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Hedges, Larry V. – Journal of Educational Statistics, 1981
Glass's estimator of effect size, the sample mean difference divided by the sample standard deviation, is studied in the context of an explicit statistical model. The exact distribution of Glass's estimator is obtained and the estimator is shown to have a small sample bias. Alternatives are proposed and discussed. (Author/JKS)
Descriptors: Data Analysis, Error of Measurement, Mathematical Models, Research Design

Berger, Martijn P. F. – Journal of Educational Statistics, 1994
Problems in selection of optimal designs in item-response theory (IRT) models are resolved through a sequential design procedure that is a modification of the D-optimality procedure proposed by Wynn (1970). This algorithm leads to consistent estimates, and the errors in selecting the abilities generally do not greatly affect optimality. (SLD)
Descriptors: Ability, Algorithms, Estimation (Mathematics), Item Response Theory

Rozeboom, William W. – Journal of Educational Statistics, 1981
Browne's definitive but complex formulas for the cross-validational accuracy of an OSL-estimated regression equation in the random-effects sampling model are here reworked to achieve greater perspicuity and extended to include the fixed-effects sampling model. (Author)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Research Design

Lecoutre, Bruno – Journal of Educational Statistics, 1991
The routine epsilon approximate test in repeated measures designs when the condition of circularity is unfulfilled uses an erroneous formula in the case of two or more groups. Because this may lead to underestimation of the deviation from circularity when the subject number is small, a correction is proposed. (Author/SLD)
Descriptors: Equations (Mathematics), Error Correction, Estimation (Mathematics), Mathematical Models

Snijders, Tom A. B.; Bosker, Roel J. – Journal of Educational Statistics, 1993
Some approximate formulas are presented for standard errors of estimated regression coefficients in two-level designs. If the researcher can make a reasonable guess as to parameters occurring in the model, this approximation can be a guide to the choice of sample sizes at either level. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models

Rubin, Donald B.; And Others – Journal of Educational Statistics, 1981
A time-saving and space-saving algorithm is presented for computing the sums of squares and estimated cell means under the additive model in a two-way analysis of variance or covariance with unequal numbers of observations in the cells. The procedure is illustrated. (Author/JKS)
Descriptors: Algorithms, Analysis of Covariance, Analysis of Variance, Computer Programs

Harris, Richard J.; Quade, Dana – Journal of Educational Statistics, 1992
A method is proposed for calculating the sample size needed to achieve acceptable statistical power with a given test. The minimally important difference significant (MIDS) criterion for sample size is explained and supported with recommendations for determining sample size. The MIDS criterion is computationally simple and easy to explain. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Experimental Groups, Mathematical Models

Jarjoura, David; Kolen, Michael J. – Journal of Educational Statistics, 1985
An equating design in which two groups of examinees from slightly different populations are administered a different test form with a subset of common items is widely used. This paper presents standard errors and a simulation that verifies the equation for large samples for an equipercentile equating procedure for this design. (Author/BS)
Descriptors: Computer Simulation, Equated Scores, Error of Measurement, Estimation (Mathematics)

Marcoulides, George A. – Journal of Educational Statistics, 1993
A methodology is presented for minimizing mean error variance in generalizability studies when resource constraints are imposed. The optimal number of observations and conditions of facets for random model, fully crossed one- and two-facet designs can be decided. Parallel closed form formulas can be determined for other designs. (SLD)
Descriptors: Budgeting, Equations (Mathematics), Error of Measurement, Generalizability Theory

Johnson, Eugene G. – Journal of Educational Statistics, 1989
The effects of certain characteristics (e.g., sample design) of National Assessment of Educational Progress (NAEP) data on statistical analysis techniques are considered. Ignoring special features of NAEP data and proceeding with a standard analysis can produce inferences that underestimate the true variability and overestimate the true degrees of…
Descriptors: Data Collection, Educational Assessment, Elementary Secondary Education, Estimation (Mathematics)

Raudenbush, Stephen W.; Bryk, Anthony S. – Journal of Educational Statistics, 1985
To facilitate meta-analysis of diverse study findings, a mixed linear model with fixed random effects is presented and illustrated with data from teacher expectancy experiments. The standardized effect size is viewed as random and the variation among effect sizes is modeled as a function of study characteristics. (Author/BS).
Descriptors: Bayesian Statistics, Educational Research, Effect Size, Hypothesis Testing

Rust, Keith F.; Johnson, Eugene G. – Journal of Educational Statistics, 1992
Procedures for obtaining student samples for the National Assessment of Educational Progress (NAEP) and deriving survey weights for analysis of survey data are described. Sample designs are economically and operationally feasible, and weighting procedures result in increased precision of estimates as they account for the probabilities of student…
Descriptors: Data Analysis, Educational Assessment, Elementary Secondary Education, Estimation (Mathematics)

Rock, Donald A.; Nelson, Jennifer – Journal of Educational Statistics, 1992
Several developments growing out of the National Assessment of Educational Progress (NAEP) are reviewed, with a discussion of their extension and application to other projects. These developments include: (1) complex matrix item sampling designs; (2) performance-based items in large-scale assessments; (3) vertical scaling; and (4) innovative…
Descriptors: Computer Assisted Testing, Educational Assessment, Elementary Secondary Education, Evaluation Methods