# Random draws from a multinomial distribution

### Description

One random draw from a multinomial distribution or list of multinomial distributions.

### Usage

1 | ```
rmulti(p)
``` |

### Arguments

`p` |
matrix of dimension |

### Value

Returns a vector of length `n`

. Each item represents one draw from the multinomial distribution parameterized by the outcome probabilities in each row of `p`

.

### Note

Each row of matrix `p`

must sum to 1 or `rmulti`

will not work properly.

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | ```
##
## One draw from a three-category multinomial distribution.
##
p1 <- c(0.7,0.2,0.1)
rmulti(p1)
##
## 10,000 draws from a three-category multinomial distribution.
##
n <- 10000
p2 <- matrix(p1,nrow=n,ncol=length(p1),byrow=TRUE)
rmdraws <- rmulti(p2)
table(rmdraws)/n # should be approximately 0.7, 0.2, 0.1
##
## 10,000 draws from a mixture of three groups of a
## four-category multinomial distribution.
##
group.p <- matrix(c(0.5,0.3,0.2),nrow=n,ncol=3,byrow=TRUE)
group <- rmulti(group.p)
p3 <- t(matrix(NA,nrow=n,ncol=4))
p3[,group==1] <- c(0.7,0.1,0.1,0.1)
p3[,group==2] <- c(0.1,0.7,0.1,0.1)
p3[,group==3] <- c(0.1,0.1,0.1,0.7)
p3 <- t(p3)
rmdraws3 <- rmulti(p3)
table(group,rmdraws3)
table(group,rmdraws3)/rowSums(table(group,rmdraws3))
``` |