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Enakshi Saha – ProQuest LLC, 2021
We study flexible Bayesian methods that are amenable to a wide range of learning problems involving complex high dimensional data structures, with minimal tuning. We consider parametric and semiparametric Bayesian models, that are applicable to both static and dynamic data, arising from a multitude of areas such as economics, finance and…
Descriptors: Bayesian Statistics, Probability, Nonparametric Statistics, Data Analysis
Lockwood, J. R.; Castellano, Katherine E.; Shear, Benjamin R. – Journal of Educational and Behavioral Statistics, 2018
This article proposes a flexible extension of the Fay--Herriot model for making inferences from coarsened, group-level achievement data, for example, school-level data consisting of numbers of students falling into various ordinal performance categories. The model builds on the heteroskedastic ordered probit (HETOP) framework advocated by Reardon,…
Descriptors: Bayesian Statistics, Mathematical Models, Statistical Inference, Computation
Engelen, Ronald J. H.; Jannarone, Robert J. – 1989
The purpose of this paper is to link empirical Bayes methods with two specific topics in item response theory--item/subtest regression, and testing the goodness of fit of the Rasch model--under the assumptions of local independence and sufficiency. It is shown that item/subtest regression results in empirical Bayes estimates only if the Rasch…
Descriptors: Bayesian Statistics, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Muchinsky, Paul M.; Skilling, Nancy J. Langham – Educational and Psychological Measurement, 1992
The economic utility of the following 5 weighting methods for evaluating consumer loan applications was determined using a sample of 443 loans: (1) unit; (2) weighted application blank; (3) chi square; (4) Bayes; and (5) regression. The unit and weighted application blank procedures were the best approaches. (SLD)
Descriptors: Bayesian Statistics, Chi Square, Comparative Analysis, Cost Effectiveness
Mislevy, Robert J. – 1987
Standard procedures for estimating item parameters in Item Response Theory models make no use of auxiliary information about test items, such as their format or content, or the skills they require for solution. This paper describes a framework for exploiting this information, thereby enhancing the precision and stability of item parameter…
Descriptors: Bayesian Statistics, Difficulty Level, Estimation (Mathematics), Intermediate Grades
Webster, William J.; And Others – 1996
Five issues relative to the use of different Ordinary Least Squares (OLS) and Hierarchical Linear Modeling (HLM) models to identify effective schools and teachers were examined using data from all students in the Dallas (Texas) public schools in grade 3 in 1994 and grade 4 in 1995. OLS models using first- and second-order interactions produced…
Descriptors: Academic Achievement, Bayesian Statistics, Correlation, Effective Schools Research
Rule, David L. – 1993
Several regression methods were examined within the framework of weighted structural regression (WSR), comparing their regression weight stability and score estimation accuracy in the presence of outlier contamination. The methods compared are: (1) ordinary least squares; (2) WSR ridge regression; (3) minimum risk regression; (4) minimum risk 2;…
Descriptors: Analysis of Covariance, Bayesian Statistics, Comparative Analysis, Computer Simulation
Houston, Walter M.; Sawyer, Richard – 1988
Methods for predicting specific college course grades, based on small numbers of observations, were investigated. These methods use collateral information across potentially diverse institutions to obtain refined within-group parameter estimates. One method, referred to as pooled least squares with adjusted intercepts, assumes that slopes and…
Descriptors: Bayesian Statistics, College Students, Colleges, Comparative Analysis
Perry, Patricia D. – 1993
Researchers have been limited in their ability to examine multiple constructs simultaneously due to the constraints imposed by traditional statistical methods. The most notable limitations include the need for a relatively large sample size while restricting the variables to a relatively small number. The application of a newly discovered…
Descriptors: Adolescents, Analysis of Covariance, Bayesian Statistics, Correlation
Houston, Walter M. – 1988
Two methods of using collateral information from similar institutions to predict college freshman grade average were investigated. One central prediction model, referred to as pooled least squares with adjusted intercepts, assumes that slopes and residual variances are homogeneous across selected colleges. The second model, referred to as Bayesian…
Descriptors: Bayesian Statistics, College Freshmen, Colleges, Comparative Analysis
Noble, Julie P.; Sawyer, Richard – 1988
The validity of American College Testing Program (ACT) test scores and self-reported high school grades for predicting grades in specific college freshman courses was studied. Specific course grades are typically used to place students in remedial, standard, or advanced classes. These placement decisions, in turn, have immediate implications for…
Descriptors: Bayesian Statistics, College Freshmen, Comparative Analysis, Evaluation Methods