Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology

Details Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology

2008-05-15

arxiv.org/abs/0805.2242v1

IMS Collections 2008, Vol. 1, 62-77

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/193940307000000059 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/193940307000000059

We present a general methodology for performing statistical inference on the components of a real-valued matrix parameter for which rows and columns are subject to order restrictions. The proposed estimation procedure is based on an iterative algorithm developed by Dykstra and Robertson (1982) for simple order restriction on rows and columns of a matrix. For any order restrictions on rows and columns of a matrix, sufficient conditions are derived for the algorithm to converge in a single application of row and column operations. The new algorithm is applicable to a broad collection of order restrictions. In practice, it is easy to design a study such that the sufficient conditions derived in this paper are satisfied. For instance, the sufficient conditions are satisfied in a balanced design. Using the estimation procedure developed in this article, a bootstrap test for order restrictions on rows and columns of a matrix is proposed. Computer simulations for ordinal data were performed to compare the proposed test with some existing test procedures in terms of size and power. The new methodology is illustrated by applying it to a set of ordinal data obtained from a toxicological study.

Affiliated with

Also associated with

No associations

Rating

Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical inference under order restrictions on both rows and columns of a matrix, with an application in toxicology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-509436