Research, Measurement and Statistics Minor

History of multivariate statistics, univariate vs. multivariate statistics, matrix algebra, multivariate analysis of variance, canonical correlation, discriminant analysis and multivariate analysis of contingency tables.

Statistical theory and simulation of statistical distributions. Topics include factors affecting sampling distributions, sampling from different distributions, Chebyshev’s theorem, Central Limit Theorem, probability distributions, statistical distributions (normal, t, chi-square, correlation, regression), Power (sample size, Type I error, Type II error, confidence interval, effect size), Monte Carlo, meta-analysis, bootstrap and jackknife techniques.

History of testing and assessment as related to education and psychology, standards for educational and psychological testing, and conceptualization of constructs and latent variables. Classical Test Theory, including procedures for item analysis, estimating reliability and validity in the construction of norm-referenced and criterion-referenced tests. Generalizability theory, including multiple sources of measurement error in simple and higher order designs for both G- and D-studies

Introduction to and application of multiple regression and related methods to analysis of data from correlational and experimental studies in education and related disciplines. Topics include introduction to the general linear model, simple and multiple linear regressional analysis, data inspection and transformation, non-linear regression, trend analysis, cross validation procedures and utilization of statistical software for conducting regression analyses.