152 / FIELDS OF INSTRUCTION SPS 7949-Internship in School Psychology (6; max: 18) Prereq: 4 credits of ECC 7446 and written application to internship coordinator at least six weeks in advance of registration; open only to students officially enrolled in the school psychology program. STATISTICS College of Liberal Arts and Sciences GRADUATE FACULTY 1989-90 Chairman: R. H. Randles. Graduate Coordinator: A. I. Khuri. Professors:A. G. Agresti; V. Chew; J. A. Cornell; M. Ghosh; A. I. Khuri; R. C. Littell; L. G. Martin; Z. R. Pop- Stojanovic; R. H. Randles; P. V. Rao; J. G. Saw; R. L. Scheaffer; J. J. Shuster; D. D. Wackerly; M. C. K. Yang. Associate Professors: R. L. Carter; R. G. Marks; K. M. Portier; A. Rosalsky. Associate Research Scientist: J. A. Pendergast. Assistant Professors: R. Ballerini;J. Booth; M. Chang.. Graduate programs are available leading to Master of Science in Statistics, Master of Statistics, and Doctor of Philosophy degrees. Both master's programs usually re- quiretwo years of course work including material covered in STA 6207, 6208, 6326, 6327, 6246, 6247. In addition to passing the master's comprehensive examination, requirements for the Ph.D. degree include STA 6466, 6467, 7346, 7347, and MAA 5228. STA 5106-Computer Programs in Statistical Analysis (1) Prereq: STA 4203 or 6166. Utilization of library computer programs for analysis of balanced experimental data and regression analysis. STA 5321-Mathematical Methods of Statistics (3) Prereq: MAC 3313 or equivalent. Topics in probability and statistics, particu- larly discrete and continuous random variables, sampling distri- butions, estimation, and hypothesis testing. Applications to engineering and natural science. STA 6126-Statistical Methods in Social Research 1 (3) Descrip- tive statistics, estimation, significance tests, two-sample com- parisons, methods for nominal and ordinal data, regression and correlation, introduction to multiple regression. STA 6127-Statistical Methods in Social Research II (3) Prereq: STA 6126. Further topics in multiple regression, model building, analysis of variance, analysis of covariance, multivariate analysis of categorical data. STA 6166-Statistical Methods in Research I (4) Statistical infer- ence based on t, F, and X" tests. Analysis of variance for basic experimental designs. Factorial experiments. Regression analysis and analysis of covariance. STA 6167-Statistical Methods in Research II (4) Prereq: STA 6166. Analysis of split-plot and nested designs with incomplete blocks, confounding and fractional replications. Analysis of count data. Nonparametric methods. STA 6176-Introduction to Biostatistics (3) Prereq: STA 6207, 6327. Definitions, terminology and research design concepts, basic demographic concepts, measures of morbidity and mortal- ity, analysis of epidemiological studies and clinical trials, intro- duction to survival analysis. STA 6177-Advanced Topics in Biostatistics (3) Prereq: STA 6176. Analysis of biological assays, logit and probit analysis, nonlinear regression, survivorship analysis and competing risks analysis, advanced methods for clinical trials. STA 6200-Fundamentals of Research Desigh (2) Choosing the research objective, determining the type of data to collect, repeated measures and blocking, choosing the sample and the randomization technique, designing a data collection form. Applications to biomedical data. STA 6201-Analysis of Research Data (3) Prereq: STA 6200. Introduction to the most commonly used statistical analyses for evaluating research data, with application to the biomedical sciences. Emphasis on choosing the appropriate procedure and evaluating the results properly, rather than on the computational aspects of the procedures. STA 6207-Design and Analysis of Experiments 1 (3) Prereq: STA 4322. Basic concepts of experimental design. Principles of statistical inference for linear models. Regression analysis, andly- sis of variance and covariance, multiple comparison procedures. Introduction to factorial and nested experiments. STA 6208-Design and Analysis of Experiments II (3) Prereq: STA 6207. Model selection in regression, tests of assumptions under- lying the use of regression and the analysis of variance. Incom- plete block designs, control of two-way heterogeneity including cross-over designs, confounding in factorial experiments, split plots and fractional factorials. STA 6209-Design and Analysis of Experiments III (3) Prereq: STA 6208. Inference for mixed models. General rules and principles of analysis of variance for balanced linear models. Repeated measures analysis. Tests of hypotheses and estimation of variance components in unbalanced linear models. Design and analysis of first order and second order response surface models. Biased estimation. Nonlinear regression. STA 6226-Sampling Theory and Application (3) Prereq: STA 6327 or consent of instructor. Theory and application of com- monly used sampling techniques; simple random sample, clus- ter, ratio, regression, stratified, multistage, and systematic samples. Special topics include wildlife surveys, non-sampling error ad- justment, categorical data analysis, and practical survey ex- amples. STA 6246-Theory of Least Squares (3) Prereq: STA 6208. A comprehensive theory covering the analysis of linear models in univariate data. Distributions of relevant central and noncentral random variables. The idempotent matrix and theorems on idempotent quadratic forms in independent, homoscedastic normal variables. The general linear model: estimability, estima- tion and inference. Applications of the model to ANOVA and regression models.The role of the generalized inverse of a matrix in theory and in practice. STA 6247-Advanced Topics in Design and Analysis (3) Prereq: STA 6246, 6207-6209. First and second order response surface designs and models. The objectives of a response surface inves- tigation. The determination of optimum conditions for response surface models. The integrated mean.square error criterion forthe choice of a design. Minimum bias estimation designs. The analysis of multiresponse experiments. Designs for nonlinear models. Some advanced topics in unbalanced mixed models. STA 6267-Sequential Methods (3) Prereq: STA 6327. Double sampling procedures, the sequential probability ratio tests, se- quential tests for composite hypotheses, sequential estimation and confidence intervals. STA 6326-Introduction to Theoretical Statistics I (3) Prereq: MAC 3313. Theory of probability. Probability spaces, continu- ous and discrete distributions, functions of random variables, multivariate distributions, expectation, conditional expectation, central limit theorem, useful convergence results, sampling distributions, distributions of order statistics, empirical distribu- tion function. STA 6327-Introduction to Theoretical Statistics II (3) Prereq: STA 6326. Estimation and hypothesis testing. Sufficiency, infor- mation, estimation, maximum likelihood, confidence intervals, uniformly most powerful tests, likelihood ratio tests, sequential testing, univariate normal inference, decision theory, analysis of categorical data. STA 6329-Statistical Applications of Matrix Algebra (2) P MAC3313, STA 6208. Basic theory of determinants, inve generalized inverses, eigenvalues and eigenvectors;ar of partitioned matrices; diagonalization and theorems; applications in least squares. STA 6466-Probability Theory I (4) Prereq: lent. Measure and probability spaces; ran tion functions; abstract Lebesgue and Sti tone; dominated, Cauchy, and mean Radon-Nikodym theorems; zero-one STA 6467-Probability Theory II (4) ability of independent random varia' convergence in distribution, characT and continuity theorems, the Linde rem, degenerate convergence critF STA 6505-Analysis of Categoric and 6207 or consent of instruc cross-classification tables, tes association. Loglinear model models and analogies wit ordinal data. STA 6526-Nonparametri consent of instructor. Infe and k-sample problems, analysis of contingency