James E. Dunn, Chair of Studies, SCEN 343, 575-3351
Requirements for a Minor in Statistics: MATH 2554 and 12 hours of non-cross-listed courses, including 9 hours in courses numbered 3000 and above. A student must notify the Department of Mathematical Sciences of his or her intent to minor.
Courses: Statistics (STAT)
2013 Introduction to Statistics for Psychologists (Fa, Sp, Su) Introduction to the descriptive and inferential statistics commonly used by psychologists. (Same as PSYC 2013.) Prerequisite: PSYC 2003.
2020L Biostatistics Laboratory (Sp) Computer laboratory to accompany STAT 2023. Corequisite: STAT 2023.
2023 Biostatistics (Sp) An introductory course in biostatistics emphasizing methods for collecting, graphing, and understanding data. Special emphasis is placed upon available methods for both exploratory and confirmatory data analysis. Particular attention is given to statistical methods for data sets with discrete variables. Prerequisite or corequisite: MATH 2554 Corequisite: 2020L.
2303 Principles of Statistics (Fa, Sp) A problem-oriented course with applications from many fields. Emphasis on understanding the nature of statistical orderliness implied by probability laws. Statistical analysis is treated as a means of decision making in the face of uncertainty.
3013 Introduction to Probability and Statistics (Fa, Sp, Su) A calculus-based introduction to the foundations of probability and statistics. Emphasis is placed upon understanding elementary properties of probabilities, events, statistical densities and distributions, properties of random variables, law of large numbers, and their relationship to sampling and statistical inference. Prerequisite: MATH 2564.
3303 Social Statistics (Fa) An introduction to descriptive and inferential statistics with special emphasis on those techniques most commonly used in social research (Same as SOCI 3303.) Prerequisite: SOCI 2013.
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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