Abstract
The comparison of the Delta and Fieller confidence intervals for the ratio of parameters estimated by normally distributed random variables has long been of interest. Our contribution is the construction of a common geometric representation of both the Delta and Fieller intervals defined by two related constrained extrema problems that are subject to a common constraint. The diagrammatic solution to these problems can be used to examine how earlier comparisons based on alternate analytic relationships and simulations have resulted in the particular conclusions they report. We find that the degree to which the Delta and Fieller intervals coincide depends not only on the univariate statistics for the estimated parameters, but also on the agreement of the sign of their estimated correlation and the ratio of estimated parameters. This article has supplementary material online.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
