General self-efficacy (GSE), individuals' belief in their ability to perform well in a variety of situations, has been the subject of increasing research attention. However, the psychometric properties (e.g., reliability, validity) associated with the scores on GSE measures have been criticized, which has hindered efforts to further establish the…

The analytically derived asymptotic standard errors (SEs) of maximum likelihood (ML) item estimates can be approximated by a mathematical function without examinees' responses to test items, and the empirically determined SEs of marginal maximum likelihood estimation (MMLE)/Bayesian item estimates can be obtained when the same set of items is…

Often quantitative data in the social sciences have only ordinal justification. Problems of interpretation can arise when least squares multiple regression (LSMR) is used with ordinal data. Two ordinal alternatives are discussed, dominance-based ordinal multiple regression (DOMR) and proportional odds multiple regression. The Q[superscript 2]…

Establishing stability, defined as observing minimal measurement error in a test-retest assessment, is vital to validating psychometric tools. Correlational methods, such as Pearson product-moment, intraclass, and kappa are tests of association or consistency, whereas stability or reproducibility (regarded here as synonymous) assesses the…

This report provides international benchmarks to help states see how students are doing in math and science within an international context. It shows how state-by-state results from the National Assessment of Educational Progress (NAEP) can be linked with nation-by-nation results from the Trends in International Mathematics and Science Study…

The National Household Education Survey (NHES) was conducted for the first time in 1991 as a way to collect data on the early childhood education experiences of young children and participation in adult education. Because the NHES methodology is relatively new, field tests were necessary. A large field test of approximately 15,000 households was…

Direct assessments of the accuracy with which raters can use a rating instrument are presented. This study demonstrated how surplus behavioral incidents scaled during the development of Behaviorally Anchored Rating Scales (BARS) can be used effectively in the evaluation of the newly developed scales. Construction of scenarios of hypothetical…

Effect sizes have been increasingly emphasized in research as more researchers have recognized that: (1) all parametric analyses (t-tests, analyses of variance, etc.) are correlational; (2) effect sizes have played an important role in meta-analytic work; and (3) statistical significance testing is limited in its capacity to inform scientific…

Lenders' billings for interest subsidy payments under the Department of Education's Guaranteed Student Loan Program (GSLP) are discussed. In fiscal year 1986, the Department of Education paid lenders $2.4 billion in interest subsidies on $39 billion of outstanding Guaranteed Student Loans. The General Accounting Office (GAO) reviewed the accounts…

The 1990 National Assessment of Educational Progress (NAEP) will mark the first time that state-level comparisons will be possible with NAEP data. The 1990 data will contain, as a trial component, state-level assessments of eighth graders in mathematics. Mathematics and reading comparisons for fourth graders will be added in 1992. Statistical…

The general linear model was described, and the influence that measurement errors have on model parameters was discussed. In particular, the assumptions of classical true-score theory were used to develop algebraic relationships between the squared multiple correlations coefficient and the regression coefficients in the infallible and fallible…

This report shows that there are many ways to confirm the accuracy, reliability, and validity of student self-reports. Examples from higher education and from public opinion polls and general surveys demonstrate some of the common sources of measurement errors and errors of substance. Part 1 of the report summarizes a few highlights from the…

Prior research in a single clinical training setting has shown Cason and Cason's (1981) simplified model of their performance rating theory can improve rating reliability and validity through statistical control of rater stringency error. Here, the model was applied to clinical performance ratings of 14 cohorts (about 250 students and 200 raters)…

The study of the same people at several occasions is known by various names: panel studies, multi-wave, multi-variable models, cohort analysis, and gain score analysis. The use of econometric concepts, path analysis, and structural equation analysis to study multi-wave, multi-variable models became widespread in methodological practice in the late…

This paper presents a new method for estimating a given latent trait variable by the least-squares approach. The beta weights are obtained recursively with the help of Fourier series and expressed as functions of item parameters of response curves. The values of the latent trait variable estimated by this method and by maximum likelihood method…