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Uncertainty: Overview00:59

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Three Differential Expression Analysis Methods for RNA Sequencing: limma, EdgeR, DESeq2
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Differential transcript usage analysis incorporating quantification uncertainty via compositional measurement error

Amber M Young1, Scott Van Buren1, Naim U Rashid2

  • 1Department of Biostatistics, University of North Carolina at Chapel Hill, 135 Dauer Drive, Chapel Hill, NC, 27599, USA.

Biostatistics (Oxford, England)
|April 11, 2023
PubMed
Summary
This summary is machine-generated.

We introduce CompDTU and CompDTUme, novel computational methods for detecting differential transcript usage (DTU) in RNA-seq data. These approaches offer improved speed, scalability, and accuracy, especially for large datasets and complex analyses.

Keywords:
Differential transcript usageMeasurement errorQuantification uncertaintyRNA-Seq

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Area of Science:

  • Bioinformatics
  • Computational Biology
  • Genomics

Background:

  • Differential transcript usage (DTU) analysis identifies changes in relative transcript expression between conditions.
  • Existing DTU methods face challenges with speed and scalability for large sample sizes.
  • Quantification uncertainty in RNA-seq expression estimates is often overlooked by current DTU approaches.

Purpose of the Study:

  • To develop a computationally efficient and scalable method for DTU detection.
  • To incorporate quantification uncertainty into DTU analysis.
  • To improve sensitivity and reduce false positives in DTU detection.

Main Methods:

  • Proposed CompDTU method utilizes compositional regression to model transcript proportions.
  • Leverages fast matrix-based computations for enhanced speed and scalability.
  • Extended CompDTUme method incorporates quantification uncertainty from RNA-seq data.

Main Results:

  • CompDTU demonstrates excellent sensitivity and reduced false positives compared to existing methods.
  • CompDTUme further improves performance, particularly for genes with high quantification uncertainty and sufficient sample size.
  • Applied to breast cancer data, new methods showed reduced computation time and identified novel DTU genes across subtypes.

Conclusions:

  • CompDTU and CompDTUme provide efficient, scalable, and accurate solutions for DTU analysis.
  • The methods effectively handle large datasets and address quantification uncertainty.
  • These advancements facilitate the discovery of novel DTU events in complex biological systems like cancer.