Tables and formulas for extended use of the ederer-myers-mantel disease-clustering procedure

Nathan Mantel; Richard J. Kryscio; Max H. Myers

doi:10.1093/oxfordjournals.aje.a112333

Tables and formulas for extended use of the ederer-myers-mantel disease-clustering procedure

Nathan Mantel, Richard J. Kryscio, Max H. Myers

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The principles of the Ederer-Myers-Mantel procedure for seeking evidence of disease clustering are reviewed. The procedure is based on cumulative empirical clusters, i.e., the largest frequency in a single time period or in two successive time periods, and comparing that cumulation with the expected cumulation of largest frequencies under random occurrence. Original tabulations covered totals of up to 15 cases distributed among three, four or five time periods. Present tabulations of expectations and variances cover up to 500 cases distributed among two or three time periods and 200 cases distributed among four or five time periods. Asymptotic formulas are provided for the expectation and variance of the largest frequency in a single period when arbitrarily many cases are distributed at random among two, three, four or five time periods.

Original language	English
Pages (from-to)	576-584
Number of pages	9
Journal	American Journal of Epidemiology
Volume	104
Issue number	5
DOIs	https://doi.org/10.1093/oxfordjournals.aje.a112333
State	Published - Nov 1976

Bibliographical note

Funding Information:
Received for publication December 29, 1975 and in final form April 14, 1976. Abbreviation: E-M-M, Ederer-Myers-Mantel (reference 1). From the Biometry Branch, National Cancer Institute, Bethesda, MD 20014. 1Presently with Biostatistics Center, George Washington University, 7979 Old Georgetown Road, Bethesda, MD 20014. Supported in part by USPHS Grant CA-15686 from the National Cancer Institute.

Funding

Received for publication December 29, 1975 and in final form April 14, 1976. Abbreviation: E-M-M, Ederer-Myers-Mantel (reference 1). From the Biometry Branch, National Cancer Institute, Bethesda, MD 20014. 1Presently with Biostatistics Center, George Washington University, 7979 Old Georgetown Road, Bethesda, MD 20014. Supported in part by USPHS Grant CA-15686 from the National Cancer Institute.

Funders	Funder number
National Childhood Cancer Registry – National Cancer Institute
U.S. Public Health Service	CA-15686

Keywords

Biometry
Disease
Disease models

ASJC Scopus subject areas

Epidemiology

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10.1093/oxfordjournals.aje.a112333

Cite this

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title = "Tables and formulas for extended use of the ederer-myers-mantel disease-clustering procedure",

abstract = "The principles of the Ederer-Myers-Mantel procedure for seeking evidence of disease clustering are reviewed. The procedure is based on cumulative empirical clusters, i.e., the largest frequency in a single time period or in two successive time periods, and comparing that cumulation with the expected cumulation of largest frequencies under random occurrence. Original tabulations covered totals of up to 15 cases distributed among three, four or five time periods. Present tabulations of expectations and variances cover up to 500 cases distributed among two or three time periods and 200 cases distributed among four or five time periods. Asymptotic formulas are provided for the expectation and variance of the largest frequency in a single period when arbitrarily many cases are distributed at random among two, three, four or five time periods.",

keywords = "Biometry, Disease, Disease models",

author = "Nathan Mantel and Kryscio, {Richard J.} and Myers, {Max H.}",

note = "Funding Information: Received for publication December 29, 1975 and in final form April 14, 1976. Abbreviation: E-M-M, Ederer-Myers-Mantel (reference 1). From the Biometry Branch, National Cancer Institute, Bethesda, MD 20014. 1Presently with Biostatistics Center, George Washington University, 7979 Old Georgetown Road, Bethesda, MD 20014. Supported in part by USPHS Grant CA-15686 from the National Cancer Institute.",

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doi = "10.1093/oxfordjournals.aje.a112333",

language = "English",

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AU - Mantel, Nathan

AU - Kryscio, Richard J.

AU - Myers, Max H.

N1 - Funding Information: Received for publication December 29, 1975 and in final form April 14, 1976. Abbreviation: E-M-M, Ederer-Myers-Mantel (reference 1). From the Biometry Branch, National Cancer Institute, Bethesda, MD 20014. 1Presently with Biostatistics Center, George Washington University, 7979 Old Georgetown Road, Bethesda, MD 20014. Supported in part by USPHS Grant CA-15686 from the National Cancer Institute.

PY - 1976/11

Y1 - 1976/11

N2 - The principles of the Ederer-Myers-Mantel procedure for seeking evidence of disease clustering are reviewed. The procedure is based on cumulative empirical clusters, i.e., the largest frequency in a single time period or in two successive time periods, and comparing that cumulation with the expected cumulation of largest frequencies under random occurrence. Original tabulations covered totals of up to 15 cases distributed among three, four or five time periods. Present tabulations of expectations and variances cover up to 500 cases distributed among two or three time periods and 200 cases distributed among four or five time periods. Asymptotic formulas are provided for the expectation and variance of the largest frequency in a single period when arbitrarily many cases are distributed at random among two, three, four or five time periods.

AB - The principles of the Ederer-Myers-Mantel procedure for seeking evidence of disease clustering are reviewed. The procedure is based on cumulative empirical clusters, i.e., the largest frequency in a single time period or in two successive time periods, and comparing that cumulation with the expected cumulation of largest frequencies under random occurrence. Original tabulations covered totals of up to 15 cases distributed among three, four or five time periods. Present tabulations of expectations and variances cover up to 500 cases distributed among two or three time periods and 200 cases distributed among four or five time periods. Asymptotic formulas are provided for the expectation and variance of the largest frequency in a single period when arbitrarily many cases are distributed at random among two, three, four or five time periods.

KW - Biometry

KW - Disease

KW - Disease models

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JO - American Journal of Epidemiology

JF - American Journal of Epidemiology

IS - 5

ER -

Tables and formulas for extended use of the ederer-myers-mantel disease-clustering procedure

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this