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Estimation of LD50 by moving averages

  • B. M. Bennett (a1)

Extract

Methods of graduation of a series of observations by means of moving averages were discussed by Sheppard (1914), and subsequently by Sherriff (1920) and a number of other writers. These methods based on least squares or weighted least squares solutions differ from actuarial or summation methods. Thompson (1947) has proposed that the method of moving averages be considered a ‘basic’ one in the estimation of the median effective dose (LD50) of bioassay data. On the basis of an empirical study of the data of Topley and Wilson he recommended in particular the use of a three-term moving average. In a recent paper, Finney (1950) has discussed the efficiency of Thompson's moving average method generally.

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References

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Armitage, P. & Allen, I. (1950). Methods of estimating the LD50 in quantal response data. J. Hyg., Camb., 48, 298.
Finney, D. J. (1950). The estimation of the mean of a normal tolerance distribution. Sankhyã, 10, 341.
Kendall, M. G. (1946). The Advanced Theory of Statistics, vol. II, p. 374. London: Griffin and Co. Ltd.
Knudsen, L. F. & Curtis, J. (1947). The use of the angular transformation in biological assays. J. Amer. statist. Ass. 42, 282.
Sheppard, W. F. (1914). Fitting of polynomials by means of least squares. Proc. London math. Soc., ser. 2, 13, 97.
Sherriff, C. W. M. (1920). On a class of graduation formulae. Proc. roy. Soc. Edinb. 40, 112.
Thompson, W. R. (1947). Use of moving averages and interpolation to estimate median-effective dose. Bact. Rev. 11, 115.

Estimation of LD50 by moving averages

  • B. M. Bennett (a1)

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