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Log-Rank-Type Tests for Equality of Distributions in High-Dimensional Spaces

Motivated by applications in high-dimensional settings, we propose a novel approach for testing the equality of two or more populations by constructing a class of intensity centered score processes. The resulting tests are analogous in spirit to the well-known class of weighted log-rank statistics that are widely used in survival analysis. The test statistics are nonparametric, computationally simple, and applicable to high-dimensional data. We establish the usual large sample properties by showing that the underlying log-rank score process converges weakly to a Gaussian random field with zero mean under the null hypothesis and with a drift under the contiguous alternatives. For the Kolmogorov–Smirnov-type and the Cramer-von Mises-type statistics, we also establish the consistency result for any fixed alternative. Cutoff points for the test statistics are obtained by permutations or a simulation-based resampling method. The new approach is applied to a study of brain activation measured by functional magnetic resonance imaging when performing two linguistic tasks and also to a prostate cancer DNA microarray dataset. Supplementary materials for this article are available online.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS; Vol.31 No.4 December 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1384-1396

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

CONSISTENCY
HIGH-DIMENSIONAL DATA
GAUSSIAN RANDOM FIELD
DISTRIBUTION-FREE METHOD
NONPARAMETRIC TESTS
RANDOM WEIGHTING
RANK-BASED TESTS

Info Detail Spesifik

https://doi.org/10.1080/10618600.2022.2051530

Pernyataan Tanggungjawab

Linxi Liu, Yang Meng, Xiaoru Wu, Zhiliang Ying, Tian Zheng

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