practical_pars_norm: Find practical values of the parameters for a normal test

In diff-priv-ht/nonpmRegPkg: Implementation of Functions for "Test of Tests"

Find practical values of the parameters for a normal test

Description

Performs a binary search to find the parameter values that reach power rho at the smallest effect size. If no effect sizes are sufficient to reach power rho, returns the parameters for the largest effect size in input grid.

Usage

practical_pars_norm(
  effect_size_grid,
  epsilon,
  n,
  rho = 0.8,
  alpha = 0.05,
  d = 1,
  n_zeros = 0,
  M_start = min(12, floor(n/3)),
  alpha0_start = 0.2,
  M_max = n
)

Arguments

effect_size_grid	Grid of effect sizes to search over
epsilon	The privacy parameter.
n	The number of observations (number of rows in the database).
rho	The desired power threshold
alpha	The significance level. Defaults to 0.05.
d	The number of dimensions (number of columns in the database). Defaults to 1.
n_zeros	The number of entries of the alternative distribution with mean zero. Defaults to 0.
M_start	Starting value of M
alpha0_start	Starting value of alpha0
M_max	The maximum M to search over.

Value

The output will be a list with the achievable power, the corresponding two parameter values, and the minimum effect size

diff-priv-ht/nonpmRegPkg documentation built on Feb. 6, 2023, 5:22 p.m.