A Statistical Methodology for Evaluating Asymmetry after Normalization with Application to Genomic Data

Víctor Leiva (), Jimmy Corzo, Myrian E. Vergara, Raydonal Ospina and Cecilia Castro
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Víctor Leiva: Escuela de Ingeniería Industrial, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
Jimmy Corzo: Departamento de Estadística, Facultad de Ciencias, Universidad Nacional de Colombia, Bogotá 111321, Colombia
Myrian E. Vergara: Escuela de Ciencias Básicas y Aplicadas, Universidad de La Salle, Bogotá 110231, Colombia
Raydonal Ospina: Departamento de Estatística, LInCa, Universidade Federal da Bahia, Salvador 40170-110, Brazil
Cecilia Castro: Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal

Stats, 2024, vol. 7, issue 3, 1-17

Abstract: This study evaluates the symmetry of data distributions after normalization, focusing on various statistical tests, including a few explored test named Rp. We apply normalization techniques, such as variance stabilizing transformations, to ribonucleic acid sequencing data with varying sample sizes to assess their effectiveness in achieving symmetric data distributions. Our findings reveal that while normalization generally induces symmetry, some samples retain asymmetric distributions, challenging the conventional assumption of post-normalization symmetry. The Rp test, in particular, shows superior performance when there are variations in sample size and data distribution, making it a preferred tool for assessing symmetry when applied to genomic data. This finding underscores the importance of validating symmetry assumptions during data normalization, especially in genomic data, as overlooked asymmetries can lead to potential inaccuracies in downstream analyses. We analyze postmortem lateral temporal lobe samples to explore normal aging and Alzheimer’s disease, highlighting the critical role of symmetry testing in the accurate interpretation of genomic data.

Keywords: differential gene expression; genomic data normalization; RNA sequencing; Rp test; statistical tests; symmetry assessment; variance stabilization (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2024
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