This paper discusses the implementation of the Tri-Squared Test as an advanced statistical measure used to verify and validate the research outcomes. This type of statistical measure is ideal for teachers professional development as educators can create and validate instruments for educational settings. The initial research investigation published…

R. V. Hopkins (1982) has criticized the use of means as the unit of analysis in situations where intact groups, such as classes, rather than individuals have been randomly assigned to various treatment conditions. Instead, Hopkins advocated the use of certain analysis of variance (ANOVA) models that, as far as test for treatment effects are…

A marginal maximum likelihood estimation algorithm is presented for the ordered partition model of M. Wilson that does not require the set of available responses to be fully ordered. The model and its estimation algorithm are illustrated in a comparison of alternative scoring schemes for open-ended science items. (SLD)

A search for patterns in grade retention rates across grades 1-12 to construct simulation research models is described in this paper. Aggregate data from Shepard and Smith (1989) on grade retention rates from 12 American states for the year 1979-80 and from 11 states for 1985-86 were examined for across-grade patterns, supplemented by Dade County…

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…

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…

Any interstate comparison that does not take differences in the cost of education into account will give an incorrect impression of the relative levels at which different states support their schools. The lack of cost-adjusted statistics on state expenditures for elementary and secondary education interferes with policy analysis, resource…

The fit of the 3-parameter model on data from tests of cognitive ability was compared to the fit of the Ability Removing Random Guessing model of M. I. Waller (1973). Three cohorts of about 1,000 children (fourth, seventh, and tenth graders) each were administered examinations in 11 content areas. (SLD)

Viewing the reliability for criterion-referenced tests as that of mastery classification decisions, three models for determining reliability were examined using two test administrations so that two estimates could be compared to a standard. A major purpose of the research was to determine how several reliability coefficients (coefficient kappa, an…

The role that measurement error plays in the regression effect is discussed with particular reference to the RMC models for evaluating the effects of Elementary Secondary Education Act Title I programs. The norm referenced evaluation model assumes a theory of growth where the relative ranking of students remains the same from pretest to posttest…

Two approaches--Harnisch/Linn and Rasch-based--to comparing district-level student performance to system-level student performance were examined, using results for 3,607 students on a curriculum-referenced mathematics test. Both approaches addressed relative mean performance on categories of common items. A modification of one approach and an…

A Monte Carlo study was conducted to compare the performance of three statistical indices of test item bias in small samples of examinees. The statistical indices compared were the Delta method, the Mantel-Haenszel (MH) method, and the Standardization method. Sample sizes of 50, 100, and 200 were examined. One thousand samples of each size were…

Two previous meta-analyses of the test-coaching literature have yielded conclusions that differ with respect to aptitude test scores. This study attempts to resolve differences in the conclusions of these two analyses by J. A. Kulik, R. L. Bangert-Drowns, and C. L. C. Kulik (1984) and K. Pearlman (1984) by using the methods of F. L. Schmidt and J.…

Goodness of fit of raw test score data were compared, using two latent trait models: the Rasch model and the Birnbaum three-parameter logistic model. Data were taken from various achievement tests and the Scholastic Aptitude Test (Verbal). A minimum sample size of 1,000 was required, and the minimum test length was 40 items. Results indicated that…

This feasibility study was designed to gather and analyze data to determine the potential cost-effectiveness of year-round education (YRE) compared to traditional-schedule education in California. An expanded version of the Stanford Research Institute's cost model was used to fit a broad conceptualization that enabled school districts with…