Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0378-3758(02)00237-9
Title: A multiple directional decision procedure for successive comparisons of treatment effects
Authors: Liu, W.
Kwong, K.-S. 
Keywords: Critical points
Directional decision
Multivariate-t distribution
Pairwise comparisons
Simultaneous confidence intervals
Issue Date: 1-Sep-2003
Citation: Liu, W., Kwong, K.-S. (2003-09-01). A multiple directional decision procedure for successive comparisons of treatment effects. Journal of Statistical Planning and Inference 116 (1) : 49-59. ScholarBank@NUS Repository. https://doi.org/10.1016/S0378-3758(02)00237-9
Abstract: Suppose that the k treatments under comparison are ordered in a certain way. For example, there may be a sequence of increasing dose levels of a drug. It is interesting to look directly at the successive differences between the treatment effects μi's, namely the set of differences μ2-μ1, In particular, directional inferences on whether μiμi+1 for i=1,...,k-1 are useful. Lee and Spurrier (J. Statist. Plann. Inference 43 (1995) 323) present a one- and a two-sided confidence interval procedures for making successive comparisons between treatments. In this paper, we develop a new procedure which is sharper than both the one- and two-sided procedures of Lee and Spurrier in terms of directional inferences. This new procedure is able to make more directional inferences than the two-sided procedure and maintains the inferential sensitivity of the one-sided procedure. Note however this new procedure controls only type III error, but not type I error. The critical point of the new procedure is the same as that of Lee and Spurrier's one-sided procedure. We also propose a power function for the new procedure and determine the sample size necessary for a guaranteed power level. The application of the procedure is illustrated with an example. © 2002 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Statistical Planning and Inference
URI: http://scholarbank.nus.edu.sg/handle/10635/104943
ISSN: 03783758
DOI: 10.1016/S0378-3758(02)00237-9
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