K),each=n)
parC = 2
parM=matrix(c(1,-1,0.5,2),byrow=TRUE,ncol=2)
xm = runif(N)
y=SimMultinomial(parC,parM,clu,xm=xm,family="clayton",rot=90)
```

[Package

*CopulaGAMM*version 0.4.1 Index]