ABSTRACT When factors such as treatment group, sex, or race are in interaction with a continuous variable, testing for homogeneity of slopes is straightforward. However, when there is a significant 3-way interaction between two continuous variables and a categorical variable for analysis of a continuous dependent variable, the interpretations become complex. The next step should be to look at t...

Multidimensional scaling aims at reconstructing dissimilarities between pairs of objects by distances in a low dimensional space. However, in some cases the dissimilarity itself is not known, but the range, or a histogram of the dissimilarities is given. This type of data fall in the wider class of symbolic data (see Bock and Diday (2000)). We model three-way two-mode data consisting of an inte...

Lanchester (1916) modeled combat situations between two opponents, where mutual attrition occurs continuously in time, by a pair of simple ordinary (linear) differential equations. The aim of the present paper is to extend the model to a conflict consisting of three parties. In particular, Lanchester’s main result, i.e. his square law, is adapted to a triple fight. However, here a central facto...

We have studied a series of three-way DNA junctions containing unpaired bases on one strand at the branch-point of the junctions. The global conformation of the arms of the junctions has been analysed by means of polyacrylamide gel electrophoresis, as a function of conditions. We find that in the absence of added metal ions, all the results for all the junctions can be accounted for by extended...

To avoid interference among similar memory traces it is required to form complex memory structures that include multiple components of the event, which helps one to distinguish one event from another. In a laboratory setting, these complex binding structures have been studied through a paradigm where one has to form a memory structure that includes two items and the context together (i.e., thre...

The Supreme Court decision on school desegregation 25 years ago-Brown v. Board o f ~ducatio-ushered in an era in which the law courts have carried an ever-growing share of the burden of social reform and policy change in this country. Even though several current members of the Supreme Court were appointed as "strict constructionists," and think of themselves as not in the business of setting so...

Tucker3 Analysis and CANDECOMP=PARAFAC (CP) are closely related methods for threeway component analysis. Imposing constraints on the Tucker3 or CP solutions can be useful to improve estimation of the model parameters. In the present paper, a method is proposed for applying smoothness constraints on Tucker3 or CP solutions, which is particularly useful in analysing functional three-way data. The...