A simplified proof of a lemma by Ledermann, which lies at the core of the factor indeterminacy issue, is presented. (Author)

Earlier Analyses are shown to involve special cases of the equations developed here; also that a general four-state chain has the same parameter space as an all-or-none model if and only if its representation with an observable absorbing state is lumpable into a Markov chain with three states. (Author/GS)

Presents a model for the removal of ozone from air masses by vegetation. Compares simulation with Los Angeles data, and suggests needed research. (AL)

The authors, members of a group that has been studying university planning since 1965, describe a mathematical, computerized model of university activities which they are now constructing, using data from the University of Reading. (JW)

Data are often a continuous function of a variable such as time observed over some interval. One or more such functions might be observed for each subject. The extension of classical data analytic techniques to such functions is discussed. (Author/JKS)

Some mathematical aspects of minimum trace factor analysis (MTFA) are discussed. The uniqueness of an optimal point of MTFA is proved, and necessary and sufficient conditions for any particular point to be optimal are given. The connection between MTFA and classical minimum rank factor analysis is discussed. (Author/JKS)

A variety of problems associated with the interpretation of traditional canonical correlation are discussed. A response surface approach is developed which allows for investigation of changes in the coefficients while maintaining an optimum canonical correlation value. Also, a discrete or constrained canonical correlation method is presented. (JKS)

This paper explains how a major statistical package (BMDP) can be used to produce partial, semipartial, or bipartial set correlation in terms of a procedure outlined by Karpman (1980). (BW)

When research focuses on the conditions of measurement, the dimensions of the measurement design should be transposed to differentiate conditions while generalizing over persons. To clarify this transposition, the notions of face of differentiation and face of generalization are introduced as complementary aspects of the design. An example is…

A maximum likelihood procedure is developed for multidimensional scaling where similarity or dissimilarity measures are taken by such ranking procedures as the method of conditional rank orders or the method of triadic combinations. An example is given. (Author/JKS)

A recursive dynamic programing strategy for reorganizing the rows and columns of square proximity matrices is discussed. The strategy is used when the objective function measuring the adequacy of the reorganization has a fairly simple additive structure. (Author/JKS)

The possibility of using a Q-analysis also for nominal data is discussed, using the J-index as a measure of similarity between persons. An example is given when ten persons sorted 16 playing cards into as many groups as they wished. A Q-analysis of these data gave a natural two-dimensional structure. (Author/BW)

The binomial effect size display (BESD) displays the change in success rate attributable to a treatment procedure. It is readily understandable, applicable in varied contexts, and conveniently computed. (Author/GK)