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Multivariate permutation tests for two sample testing in presence of nondetects with application to microarray data.

Rosa Arboretti1, Arne C Bathke2,3, Eleonora Carrozzo4

  • 1Department of Civil Environmental and Architectural Engineering, University of Padova, Padua, Italy.

Statistical Methods in Medical Research
|February 26, 2019
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Summary
This summary is machine-generated.

This study compares multivariate permutation tests for medical data with nondetects (values below detection limits) and zero-inflated data. Findings inform accurate statistical analysis when dealing with censored observations in research.

Keywords:
Two-sample testcensored datamultivariate testsnonparametric combinationpermutation tests

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Area of Science:

  • Biostatistics
  • Medical Research Methodology
  • Data Analysis

Background:

  • Medical research frequently encounters censored data, including nondetects (values below detection limits) and zero-inflated datasets.
  • Accurate statistical methods are crucial for analyzing such data, particularly in two-sample testing scenarios.

Purpose of the Study:

  • To compare the performance of various multivariate permutation procedures for two-sample testing with nondetect data.
  • To investigate the impact of assigning different values to nondetected observations on statistical test outcomes.

Main Methods:

  • Utilized multivariate permutation tests for two-sample comparisons.
  • Examined the influence of imputation strategies for nondetected values under null and alternative hypotheses.
  • Applied methods to allergy research data.

Main Results:

  • Permutation procedures show varying sensitivity to the imputation values assigned to nondetects.
  • The choice of value for nondetects can significantly affect statistical inference in two-sample tests.
  • Demonstrated the practical implications using allergy data.

Conclusions:

  • Careful consideration of imputation methods for nondetects is essential for reliable statistical conclusions in medical research.
  • Multivariate permutation tests offer a flexible framework for analyzing censored and zero-inflated data.
  • The study highlights the importance of sensitivity analyses regarding censored data handling.