dprime_func_self: Function to calculate du/dx in the gradient of d(x, Xi), will...

In ForLion: 'ForLion' Algorithm to Find D-Optimal Designs for Experiments

Function to calculate du/dx in the gradient of d(x, Xi), will be used in ForLion_MLM_func() function, details see Appendix C in Huang, Li, Mandal, Yang (2024)

Description

Function to calculate du/dx in the gradient of d(x, Xi), will be used in ForLion_MLM_func() function, details see Appendix C in Huang, Li, Mandal, Yang (2024)

Usage

dprime_func_self(
  xi,
  bvec,
  h.func,
  h.prime,
  inv.F.mat,
  Ux,
  link = "continuation",
  k.continuous
)

Arguments

xi	a vector of design point
bvec	parameter of the multinomial logistic regression model
h.func	function, is used to transfer xi to model matrix (e.g. add interaction term, add intercept)
h.prime	function, is used to find dX/dx
inv.F.mat	inverse of F_Xi matrix, inverse of fisher information of current design w/o new point
Ux	U_x matrix in the algorithm, get from Fi_MLM_func() function
link	multinomial link function, default is"continuation", other choices "baseline", "cumulative", and "adjacent"
k.continuous	number of continuous factors

Value

dU/dx in the gradient of sensitivity function d(x, Xi)

ForLion documentation built on April 11, 2025, 5:38 p.m.