CalDelta: Calculate the delta given the principal stratum

In aihuman: Experimental Evaluation of Algorithm-Assisted Human Decision-Making

Calculate the delta given the principal stratum

Description

Calculate the maximal deviation of decisions probability among the distributions for different groups (delta) given the principal stratum (R).

Usage

CalDelta(r, k, pd0, pd1, attr)

Arguments

r	The given principal stratum.
k	The maximum decision (e.g., largest bail amount).
pd0	P.D0.mcmc array generated from CalAPCE or CalAPCEparallel.
pd1	P.D1.mcmc array generated from CalAPCE or CalAPCEparallel.
attr	The index of subgroups (within the output of CalAPCE/CalAPCEparallel) that corresponds to the protected attributes.

Value

A data.frame of the delta.

Examples

data(synth)
subgroup_synth <- list(
  1:nrow(synth), which(synth$Sex == 0), which(synth$Sex == 1),
  which(synth$Sex == 1 & synth$White == 0), which(synth$Sex == 1 & synth$White == 1)
)
sample_mcmc <- AiEvalmcmc(data = synth, n.mcmc = 10)
sample_apce <- CalAPCE(
  data = synth, mcmc.re = sample_mcmc, subgroup = subgroup_synth,
  burnin = 0
)
CalDelta(0, 3, sample_apce[["P.D0.mcmc"]], sample_apce[["P.D1.mcmc"]], c(2, 3))

aihuman documentation built on April 12, 2025, 1:47 a.m.