STATISTICS (STAT) William A. Feldman James E. Dunn Degree Conferred: M.S. (STAT)
The Master of Science degree program in statistics is intended to provide training for a professional career, principally in applied statistics. Toward this end, students with degrees other than in mathematics, as well as mathematics majors, are encouraged to apply for admission. Requirements for this degree may be satisfied by completing either the Statistics option or the Biometry option. A suggested outline of course work may be obtained by contacting the Chairman of Studies. Requirements for the Master of Science Degree: Statistics Option: A candidate must complete a minimum of 30 hours of graduate credits which must include the following: STAT 4001L and 4003 or 4033, 4373, 5103, 5113, 5313, 5333, 5343, 5353, 5383 and 610V(3), in addition to MATH 4363. CSCI 1023/1021L, MATH 3083, and 4513 or 3423 (or their equivalent) are prerequisites and otherwise will be considered as deficiencies. Biometry Option: A candidate must complete a minimum of 36 graduate credits which must include the following: STAT 4001L, 4003, 4373, 5103, 5113, 5313, 5333, and 5353, and AGST 5803, 5901, and 5913. AGST 4011, 4023, and 5014 may be accepted as substitutes for STAT 4001L, 4003, or 4373, respectively. MATH 2574 and 3083, or their equivalents, are prerequisites and otherwise will be considered as deficiencies.
COURSES: STATISTICS (STAT) STAT4003 Statistical Methods (FA, SP) Concepts of probability, sampling, regression, and experimental design. Corequisite: STAT 4001L. Prerequisite: MATH 2554. STAT4001L Statistics Methods Laboratory (FA, SP) Emphasis on use of integrated statistical packages to complement statistical methodology being covered concurrently in STAT 4003. Corequisite: STAT 4003. STAT4033 Nonparametric Statistical Methods (FA, SP, SU) Chi square tests. Kolmogorov-Smirnov goodness-of-fit tests, the Mann-Whitney and Wilcoxon 2-sampling tests, and various nonparametric measures of association. Prerequisite: MATH 1203 and junior standing. STAT4043 Sampling Techniques (FA, SP, SU) Considers optimum techniques of simple random, stratified random, cluster, systematic and multistage sampling from finite populations subject to cost precision constraints. Wide range of application. Prerequisite: STAT 4003. STAT4373 Experimental Design (SP) Topics in the design and analysis of planned experiments, including randomized block, Latin square, split plot, and BIB designs, use of fractional factorial replication, and repeated measures. Prerequisite: STAT 4003. STAT5103 Theory of Statistics (FA) Fundamentals of probability, distribution theory, and random variables; expected value, moments, and generating functions; classic parametric families of distributions; central limit theorems, inequalities, and laws of large numbers. Prerequisite: MATH 2574. STAT5113 Statistical Inference (SP) Statistical theory of estimation and testing hypothesis. Prerequisite: STAT 5103. STAT5313 Regression Analysis I (SP) Matrix formulation of least squares and multiple regression models. Estimability and use of the generalized inverse in analysis of variance and covariance models of less than full rank. Computational aspects are emphasized. STAT5322 Statistical Packages (FA, SP) Emphasis on use of digital computer to perform statistical data analysis through the use of integrated statistical packages. Instruction includes use of the SAS, SPSS, and BMD packages. Data management operations as well as formal statistical procedures such as ANOVA and regression are considered. Prerequisite: 3 hours of statistics. STAT5333 Analysis of Categorical Responses (SP) A modern treatment, including extensions of classical probit analysis, multivariate logistic models, GSK model, loglinear models in analysis of multiway contingency tables, and nonmetric multidimensional scaling. Prerequisite: STAT 5313. STAT5343 Stochastic Processes (FA, SP, SU) Markov chains, branching processes, birth-death processes, queuing theory with application. Prerequisite: STAT 5103. STAT5353 Methods of Multivariate Analysis II (SP) Hotelling's T2 procedures, multivariate analysis of variance, discriminant function analysis and problems of classification, multidimensional scaling, and cluster analysis. Prerequisite: STAT 5313. STAT5383 Time Series Analysis (FA, SP, SU) Identification, estimation and forecasting of time series. Spectral analysis including the fast Fourier transform computational aspects are emphasized. Prerequisite: STAT 5103. STAT5413 Spatial Statistics (FA) Applied spatial statistics, covering univariate spatial modeling (kriging), multivariate spatial modeling (cokriging), methods of estimation and inference, and spatial sampling designs. Special relevance to remote sensing. Prerequisite: STAT 5313. STAT610V Research in Statistics (1-4) (IR) Prerequisite: graduate standing. STAT639V Topics in Statistics (1-3) (IR) Current state of the art on methodology in one of the topics: multivariate analysis, time series analysis, sequential analysis, factor analysis, or biostatistics. May be repeated. |