Illustrates a modeling approach used by Singapore educators to teach mathematical skills and concepts in a problem-solving environment. (Contains 11 references.) (YDS)

Presents an activity in which students predict the growth of the population of the United Stated using three different models. (Author/NB)

Discusses a team-oriented formal testing method used in a mathematical modeling course taught during the Alma College intensive spring term. Asks the question, If a collaborative teaching method is used, how does one assess students' acquisition of problem-solving and mathematical-thinking skills? (Author/MM)

Loglinear latent class models are used to detect differential item functioning (DIF). Likelihood ratio tests for assessing the presence of various types of DIF are described, and these methods are illustrated through the analysis of a "real world" data set. (TJH)

Reports on a test of the applicability of the theory of General Scalability to documents in terms of transitivity, substitutability, and independence. Implications for the construction of test collections in information retrieval research are examined. (24 references) (EAM)

Standard procedures for estimating item parameters in item response theory ignore collateral information that may be available about examinees. Circumstances under which collateral information about examinees may be used to make inferences about item parameters more precise and circumstances under which collateral information must be used are…

The effect of large, within-examinee item difficulty variability on estimates of the proportion of consistent classification of examinees into mastery categories was studied over 2 test administrations for 100 simulated examinees. The proportion of consistent classifications was adequately estimated using the technique proposed by M. Subkoviak…

The utility of the fail-safe "N" statistic was evaluated by computing it for studies in three organizational research domains in which discrepant conclusions were reached by initial and subsequent meta-analyses. Calculation of the fail-safe "N" may have led to more cautious interpretations. Implications for meta-analyses are…

A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)

A model for student retention and attrition is presented. Focus is on alternative models for the "dampening" in attrition rates as educational programs progress. Maximum likelihood estimates for the underlying parameters in each model and a Bayesian analysis are provided. (TJH)

An empirical sampling approach was used to assess the accuracy of a Taylor approximation for the estimation of sampling errors. The sampling errors were in the statistics involved in estimating a path model based on medium-sized samples gathered using five sample designs commonly used in educational research. (TJH)

Path Analysis of Covariance Matrix (PACM) is described as a way to separately estimate measurement and structural models using standard least squares procedures. PACM was empirically compared to simultaneous maximum likelihood estimation and use of the LISREL computer program, and its advantages are identified. (SLD)

Establishes a theoretical basis for both understanding and testing the molecular level assumptions in mixtures. Considers activity coefficient models and equation of state mixing rules. (YP)

Situations for which the researcher should use component analysis versus common factor analysis are discussed. Topics addressed include key algebraic similarities and differences, theoretical and practical issues, the factor indeterminacy issue, latent versus manifest variables, and differences between exploratory and confirmatory analysis…

The empirical performance under null/alternative hypotheses of the likelihood ratio difference test (LRDT); Lagrange Multiplier test (evaluating the impact of model modification with a specific model); and Wald test (using a general model) were compared. The new tests for covariance structure analysis performed as well as did the LRDT. (RLC)