practical_power_ANOVA: Find the power of our test for an ANOVA in a practical...

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

Find the power of our test for an ANOVA in a practical setting

Description

Function that finds the parameters, M and theta_0, of our test that yield high power for a given combination of n and epsilon in a practical setting where the effect size is not known and then computes the power at a given effect size.

Usage

practical_power_ANOVA(
  effect_size,
  epsilon,
  n,
  effect_size_grid = seq(0, 3, 0.2),
  rho = 0.8,
  alpha = 0.05,
  groups = 3,
  M_start = min(12, floor(n/2/groups)),
  alpha0_start = 0.2,
  M_max = floor(n/2/groups)
)

Arguments

effect_size	The ratio of the between group variance to the within group variance.
epsilon	The privacy parameter.
n	The number of observations (number of rows in the database).
effect_size_grid	Grid of effect sizes to search over
rho	The desired power threshold
alpha	The significance level. Defaults to 0.05.
groups	The number of groups in each subsample for ANOVA.
M_start	Starting value of M
alpha0_start	Starting value of alpha0
M_max	The maximum M to search over.

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