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Multiple comparison test, abbreviated as MCT, is a post hoc analysis generally performed after comparing multiple samples with one or more tests. An MCT will help identify a significantly different sample among multiple samples or a factor among multiple factors.
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Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
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McNemar's Test is a nonparametric statistical test used to determine if there is a significant difference in proportions between two related groups when the outcome is binary (e.g., yes/no, success/failure). It is beneficial when we have paired data, such as pre-test/post-test designs, where the same subjects are measured under two different conditions. The test is named after the statistician Quinn McNemar, who introduced it in 1947. It is commonly used in situations where subjects are...
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The sign test for matched pairs offers a robust method for comparing two paired samples, often for the effects of an intervention in one of them. This method is very useful in situations where the underlying distribution of the data is unknown. The test compares two related samples—often pre- and post-treatment measurements on the same subjects—to determine if there are significant differences in their median values.
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Methods for large-scale single mediator hypothesis testing: Possible choices and comparisons.

Jiacong Du1, Xiang Zhou1, Dylan Clark-Boucher1

  • 1Department of Biostatistics, University of Michigan, Ann Arbor, Michigan, USA.

Genetic Epidemiology
|December 5, 2022
PubMed
Summary
This summary is machine-generated.

Testing mediation hypotheses with many mediators is complex. Methods using a mixture reference distribution effectively control false positive rates and maximize true positive rates, offering superior performance for large-scale mediation analysis.

Keywords:
agnostic mediation analysiscomposite null hypothesisindirect effectmediation effectmultiple hypothesis testing

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Area of Science:

  • Biostatistics
  • Statistical Genetics
  • Epidemiology

Background:

  • Mediation hypothesis testing with numerous mediators presents challenges due to the composite nature of the null hypothesis (αβ = 0).
  • Existing methods often simplify or ignore the distinct components of the null hypothesis: α = 0, β ≠ 0; α ≠ 0, β = 0; or α = β = 0.

Approach:

  • Reviewed three classes of large-scale, one-at-a-time mediation testing methods for continuous outcomes and mediators.
  • Developed the Sobel-comp method, a novel approach within the mixture reference distribution class.
  • Conducted extensive simulations to compare six methods based on false positive rates (FPRs) and true positive rates (TPRs).

Key Points:

  • Methods employing a mixture reference distribution demonstrated superior control of FPRs at nominal levels.
  • These mixture distribution methods also exhibited the highest TPRs under the alternative hypothesis.
  • The study applied these methods to analyze DNA methylation sites in the socioeconomic status to glycated hemoglobin pathway using MESA data.

Conclusions:

  • The second class of methods, utilizing a mixture reference distribution, is recommended for large-scale mediation hypothesis testing.
  • Guidelines for selecting optimal methods are provided.
  • An R package, medScan, is available for implementing the evaluated methods.