BRISE_v.stat

For the vectorized version of BRISE, computes the within-pattern rank sums for both samples across all pattern pairs. Returns a concatenated vector of (Ux_ab, Uy_ab) for all blocks (a, b) with a&gt;b.

internal

Implements the Block-wise Rank in Similarity Graph Edge-count
test (BRISE), a rank-based two-sample test designed for block-wise
missing data. The method constructs (pattern) pair-wise similarity graphs
and derives quadratic test statistics with asymptotic chi-square
distribution or permutation-based p-values. It provides both
vectorized and congregated versions for flexible inference.
The methodology is described in Zhang, Liang, Maile, and
Zhou (2025) <doi:10.48550/arXiv.2508.17411>.

Kejian Zhang

BlockwiseRankTest

Block-Wise Rank in Similarity Graph Edge-Count Two-Sample Test
(BRISE)

Doudou Zhou

BRISE_v.stat function

<dl><dt>R</dt>
<dd>Numeric symmetric rank matrix (N × N).</dd>
<dt>sample1ID</dt>
<dd>Integer vector. Indices of observations in X.</dd>
<dt>sample2ID</dt>
<dd>Integer vector. Indices of observations in Y.</dd>
<dt>ptn_list</dt>
<dd>List of integer vectors that indexes observations sharing the same missing pattern.</dd></dl>

Arguments

Block-wise Statistic (Vectorized Form) — BRISE_v.stat

<dl>

<dt>R</dt>
<dd>Numeric symmetric rank matrix (N × N).</dd>


<dt>sample1ID</dt>
<dd>Integer vector. Indices of observations in X.</dd>


<dt>sample2ID</dt>
<dd>Integer vector. Indices of observations in Y.</dd>


<dt>ptn_list</dt>
<dd>List of integer vectors that indexes observations sharing the same missing pattern.</dd>

</dl>

BRISE_v.stat: Block-wise Statistic (Vectorized Form)

Description

Usage

Value

Arguments