Analysis of Quantal Response Data by B. J. T. Morgan (auth.)

By B. J. T. Morgan (auth.)

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6 For two experiments, A and B, the data below give the numbers of houseflies (Musca domestica) airborne at several times after the initial dose of spray was administered: a fixed amount of spray was released into a wind tunnel in which the flies were allowed to fly freely. 7 The effect of two arboviruses on chicken embryos Alive Virus Facey's Paddock Tinaroo Control Inoculum titre (PFUjegg) No. of eggs Dead 3 18 30 90 17 19 19 20 3 4 8 17 1 1 2 1 13 14 9 2 3 20 2400 88000 19 19 15 19 1 2 4 9 0 0 9 10 18 17 2 0 0 17 18 Deformed Not deformed the fabrics by touch may correctly identify the prickly item by chance.

The multi-stage model supposes that various stages have to be completed, either in series or in parallel before a response is obtained. For a comprehensive review, see Kalbfleisch et al. (1983). 17) the probability of response is given by: and we can see therefore that this model is equivalent to a threshold model with a gamma-distributed tolerance distribution. This is in fact a limiting case of an extended threshold model presented by Prentice (1976b), based on the log F distribution, with cumulative distribution function, F(z) = f z - oo ewml(1 + ew)-(m!

1 Busvine (1938) examined the toxicity of ethylene oxide, applied to the grain beetle, Calandra granaria. 033 Number of insects affected Number of insects 23 30 29 22 23 7 12 17 10 0 30 30 31 30 26 27 31 30 31 24 f3 5 50 -10 ............ -- =-:J.. -,... 1. 1. I b- =:;::J.. 93. We discuss the construction of these errors and correlation later. The size of the correlation results because the doses {x;} have not been 'centred' - see Marquardt (1980)- and is mirrored in the elongated contours of negative slope.

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