# Table 1: Statistics

Table 1 lists units of study available to students in the Bachelor of Science and combined degrees. The units are available to students enrolled in other degrees in accordance with their degree resolutions.

Unit of study Credit points A: Assumed knowledge P: Prerequisites C: Corequisites N: Prohibition Session

### Statistics

For a major in Statistics, the minimum requirement is 24 credit points from senior units of study listed below.
##### Intermediate units of study
STAT2011
Statistical Models
6    P (MATH1001 or MATH1901 or MATH1906 or MATH1011) and [MATH1005 or MATH1905 or MATH1015 or STAT1021 or ECMT1010]
N STAT2901, STAT2001, STAT2911
Semester 1
STAT2012
Statistical Tests
6    P MATH1005 or MATH1905 or MATH1015 or ECMT1010
N STAT2004, STAT2912
Semester 2
STAT2911
6    P (MATH1903 or MATH1907 or Credit in MATH1003) and (MATH1905 or MATH1904 or Credit in MATH1005 or Credit in ECMT1010)
N STAT2001, STAT2011, STAT2901
Semester 1
STAT2912
6    A STAT2911 or STAT2901
P MATH1905 or Credit in MATH1005 or Credit in ECMT1010
N STAT2004, STAT2012
Semester 2
##### Senior units of study
STAT3011
Stochastic Processes and Time Series
6    P (STAT2011 or STAT2911 or STAT2001 or STAT2901) and (MATH1003 or MATH1903 or MATH1907).
N STAT3911, STAT3003, STAT3903, STAT3005, STAT3905
Semester 1
STAT3012
Applied Linear Models
6    P (STAT2012 or STAT2912 or STAT2004) and (MATH1002 or MATH1014 or MATH1902)
N STAT3912, STAT3002, STAT3902, STAT3004, STAT3904
Semester 1
STAT3013
Statistical Inference
6    P (STAT2012 or STAT2912 or STAT2003 or STAT2903) and (STAT2011 or STAT2911)
N STAT3913, STAT3001, STAT3901
Semester 2
STAT3014
Applied Statistics
6    A STAT3012 or STAT3912
P STAT2012 or STAT2912 or STAT2004
N STAT3914, STAT3002, STAT3902, STAT3006
Semester 2
STAT3911
Stochastic Processes and Time Series Adv
6    P (STAT2911 or credit in STAT2011) and (MATH1003 or MATH1903 or MATH1907)
N STAT3011, STAT3003, STAT3903, STAT3005, STAT3905
Semester 1
STAT3912
6    P (STAT2912 or Credit in STAT2004 or Credit in STAT2012) and (MATH2061 or MATH2961 or MATH1902)
N STAT3012, STAT3002, STAT3902, STAT3004, STAT3904
Semester 1
STAT3913
6    P STAT2911 or STAT2903
N STAT3013, STAT3001, STAT3901

It is advisable to have also completed STAT2912
Semester 2
STAT3914
6    A STAT3912
P STAT2912 or credit or better in (STAT2004 or STAT2012).
N STAT3014, STAT3002, STAT3902, STAT3006, STAT3907
Semester 2
ENVX3002
Statistics in the Natural Sciences
6    P ENVX2001 or STAT2012 or STAT2912 or BIOL2022 or BIOL2922
Semester 1

### Statistics

For a major in Statistics, the minimum requirement is 24 credit points from senior units of study listed below.
##### Intermediate units of study
STAT2011 Statistical Models

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory week. Prerequisites: (MATH1001 or MATH1901 or MATH1906 or MATH1011) and [MATH1005 or MATH1905 or MATH1015 or STAT1021 or ECMT1010] Prohibitions: STAT2901, STAT2001, STAT2911 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
This unit provides an introduction to univariate techniques in data analysis and the most common statistical distributions that are used to model patterns of variability. Common discrete random models like the binomial, Poisson and geometric and continuous models including the normal and exponential will be studied. The method of moments and maximum likelihood techniques for fitting statistical distributions to data will be explored. The unit will have weekly computer classes where candidates will learn to use a statistical computing package to perform simulations and carry out computer intensive estimation techniques like the bootstrap method.
STAT2012 Statistical Tests

Credit points: 6 Session: Semester 2 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: MATH1005 or MATH1905 or MATH1015 or ECMT1010 Prohibitions: STAT2004, STAT2912 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B App Sc (Ex, S S & Nut), B App Sc (Ex &Sp Sc), B Sc (Nutr), B E, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
This unit provides an introduction to the standard methods of statistical analysis of data: Tests of hypotheses and confidence intervals, including t-tests, analysis of variance, regression - least squares and robust methods, power of tests, non-parametric tests, non-parametric smoothing, tests for count data, goodness of fit, contingency tables. Graphical methods and diagnostic methods are used throughout with all analyses discussed in the context of computation with real data using an interactive statistical package.
STAT2911 Probability and Statistical Models (Adv)

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: (MATH1903 or MATH1907 or Credit in MATH1003) and (MATH1905 or MATH1904 or Credit in MATH1005 or Credit in ECMT1010) Prohibitions: STAT2001, STAT2011, STAT2901 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Sc, UG Study Abroad Program.
This unit is essentially an advanced version of STAT2011, with an emphasis being on the mathematical techniques used to manipulate random variables and probability models. Common random variables including the Poisson, normal, beta and gamma families are introduced. Probability generating functions and convolution methods are used to understand the behaviour of sums of random variables. The method of moments and maximum likelihood techniques for fitting statistical distributions to data will be explored. The unit will have weekly computer classes where candidates will learn to use a statistical computing package to perform simulations and carry out computer intensive estimation techniques like the bootstrap method.

Credit points: 6 Session: Semester 2 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: MATH1905 or Credit in MATH1005 or Credit in ECMT1010 Prohibitions: STAT2004, STAT2012 Assumed knowledge: STAT2911 or STAT2901 Assessment: One 2-hour exam, assignments and/or quizzes, computer practical reports and one computer practical exam (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B E, B Med Sc, B Sc, UG Study Abroad Program.
This unit is essentially an advanced version of STAT2012 with an emphasis on both methods and the mathematical derivation of these methods: Tests of hypotheses and confidence intervals, including t-tests, analysis of variance, regression - least squares and robust methods, power of tests, non-parametric methods, non-parametric smoothing, tests for count data, goodness of fit, contingency tables. Graphical methods and diagnostic methods are used throughout with all analyses discussed in the context of computation with real data using an interactive statistical package.
##### Senior units of study
STAT3011 Stochastic Processes and Time Series

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lectures and one 1 hour tutorial per week; ten 1 hour computer laboratories per semester. Prerequisites: (STAT2011 or STAT2911 or STAT2001 or STAT2901) and (MATH1003 or MATH1903 or MATH1907). Prohibitions: STAT3911, STAT3003, STAT3903, STAT3005, STAT3905 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
Section I of this course will introduce the fundamental concepts of applied stochastic processes and Markov chains used in financial mathematics, mathematical statistics, applied mathematics and physics. Section II of the course establishes some methods of modeling and analysing situations which depend on time. Fitting ARMA models for certain time series are considered from both theoretical and practical points of view. Throughout the course we will use the S-PLUS (or R) statistical packages to give analyses and graphical displays.
STAT3012 Applied Linear Models

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratories per week. Prerequisites: (STAT2012 or STAT2912 or STAT2004) and (MATH1002 or MATH1014 or MATH1902) Prohibitions: STAT3912, STAT3002, STAT3902, STAT3004, STAT3904 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
This course will introduce the fundamental concepts of analysis of data from both observational studies and experimental designs using classical linear methods, together with concepts of collection of data and design of experiments. First we will consider linear models and regression methods with diagnostics for checking appropriateness of models. We will look briefly at robust regression methods here. Then we will consider the design and analysis of experiments considering notions of replication, randomization and ideas of factorial designs. Throughout the course we will use the R statistical package to give analyses and graphical displays.
STAT3013 Statistical Inference

Credit points: 6 Session: Semester 2 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: (STAT2012 or STAT2912 or STAT2003 or STAT2903) and (STAT2011 or STAT2911) Prohibitions: STAT3913, STAT3001, STAT3901 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
In this course we will study basic topics in modern statistical inference. This will include traditional concepts of mathematical statistics: likelihood estimation, method of moments, properties of estimators, exponential families, decision-theory approach to hypothesis testing, likelihood ratio test as well as more recent approaches such as Bayes estimation, Empirical Bayes and nonparametric estimation. During the computer classes (using R software package) we will illustrate the various estimation techniques and give an introduction to computationally intensive methods like Monte Carlo, Gibbs sampling and EM-algorithm.
STAT3014 Applied Statistics

Credit points: 6 Session: Semester 2 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: STAT2012 or STAT2912 or STAT2004 Prohibitions: STAT3914, STAT3002, STAT3902, STAT3006 Assumed knowledge: STAT3012 or STAT3912 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Res Ec, B Sc, UG Study Abroad Program.
This unit has three distinct but related components: Multivariate analysis; sampling and surveys; and generalised linear models. The first component deals with multivariate data covering simple data reduction techniques like principal components analysis and core multivariate tests including Hotelling's T^2, Mahalanobis' distance and Multivariate Analysis of Variance (MANOVA). The sampling section includes sampling without replacement, stratified sampling, ratio estimation, and cluster sampling. The final section looks at the analysis of categorical data via generalized linear models. Logistic regression and log-linear models will be looked at in some detail along with special techniques for analyzing discrete data with special structure.
STAT3911 Stochastic Processes and Time Series Adv

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lecture, one 1 hour tutorial per week, plus an extra 1 hour lecture per week on advanced material in the first half of the semester. Seven 1 hour computer laboratories (on time series) in the second half of the semester (one 1 hour class per week). Prerequisites: (STAT2911 or credit in STAT2011) and (MATH1003 or MATH1903 or MATH1907) Prohibitions: STAT3011, STAT3003, STAT3903, STAT3005, STAT3905 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Sc, UG Study Abroad Program.
This is an Advanced version of STAT3011. There will be 3 lectures in common with STAT3011. In addition to STAT3011 material, theory on branching processes and birth and death processes will be covered. There will be more advanced tutorial and assessment work associated with this unit.

Credit points: 6 Session: Semester 1 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: (STAT2912 or Credit in STAT2004 or Credit in STAT2012) and (MATH2061 or MATH2961 or MATH1902) Prohibitions: STAT3012, STAT3002, STAT3902, STAT3004, STAT3904 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Sc, UG Study Abroad Program.
This unit is essentially an Advanced version of STAT3012, with emphasis on the mathematical techniques underlying applied linear models together with proofs of distribution theory based on vector space methods. There will be 3 lectures per week in common with STAT3012 and some advanced material given in a separate advanced tutorial together with more advanced assessment work.

Credit points: 6 Session: Semester 2 Classes: Three 1 hour lectures, one 1 hour tutorial and one 1 hour computer laboratory per week. Prerequisites: STAT2911 or STAT2903 Prohibitions: STAT3013, STAT3001, STAT3901 Assessment: One 2 hour exam, assignments and/or quizzes, and computer practical reports (100%) Associated degrees: B A, B A (Adv)(Hons), B A (Adv)(Hons), M B B S, B Med Sc, B Sc, UG Study Abroad Program.
Note: It is advisable to have also completed STAT2912
This unit is essentially an Advanced version of STAT3013, with emphasis on the mathematical techniques underlying statistical inference together with proofs based on distribution theory. There will be 3 lectures per week in common with some material required only in this advanced course and some advanced material given in a separate advanced tutorial together with more advanced assessment work.