argmin.HT.nonsplit: Perform argmin hypothesis test.

In argminCS: Argmin Inference over a Discrete Candidate Set

Perform argmin hypothesis test.

Description

Test if a dimension may be argmin without any splitting.

Usage

argmin.HT.nonsplit(
  difference.matrix,
  lambda,
  sample.mean = NULL,
  alpha = 0.05,
  scale.input = TRUE
)

Arguments

difference.matrix	A n by (p-1) difference data matrix (reference dimension - the rest); each of its row is a (p-1)-dimensional vector of differences.
lambda	The real-valued tuning parameter for exponential weightings (the calculation of softmin).
sample.mean	The sample mean of differences; defaults to NULL. It can be calculated via colMeans(difference.matrix).
alpha	The significance level of the hypothesis test; defaults to 0.05.
scale.input	A boolean variable specifying whether the input difference matrix should be standardized defaults to TRUE

Details

This method is not recommended, given its poor performance when p is small.

Value

A list containing:

test.stat.scale	The scaled test statistic
. critical.value	The critical value for the hypothesis test. Being greater than it leads to a rejection.
std	The standard deviation estimate.
ans	'Reject' or 'Accept'

argminCS documentation built on Aug. 8, 2025, 7:51 p.m.