Drop-the-losers designs were introduced for normal distributions as a method of combining phase II and III clinical trials together under a single protocol with the purpose of more rapidly evaluating drugs by eliminating as much as possible the delays that typically occur between the two phases...

Finite mixture modeling, together with the EM algorithm, have been widely used in clustering analysis. Under such methods, the unknown group membership is usually treated as missing data. When the "complete data" (log-)likelihood function does not have an explicit solution, the simplicity of the...

We propose an isotonic logistic discrimination procedure which generalises linear logistic discrimination by allowing linear boundaries to be more flexibly shaped as monotone functions of the discriminant variables. Under each of three familiar sampling schemes for obtaining a training dataset,...

Stimulated by practical concerns in the use of order restricted estimators, we study some bias issues of isotonic estimators of ordered parameters. We obtain explicit expressions for biases of order restricted estimators of ordered means of two normal populations with common variance. Based on...

There are a number of possible statistical procedures that can be used for analyzing ordinal categorical data collected in a designed experiment. In this paper we present an approach which allows us to do a preliminary examination of the data set to see whether or not the statistical results are...