Armitage P, Bennett B M, Finney D J
J Hyg (Lond). 1976 Feb;76(1):147-62. doi: 10.1017/s0022172400055030.
A procedure for combining evidence from different biological assays is shown to be equivalent both to generalized least-squares and to maximum-likelihood estimation. By appropriate nesting of hypotheses, the likelihood function can be used to test the agreement between the assays and to obtain probability limits for the combined estimate of potency. The properties of these limits are examined, with particular reference to the situation, unusual but not impossible in practice, in which the values of relative potency that they define consist of several disjoint segments instead of a single interval. The connection with general theory of estimating linear functional relations is pointed out.
一种整合来自不同生物学测定证据的方法被证明既等同于广义最小二乘法,也等同于最大似然估计。通过对假设进行适当嵌套,似然函数可用于检验测定之间的一致性,并获得效价合并估计值的概率限。研究了这些限的性质,特别参考了一种在实际中不常见但并非不可能的情况,即它们所定义的相对效价值由几个不相交的部分组成,而不是单个区间。指出了与估计线性函数关系的一般理论的联系。