# Appendix A - Courses

## Statistics

STAT*6550 Computational Statistics U [0.50] | |
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This course covers the implementation of a variety of computational statistics techniques. These include random number generation, Monte Carlo methods, non-parametric techniques, Markov chain Monte Carlo methods, and the EM algorithm. A significant component of this course is the implementation of techniques. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6700 Stochastic Processes U [0.50] | |
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The content of this course is to introduce Brownian motion leading to the development of stochastic integrals thus providing a stochastic calculus. The content of this course will be delivered using concepts from measure theory and so familiarity with measures, measurable spaces, etc., will be assumed. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6721 Stochastic Modelling U [0.50] | |
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Topics include the Poisson process, renewal theory, Markov chains, Martingales, random walks, Brownian motion and other Markov processes. Methods will be applied to a variety of subject matter areas. Offered in conjunction with STAT*4360. Extra work is required for graduate students. | |

Restriction(s): | Credit may be obtained for only one of STAT*4360 or STAT*6721 |

Department(s): | Department of Mathematics and Statistics |

STAT*6741 Statistical Analysis for Reliability and Life Testing U [0.50] | |
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Statistical failure models, order statistics, point and interval estimation procedures for life time distributions, testing reliability hypotheses, Bayes methods in reliability, system reliability. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6761 Survival Analysis U [0.50] | |
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Kaplan-Meier estimation, life-table methods, the analysis of censored data, survival and hazard functions, a comparison of parametric and semi-parametric methods, longitudinal data analysis. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6801 Statistical Learning U [0.50] | |
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Topics include: nonparametric and semiparametric regression; kernel methods; regression splines; local polynomial models; generalized additive models; classification and regression trees; neural networks. This course deals with both the methodology and its application with appropriate software. Areas of application include biology, economics, engineering and medicine. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6802 Generalized Linear Models and Extensions U [0.50] | |
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Topics include: generalized linear models; generalized linear mixed models; joint modelling of mean and dispersion; generalized estimating equations; modelling longitudinal categorical data; modelling clustered data. This course will focus both on theory and implementation using relevant statistical software. Offered in conjunction with STAT*4050/4060. Extra work is required for graduate students. | |

Restriction(s): | Credit may be obtained for only one of STAT*4050 or STAT*4060 or STAT*6802 |

Department(s): | Department of Mathematics and Statistics |

STAT*6821 Multivariate Analysis U [0.50] | |
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This is an advanced course in multivariate analysis and one of the primary emphases will be on the derivation of some of the fundamental classical results of multivariate analysis. In addition, topics that are more current to the field will also be discussed such as: multivariate adaptive regression splines; projection pursuit regression; and wavelets. Offered in conjunction with STAT*4350. Extra work is required for graduate students. | |

Restriction(s): | Credit may be obtained for only one of STAT*4350 or STAT*6821 |

Department(s): | Department of Mathematics and Statistics |

STAT*6841 Computational Statistical Inference U [0.50] | |
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This course covers Bayesian and likelihood methods, large sample theory, nuisance parameters, profile, conditional and marginal likelihoods, EM algorithms and other optimization methods, estimating functions, Monte Carlo methods for exploring posterior distributions and likelihoods, data augmentation, importance sampling and MCMC methods. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6850 Advanced Biometry U [0.50] | |
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Topics on advanced techniques for analyzing data from biological systems. In particular, univariate discrete models, stochastic processes as it relates to population dynamics and growth models with time dependencies, generalized discrete models for spatial patterns in wildlife, the theoretical foundation and recent results in aquatic bioassays, and other topics relating to the student's research interest. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6860 Linear Statistical Models U [0.50] | |
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Generalized inverses of matrices; distribution of quadratic and linear forms; regression or full rank model; models not of full rank; hypothesis testing and estimation for full and non-full rank cases; estimability and testability; reduction sums of squares; balanced and unbalanced data; mixed models; components of variance. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6870 Experimental Design U [0.50] | |
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This is an advanced course in experimental design which emphasizes proofs of some of the fundamental results in the topic. The topics will include: design principles; design linear models; designs with several factors; confounding in symmetrical factorials; fractional factorials. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6880 Sampling Theory U [0.50] | |
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Theory of equal and unequal probability sampling. Topics in: simple random, systematic, and stratified sampling; ratio and regression estimates; cluster sampling and subsampling; double sampling procedure and repetitive surveys; nonsampling errors. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6920 Topics in Statistics U [0.50] | |
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Department(s): | Department of Mathematics and Statistics |

STAT*6950 Statistical Methods for the Life Sciences F [0.50] | |
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Analysis of variance, completely randomized, randomized complete block and latin square designs; planned and unplanned treatment comparisons; random and fixed effects; factorial treatment arrangements; simple and multiple linear regression; analysis of covariance with emphasis on the life sciences. STAT*6950 and STAT*6960 are intended for graduate students of other departments and may not normally be taken for credit by mathematics and statistics graduate students. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6970 Statistical Consulting Internship U [0.25] | |
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This course provides experience in statistical consulting in a laboratory and seminar environment. The student will participate in providing statistical advice and/or statistical analyses and participate in seminar discussions of problems arising from research projects in various disciplines. | |

Department(s): | Department of Mathematics and Statistics |

STAT*6990 Statistics Seminars by Graduate Students U [0.00] | |
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Department(s): | Department of Mathematics and Statistics |

STAT*6998 MSc Project in Statistics U [1.00] | |
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This course is intended for students in the course-based MSc program in Statistics. The MSc project will be written under the supervision of a faculty member and will normally be completed within one or two semesters. Once completed, students will submit a final copy of their project to the Department and give an oral presentation of their work | |

Restriction(s): | Restricted to MSC.MAST:L-STAT students in Statistics |

Department(s): | Department of Mathematics and Statistics |