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Estimating pseudocounts and fold changes for digital expression measurements.

Florian Erhard1

  • 1Institut für Virologie und Immunbiologie, Julius-Maximilians-Universität Würzburg, 97078 Würzburg, Germany.

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High-throughput experiments like RNA-seq face a zero-frequency problem. We introduce an empirical Bayes method and a new estimator, Ψ LFC, for accurate fold change estimation, especially with low counts.

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Statistical Genetics

Background:

  • Count-based high-throughput experiments, such as RNA-sequencing, often encounter a zero-frequency problem when calculating fold changes.
  • Current methods to address this issue involve adding pseudocounts, but their magnitude and introduction stage are arbitrary and can lead to biased results.
  • Fold changes, in a strict sense, are not directly computable quantities but require statistical inference due to experimental stochasticity.

Purpose of the Study:

  • To address the limitations of arbitrary pseudocount usage in fold change calculations for high-throughput sequencing data.
  • To develop a statistically rigorous method for selecting appropriate pseudocounts.
  • To introduce a novel, robust estimator for fold changes that performs well with low counts.

Main Methods:

  • Utilized a statistical framework for fold changes where pseudocounts represent parameters of a prior distribution for Bayesian inference.
  • Proposed and evaluated an empirical Bayes procedure for selecting statistically rigorous pseudocounts.
  • Introduced and tested the Ψ LFC estimator for fold changes, comparing its performance against existing methods using simulations and real data.

Main Results:

  • Demonstrated that arbitrary pseudocount choices can introduce bias in fold change estimations.
  • The proposed empirical Bayes procedure offers a statistically sound alternative for pseudocount selection.
  • The novel Ψ LFC estimator exhibited favorable properties, showing reduced deviations from the true values, particularly for low-count data, compared to current methods.

Conclusions:

  • The study provides a statistically rigorous approach to handling pseudocounts in fold change calculations for RNA-seq and similar experiments.
  • The Ψ LFC estimator offers improved accuracy, especially for biological entities with limited sequencing reads.
  • The findings have significant implications for the interpretation of differential expression analysis in sequencing studies.