Generate a vector to map polytomous vector to integers

Creates a general bijection vector.

attribute_gen_bijection(K, M)

Arguments

K	Number of Attributes
M	Number of Responses

Value

A vec with length \(K\) detailing the power's of \(M\).

Details

The bijection vector generated is \(\mathbf v = (M^{K-1},M^{K-2}, \dots, 1)^\top\).

See also

attribute_inv_gen_bijection() and attribute_bijection()

Author

Steven Andrew Culpepper and James Joseph Balamuta

Examples

## Construct an attribute bijection for M responses ----
biject_ternary = attribute_gen_bijection(5, 3)
biject_ternary
#>      [,1]
#> [1,]   81
#> [2,]   27
#> [3,]    9
#> [4,]    3
#> [5,]    1

## Construct an attribute bijection for binary responses ----
biject_binary = attribute_gen_bijection(5, 2)
biject_binary
#>      [,1]
#> [1,]   16
#> [2,]    8
#> [3,]    4
#> [4,]    2
#> [5,]    1

## Construct an attribute bijection for binary responses ----
biject_default = attribute_bijection(5)
biject_default
#>      [,1]
#> [1,]   16
#> [2,]    8
#> [3,]    4
#> [4,]    2
#> [5,]    1