title: Controlling false discovery rates in factorial experiments with between-subjects and within-subjects tests.
abstract: BACKGROUND
  The False Discovery Rate (FDR) controls the expected number of false positives among the positive test results. It is not straightforward how to conduct a FDR controlling procedure in experiments with a factorial structure, while at the same time there are between-subjects and within-subjects factors. This is because there are P-values for different tests in one and the same response along with P-values for the same test and different responses.
  
  
  RESULTS
  We propose a procedure resulting in a single P-value per response, calculated over the tests of all the factorial effects. FDR control can then be based on the set of single P-values.
  
  
  CONCLUSIONS
  The proposed procedure is very easy to apply and is recommended for all designs with factors applied at different levels of the randomization, such as cross-over designs with added between-subjects factors.
  
  
  BACKGROUND
  NCT00959790.
authors.affiliation: TNO Earth, Environmental and Life Sciences, PO Box 360, 3700 AJ Zeist, The Netherlands. eric.schoen@tno.nl
authors.forename: Eric D
authors.initials: ED
authors.lastname: Schoen
authors.forename: Carina M
authors.initials: CM
authors.lastname: Rubingh
authors.forename: Suzan
authors.initials: S
authors.lastname: Wopereis
authors.forename: Marjan
authors.initials: M
authors.lastname: van Erk
mesh_terms: D000704:Analysis of Variance; D005189:False Positive Reactions