Typically called by manual_tour(). Creates a (p, d) orthonormal matrix, the manipulation space from the given basis right concatenated with a zero vector, with manip_var set to 1.

create_manip_space(basis, manip_var = manip_var_of(basis))

Arguments

basis

A (p, d) orthonormal numeric matrix, the linear combination the original variables contribute to projection frame. Required, no default.

manip_var

The number of the variable/column to rotate. Defaults to manip_var_of(basis), the variable with the largest contribution in the basis.

Value

A (p, d + 1) orthonormal matrix, the manipulation space to manipulate the projection in.

See also

Other manual tour adjacent functions: interpolate_manual_tour(), manip_var_of(), manual_tour(), rotate_manip_space()

Examples

## Setup
dat_std <- scale_sd(wine[, 2:6])
bas <- basis_pca(dat_std)
mv <- manip_var_of(bas)
create_manip_space(basis = bas, manip_var = mv)
#>                   PC1        PC2   manip_sp
#> Alcohol    0.09339195  0.6578986  0.3355553
#> Malic      0.42873573 -0.1335841 -0.4431762
#> Ash        0.65072062  0.1843494 -0.4291688
#> Alcalinity 0.57844161 -0.4342966  0.6905011
#> Magnesium  0.22233218  0.5715999  0.1732622

## d = 1 case 
bas1d <- basis_pca(dat_std, d = 1)
mv <- manip_var_of(bas1d)
create_manip_space(bas1d, mv)
#>                   PC1    manip_sp
#> Alcohol    0.09339195 -0.08003514
#> Malic      0.42873573 -0.36741847
#> Ash        0.65072062  0.75931724
#> Alcalinity 0.57844161 -0.49571360
#> Magnesium  0.22233218 -0.19053450