Item components that might contribute to the difficulty of items on the Raven Colored Progressive Matrices (CPM) and the Standard Progressive Matrices (SPM) were studied. Subjects providing responses to CPM items were 269 children aged 2 years 9 months to 11 years 8 months, most of whom were referred for testing as potentially gifted. A second…

The effectiveness of the freshman admissions prediction equation (FAPE) at the University of Georgia (Athens) was studied, using data for 3,378 freshman (1,490 males and 1,888 females) in 1987-88. For the 1987-88 data, a previous (1982) prediction equation functioned poorly in terms of predictive accuracy. New prediction models were constructed…

Data from the 1970 National Longitudinal Survey of Labor Market Experience are employed to estimate the foregone earnings of college students. An estimation of earnings functions from male and female youths who are not enrolled in school, and the potential earnings of enrollees is derived by substituting the characteristics of enrollees into the…

Many studies of educational outcomes collect data on the socioeconomic characteristics of parents from students, and not from the parents themselves. Nevertheless, students are often fallible informants of parental status factors. A series of distinct hierarchical measurement models were used to examine the structure of errors in high school…

Research investigations on teacher training effects have focused almost exclusively on differences between group means. The present paper suggests that several interesting and important research questions might be answered by examining student variability both within and between classrooms. Student variability might be considered as an outcome to…

The purpose of this study was to investigate the effect of using multidimensional items in a computer adaptive test (CAT) setting which assumes a unidimensional item response theory (IRT) framework. Previous research has suggested that the composite of multidimensional abilities being estimated by a unidimensional IRT model is not constant…

Newman (1984) examined the causal relations between math self-concept and math achievement in an 8-year longitudinal study using Linear Structural Relations (LISREL) analyses. He concluded that math self-concept did not influence subsequent math achievement. However, the study suffered in that math self-concept was inferred from a single-item…

This study compared student performance on language-usage test items presented in two different formats: as discrete sentences and as items embedded in passages. American College Testing (ACT) Program's Assessment experimental units were constructed that presented 40 items in the two different formats. Results suggest item presentation may not…

A method for drawing inferences from complex samples is based on Rubin's approach to missing data in survey research. Standard procedures for drawing such inferences do not apply when the variables of interest are not observed directly, but must be inferred from secondary random variables which depend on the variables of interest stochastically.…

In light of the current increase in elementary and secondary school attendance coupled with a simultaneous decrease in college-age population between now and the end of the decade, this study assesses (1) the role of economic factors in determining the number of teachers certified and (2) the responsiveness of teachers in the "reserve pool" to…

These materials on geometric probability are the first unit in a course being developed by the Mathematics Department at the North Carolina School of Science and Mathematics. This course is designed to prepare high school students who have completed Algebra 2 for the variety of math courses they will encounter in college. Assuming only a knowledge…

To correct for the effects of measurement error on structural parameter estimates, many researchers are now estimating models of educational achievement with LISREL. In order to estimate such models it is desirable to obtain multiple manifest measures of the latent constructs. Many researchers restrict their models to two manifest measures per…

This paper examines the sample-free test calibration claim, derived from Rasch's structural model for test items, by comparing item difficulty and log ability estimates between different samples of ability levels. Three tests from the Ball Aptitude Battery--Inductive Reasoning, Paper Folding; and Vocabulary--were administered to three samples of…

A loglinear item response theory (IRT) model is proposed that relates polytomously scored item responses to a multidimensional latent space. Each item may have a different response function where each item response may be explained by one or more latent traits. Item response functions may follow a partial credit model (D. Andrich, 1978; and G. N.…

Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope…