Combining one-sided and two-sided confidence interval procedures for successive comparisons of ordered treatment effects

    Authors

    P. Somerville; T. Miwa; W. Liu;A. Hayter

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Biom. J.

    Keywords

    critical points; directional decisions; multivariate-t distribution; ordered inference; pairwise comparisons; simultaneous confidence; intervals; Mathematical & Computational Biology; Statistics & Probability

    Abstract

    LEE and SPURRIER (1995) present one-sided and two-sided confidence interval procedures for making successive comparisons between ordered treatments. Their procedures have important applications for problems where the treatment, can be assumed to satisfy a simple ordering, such as for a sequence of increasing dose-levels of a drug. The two-sided procedure provides both upper and lower bounds on the differences between Successive treatments, whereas the one-sided procedure only provides lower bounds on these differences. However, the one-sided procedure allows sharper inferences regarding which treatments can be declared to be better than their previous ones. In this paper we apply the results obtained in HAYTER, MIWA. and LIU (2000) to develop a new procedure which combines the good aspects of both the one-sided and the two-sided procedures. This new procedure maintains the inferential sensitivity of the one-sided procedure while also providing both upper and lower bounds on the differences between successive treatments. Some new critical points are needed which are tabulated for the balanced case where the sample sizes are all equal. The application of the new procedure is illustrated with an example.

    Journal Title

    Biometrical Journal

    Volume

    43

    Issue/Number

    5

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    533

    Last Page

    542

    WOS Identifier

    WOS:000171069400002

    ISSN

    0323-3847

    Share

    COinS