Rank-Based Inverse Normal Transformations are Increasingly Used, But are They Merited?

2009/06/13 by T. Mark Beasley, Stephen Erickson, Stephen W. Erickson +1 · 345 citations
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Decision Sciences · Mathematics · #Biology #Computer science #Context (archaeology) #Data mining #Econometrics #Genetic Mapping and Diversity in Plants and Animals #Genetics and Plant Breeding #Mathematics #Optimal Experimental Design Methods #Parametric statistics #Permutation (music) #Rank (graph theory) #Statistical hypothesis testing #Statistical power #Statistics #Type I and type II errors

paper · pdf · doi:10.1007/s10519-009-9281-0

published in Behavior Genetics 39(5), 580-595 (Springer Science+Business Media)

openalex publication_date 2009/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Citations

• On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
• Rank Transformations as a Bridge between Parametric and Nonparametric Statistics
• Robustness of the Analysis of Variance, the Welch Procedure and a Box Procedure to Heterogeneous Variances
• An Empirical Comparison of the Anova F-Test, Normal Scores Test and Kruskal-Wallis Test Under Violation of Assumptions
• THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED
• The Future of Data Analysis

Cited by

• Functional insights into dispensable genes using genome-wide loss-of-function burden tests in Arabidopsis
• SMART 2.0 Statistical Metabolomics Analysis: An R Tool 2.0
• Representation in genetic studies affects inference about genetic architecture
• Multivariate Functional Regression Models for Epistasis Analysis
• A powerful transformation of quantitative responses for biobank-scale association studies
• Participation bias in the estimation of heritability and genetic correlation
• Estimation of Interpretable eQTL Effect Sizes Using a Log of Linear\n Model
• A versatile omnibus test for detecting mean and variance heterogeneity. [europepmc]
• Genome-wide association study dissects genetic architecture underlying longitudinal egg weights in chickens. [europepmc]
• A statistical framework for neuroimaging data analysis based on mutual information estimated via a gaussian copula. [europepmc]
• Reducing Bias and Error in the Correlation Coefficient Due to Nonnormality. [europepmc]
• Comparison of heritability estimates on resting state fMRI connectivity phenotypes using the ENIGMA analysis pipeline. [europepmc]
• Associations of Mitochondrial and Nuclear Mitochondrial Variants and Genes with Seven Metabolic Traits. [europepmc]
• Repurposing large health insurance claims data to estimate genetic and environmental contributions in 560 phenotypes. [europepmc]
• A fully adjusted two-stage procedure for rank-normalization in genetic association studies. [europepmc]
• Retinal transcriptome and eQTL analyses identify genes associated with age-related macular degeneration. [europepmc]
• Genome-wide Significance Thresholds for Admixture Mapping Studies. [europepmc]
• Genetic effects on the commensal microbiota in inflammatory bowel disease patients. [europepmc]
• Extensive phenotype data and machine learning in prediction of mortality in acute coronary syndrome - the MADDEC study. [europepmc]
• Patterned functional network disruption in amyotrophic lateral sclerosis. [europepmc]
• Genotype-by-environment interactions inferred from genetic effects on phenotypic variability in the UK Biobank. [europepmc]
• Evaluation of commonly used analysis strategies for epigenome- and transcriptome-wide association studies through replication of large-scale population studies. [europepmc]
• Operating characteristics of the rank-based inverse normal transformation for quantitative trait analysis in genome-wide association studies. [europepmc]
• An unsupervised learning approach to identify novel signatures of health and disease from multimodal data. [europepmc]
• Understanding the genetic determinants of the brain with MOSTest. [europepmc]
• Boosting Schizophrenia Genetics by Utilizing Genetic Overlap With Brain Morphology. [europepmc]
• Ordered quantile normalization: a semiparametric transformation built for the cross-validation era. [europepmc]
• GWAS, MWAS and mGWAS provide insights into precision agriculture based on genotype-dependent microbial effects in foxtail millet. [europepmc]
• Regulation of protein abundance in genetically diverse mouse populations. [europepmc]
• Cross-platform normalization enables machine learning model training on microarray and RNA-seq data simultaneously. [europepmc]
• On the stability of canonical correlation analysis and partial least squares with application to brain-behavior associations. [europepmc]
• Genetic architecture of the structural connectome. [europepmc]