Statistics Graduate Courses

For more information regarding graduate courses offered by the Department of Math and Statistics, please contact a program assistant.

Course NumberCourse NameDescriptionCredit Hours
STAT5293* Applied Statistics Introduction to the use of statistical computer packages as a tool for analysing data. Brief review of basic statistics. Topics chosen from analysis of variance and covariance, regression, multivariate methods, analysis of categorical data, non-parametric methods. Concentration on the use of one of MINITAB, SAS, SPSS, BMDP, with reference to the other packages. Each student must complete a statistical analysis and report on a data-set taken from the student's discipline. 3 ch
STAT5473 Experimental Design and Data Analysis in Biology and Forestry An introduction to the practice and pitfalls of experimental design and data analysis in biology and forestry. Topics will be selected from sampling designs, experimental designs, parametric and non-parametric analysis, power analysis, and regression. The course will include discussion of examples in the literature. Students will analyse and interpret data sets arising from their field of research. (This course may not be taken for credit by graduate students in Mathematics & Statistics degree programs).   3 ch
STAT6043 Sample Survey Theory I Simple random sampling; stratified sampling; systematic sampling; multi-stage sampling; double sampling; ratio and regression estimates; sources of error in surveys. 3 ch
STAT6053 Regression Analysis Likelihood ratio tests; distribution of quadratic forms, noncentral chi square, noncentral F; independence of quadratic forms; linear models, model classification; general linear hypothesis of full rank, Gauss-Markov theorem, normal equations, tests of hypotheses; polynomial models; orthogonal polynomials; regression models; experimental design models; estimable functions. 3 ch
STAT6073 Non-parametric Statistics I Sign test; Mann-Whitney test; Wilcoxon's Signed Rank test; Rank correlation, Goodness-of-fit tests; 1 x 2, 1 x k, 2 x 2, r x c Contingency Tables, m Rankings, Friedman Index, Order Statistics. 3 ch
STAT6083 Introduction to Multivariate Statistics Multivariate normal distribution; estimation of the mean vector and covariance matrix; partial and multiple correlation coefficients; multiple regression; the T2 statistics; tests of hypotheses; discriminant analysis; principal components; factor analysis. 3 ch
STAT6211 Mathematical Statistics Distribution functions; mean values and moments of random variables; sequences of random variables; characteristic functions and generating functions; special distributions; sampling theory; statistical parametric estimation; testing parametric statistical hypotheses. 3 ch
STAT6212 Sample Survey Theory II Review of fundamental survey sampling; simple random sampling, stratified sampling, systematic sampling. Cluster sampling and subsampling; unequal clusters; control of subsampel size. Optimum designs. Area sampling. Multistage sampling; sampling from imperfest framses; selection techniques. Bias and response errors. 3 ch
STAT6221 Sequential Analysis Fixed sample and sequential tests. Sequential probability ratio test. Efficiency of the sequential probability ratio test. Sequential procedures in life testing and Poisson process. Analysis of variance and non-parametric methods. 3 ch
STAT6222 Linear Models Brief review of generalized inverse matrices; distribution of quadratic forms. Full rank models; models not of full rank, estimable functions, testable hypothesis; classification models; variance components. 3 ch
STAT6251 Stochastic Process II Brief review of discrete time processes, random walks and Markov Chains.Martingales, stationary processes and ergodicity, Markov processes,Browian motion, boundaries. Diffusion processes. 3 ch
STAT6262 Stochastic Models in Reliability  3ch
STAT6291 Statistical Interference 3 ch
STAT6323 Dynamic Programming Deterministic and probabilistic dynamic programming. Markovian decision models. Applications of dynamic programming technique in replacement policies and multiperiod dynamic inventory models. 3 ch
STAT6333 Queueing Theory Introduction, queueing models. Single and multiserver queueing models. Analysis of queueing models using differential difference equation, generating functions, distribution of busy periods. Transient behaviour, introduction to bulk queueing and other queueing models. 3 ch
STAT6372 Non-parametric Statistics II Methods of non-parametric statistics, order statistics, critical points, tolerance regions, and their applications; use of incomplete Beta function, Kolmogorov-Smirnov statistics and the Cramer statistics. 3 ch
STAT6383 Stochastic Processes I Exact contents may vary from year to year, e.g.: counting processes and Poisson processes; renewal processes (discrete); finite state Markov chains; stationary covariance processes. 3 ch
STAT6392 Seminar in Statistics and Operations Research Students in this course will review the literature in one or more areas of statistics or O.R. and present a minimum of four but not more than six seminars throughout the year. cr
STAT6402 Multivariate Statistical Analysis 3 ch
STAT6433 Statistical Computing Discusses both methods of programming statistical problems for the computer and use of already programed statistical packages with emphasis on the former. The statistical reason for wanting to make the computations and the statistical interpretation of the results is not stressed. Particular topics will be drawn from regression, analysis of variance, data management, tail probabilities of common distributions, nonparametric statistics. 3 ch
STAT6443 Time Series Analysis and Applications Discrete time series and stochastic processes; autocorrelation and partial correlation functions; white noise; moving averages; autoregressive, mixed and integrated processes; stochastic models, fitting, estimation and diagnostic checkup; forecasting; forecasting in seasonal time series; applications would include problems from Economics, Engineering, Physics. 3 ch
STAT6473 Experimental Design Randomization, one and two way classifications. Latin squares, factorial experiments, nesting, incomplete blocks, linear regression. Emphasis on applications. Extensive use of a statistical computer package. 3 ch
STAT6492 Advanced Seminar in Statistics Students in the PhD program will review the literature in one or more areas of pure or applied mathematics and present a minimum of four but not more than six seminars throughout the year. cr
STAT6801 Advanced Topics in Statistics I Topics to be chosen by instructor with approval of MATH/STAT department.
STAT6812 Advanced Topics in Statistics II A continuation of topics offered in STAT 6801 .
STAT6891 Reading Course Reading courses on advanced topics may be taken for graduate credit subject to departmental approval. 3 ch
STAT6892 Reading Course Reading courses on advanced topics may be taken for graduate credit subject to departmental approval. 3 ch
STAT6903 Independent Study in Statistics Advanced topic in Statistics to be chosen jointly by student, advisor, and Math/Stat graduate committee. May be taken for credit more than once. Title of topic chosen will appear on transcript. 3 ch
STAT6996 Master's Report cr
STAT6997 Master's Thesis cr
STAT6998 PhD Thesis cr