Maximin and maximin-efficient event-related fmri designs under a nonlinear model

Ming-Hung Kao, Dibyen Majumdar, Abhyuday Mandal, John Stufken

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Previous studies on event-related functional magnetic resonance imaging experimental designs are primarily based on linear models, in which a known shape of the hemodynamic response function (HRF) is assumed. However, the HRF shape is usually uncertain at the design stage. To address this issue, we consider a nonlinear model to accommodate a wide spectrum of feasible HRF shapes, and propose efficient approaches for obtaining maximin and maximin-efficient designs. Our approaches involve a reduction in the parameter space and a search algorithm that helps to efficiently search over a restricted class of designs for good designs. The obtained designs are compared with traditional designs widely used in practice. We also demonstrate the usefulness of our approaches via a motivating example.

Original languageEnglish (US)
Pages (from-to)1940-1959
Number of pages20
JournalAnnals of Applied Statistics
Issue number4
StatePublished - 2013


  • A-optimality
  • Cyclic permutation
  • Design efficiency
  • Genetic algorithms
  • Hemodynamic response function
  • Information matrix

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty


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