Specify and Implement Restrictions on the Location Parameters¶

Description¶

restrictor creates a linear transformation that maps a small set of linearly unrestriced parameters to a larger set of linearly restricted parameters.

set.parms.free specifies a call to restrictor in which only the specified parameters are allowed to differ from zero.

Usage¶

restrictor(C,d=numeric(m),sign=7)

set.parms.free(...)

Arguments¶

C: The matrix involved in the linear restriction \(C\alpha=d\).
d: The vector involved in the linear restriction \(C\alpha=d\).
sign: The number of significant digits to use for rounding to compensate finite machine precision in computing the QR decomposition.
...: several character vector arguments. Each character vector corresponds to one of the axes of the latent space, and each character string in a vector corresponds to the name of a policy objective that can obtain coordinate values different from zero.

Value¶

The values of these functions are for internal use only.

If \(C\alpha=d\) then \(\alpha=Q\phi+r\). The function restrictor returns a list with the elements “reduction” (which equals \(Q\)) and “offset” (which equals \(r\))

The function set.parms.free returns a function that generates arguments \(C\) and \(d\) with which the restrictor is called inside of the function latpos.