A spectral analysis approach for experimental design

Rosemary Anne Bailey, Persi Diaconis, Daniel N. Rockmore, Chris Rowley

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

1 Citation (Scopus)
2 Downloads (Pure)


In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techniques for studying data from designed experiments. Several examples are worked out in detail, including a thorough analysis of Calvin's famous ice cream data.
Original languageEnglish
Title of host publicationExcursions in Harmonic Analysis
Subtitle of host publicationThe February Fourier Talks at the Norbert Wiener Center
EditorsR. Balan, M. Begué, J. J. Benedetto, W. Czaja, K. A. Okoudjou
Place of PublicationCham
Number of pages29
ISBN (Electronic)9783319201887
ISBN (Print)9783319201870
Publication statusPublished - Oct 2015

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009


  • Analysis of variance
  • Block design
  • Designed experiment,
  • Diallel experiment
  • Irreducible subspace
  • Orthogonal decomposition
  • Permutation representation


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