A spectral analysis approach for experimental design

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

doi:10.1007/978-3-319-20188-7_14

A spectral analysis approach for experimental design

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

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

1 Citation (Scopus)

2 Downloads (Pure)

Abstract

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 language	English
Title of host publication	Excursions in Harmonic Analysis
Subtitle of host publication	The February Fourier Talks at the Norbert Wiener Center
Editors	R. Balan, M. Begué, J. J. Benedetto, W. Czaja, K. A. Okoudjou
Place of Publication	Cham
Publisher	Birkhäuser
Pages	367-395
Number of pages	29
ISBN (Electronic)	9783319201887
ISBN (Print)	9783319201870
DOIs	https://doi.org/10.1007/978-3-319-20188-7_14
Publication status	Published - Oct 2015

Publication series

Name	Applied and Numerical Harmonic Analysis
Volume	4
ISSN (Print)	2296-5009

Keywords

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

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10.1007/978-3-319-20188-7_14

Cite this

Bailey, R. A., Diaconis, P., Rockmore, D. N., & Rowley, C. (2015). A spectral analysis approach for experimental design. In R. Balan, M. Begué, J. J. Benedetto, W. Czaja, & K. A. Okoudjou (Eds.), Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center (pp. 367-395). (Applied and Numerical Harmonic Analysis; Vol. 4). Birkhäuser. https://doi.org/10.1007/978-3-319-20188-7_14

Bailey, Rosemary Anne ; Diaconis, Persi ; Rockmore, Daniel N. et al. / A spectral analysis approach for experimental design. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. editor / R. Balan ; M. Begué ; J. J. Benedetto ; W. Czaja ; K. A. Okoudjou. Cham : Birkhäuser, 2015. pp. 367-395 (Applied and Numerical Harmonic Analysis).

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title = "A spectral analysis approach for experimental design",

abstract = "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.",

keywords = "Analysis of variance, Block design, Designed experiment,, Diallel experiment, Irreducible subspace, Orthogonal decomposition, Permutation representation",

author = "Bailey, {Rosemary Anne} and Persi Diaconis and Rockmore, {Daniel N.} and Chris Rowley",

note = "Date of Acceptance: April 2014-June 2015",

year = "2015",

month = oct,

doi = "10.1007/978-3-319-20188-7_14",

language = "English",

isbn = "9783319201870",

series = "Applied and Numerical Harmonic Analysis",

publisher = "Birkh{\"a}user",

pages = "367--395",

editor = "R. Balan and M. Begu{\'e} and Benedetto, {J. J.} and Czaja, {W. } and Okoudjou, {K. A.}",

booktitle = "Excursions in Harmonic Analysis",

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Bailey, RA, Diaconis, P, Rockmore, DN & Rowley, C 2015, A spectral analysis approach for experimental design. in R Balan, M Begué, JJ Benedetto, W Czaja & KA Okoudjou (eds), Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. Applied and Numerical Harmonic Analysis, vol. 4, Birkhäuser, Cham, pp. 367-395. https://doi.org/10.1007/978-3-319-20188-7_14

A spectral analysis approach for experimental design. / Bailey, Rosemary Anne; Diaconis, Persi; Rockmore, Daniel N. et al.
Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. ed. / R. Balan; M. Begué; J. J. Benedetto; W. Czaja; K. A. Okoudjou. Cham: Birkhäuser, 2015. p. 367-395 (Applied and Numerical Harmonic Analysis; Vol. 4).

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

TY - CHAP

T1 - A spectral analysis approach for experimental design

AU - Bailey, Rosemary Anne

AU - Diaconis, Persi

AU - Rockmore, Daniel N.

AU - Rowley, Chris

N1 - Date of Acceptance: April 2014-June 2015

PY - 2015/10

Y1 - 2015/10

N2 - 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.

AB - 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.

KW - Analysis of variance

KW - Block design

KW - Designed experiment,

KW - Diallel experiment

KW - Irreducible subspace

KW - Orthogonal decomposition

KW - Permutation representation

UR - http://www.springer.com/gb/book/9783319201870

U2 - 10.1007/978-3-319-20188-7_14

DO - 10.1007/978-3-319-20188-7_14

M3 - Chapter (peer-reviewed)

SN - 9783319201870

T3 - Applied and Numerical Harmonic Analysis

SP - 367

EP - 395

BT - Excursions in Harmonic Analysis

A2 - Balan, R.

A2 - Begué, M.

A2 - Benedetto, J. J.

A2 - Czaja, W.

A2 - Okoudjou, K. A.

PB - Birkhäuser

CY - Cham

ER -

Bailey RA, Diaconis P, Rockmore DN, Rowley C. A spectral analysis approach for experimental design. In Balan R, Begué M, Benedetto JJ, Czaja W, Okoudjou KA, editors, Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center. Cham: Birkhäuser. 2015. p. 367-395. (Applied and Numerical Harmonic Analysis). doi: 10.1007/978-3-319-20188-7_14

A spectral analysis approach for experimental design

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