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Peer reviewedBecker, Betsy Jane – Journal of Educational Statistics, 1992
Combining information to estimate standardized partial regression coefficients in a linear model is discussed. A combined estimate obtained from the pooled correlation matrix is proposed, and its large sample distribution is obtained. The method is generalized to handle a random effects model in which correlation parameters vary across studies.…
Descriptors: Correlation, Equations (Mathematics), Estimation (Mathematics), Hypothesis Testing
Peer reviewedBerger, Martijn, P. F. – Psychometrika, 1992
A generalized variance criterion is used for sequential sampling in the two-parameter item response theory model. Some principles are offered to enable the researcher to select the best sampling design for efficient estimation of item parameters. Topics include the choice of an optimality criterion, two-stage designs, and sequential designs. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Evaluation Criteria, Graphs
Peer reviewedDe Ayala, R. J.; Hertzog, Melody A. – Multivariate Behavioral Research, 1991
Multidimensional scaling (MDS) and exploratory and confirmatory factor analyses were compared in the assessment of the dimensionality of data sets, using sets generated to be one-dimensional or two-dimensional and differing in degree of interdimensional correlation and number of items defining a dimension. (SLD)
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Factor Structure
Peer reviewedBorg, Ingwer; Staufenbiel, Thomas – Multivariate Behavioral Research, 1992
The representation of multivariate data by icons is discussed. The factorial sun is suggested as superior to the commonly used snowflake or sun icons and as better representing the values of the different variables and their correlational structure. Two experiments with 60 college students demonstrate the factorial sun's superiority. (SLD)
Descriptors: College Students, Comparative Analysis, Computer Oriented Programs, Correlation
Peer reviewedArmstrong, Ronald D.; And Others – Psychometrika, 1992
A method is presented and illustrated for simultaneously generating multiple tests with similar characteristics from the item bank by using binary programing techniques. The parallel tests are created to match an existing seed test item for item and to match user-supplied taxonomic specifications. (SLD)
Descriptors: Algorithms, Arithmetic, Computer Assisted Testing, Equations (Mathematics)
Peer reviewedAdema, Jos J. – Applied Psychological Measurement, 1992
Two methods are proposed for the construction of weakly parallel tests based on a prespecified information function. A method is then described for selecting weakly parallel tests that are optimal with respect to the Maximin criterion. Numerical examples demonstrate the practicality of the tests. (SLD)
Descriptors: Equations (Mathematics), Heuristics, Item Banks, Item Response Theory
Peer reviewedBissett, Randall; Schneider, Bruce – Psychometrika, 1991
The algorithm developed by B. A. Schneider (1980) for analysis of paired comparisons of psychological intervals is replaced by one proposed by R. M. Johnson. Monte Carlo simulations of pairwise dissimilarities and pairwise conjoint effects show that Johnson's algorithm can provide good metric recovery. (SLD)
Descriptors: Algorithms, Comparative Analysis, Computer Simulation, Equations (Mathematics)
Peer reviewedTate, William F.; And Others – Educational Policy, 1993
A restrictive form of equality limits African Americans' ability to benefit equally from public schooling. The "Brown" decision represents the Supreme Court's attempt to apply a mathematical solution to a social problem and left schools free to develop responses that failed to address African-American students' needs. A more expansive…
Descriptors: Blacks, Court Litigation, Educational Quality, Elementary Secondary Education
Peer reviewedHungerford, Thomas; Upshaw, Wayne – Economics of Education Review, 1994
Focuses on a specific federal credit program (the guaranteed student loan program), using the Engle and Granger two-step procedure to estimate an error correction model of commercial student loan supply. Results indicate that the secondary market is an important determinant of commercial student loan lending and that commercial supply is inelastic…
Descriptors: College Students, Federal Programs, Higher Education, Human Capital
Peer reviewedConfrey, Jere; Smith, Erick – Educational Studies in Mathematics, 1994
Describes a covariational, rather than correspondence, approach to functions that emphasizes rate of change. Proposes three ways of understanding rate of change in relation to exponential functions. (Contains 41 references.) (Author/MKR)
Descriptors: Cognitive Processes, Constructivism (Learning), Exponents (Mathematics), Functions (Mathematics)
Peer reviewedWilcox, Rand R. – Psychometrika, 1991
New methods for comparing the medians corresponding to independent treatment groups are suggested. Procedures are based on the estimator of F. Harrell and C. Davis in conjunction with a modification and extension of the bootstrap calibration technique suggested by W. Loh. Data from two groups provide an illustration. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedNandakumar, Ratna – Journal of Educational Measurement, 1991
A statistical method, W. F. Stout's statistical test of essential unidimensionality (1990), for exploring the lack of unidimensionality in test data was studied using Monte Carlo simulations. The statistical procedure is a hypothesis test of whether the essential dimensionality is one or exceeds one, regardless of the traditional dimensionality.…
Descriptors: Ability, Achievement Tests, Computer Simulation, Equations (Mathematics)
Peer reviewedGressard, Risa P.; Loyd, Brenda H. – Journal of Educational Measurement, 1991
A Monte Carlo study, which simulated 10,000 examinees' responses to four tests, investigated the effect of item stratification on parameter estimation in multiple matrix sampling of achievement data. Practical multiple matrix sampling is based on item stratification by item discrimination and a sampling plan with moderate number of subtests. (SLD)
Descriptors: Achievement Tests, Comparative Testing, Computer Simulation, Estimation (Mathematics)
Peer reviewedKolen, Michael J. – Journal of Educational Measurement, 1991
Estimation/smoothing methods that are flexible enough to fit a wide variety of test score distributions are reviewed: kernel method, strong true-score model-based method, and method that uses polynomial log-linear models. Applications of these methods include describing/comparing test score distributions, estimating norms, and estimating…
Descriptors: Comparative Analysis, Equated Scores, Equations (Mathematics), Estimation (Mathematics)
Peer reviewedCudeck, Robert – Journal of Educational Statistics, 1991
Two algorithms that automatically select subsets of variables (PACE algorithm) and reference variables (Fabin estimators), respectively, used for the noniterative estimators are presented. The PACE algorithm is based on a nonsymmetric matrix sweep operator. A Monte Carlo experiment compares the relative performance of these estimators and others.…
Descriptors: Algorithms, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)


