The application of maximum likelihood to dosage-mortality curves
成果类型：
Article
署名作者：
Garwood, F
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1941
页码：
4658
关键词：
摘要：
The usual practical maximum likelihood treatment of dosage-mortality problems (consisting of the transformation of % surviving into probits, adjustment and weighting of the latter, and calculation of successive regression lines) is shown to be equivalent to calculating successive corrections to the regression coefficients. The process is exactly equivalent to the method, given elsewhere by Fisher, of obtaining the maximum likelihood estimates of the parameters defining the distribution. A refinement of this method, using the actual values of the 2d derivatives of the likelihood function, instead of the expected values, converges a little more rapidly when applied to the normal distribution, but this advantage is offset by some extra arithmetical work. The 2 methods are exactly equivalent only for the distribution specified by P=i sech2 z.