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Hodges, J. L., Jr.; And Others – Journal of Educational Statistics, 1990
An Edgeworth approximation for accurate significance probabilities for the Wilcoxon two-sample test is substantially simplified. A method is developed that allows quick calculations of very accurate probabilities. Exact formulas are given for most of the remaining cases, and tables are presented comparing the new simplification to likely…
Descriptors: Equations (Mathematics), Mathematical Models, Probability, Sampling
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Tague, Jean; Nicholls, Paul – Information Processing and Management, 1987
Examines relationships among the parameters of the Zipf size-frequency distribution as well as its sampling properties. Highlights include its importance in bibliometrics, tables for the sampling distribution of the maximal value of a finite Zipf distribution, and an approximation formula for confidence intervals. (Author/LRW)
Descriptors: Bibliometrics, Least Squares Statistics, Mathematical Models, Research Methodology
Cantrell, Catherine E. – 1997
This paper discusses the limitations of Classical Test Theory, the purpose of Item Response Theory/Latent Trait Measurement models, and the step-by-step calculations in the Rasch measurement model. The paper explains how Item Response Theory (IRT) transforms person abilities and item difficulties into the same metric for test-independent and…
Descriptors: Ability, Difficulty Level, Estimation (Mathematics), Item Response Theory
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Barcikowski, Robert S. – Journal of Educational Measurement, 1972
These results indicate that in deciding on the data-gathering design to be used in seeking norm information, attention should be given to item characteristics and test length with particular attention paid to the range of biserial correlations between item response and ability. (Author)
Descriptors: Item Sampling, Mathematical Models, Measurement Techniques, Monte Carlo Methods
Kuo, Lynn; Cohen, Michael P. – 1993
Bayesian methods for estimating dose response curves in quantal bioassay are studied. A linearized multi-stage model is assumed for the shape of the curves. A Gibbs sampling approach with data augmentation is employed to compute the Bayes estimates. In addition, estimation of the "relative additional risk" and the "risk specific…
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Bunda, Mary Anne – Journal of Educational Measurement, 1973
Procedures to be applicable in situations in which large numbers of individuals are tested or in situations where multiple measures are taken. (Author/CB)
Descriptors: Data Collection, Group Norms, Individual Testing, Item Sampling
Smith, Wray; Ghosh, Dhiren; Chang, Michael – 1997
This technical report provides an updated assessment of the problem of optimizing the periodicity of the Schools and Staffing Survey (SASS). Making use of data from three rounds of SASS data collection (for school years 1987-88, 1990-91, and 1993-94), the report extends and updates the preliminary findings and interim assessments that were…
Descriptors: Costs, Data Collection, Elementary Secondary Education, Mathematical Models
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Novick, Melvin R.; And Others – Psychometrika, 1973
This paper develops theory and methods for the application of the Bayesian Model II method to the estimation of binomial proportions and demonstrates its application to educational data. (Author/RK)
Descriptors: Bayesian Statistics, Educational Testing, Mathematical Models, Measurement
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Mandeville, Garrett K. – American Educational Research Journal, 1972
Results of this study suggest that certain kinds of treatment differences may be better uncovered by viewing test data in a repeated measures format. (Author/MB)
Descriptors: Data Analysis, Data Collection, Factor Structure, Mathematical Models
Peer reviewed Peer reviewed
Tucker, Ledyard R.; Lewis, Charles – Psychometrika, 1973
Maximum likelihood factor analysis provides an effective method for estimation of factor matrices and a useful test statistic in the likelihood ratio for rejection of overly simple factor models. A reliability coefficient is proposed for analysis of factor solution. (Author/RK)
Descriptors: Analysis of Variance, Factor Analysis, Goodness of Fit, Item Sampling
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Lin, Miao-Hsiang; Hsiung, Chao A. – Psychometrika, 1992
Four bootstrap methods are identified for constructing confidence intervals for the binomial-error model. The extent to which similar results are obtained and the theoretical foundation of each method and its relevance and ranges of modeling the true score uncertainty are discussed. (SLD)
Descriptors: Bayesian Statistics, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
Synectics for Management Decisions, Inc., Arlington, VA. – 1994
The 1987-88 Schools and Staffing Survey (SASS) looked at a national sample of elementary and secondary public and private schools. Components of the SASS, a data collection effort of the National Center for Education Statistics, were surveys of teacher demand and shortage, schools, administrators, and teachers. Approximately 13,000 schools and…
Descriptors: Educational Administration, Elementary Secondary Education, Error of Measurement, Estimation (Mathematics)
Kaufman, Steven – 1991
The Schools and Staffing Survey (SASS) represents the first time the National Center for Education Statistics has integrated three of the Elementary and Secondary Education Surveys: the Teacher Demand and Shortage Surveys, Public and Private School Surveys, and Teacher Surveys. The SASS was designed to measure the critical aspects of teacher…
Descriptors: Administrators, Databases, Elementary School Teachers, Elementary Secondary Education