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A distribution‐free approach to qdantal response assays
Author(s) -
Shuster Jonathan J.,
Yang Mark C. K.
Publication year - 1975
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315099
Subject(s) - nonparametric statistics , mathematics , statistics , sample size determination , function (biology) , distribution (mathematics) , mathematical optimization , mathematical analysis , biology , evolutionary biology
Abstract A nonparametric method is developed to estimate the minimum dosage level required to induce a given response rate in an experiment. The only assumption used about the response rate is that it is a nondecreasing function with respect to the dosage level. Let n i subjects be independently tested at dosage level x i x 1 x 2 x k . This paper presents methodology for the estimation of the smallest i such that the response probability at x i is no less than a required level p. A comparison with well‐known nonparametric methods shows that this method is better in some cases. A design of minimum required sample size for a given accuracy is also developed.