Courses Acceptable for Master’s Degree Program in Statistics

Refer to Graduate Bulletin

UPPER DIVISION COURSES

(NOTE: Statistics 550, 551A, and 551B are not acceptable on the Master of Science degree in Statistics.)
(NOTE: Proof of completion of prerequisites required for all upper division courses: Copy of transcript.)

510. Applied Regression Analysis (3) I
Prerequisite: Statistics 250 or comparable course in statistics.
Methods for simple and multiple regression models, model fitting, variable selection, diagnostic tools, model validation, and matrix forms for multiple regression. Applications of these methods will be illustrated with the SAS, SPSS, and/or S-Plus computer packages.

520. Applied Multivariate Analysis (3) II
Prerequisite: Stat 350A or comparable course in statistics.
Discussion of the multivariate normal distribution, multivariate analysis of variance, principal components, factor analysis, discriminant function analysis, classification, and clustering. Statistical packages will be adapted for data analysis.

550. Applied Probability (3) I, II, S
Prerequisite: Mathematics 151 and 254.
Computation of probabilities via enumeration and simulation, discrete and continuous distributions, moments of random variables. Markov chains, counting and queueing processes, and selected topics.

551A. Probability and Mathematical Statistics (3) I
Prerequisite: Mathematics 252.
Discrete and continuous random variables, probability mass functions and density functions, conditional probability and Bayes’ Theorem, moments, properties of expectation and variance, joint and marginal distributions, functions of random variables, moment generating functions. Special distributions and sampling distributions.

551B. Probability and Mathematical Statistics (3) II
Prerequisite: Statistics 551A.
Point and interval estimation and hypothesis testing in statistical models with applications to problems in various fields.

560. Sample Surveys (3) I
Prerequisite: Statistics 550 or 551A.
Methods for design and analysis of sample surveys with applications to social and biological sciences. Simple random sampling, stratification and clustering, ratio and regression estimators, subsampling, selected topics in survey methodology.

570. Stochastic Processes (3)
Prerequisite: Statistics 550 or 551A.
Introduction to stochastic processes with selected applications.

575. Actuarial Modeling (3) I
Prerequisite: Statistics 550 or 551A.
Actuarial models and applications of probability and statistics to insurance and other financial risks. Utility theory; risk models; compound processes; survival distributions and life tables; life insurance, annuities and benefits.

596. Advanced Topics in Statistics (1-4) I, II
Prerequisite: Consent of instructor.
Selected topics in statistics. May be repeated with the approval of the instructor. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses applicable to a bachelor’s degree. Maximum credit of six units of 596 applicable to a bachelor’s degree. Maximum combined credit of six units of 596 and
696 applicable to a 30-unit master’s degree.

GRADUATE COURSES

670A-670B. Advanced Mathematical Statistics (3-3)
Prerequisite: Statistics 550 or 551A. Statistics 670A is prerequisite to 670B.
Distributions of random variables, characteristics functions, limiting distributions, sampling distributions, hypothesis testing and estimation, optimality considerations, applications of the linear hypothesis, invariance and unbiasedness to analysis of variance and regression problems, sequential techniques, decision theory.

671. Statistical Computing (3)
Prerequisite: Statistics 551B or 670B.
Machine computation in the development, application, and evaluation of advanced statistical techniques. Floating point arithmetic and algorithm stability; numerical methods for parameter estimation (including maximum likelihood) and multivariate probability integration; Monte Carlo simulation and other computer-intensive statistical techniques.

672. Nonparametric Statistics (3)
Prerequisite: Statistics 551B or 670B.
Theory and application of commonly used distribution-free test statistics, including the sign test, Wilcoxon signed rank test, and Wilcoxon rank sum test, as well as the corresponding nonparametric point and interval estimators. Kruskal-Wallis and Friedman tests for one-way and two-way analysis of variance, multiple comparisons, dispersion and independence problems, nonparametric regression, and other selected topics.

676. Bayesian Statistics (3)
Prerequisite: Statistics 551B or 670B.
Bayes’ theorem; conjugate priors; likelihood principle; posterior probability intervals; Bayes factors; prior elicitation; reference priors; computational techniques; hierarchical models; empirical and approximate Bayesian inference; posterior sensitivity analysis; decision theory.

677. Design of Experiments (3)
Prerequisite: Statistics 550 or 551A.
Methods for design and analysis of experiments with applications to industry, agriculture, and medicine. Concepts of randomization, blocking, and replication. Incomplete block designs, fractional factorial experiments, response surface methods, selected topics.

678. Survival Analysis (3)
Prerequisite: Statistics 551B or 670B.
Survival distributions; inference in parametric survival models; life tables; proportional hazards model; time-dependent covariates; accelerated time model and inference based on ranks; multivariate time data and competing risks.

679. Analysis of Discrete Data (3)
Prerequisite: Statistics 551B or 670B.
Discrete sampling models; goodness-of-fit testing; methods for binary data with covariates, including logistic regression and probit analysis; loglinear modeling of multidimensional contingency tables; ordered categories; incomplete tables; Bayesian methods; hierarchical models.

680A-680B. Advanced Biostatistical Methods (3-3)
Prerequisite: Statistics 550 or 551A. Statistics 680A is prerequisite to 680B.
Design, conduct, and analysis of experimental and observational studies. Cohort studies. Multifactor screening. Survival studies. Case-control studies. Biological assays. Selected current topics.

696. Selected Topics in Statistics (3)
Prerequisite: Graduate Standing.
Intensive study in specific areas of statistics. May be repeated with new content. See Class Schedule for specific content. Maximum combined credit of six units of 596 and 696 applicable to a 30-unit master’s degree.

700. Data Analysis Methods (3)
Prerequisite: Statistics 510 and 551B or 670B.
Computationally intensive data analysis techniques including random and mixed effect models, repeated measures and longitudinal data analysis, generalized linear models, nonlinear models, and multilevel models.

701. Monte Carlo Statistical Methods (3)
Prerequisite: Statisitics 550B or 670B.
Monte Carlo and simulation intensive methods for development and application of statistical methods such as Monte Carlo and Marko chain Monte Carlo algorithms and inferential procedures; stochastic optimization, EM algorithm, and variants for parameter estimation, importance sampling, variance reduction techniques.

702. Data Mining Statistical Methods (3)
Prerequisite: Statistics 551B or 670B.
Concepts and alogorithms of data mining techniqes such as decision trees and rules for classification and regression, clustering, and association analysis.

720. Seminar (1-3)
Prerequisite: Consent of instructor.
An intensive study in advanced statistics. May be repeated with new content. See Class Schedule for specific content. Maximum credit six units applicable to a master’s degree.

790. Practicum in Teaching of Statistics (1) Cr/NC
Prerequisite: Award of graduate teaching associateship in statistics.
Supervision in teaching statistics. Lecture writing, style of lecture presentation and alternatives, test and syllabus construction, and grading system. Not applicable to an advanced degree. Required for first semester GTA’s. Maximum credit four units applicable to a master’s degree.

795. Practicum in Statisitical Consulting (1-2) Cr/NC
Prerequisite: Statistics 670B.
Statistical communication and problem solving. Short-term consulting to campus clients in design and analysis of experiments, surveys, and observational studies. Heuristics for effective problem indentification, client interactions, oral and written presentations. Maximum credit three units appplicable to a master’s degree.

797. Research (1-3) Cr/NC/RP
Prerequisite: Six units of graduate level statistics.
Research in one of the fields of statistics. Maximum credit six units
applicable to a master’s degree.

798. Special Study (1-3) Cr/NC/RP
Prerequisite: Consent of staff; to be arranged with department chair and instructor.
Individual study. Maximum credit six units applicable to a master’s degree.

799A. Thesis or Project (3) Cr/NC/RP
Prerequisites: An officially appointed thesis committee and advancement to candidacy.
Preparation of a project or thesis for the master’s degree.

799B. Thesis Extension (0) Cr/NC
Prerequisite: Prior registration in Thesis 799A with an assigned grade symbol of RP.
Registration required in any semester or term following assignment of RP in Course 799A in which the student expects to use the facilities and resources of the university; also student must be registered in the course when the completed thesis is granted final approval.

799C. Comprehensive Examination Extension (0) Cr/NC
Prerequisite: Completion or concurrent enrollment in degree program courses.
Registration required of students whose only requirement is completion of the comprehensive examination for the master’s degree. Registration in 799C limited to two semesters.