摘要
Quality control by attribute [A. Hald, Statistical Theory of Sampling Inspection by Attributes, Academic Press, New York, 1981; E.G. Schilling, Acceptance sampling in quality control. In: Statistics: Textbooks and Monographs, Vol. 42, Dekker, 1982; J.J. Daudin, C.S. Tapiero. Les outils et le contr脙脙le de la qualit脙脙. Economica (1996).] may be used with grain lots to control their purity. But usually the control cannot be made on each grain separately. The presence of an impurity is rather assayed in groups of grains the size of which is an important parameter which can be used to find a cost optimal acceptance sampling plan among those which give acceptable consumer's and producer's risks. This group control has been studied for virus or bacterium detection in grains by the Elisa method [Y. Maury, C. Duby, J.M. Bossenec, G. Boudazin, Group analysis using ELISA: determination of the level of transmission of Soybean Mosaic Virus in soybean seed, Agronomie 5, 1985, 405脙脙脙415; Y. Maury, C. Duby, R.K. Khetarpal, Seed certification for viruses. In: Plant Virus, Disease Control, A. Hadidi, R.K. Khetarpal, H. Koganezawa, eds., APS Press, Chap. 18, 1998, 237脙脙脙248.] and is advocated by Remund et al. [K. Remund, D. Dixon, D. Wright, L. Holden, Statistical considerations in seed purity testing for transgenic traits, Seed Sci. Res. 11, 2001, 101脙脙脙119.] for genetically modified organism (GMO) detection. But no optimization method to select the cheapest acceptance single- or double-sampling plan has yet been described.