Generates an array of random responses to Likert-type questions based on specified latent variables.

## Arguments

- size
number of observations.

- n_items
number of Likert scale items (number of questions).

- n_levels
number of response categories for each item. Integer or vector of integers.

- mean
means of the latent variables. Numeric or vector of numerics. Defaults to 0.

- sd
standard deviations of the latent variables. Numeric or vector of numerics. Defaults to 1.

- skew
marginal skewness of the latent variables. Numeric or vector of numerics. Defaults to 0.

- corr
correlations between latent variables. Can be a single numeric value representing the same correlation for all pairs, or an actual correlation matrix. Defaults to 0.

## Value

A matrix of random responses with dimensions `size`

by
`n_items`

. The column names are `Y1, Y2, ..., Yn`

where
`n`

is the number of items. Each entry in the matrix represents
a Likert scale response, ranging from 1 to `n_levels`

.

## Examples

```
# Generate responses for a single item with 5 levels
rlikert(size = 10, n_items = 1, n_levels = 5)
#> [1] 3 5 4 3 3 2 2 3 4 4
# Generate responses for three items with different levels and parameters
rlikert(
size = 10, n_items = 3, n_levels = c(4, 5, 6),
mean = c(0, -1, 0), sd = c(0.8, 1, 1), corr = 0.5
)
#> Y1 Y2 Y3
#> [1,] 3 1 3
#> [2,] 2 1 3
#> [3,] 3 4 2
#> [4,] 2 1 2
#> [5,] 2 2 2
#> [6,] 3 2 2
#> [7,] 3 4 4
#> [8,] 2 1 2
#> [9,] 2 2 4
#> [10,] 3 4 4
# Generate responses with a correlation matrix
corr <- matrix(c(
1.00, -0.63, -0.39,
-0.63, 1.00, 0.41,
-0.39, 0.41, 1.00
), nrow = 3)
data <- rlikert(
size = 1000, n_items = 3, n_levels = c(4, 5, 6),
mean = c(0, -1, 0), sd = c(0.8, 1, 1), corr = corr
)
```