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Estimating the date of infection from individual response times

Published online by Cambridge University Press:  15 May 2009

G. G. Meynell  and
Trevor Williams
G. G. Meynell
Affiliation:
Guinness-Lister Research Unit, Lister Institute of Preventive Medicine, Chelsea Bridge Road, London, S. W. 1
Trevor Williams
Affiliation:
Department of Mathematics, Duke University, Durham, North Carolina, 27706, U.S.A.
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In principle, an unknown date of infection can be estimated from individual response times, provided some function of these with suitable origin is symmetrically distributed. Observed times are always skewly distributed, and either logarithm or reciprocal of time can be used to produce symmetry. Either is equally justifiable but the resulting estimates are not only very imprecise but are also inconsistent, so that neither is of practical value.

Type
Research Article
Information
Journal of Hygiene , Volume 65 , Issue 2 , June 1967 , pp. 131 - 134
Copyright
Copyright © Cambridge University Press 1967

References

Aitchison, J. & Brown, J. A. C. (1963). The Lognormal Distribution. Cambridge University Press.Google Scholar
Bryan, W. R. (1957). Interpretation of host response in quantitative studies on animal viruses. Ann. N.Y. Acad. Sci. 69, 698.CrossRefGoogle ScholarPubMed
Cavalli, L. & Magni, G. (1943). Quantitative Untersuchungen über die Virulenz. III. Mitteilung: Analyse der Häufigkeitsverteilung der Absterbezeiten von inflzierten Mäusen. Zentbl. Bakt. ParasitKde, Abt. 1, Orig. 150, 353.Google Scholar
Martin, A. R. (1946). The use of mice in the examination of drugs for chemotherapeutic activity against Mycobacterium tuberculosis. J. Path. Bact. 58, 580.CrossRefGoogle ScholarPubMed
Meynell, G. G. (1963). Interpretation of distributions of individual response times in microbial infections. Nature, Lond. 198, 970.CrossRefGoogle ScholarPubMed
Meynell, G. G. & Meynell, E. W. (1958). The growth of micro-organisms in vivo with particular reference to the relation between dose and latent period. J. Hyg., Camb. 56, 323.CrossRefGoogle Scholar
Sartwell, P. E. (1950). The distribution of incubation periods of infectious disease. Am. J. Hyg. 51, 310.Google ScholarPubMed
Sartwell, P. E. (1952). The incubation period of poliomyelitis. Am. J. publ. Hlth 42, 1403.CrossRefGoogle ScholarPubMed
Sartwell, P. E. (1966). The incubation period and the dynamics of infectious disease. Am. J. Epidem. 83, 204.CrossRefGoogle ScholarPubMed
Williams, T. (1965). The basic birth-death model for microbial infections. Jl R. statist. Soc. 27, 338.Google Scholar