This paper outlines a methodology that school districts can use to enhance the presentation of district-wide testing program results to administrators, school boards, teachers, and the public. Based on John Tukey's two way analysis methodology, it involves fitting this model: test score equals overall plus year plus grade plus cohort plus…

Identification and explication of construct relationships, under conditions of extraneous variable control in multiple regression and its multivariate analog, canonical analysis, were studied. Several data models were generated as a function of the interaction of partial correlation and orthogonal linear transformations on nursing examination…

The testing of research hypotheses is directly comparable to the dichotomous decision-making of medical diagnosis or jury trials--not ill/ill, or innocent/guilty decisions. There are costs in both kinds of error, type I errors of falsely rejecting a null hypothesis or type II errors of falsely rejecting an alternative hypothesis. It is important…

The interaction effects among organizational commitment, perceived personal efficacy, and expectations with respect to the impact of collective bargaining are explored in relation to their effect on the degree of faculty support for collective bargaining. Data for the analysis was derived from approximately 1,450 full-time faculty in California…

Because it is a true score model employing item parameters which are independent of the examined sample, item characteristic curve theory (ICC) offers several advantages over classical measurement theory. In this paper an approach to biased item identification using ICC theory is described and applied. The ICC theory approach is attractive in that…

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…

The use of paper folding to demonstrate polygons which give plane tessellations, conic sections, and the solutions to several problems is described. (SD)

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.

Aside from the theoretical issues involving the validity of inferences from surveys, the basic problem of producinq unbiased estimates of regression parameters and estimates of the associated standard errors has been a particularly difficult issue in dealing with results from stratified multistage sample designs such as the one used in the…

The problem of model estimation when the data are collinear was examined. Though the ridge regression (RR) outperforms ordinary least squares (OLS) regression in the presence of acute multicollinearity, it is not a problem free technique for reducing the variance of the estimates. It is a stochastic procedure when it should be nonstochastic and it…

It is noted that helping children learn how to solve problems has become a major goal for school mathematics. However, many children are not very successful at deciding what operation is appropriate for solving a given problem, and teachers often have difficulty describing or explaining how to identify the key features of a particular problem that…

For many reasons, students do not always perform on tests in ways that are congruent with their true abilities or achievement levels. Problems of this sort may be especially common on Title I evaluations where the tests administered are too difficult for a large percentage of the students. Such considerations raise the questions of whether…

Working from the premise that for any given periodical title there is some frequency of use at which it becomes cheaper for a library to acquire the publication than to borrow it, this report presents a mathematical model for estimating the costs of options associated with acquiring periodicals. Cost elements included in the model are initial…

Guttman's facet theory is described as a method for quantifying information concerning attitudes. It is stated that attitude items are not negatively correlated for usual populations. An attitude is defined as a delimited totality of behavior with respect to something and its components are elements of a set. The first step in facet research…