Relations on a finite set V are viewed as weighted graphs. Using the language of graph theory, two methods of partitioning V are examined: selecting threshold values and applying them to a maximal weighted spanning forest, and using a parametric linear program to obtain a most adhesive partition. (Author/EM)

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 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)

Model modification problems in covariance structure analysis are examined. The Modification Index, suggesting modifications based on a test statistic's largest drop in overall value, and the Expected Parameter Change, suggesting modifications based on the removal of large specification errors, are applied to two specifications of the Wisconsin…

When the highest-way association is present in a 3-way cross-classification of frequencies, standard logit and loglinear models have an many parameters as there are cells in the table; that is, the models are "saturated." Extensions of logit and loglinear models are described here that provide more parsimonious alternatives to saturated…

This study analytically examined the multiple comparison procedures for testing a combined set of planned and post hoc comparisons. To establish a practical guideline, the following issues were investigated: (1) when the generalized sequentially rejective Bonferroni method (GSRB) is and is not applicable; (2) the required alpha levels for the GSRB…

The indexing depth in several documentation systems is shown to have a mixed Poisson distribution. (PF)

B. De Finetti's "Fundamental Theorem of Probability" is reformulated as a computable linear programming problem. The theorem is substantially extended, and shown to have fundamental implications for the theory and practice of statistics. It supports an operational meaning for the partial assertion of prevision via asserted bounds. The…

Swets' theory of information retrieval allows the threads of document weighting formulae, probabilistic measures of effectiveness, and management theory, to be woven into a coherent pattern. Benefits are: the beginnings of a quantitative description of retrieval languages; destinction between retrieval systems and language; and question generality…

Box's method of approximation for the null distributions of likelihood criteria is described. It simplifies the formulas, describes a method of obtaining f, phi, and rho directly from given values, and provides two illustrations of the method. (DJ)

Component analysis provides an attractive alternative to factor analysis, since component scores are easily determined while factor scores can only be estimated. The correct method of determining component scores is presented as well as several illustrations of how commonly used incorrect methods distort the meaning of the component solution. (RC)

The role of conditionality in the INDSCAL and ALSCAL multidimensional scaling procedures is explained. The effects of conditionality on subject weights produced by these procedures is illustrated via a single set of simulated data. Results emphasize the need for caution in interpreting subject weights provided by these techniques. (Author/JKS)

Proposes a probabilistic mechanism to describe various forms of the Bradford phenomenon reported in bibliographic research. The inclusion of a time parameter in the model to allow predictions of dynamic systems is explained. (58 references) (CLB)