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Related Concept Videos

Binomial Probability Distribution01:15

Binomial Probability Distribution

A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
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Bonferroni Test01:10

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The Bonferroni test is a statistical test named after Carlo Emilio Bonferroni, an Italian mathematician best known for Bonferroni inequalities. This statistical test is a type of multiple comparison test to determine which means are different than the rest. Bonferroni test can minimize the Type 1 error by reducing the significance level alpha, which otherwise increases with sample pairs.
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Accuracy and Errors in Hypothesis Testing

Hypothesis testing is a fundamental statistical tool that begins with the assumption that the null hypothesis H0 is true. During this process, two types of errors can occur: Type I and Type II. A Type I error refers to the incorrect rejection of a true null hypothesis, while a Type II error involves the failure to reject a false null hypothesis.
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Testing a Claim about Population Proportion01:24

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Wald-Wolfowitz Runs Test II01:17

Wald-Wolfowitz Runs Test II

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Related Experiment Video

Updated: Jun 14, 2026

Profiling of Estrogen-regulated MicroRNAs in Breast Cancer Cells
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Published on: February 21, 2014

The Beta-Binomial Distribution for Estimating the Number of False Rejections in Microarray Gene Expression Studies.

Daniel L Hunt1, Cheng Cheng, Stanley Pounds

  • 1Department of Biostatistics, St. Jude Children's Research Hospital, 332 N. Lauderdale St., Memphis, TN 38105-2794 USA.

Computational Statistics & Data Analysis
|March 31, 2010
PubMed
Summary

This study introduces a new method for analyzing gene expression data, modeling false discoveries with a beta-binomial distribution. This approach improves accuracy by accounting for correlations among non-differentially expressed genes.

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Area of Science:

  • Bioinformatics
  • Statistical Genetics
  • Genomics

Background:

  • Differential expression analysis commonly assumes independence of null hypotheses.
  • This assumption leads to the empirical false discovery rate (eFDR) estimator.
  • Ignoring correlations among non-differentially expressed genes can impact analysis accuracy.

Purpose of the Study:

  • To develop a novel statistical method for differential expression analysis.
  • To account for correlations among non-differentially expressed genes.
  • To introduce the beta-binomial false discovery rate (bbFDR) estimator.

Main Methods:

  • Modeling the number of false rejections (V) using the beta-binomial distribution.
  • Deriving the beta-binomial false discovery rate (bbFDR) estimator.
  • Utilizing permutations to generate observed values of V under null hypotheses.
  • Fitting a beta-binomial distribution to the observed values of V.

Main Results:

  • The bbFDR estimator accounts for correlations among non-differentially expressed genes.
  • Simulation studies show bbFDR outperforms eFDR in specific scenarios with correlated genes.
  • The method was applied to compare gene expression in soft tissue sarcoma and normal tissues.

Conclusions:

  • The beta-binomial approach offers a more robust estimation of false discovery rates when gene expression data exhibit correlations.
  • This method enhances the reliability of differential expression analysis in genomics.
  • The bbFDR provides a valuable alternative for analyzing complex gene expression datasets.