Estimating the concentration of propagules of a plant pathogen from soil dilution plate counts when the response is non-linear

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 46, Issue 1, 1997, Pages 111-121

  Ridout, M S ^a   Harris, D C ^a  

^a HORTICULTURE RESEARCH INTERNATIONAL   (United Kingdom)

Author keywords

Dilution series; Exponential model; Maximum likelihood estimation; Optimal design; Pathogenic fungi; Plate count method

Indexed keywords

COMPUTER SIMULATION; FUNGI; MATHEMATICAL MODELS; STATISTICAL METHODS;

DILUTION SERIES; PATHOGENIC FUNGI; PLATE COUNT METHOD;

MICROORGANISMS;

EID: 0031338874     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9876.00050     Document Type: Article

References (9)

1. Breslow, N. (1990) Further studies in the variability of pock counts. Statist. Med., 9, 615-626.
2. Cologne, J. B. and Breslow, N. E. (1994) Nonparametric regression analysis of data from the Ames mutagenicity assay. Environ. Hlth Perspect., 102, 61-70.
3. Harris, D. C., Yang, J. R. and Ridout, M. S. (1993) The detection and estimation of Verticillium dahliae in naturally infested soil. Plant Pathol., 42, 238-250.
4. Irwin, J. O., Armitage, P. and Davies, C. N. (1949) Overlapping of dust particles on a sampling plate. Nature, 163, 809.
5. Krewski, D., Leroux, B. G., Bleuer, S. R. and Broekhoven, L. H. (1993) Modelling the Ames salmonella/microsome assay. Biometrics, 49, 499-510.
6. McCullagh, P. and Neider, J. A. (1989) Generalized Linear Models, 2nd edn. London: Chapman and Hall.
7. Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. (1989) Numerical Recipes (Fortran Version). New York: Cambridge University Press.
8. Roberts, E. A. and Coote, G. G. (1965) The estimation of concentration of viruses and bacteria from dilution counts. Biometrics, 21, 600-615.
9. Ross, G. J. S. (1990) Nonlinear Estimation. New York: Springer.