By B. J. T. Morgan (auth.)
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Ridout and Fenlon (1991) consider microbial control of insect pests. In this case the pathogen is delivered through food, which for a given concentration of pathogen may even result in some insects receiving no pathogen. Mechanistic models have been found to be particularly useful in justifying various forms of low dose extrapolation procedures, and we describe how in the next section. 7. Mechanistic models may provide much more, since the parameters of the model might correspond to definite aspects of the supposed mechanism.
Response data. In this model it is assumed that each individual in the relevant population has a dose tolerance, or threshold, T say, to a particular substance. If the dose administered, d, is greater than T then the individual responds. Otherwise it does not. 15 for further discussion). In this book we shall refer to tolerance/threshold models/distributions. A small fraction of individuals may have high tolerances, giving rise to a positively skewed tolerance distribution. A logarithmic dose transformation might then be advantageous if the model to be fitted assumes a symmetric tolerance distribution.
8. 7. 2. 9 are taken from a much larger study into the possible side-effects of a drug. 9 Hypersensitivity reactions to a drug, administered at four sites, A, B. CorD Site A B c D Time on drug (days) 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 11 22 20 7 78 27 399 55 Presence of a reaction (I = reaction) Sex (2 =female) Dose (mg) 1 0 0 1 0 0 0 0 2 2 1 1 2 2 1 1 250 250 250 100 250 50 150 125 12 DATA, PRELIMINARY ANALYSES AND MECHANISTIC MODELS being run before the studies were terminated.
Analysis of Quantal Response Data by B. J. T. Morgan (auth.)