James E. Dunn, Chairman of Studies, 343 Science Engineering Center, 575-5049
PROFESSORS MCNEW, TUBBS; ASSOCIATE PROFESSORS GBUR, MAUROMOUSTAKOS, MEAUX; ASSISTANT PROFESSOR BASU; RESEARCH ASSOCIATE THOMPSON
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)
4001L Statistics Laboratory (Fa, Sp) Emphasis on use of integrated statistical packages to complement statistical methodology being covered concurrently in STAT 4003. Corequisite: STAT 4003.
4003 Statistical Methods (Fa, Sp) Concepts of probability, sampling, regression, and experimental design. Prerequisite: MATH 1203 or equivalent (or consent of instructor). Corequisite: STAT 4001L.
4033 Nonparametric Statistical Methods Chi square tests. Kolmogorov-Smirnov goodness-of-fit tests, the Mann-Whitney and Wilcoxon two-sample tests, and various nonparametric measures of association. Prerequisite: MATH 1203 and junior standing.
4043 Sampling Techniques 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.
4373 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.
5103 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.
5113 Statistical Inference (Sp) Statistical theory of estimation and testing hypotheses. Continuation of STAT 5103. Prerequisite: STAT 5103.
5133 Inferential Statistics for Psychology (Fa) Inferential statistics, including representative parametric tests of significance. Special emphasis on analysis of variance, covariance, and variance component estimators as applied to psychological research. (Same as PSYC 5133.) Prerequisite: STAT 2013 or PSYC 2013 and consent of instructor.
5143 Advanced Descriptive Statistics for Psychology (II) Special correlation techniques followed by a survey of representative nonparametric tests of significance. Major emphasis on advanced analysis of variance theory and designs. (Same as PSYC 5143.) Prerequisite: PSYC 5133 and consent of instructor.
5303 Probability Theory (Irregular) Probability spaces, distribution and characteristic functions, central limit theorems, conditional probability. Prerequisite: STAT 5103 and graduate standing.
5313 Methods of Multivariate Analysis I (Fa) Least squares and multiple regression analysis, canonical correlation, principal components analysis, and variations of modern factor analysis. Computer applications are emphasized. Prerequisite: 6 hours of statistics and MATH 2043, or equivalent.
5322 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.
5333 Analysis of Categorical Response (Su) 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: MATH 2043 and STAT 4003 or consent.
5343 Stochastic Processes Markov chains, branching processes, birth-death processes, queueing theory with application. Prerequisite: STAT 5103.
5353 Methods of Multivariate Analysis II (II) Hotelling's T2 procedures, multivariate analysis of variance, discriminant function analysis and problems of classification, multidimensional scaling, and cluster analysis. Prerequisite: STAT 5313.
5363 Linear Statistical Models Prerequisite: STAT 5313.
5373 Analysis of Variance Emphasis is on efficient design of experiments when faced with experimental requirements of precision and economy. Topics include blocking and factorization of factorial experiments, response surface, balanced incomplete block, and partially balanced incomplete block designs, and designs for variance component estimation. Statistical analysis is considered in light of modern computer software. Prerequisite: STAT 4003.
5383 Time Series Analysis Identification, estimation and forecasting of time series. Spectral analysis including the fast Fourier transform computational aspects are emphasized. Prerequisite: STAT 5103.
610V Research in Statistics (1-4) (Irregular) Prerequisite: graduate standing and consent of instructor.
639V Topics in Statistics (1-3) (Irregular) 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 for credit. Prerequisite: consent.
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