Trong không et al. (1988) dao xếp (thấy  § 10,7) được áp dụng để giảm thiểu sự thiên vị trong các ước tính khả năng tối đa: vấn đề này cũng được đề cập bởi các tác giả khác (xem Mehrabi & Matthews, năm 1995, và tài liệu tham khảo trong đó). | Some special assays 737 generally provides a close approximation to maximum likelihood. In Does et al. 1988 the jackknife see is applied to reduce the bias in the maximum likelihood estimate this issue is also addressed by other authors see Mehrabi Matthews 1995 and references therein . How the dilutions used in the experiment are chosen is another topic that has received substantial attention. Fisher 1966 68 although the remark is in much earlier editions noted that the estimate of log 0 would be at its most precise when all observations are made at a dilution d 1-59 0. Of course this has limited value in itself because the purpose of the assay is to determine the value of 0 which a priori is unknown. Nevertheless several methods have been suggested that attempt to combine Fisher s observation with whatever prior knowledge the experimenter has about 0. Fisher himself discussed geometric designs . those with dj C 1 dị. particularly those with c equal to 10 or a power of 2. Geometric designs have been the basis of many of the subsequent suggestions see for example Abdelbasit and Plackett 1983 or Strijbosch et al. 1987 . Mehrabi and Matthews 1998 use a Bayesian approach to the problem they found optimal designs that did not use a geometric design but they also noted that there were some highly efficient geometric designs. Most of the literature on the design of limiting dilution assays has focused on obtaining designs that provide precise estimates of 0 or log 0. Two aspects of this ought to be noted. First the designs assume that the single-hit Poisson model is correct and some of the designs offer little opportunity to verify this from the collected data. Secondly the experimenters are often more interested in mechanism than precision . they want to know that for example the single-hit Poisson model applies with precise knowledge about the value of associated parameter being a secondary matter. Although the design literature contains some general .
