This study aimed at developing some of the mathematical modelling skills necessary for the student teachers in mathematics education College. Modeling involves making genuine choices, modeling problems have many possible justifiable answers, modeling problems matter to the end-user who needs to understand something or make a decision. Modeling…

Interventions that aim to promote social competence, reduce problem behavior, and improve school climate are common at all levels of schooling. This whole-school focus, coupled with researchers' concerns about contamination or spillover effects in evaluations that randomly assign classrooms or students to conditions, as well as advances in…

The mathematical description of recidivism is shown to be improved by using a limited or asymptotic growth curve rather than a linear relationship over time. The proposed curve for failure rate may also be applied to other programs for behavioral change. (CTM)

Educational outcomes are affected by student level, classroom level, and school level characteristics. The fact that educational data are multilevel in nature poses serious analysis questions. Though strong arguments can be made for focusing on a single level of analysis, such studies have several basic limitations: the choice of analytic level…

To the data analyst, outliers can present both a problem and an opportunity. Stray or outlying observations can severly distort estimates of a distribution's central tendency (like the mean) and estimates of one variable's relationship to another (like the regression coefficient). These problems are frequent and serious, and as a result,…

Three methods that can be used subsequent to a regression analysis to determine the relative effectiveness of schools are Dyer's Performance Indices, Scheffe's hyperbolic confidence bands, and Gafarian's linear confidence bands. These methods were applied to data from 54 hypothetical schools randomly generated from a multivariate normal…

Focuses on the fact that an educational treatment typically involves an intervention in a growth process. By modelling this process, expected growth for various treatment groups under control conditions may be estimated. Actual growth can be compared with projected growth to estimate the value-added by the program. A simple model is developed. (RC)

This is a critical review of the analytical models developed by the U.S. Army to predict training device effectiveness. The Simulation Systems Technical Area of the U.S. Army Research Institute for the Behavioral and Social Sciences performed the research. Special consideration is given to a family of models known collectively as TRAINVICE. These…

The Head Start data analyzed by Magidson (1977) were reanalyzed using Joreskog's (1976) LISREL computer program methodology. The hypothesis that the Head Start program produced zero effects on the cognitive abilities of its participants was evaluated by several Chi Square tests. In all cases, the null hypothesis could not be rejected. (Author/CTM)

In a reply to the previous article (TM 503 435), Magidson disparages the arbitrary application of the .05 significance level to these data, responds to several assertions, and provides additional data in support of his original article showing positive effects for Project Head Start. (CTM)

A statistical model is presented for evaluating the effectiveness of the Demerit Points System of Victoria (Australia) in reducing traffic offenses. Estimates of the mean waiting time between offenses were made by maximum likelihood methods. Empirical results with 46,982 drivers--participants in a Driver Improvement Program--support the system's…

This dissertation begins with a description of some methods employed in making public-sector resource-allocation decisions, with conclusions on the appropriateness of each method for evaluating the ongoing programs of a school system. The second section has been rewritten and published as "A Comprehensive Theory of Cost-Effectiveness" (EA 002…

In evaluation research studies, it often occurs that several program participants (experimentals) drop out of the program prior to completion. Since noncompleters generally differ substantially from completers in many respects, a control group which originally was representative of the participant group will most likely not be representative of…

The results of a study which used the regression discontinuity model in the analysis of criterion-referenced test data are presented and inherent drawbacks in the use of the regression discontinuity model with this type of data are discussed. The discussion is based on the results of an analysis of data collected in the Mesa, Arizona School…

Two questions are investigated here: What should the unit of analysis be in investigations of educational effects and on what basis should the units be chosen Under what conditions can relationships among measurements on individuals be estimated from the relationships among measurements on aggregates of individuals? Models using standard analysis…