On a Multivariate Version of Fieller’s Theorem
- 1 January 1959
- journal article
- research article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 21 (1) , 59-62
- https://doi.org/10.1111/j.2517-6161.1959.tb00313.x
Abstract
SUMMARY: The use of Fieller’s theorem for determining confidence limits for a ratio α of bivariate normal means is a standard procedure in biological assay problems (Fieller, 1940, 1944; Finney, 1952, Chapter 2). Occasionally situations arise wherein several successive samples of correlated measurements are involved, and then particular interest attaches to the corresponding problem of confidence limits for the common ratio of multivariate means based on successive samples. For example, in clinical trials on experimental subjects concerning the effectiveness of a certain therapeutic substance as compared with a control or placebo, correlated clinical measurements may be obtained at a number of participating research laboratories. An approximate method is also discussed by Clarke (1956) for an example in microbiological assay.This publication has 3 references indexed in Scilit:
- A Note on the Combination of Estimates of Relative Potency in Multiple AssaysBiometrics, 1956
- The Biological Standardization of InsulinJournal of the Royal Statistical Society Series B: Statistical Methodology, 1941
- The Generalization of Student's RatioThe Annals of Mathematical Statistics, 1931