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The Sign Test, Paired Data, and Asymmetric Dependence: A Cautionary Tale

In the paired data setting, the sign test is often described in statistical textbooks as a test for comparing differences between the medians of two marginal distributions. There is an implicit assumption that the median of the differences is equivalent to the difference of the medians when employing the sign test in this fashion. We demonstrate however that given asymmetry in the bivariate distribution of the paired data, there are often scenarios where the median of the differences is not equal to the difference of the medians. Further, we show that these scenarios will lead to a false interpretation of the sign test for its intended use in the paired data setting. We illustrate the false-interpretation concept via theory, a simulation study, and through a real-world example based on breast cancer RNA sequencing data obtained from the Cancer Genome Atlas (TCGA).

Ketersediaan

Informasi Detail

Judul Seri

THE AMERICAN STATISTICIAN; Vol.76 No.1 February 2023

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 35-40

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

NONPARAMETRIC STATISTICS
SYMMETRY
EMPIRICAL LIKELIHOOD
EXCHANGEABILITY
RE-RANDOMIZATION
STATISTICAL BIAS

Info Detail Spesifik

https://doi.org/10.1080/00031305.2022.2110938

Pernyataan Tanggungjawab

Alan D. Hutson, Han Yu

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