Spectral analysis for discrete longitudinal data

Laurel A Beckett; Persi Diaconis

doi:10.1006/aima.1994.1002

Spectral analysis for discrete longitudinal data

Laurel A Beckett, Persi Diaconis

Research output: Contribution to journal › Article

16 Scopus citations

Abstract

We develop a Fourier type of analysis for data consisting of many short strings X₁, X₂, …, X_n, with X_i = (X_i1, …, X_ip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected.

Original language	English (US)
Pages (from-to)	107-128
Number of pages	22
Journal	Advances in Mathematics
Volume	103
Issue number	1
DOIs	https://doi.org/10.1006/aima.1994.1002
State	Published - Jan 1 1994
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1006/aima.1994.1002

Fingerprint Dive into the research topics of 'Spectral analysis for discrete longitudinal data'. Together they form a unique fingerprint.

Cite this

Beckett, L. A., & Diaconis, P. (1994). Spectral analysis for discrete longitudinal data. Advances in Mathematics, 103(1), 107-128. https://doi.org/10.1006/aima.1994.1002

@article{645882ca93d541dfb1a7b72bb088c437,

title = "Spectral analysis for discrete longitudinal data",

abstract = "We develop a Fourier type of analysis for data consisting of many short strings X1, X2, …, Xn, with Xi = (Xi1, …, Xip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected.",

author = "Beckett, {Laurel A} and Persi Diaconis",

year = "1994",

month = jan,

day = "1",

doi = "10.1006/aima.1994.1002",

language = "English (US)",

volume = "103",

pages = "107--128",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Spectral analysis for discrete longitudinal data

AU - Beckett, Laurel A

AU - Diaconis, Persi

PY - 1994/1/1

Y1 - 1994/1/1

N2 - We develop a Fourier type of analysis for data consisting of many short strings X1, X2, …, Xn, with Xi = (Xi1, …, Xip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected.

AB - We develop a Fourier type of analysis for data consisting of many short strings X1, X2, …, Xn, with Xi = (Xi1, …, Xip). The paper offers an approach testing and residual analysis based on a group theoretic decomposition of the sample space. This is illustrated on a physical chance type data set where it is natural to allow each string to have its own parameter (i.i.d. coin-tossing with parameter varying from string to string). The usual model is rejected.

UR - http://www.scopus.com/inward/record.url?scp=0040314267&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040314267&partnerID=8YFLogxK

U2 - 10.1006/aima.1994.1002

DO - 10.1006/aima.1994.1002

M3 - Article

AN - SCOPUS:0040314267

VL - 103

SP - 107

EP - 128

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 1

ER -