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Roadmap #10

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@nignatiadis

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@nignatiadis

Here is a quite comprehensive list of features which covers a big chunk of what is out there in regards to multiple testing. I am not sure which of these are within the scope of the package (or if everything is), but maybe it is a starting point. This also brings up the point regarding what and how many dependencies we will eventually bring in (e.g. I think Distributions.jl and GLM.jl or so will be unavoidable eventually). I will add references later.

  • More p.adjust procedures (to at least get feature parity with MUTOSS)
  • Additional pi0 estimators (Issue pi0 estimators roadmap/ideas #3)
  • More general interface for multiple testing procedures which don't have equivalent formulation in terms of adjusted pvalues
  • Control methods for other error rates, such as:
    • False Discovery Exceedance (False discovery proportion)
    • k-FWER
    • k-FDR
    • PenalizedFDR
  • Standard collection of simulations for benchmarking
    • Worst case situations for different procedures
    • Beta uniform
    • Discrete cases
    • Different correlation/dependence structures
  • Tests of global null hypothesis
    • Simes
    • Fisher combination
  • Higher criticism
  • Weighted hypothesis testing
  • Grouped / Stratified hypotheses
    • Group BH
    • Stratified BH
    • p-filter
  • local fdr/ tail FDR estimation and interface
  • empirical null modelling
  • Diagnostic or explanatory plots
  • Approaches which start from table like for microarrays
    • Procedures which model and account for correlation
    • permutation/resampling/bootstrap based multiple testing approaches
  • Approaches for regression (will need dependencies like Lasso.jl/LARS.jl or GLMNet.jl->
    Probably should be a different package)
    • Knockoff filters
  • Old school methods
    • Tukey's honest significant difference

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