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Related Concept Videos

Bonferroni Test01:10

Bonferroni Test

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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The null hypothesis of the...
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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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Genome-wide Association Studies-GWAS01:11

Genome-wide Association Studies-GWAS

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Statistical Hypothesis Testing

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Candidate Gene Testing in Clinical Cohort Studies with Multiplexed Genotyping and Mass Spectrometry
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Candidate Gene Testing in Clinical Cohort Studies with Multiplexed Genotyping and Mass Spectrometry

Published on: June 21, 2018

Two-stage group sequential robust tests in family-based association studies: controlling type I error.

Lihan K Yan1, Gang Zheng, Zhaohai Li

  • 1Biostatistics Program, Department of Statistics, George Washington University, Washington DC 20052, USA.

Annals of Human Genetics
|March 8, 2008
PubMed
Summary

This study introduces a robust statistical method for family-based genetic association studies when disease models are unknown. It proposes type I error control for group sequential analysis using a maximum test, enhancing power and reliability.

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Area of Science:

  • Genetics
  • Biostatistics
  • Epidemiology

Background:

  • Family-based association studies require specific genetic models (e.g., recessive, additive) for optimal statistical testing.
  • Unknown genetic models for complex diseases can lead to reduced statistical power if a single, mis-specified model is used.
  • Robust statistical tests, like the maximum of several model-specific tests, are preferred when genetic models are uncertain.

Purpose of the Study:

  • To propose and compare methods for controlling type I error rates in family-based candidate-gene association studies using a group sequential approach with a maximum test.
  • To provide critical values for a two-stage group sequential robust procedure with a single interim analysis.

Main Methods:

  • The study focuses on a robust test statistic, which is the maximum of several tests, each optimal for a specific genetic model.
  • It introduces group sequential analysis, allowing interim analyses to increase efficiency.
  • Methods for controlling the overall type I error rate are developed and compared for this specific application.

Main Results:

  • The proposed group sequential approach with a maximum test is designed to be robust against genetic model mis-specification.
  • For a two-stage design with one interim analysis, specific critical values are derived using alpha spending functions.
  • These critical values control the overall type I error rate for the robust group sequential procedure.

Conclusions:

  • The developed group sequential robust procedure is suitable for family-based candidate-gene association studies with unknown genetic models.
  • This approach offers a statistically sound method for interim analyses while maintaining overall error rate control.
  • The provision of critical values facilitates the practical application of this robust methodology in genetic research.