Premium
On the Use of Ranks in Combined Estimates in Quantal Bioassays
Author(s) -
Bennett B. M.
Publication year - 1984
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710260706
Subject(s) - logit , mathematics , statistics , interval estimation , probit , sequence (biology) , econometrics , interval (graph theory) , binary number , probit model , estimation , confidence interval , point (geometry) , ordered probit , combinatorics , chemistry , economics , biochemistry , arithmetic , management , geometry
If { U i } i = 1, …, k is a sequence of binary responses of n i subjects at each of k successive dose levels x i , there is the problem of the statistical treatment of the observed proportions P i = U i/ni when neither the probit nor the logit transformation may be assumed. This paper considers the use of the midranks of the responses for point and interval estimation of relative potency in the case of parallel line assay in particular. More generally the problem of combining the results of several independent estimates using ranks is discussed. Several examples illustrate the method.