A probabilistic hypothesis testing procedure to assess the fit of hypothesized hierarchical structures for test item data is discussed. Statistical procedures are presented which are useful for evaluating the fit of data of a certain class of probabilistic models. These models apply to sets of dichotomous (O,1) responses for which there are…

Simplicity and flexibility of the full rank linear model motivated this paper which introduces researchers to the theory necessary to understand the model and apply the theory in the analysis of some standard fixed effects experimental designs. The theory and examples should help researchers use the model as an experimental tool and a model for…

From a series of studies financed under a grant of the Rockefeller Foundation for work in the area of production functions and income distributions.

Three procedures used to control Type I error rate in stepwise regression analysis are forward selection, backward elimination, and true stepwise. In the forward selection method, a model of the dependent variable is formed by choosing the single best predictor; then the second predictor which makes the strongest contribution to the prediction of…

The major advantage of sequential classification, a technique for automatically classifying documents into previously selected categories, is that the entire document need not be processed before it is classified. This method assumes the availability of a priori categories, a selection of keywords representative of these categories, and the a…

The difficulties in comparing profile variability (a measure of test scatter) are briefly discussed and the limitations of current techniques pointed out. Test scatter is defined as individual variation in test scores between or within various psychological and educational tests. Currently, no statistical technique for the comparison of profile…

Two aspects to be considered in designing a storage system for library materials are: the fraction of the collection which is to be stored; and the criteria to be used for selecting materials for storage. This study demonstrates that for a given selection criterion least-cost storage quantities can be assessed by balancing the large circulation…

The multivariate general linear hypothesis (MGLH) has received relatively little utilization in educational research and evaluation. This is surprising in view of the fact that recent publications have made the MGLH tractable by practitioners. This paper seeks to stimulate interest in the MGLH by reviewing recent applications, emphasizing the…

The purpose of the present study is to demonstrate the utility of data analysis methodology in evaluative research relating pupil and curriculum variables to pupil achievement. Regression models which account for achievement will result from the application of the methodology to two evaluative problems--one of curriculum comparison and another…

This paper provides a clarification of two factors--the differences in pupil need (as reflected by the proportion of disadvantaged or handicapped pupils in a district) and the differences in the prices of school inputs across districts--that affects the cost of educational services and a conceptual framework that may be useful in making welfare…

In this study, the data originally used by Hemphill, Griffiths, and Frederiksen in their "Whittman" study of principals' behavior patterns were factor analyzed using psychometric techniques. Results of the analysis substantiated four of the eight originally defined dimensions of administrative behavior, and an additional important factor termed…

This report gives some simple examples of stability for one factor and 2 x 2 factorial analysis of variance, reliability and correlations. The findings are very different: from superstability (no transformation whatsoever can change the result) to almost total instability. This is followed by a discussion of applications to multivariate analysis,…

Statistical methods that can be applied in the sequential analysis of multivariate empirical data are provided. Twenty-three specific formulas for use under varying conditions are discussed. A historical sketch of sequential analysis since World War II and a bibliography are included. (AE)

This is a preliminary report of a project which has as its goal the construction of a mathematical model representing the interrelationships among certain categories of phenomena of the secondary school. These phenomena are classified as being either administratively uncontrollable input, administratively controllable input, or output…

The utilization of computer programed mathematical models for educational planning has a brief but rapidly accelerating history. This paper describes and, to some extent, evaluates several of these models. It also discusses some of the theoretical problems associated with their formulation and implementation. Models surveyed are of: (1) the…