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STATISTICS STAT 200s STAT 202 LEC,TUT 0.50 Course ID: 008859 Introductory Statistics for Scientists Elementary probability, populations, samples and distributions with biological examples. Methods for data summary and presentation. Estimation, hypothesis testing, two−sample techniques and paired comparisons, regression, correlation. [Offered: F,W] Prereq: Science students only. Antireq: STAT 204, 220; (for Arts and Environmental Studies students) ARTS 280, BIOL 460, ECON 221, ENVS 271, 277, 278, ISS 250A/B, 250R, KIN 222, PSCI 214, PSYCH 292, REC 371, 371A, SOC 280,STAT 204,206,211,221,231,241 STAT 206 LEC,TUT 0.50 Course ID: 010128 Statistics for Software Engineering Empirical problem solving in software engineering. Measures of software reliability, maintainability and performance. Variation in software performance. Modelling structure and variation. Confidence intervals and hypothesis tests. Comparative studies and regression models. [Offered: F] Prereq: MATH 115, 138; Software Engineering students only. Antireq: (for Arts and ENVS students)ARTS 280, BIOL 460, ECON 221, ENVS 271, 277, 278, ISS 250A/250B, 250R, KIN 222, PSCI 214, PSYCH 292, REC 371, 371A, SOC 280, STAT 202, 204, 211, 221, 231, 241 STAT 211 LEC,TUT 0.50 Course ID: 008861 Introductory Statistics and Sampling for Accounting Descriptive statistics, probability, discrete and continuous random variables. Sampling distributions and simple hypothesis testing. Introduction to survey sampling. [Offered: F] Prereq: MATH 109; Arts/Acc and SciBiotech/CA students only. Antireq: (for Arts and Env Studies students only) BIOL 460,ECON 221,ENVS 271,277,278,ISS 250A/B,250R,KIN 222,PSCI 214,PSYCH 292,REC 371,371A,SOC 280,STAT 202,204,206,221,231,241 STAT 220 LEC,TST,TUT 0.50 Course ID: 008862 Introduction to Statistical Methods 1 What is Statistics? Introduction to measurement. Pictorial and tabular methods. Numerical data summaries. Continuous distributions. Normal and exponential distributions. Behaviour of sample averages. Counting arguments. Discrete probability. Binomial and hypergeometric distributions. Sample surveys. Relationships. [Offered: F] Prereq: MATH 107 or 117 or 127 or 137/147; Not open to Honours Mathematics students. Antireq: STAT 230/240 Also offered by Distance Education STAT 221 LEC,TST,TUT 0.50 Course ID: 008863 Introduction to Statistical Methods 2 Geometric, negative binomial and Poisson distributions. Industrial problem solving using statistical methods. Tests of significance. Linear regression. [Offered: W] Prereq: STAT 220; Not open to Hons Math students. Antireq: STAT 231/241; (for Arts &ENVS students) ARTS 280, BIOL 460, ECON 221, ENVS 271, 277, 278, ISS 250A/B, 250R, KIN 222, PSCI 214, PSYCH 292, REC 371, 371A, SOC 280, STAT 202, 204, 206,211,231, 241 Also offered by Distance Education STAT 230 LEC,TST,TUT 0.50 Course ID: 008864 Probability The laws of probability, discrete and continuous random variables, expectation, central limit theorem. [Note: STAT 230 is normally taken in second year. Students with an average of at least 80% in Honours Mathematics courses in 1A may enrol in STAT 230 in 1B. Offered at St. Jerome's University in the Fall term. Offered: F,W,S] Prereq: MATH 137/147; Honours Mathematics or Mathematical Physics students only. Coreq: MATH 138/148. Antireq: STAT 220, 240 Also offered at St. Jerome's University STAT 231 LEC,TST 0.50 Course ID: 008865 Statistics Empirical problem solving, measurement systems, causal relationships, statistical models, estimation, confidence intervals, tests of significance. [Note: Offered at St. Jerome's University in the Winter term. Offered: F,W,S] Prereq: MATH 138/148 &STAT 230/240; Hon Math or Math Phys Antireq: STAT 221,241;(for Arts &ENVS students) ARTS 280,BIOL 460,ECON 221, ENVS 271,277,278,ISS 250A/B,250R,KIN 222,PSCI 214, PSYCH 292,REC 371,371A,SOC 280,STAT 202,204,206,211, 221,241 Also offered at St. Jerome's University STAT 240 LEC,TST 0.50 Course ID: 008866 Probability (Advanced Level) STAT 240 is an advanced−level enriched version of STAT 230. [Note: STAT 240 is normally taken in second year. Students with an average of at least 80% in Honours Mathematics courses in 1A may enrol in STAT 240 in 1B. Students with a cumulative math average of at least 80% are encouraged to register in STAT 240. Offered: W] Prereq: MATH 137/147; Honours Mathematics students only. Coreq: MATH 138/148. Antireq: STAT 220, 230 STAT 241 LEC,TST,TUT 0.50 Course ID: 008867 Statistics (Advanced Level) STAT 241 is an advanced−level enriched version of STAT 231. [Note: Students with a cumulative math average of at least 80% are encouraged to register in STAT 241. Offered: F] Prereq: MATH 138/148 and STAT 230/240; Hon Math only. Antireq: STAT 221, 231; (for Arts &ENVSstudents)ARTS 280, BIOL 460, ECON 221, ENVS 271,277,278, ISS 250A/B,250R, KIN 222, PSCI 214, PSYCH 292, REC 371, 371A, SOC 280, STAT 202, 204, 206, 211, 221 STAT 300s STAT 316 LAB,LEC 0.50 Course ID: 004384 Introduction to Statistical Problem Solving by Computer This is an applications oriented course which prepares the nonmathematical student to use the computer as a research tool. Topics include aids for statistical analysis and the preparation of documents such as reports and theses. The course provides sufficient background for application to other problems specific to the individual's field. [Note: Lab is not scheduled and students are expected to find time in open hours to complete their work. Offered: W] Prereq: One of ECON 221, ENVS 278, ISS 250R, KIN 222, PSCI 214, PSYCH 292, REC 371, SOC 280, any STAT course; Not open to Honours Mathematics students. Antireq: STAT 304, 324, 331, 361, 371 STAT 322 LEC,TUT 0.50 Course ID: 008871 Sample Surveys and Study Design Planning sample surveys; simple random sampling; stratified sampling. Observational and experimental studies. Blocking, randomization, factorial designs. Analysis of variance. Applications of design principles. [Offered: F] Prereq: STAT 221 or 231/241; Not open to Honours Mathematics students. Antireq: STAT 332, 362; (for Arts and Environmental Studies students) BIOL 461, PSYCH 391, STAT 430 STAT 324 LAB,LEC 0.50 Course ID: 011041 Statistical Methods and Computing Statistical reporting using a software package for statistical calculations; numerical and graphical summaries, contingency tables, significance tests and confidence intervals; regression methods; analysis of data from comparative studies. [Offered: W] Prereq: One of ARTS 280, ECON 221, ENVS 278, ISS 250R, KIN 222, PSCI 214, PSYCH 292, REC 371, SOC 280, STAT 202, 221, 231/241; Not open to Honours Mathematics students. Antireq: CS/STAT 316, STAT 304, 331, 361, 371 STAT 330 LEC,TUT 0.50 Course ID: 008872 Mathematical Statistics Maximum likelihood estimation. Random variables and distribution theory. Generating functions. Functions of random variables. Limiting distributions. Large sample theory of likelihood methods. Likelihood ratio tests. [Note: Offered at St. Jerome's University in the Fall term. Offered: F,W,S] Prereq: MATH 237/247, STAT 231/241; Not open to General Mathematics students. Antireq: STAT 334 STAT 331 LAB,LEC,TUT 0.50 Course ID: 008873 Applied Linear Models Modeling the relationship between a response variable and several explanatory variables (an output−input system) via regression models. Least squares algorithm for estimation of parameters. Hypothesis testing and prediction. Model diagnostics and improvement. Algorithms for variable selection. Nonlinear regression and other methods. [Offered: F,W,S] Prereq: MATH 235/245, (STAT 231/241 or SYDE 214). Antireq: ECON 321, STAT 304, 311, 324, 361, 371, 373, SYDE 334 STAT 332 LEC,TUT 0.50 Course ID: 008874 Sampling and Experimental Design Designing sample surveys. Probability sampling designs. Estimation with elementary designs. Observational and experimental studies. Blocking, randomization, factorial designs. Analysis of variance. Designing for comparison of groups. [Offered: F,S] Prereq: STAT 231/241 or SYDE 214; Not open to General Mathematics students. Antireq: STAT 322, 362, 371 STAT 333 LEC,TUT 0.50 Course ID: 008875 Applied Probability Review of basic probability. Generating functions. Theory of recurrent events. Markov chains, Markov processes, and their applications. [Offered: F,W,S] Prereq: STAT 230/240 or SYDE 213; Level at least 3A; Not open to General Mathematics students. Antireq: STAT 334 STAT 334 LEC,TUT 0.50 Course ID: 012662 Probability Models for Business and Accounting Random variables and distribution theory, conditional expectations, moment and probability generating functions, change of variables, random walks, Markov chains, Markov processes. [Offered F,S] Prereq: MATH 237/247, STAT 231/241; Business/Math double degree, Mathematics/Accounting or Math/Business students only. Antireq: STAT 330, 333 STAT 340 LAB,LEC 0.50 Course ID: 004408 Computer Simulation of Complex Systems Building and validation of stochastic simulation models useful in computing, operations research, engineering and science. Related design and estimation problems. Variance reduction. The implementation and analysis of simulation results. [Offered: W,S] Prereq: (One of CS 126/124, 116, 134, 136, 138, 145, SYDE 221/322) and (STAT 231/241 or SYDE 214); Not open to Computer Science or General Mathematics students. Antireq: CM 361/STAT 341, CS 457 (Cross−listed with CS 437) STAT 341 LAB,LEC 0.50 Course ID: 011431 Computational Statistics and Data Analysis Approximation and optimization of noisy functions. Simulation from univariate and multivariate distributions, multivariate normal distribution, mixture distributions and introduction to Markov Monte Carlo. Introduction to supervised statistical learning including discrimination methods. [Offered: F,S] Prereq: MATH 237/247, STAT 231/241; Not open to General Mathematics students. Antireq: CS 437/STAT 340 (Cross−listed with CM 361) STAT 361 LAB,LEC,TUT 0.50 Course ID: 008878 Applied Linear Models for Business and Accounting Practical and theoretical aspects of simple and multiple regression models. Model fitting and testing. Model building. Analysis of variance. Applications to problems in business and accounting. [Offered: F,S] Prereq: MATH 235/245 and STAT 231/241; Math/Business, Business/Math double degree or Math/Accounting students only. Antireq: ECON 321, STAT 304, 311 324, 331, 371, 373 STAT 362 LEC,TUT 0.50 Course ID: 011043 Sampling and Design Techniques for Business and Accounting Design of economic, business and social surveys. Elementary probability sampling designs and estimation. Observational and experimental studies. Principles of design of experiments. Application to problems in business and accounting. [Offered: F] Prereq: STAT 231/241; Math/Business, Business/Math double degree or Math/Accounting students only. Antireq: STAT 322, 332, 371 STAT 371 LEC,TUT 0.50 Course ID: 011723 Statistics for Business 1 Applications of regression models to business problems; model building, fitting and assessment. Applications of sample surveys to business; design and analysis of surveys; management of sample and non−sample error. [Offered: F,S] Prereq: MATH 235/245, STAT 231/241; Business/Math double degree or Math/Accounting or Math/Business students only. Antireq: ECON 321, STAT 331, 332, 361, 362, 373 STAT 372 LEC,TUT 0.50 Course ID: 011724 Statistics for Business 2 Analysis of time series data in business; adjustment and over−adjustment; forecasting using simple models. Process thinking and improvement; design and analysis of process investigations. [Offered: F,W] Prereq: STAT 371; Business/Math double degree or Math/Accounting or Math/Business students only. Antireq: STAT 373 STAT 373 LEC,TUT 0.50 Course ID: 012225 Regression and Forecasting Methods in Finance Application of regression and time series models in finance; multiple regression; algebraic and geometric representation of least squares; inference methods − confidence intervals and hypothesis tests, ANOVA, prediction; model building and assessment; time series modeling; autoregressive AR(1) models − fitting, assessment and prediction; moving average smoothing, seasonal adjustment; non−stationarity and differencing. [Offered: F] Prereq: STAT 231/241; Computing &Financial Management students and Mathematics/Accounting students who began F06 or later. Antireq: STAT 331, 361, 371, 372, 443 STAT 400s STAT 430 LEC,TUT 0.50 Course ID: 008880 Experimental Design Review of experimental designs in a regression setting; analysis of variance; replication, balance, blocking, randomization, and interaction; one−way layout, two−way layout, and Latin square as special cases; factorial structure of treatments; covariates; treatment contrasts; two−level fractional factorial designs; fixed versus random effects; split−plot and repeated−measures designs; other topics. [Offered: F,S] Prereq: STAT 372 or ((one of STAT 331, 361) and (one of STAT 332, 362)); Not open to General Mathematics students. Antireq: (for Arts and Environmental Studies students) BIOL 461, PSYCH 391, STAT 322 STAT 431 LEC 0.50 Course ID: 008881 Generalized Linear Models and their Applications Review of the normal linear model and maximum likelihood estimation; regression models for binomial, Poisson and multinomial data; generalized linear models; and other topics in regression modelling. [Offered: F] Prereq: STAT 330, (331 or 371); Not open to General Mathematics students STAT 433 LEC 0.50 Course ID: 008882 Stochastic Processes Point processes. Renewal theory. Stationary processes. Selected topics. [Offered: F] Prereq: STAT 333; Not open to General Mathematics students STAT 435 LEC,TUT 0.50 Course ID: 011042 Statistical Methods for Process Improvements Statistical methods for improving processes based on observational data. Assessment of measurement systems. Strategies for variation reduction. Process monitoring, control and adjustment. Clue generation techniques for determining the sources of variability. Variation transmission. [Offered: W] Prereq: STAT 332 or 362 or 372; Not open to General Mathematics students STAT 440 LEC 0.50 Course ID: 008883 Computational Inference Introduction to and application of computational methods in statistical inference. Monte Carlo evaluation of statistical procedures, exploration of the likelihood function through graphical and optimization techniques including EM. Bootstrapping, Markov Chain Monte Carlo, and other computationally intensive methods. [Offered: W] Prereq: CM 361/STAT 341 or CS 437/STAT 340; Not open to General Mathematics students (Cross−listed with CM 461) STAT 441 LEC 0.50 Course ID: 008884 Statistical Learning − Classification Given known group membership, methods which learn from data how to classify objects into the groups are treated. Review of likelihood and posterior based discrimination. Main topics include logistic regression, neural networks, tree−based methods and nearest neighbour methods. Model assessment, training and tuning. [Offered: F] Prereq: CM 361/STAT 341 or (STAT 330 and 340); Not open to General Mathematics students (Cross−listed with CM 463) STAT 442 LAB,LEC 0.50 Course ID: 011434 Data Visualization Visualization of high dimensional data including interactive methods directed at exploration and assessment of structure and dependencies in data. Methods for finding groups in data including traditional and modern methods of cluster analysis. Dimension reduction methods including multi−dimensional scaling, nonlinear and other methods. [Offered: F] Prereq: STAT 231/241; Not open to General Mathematics students (Cross−listed with CM 462) STAT 443 LEC,TUT 0.50 Course ID: 008885 Forecasting Model building. Multiple regression and forecasting. Exponential smoothing. Box−Jenkins models. Smoothing of seasonal data. [Offered: F,W,S] Prereq: STAT 331 or 361 or 371 or SYDE 334; Not open to General Mathematics students. Antireq: STAT 373 STAT 444 LAB,LEC 0.50 Course ID: 011436 Statistical Learning − Function Estimation Methods for finding surfaces in high dimensions from incomplete or noisy functional information. Both data adaptive and methods based on fixed parametric structure will be treated. Model assessment, training and tuning. [Offered: W] Prereq: CM 361/STAT 341 or STAT 331 or 361 or 371; Not open to General Mathematics students (Cross−listed with CM 464) STAT 446 LEC,TUT 0.50 Course ID: 003305 Mathematical Models in Finance Mathematical techniques used to price and hedge derivative securities in modern finance. Modelling, analysis and computations for financial derivative products, including exotic options and swaps in all asset classes. Applications of derivatives in practice. [Offered: F,W] Prereq: (AFM 372/ACTSC 391 or (ACTSC 231 and 371) or (ACTSC 231 and BUS 393W)), (STAT 333 or 334); Not open to General Mathematics students. Antireq: BUS 423W, ECON 372 (Cross−listed with ACTSC 446) STAT 450 LEC,TUT 0.50 Course ID: 008888 Estimation and Hypothesis Testing Discussion of inference problems under the headings of hypothesis testing and point and interval estimation. Frequentist and Bayesian approaches to inference. Construction and evaluation of tests and estimators. Large sample theory of point estimation. [Offered: W] Prereq: STAT 330; Not open to General Mathematics students STAT 454 LEC 0.50 Course ID: 008890 Sampling Theory and Practice Sources of survey error. Probability sampling designs, estimation and efficiency comparisons. Distribution theory and confidence intervals. Generalized regression estimation. Software for survey analysis. [Offered: W] Prereq: STAT 332 or 362 or 371; Not open to General Mathematics students STAT 464 LEC 0.50 Topics in Probability Theory Prereq: STAT 333; Not open to General Mathematics students Course ID: 008891 STAT 466 LEC 0.50 Course ID: 008892 Topics in Statistics 1 Prereq: STAT 330, 331; Not open to General Mathematics students STAT 467 LEC 0.50 Course ID: 008893 Topics in Statistics 2 Prereq: Not open to General Mathematics students STAT 468 RDG 0.50 Course ID: 008894 Readings in Statistics 1 Prereq: Not open to General Mathematics students STAT 469 RDG 0.50 Readings in Statistics 2 Prereq: Not open to General Mathematics students Course ID: 010728