Direct and indirect effects in decomposed zero-order correlations among variables in causal models are considered. Under certain circumstances, the components of the decompositions could be interpreted as direct, indirect, and spurious causal effects, plus a component called joint associations. The sum of the direct and indirect effects is the…

Latent Variables Path (LVP) models have been found to be a helpful device for the formulation and validation of complex theories in educational sciences. The estimation of parameters for LVP models can use the Maximum Likelihood (ML) or the Partial Least Squares (PLS) method. This paper focusses on the PLS method introduced by H. Wold, and…

The equity allocation model for multi-campus districts and/or large divisions is an attempt to rationally allocate expenditure appropriations among campuses or other college units. Typically, the program budget for a school district shows the budget in three dimensions: expenditure object (e.g., salaries, supplies, and contract services); program…

National Assessment of Educational Progress (NAEP) Mathematics Assessment (1982) data were analyzed using latent class models to determine patterns of distinct skills required by different exercises and to estimate the pattern distributions. The populations were 9-, 13-, and 17-year-old examinees. Skills were assumed to be intermediate between…

The development and testing of a process model of undergraduate student performance and the influence of performance on dropout rates are discussed. An important feature of the model is a feedback loop that represents knowledge of results. A mathematical elaboration of traditional ideas regarding the effect of feedback on performance is included.…

Several special cases of the general Rasch model, varying in complexity, were investigated to determine whether they could successfully model realistic multidimensional item response data. Whether the parameters of the model could be readily interpreted was also investigated. The models investigated included: (1) the vector model; (2) the product…

Much previously published material for estimating the reliability of classification has been based on the assumption that a test consists of a known number of equally weighted items. The test score is the number of those items answered correctly. These methods cannot be used with classifications based on weighted composite scores, especially if…

Using raw-to-scaled-score conversions derived from test-score equating to link item-parameter estimates from the one-parameter (Rasch) and three-parameter logistic models, this study evaluated an indirect method for converting item response theory estimates to a common scale. Data were taken from Petersen's Scholastic Aptitude Test (SAT) scale…

Complex decision-making environments often demand that a range of alternative strategies be identified and compared for their shared value in achieving desired ends. Simple parametric statistical procedures such as analysis of variance and discriminant function analysis can be used in such situations to compare (using selected criteria) the value…

In most item response theory models a particular mathematical form is assumed for all item characteristic curves, e.g., a logistic function. It could be desirable, however, to estimate the shape of the item characteristic curves without prior restrictive assumptions about its mathematical form. We have developed a practical method of estimating…

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…