Credit points: 15

Subject outline

The purpose of STA4AS is to equip graduates with an in depth understanding of modern statistical methods in the following three key topics: 1. Sample surveys with an emphasis on simple random sampling and stratified random sampling. 2. Multivariate analysis with an emphasis on inference for the multivariate mean, checking for underlying multivariate normality, principal component analysis and discriminant analysis.This topic includes an introduction/review of common linear algebra results. 3. Time series analysis with an introduction into the theoretical foundation of Box-Jenkins univariate time series models which form a basis for empirical work with time series data. This subject is co-taught with STA3AS. However, independent research regarding some advanced proofs is required and assessed in STA4AS.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorPaul Kabaila

Available to Study Abroad StudentsYes

Subject year levelYear Level 4 - UG/Hons/1st Yr PG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites STA2MD or STM2PM or STA2MDA


Incompatible subjects STA3AS

Equivalent subjectsN/A

Special conditions This subject has been developed in accordance with the guidelines for an Inclusive Curriculum. Students will not be disadvantaged with respect to their culture, gender, socio-economic background or disability.


Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsApplied Multivariate AnalysisRecommendedJohnson, RA & Wichern, DW 20025TH ED. PRENTICE-HALL.
ReadingsApplied Statistics Unit TextRecommendedPaul Kabaila and Luke PrendergastAVAILABLE FROM THE BOOKSHOP
ReadingsMathematical Statistics and Data AnalysisRecommendedRice, JA 20073RD ED. DUXBURY.
ReadingsTime Series Analysis: Forecasting and ControlRecommendedBox, GEP & Jenkins, GM 1976HOLDEN-DAY
ReadingsApplied Statistics STA3AS/STA4ASPrescribedPaul Kabaila and Luke PrendergastLa Trobe University

Graduate capabilities & intended learning outcomes

01. Present clear, well structured proofs of important fundamental results in sample surveys, multivariate analysis and Box-Jenkins univariate time series analysis. This includes appropriate use of statistical and mathematical vocabulary and notation.

Weekly problem classes involve theoretical derivations of results introduced in lectures. 5 assignments consist of at least 50% assessed theoretical derivations.

02. Understand and use key sample survey, multivariate analysis and Box-jenkins univariate time series analysis tools including a justification of appropriate usage based on known model/data conditions

Appropriate usage of methodologies is discussed and modelled via examples in lectures. Weekly practice classes illustrate this usage.

03. Understand some methods of model checking in the context of multivariate analysis.

In the lectures and practice classes of the multivariate analysis section of the subject introduce some methods of model checking.

04. Present clear written commuincations of statistical results in a manner which can be understood by a scientist who fully understands the variables in the associated data set, but who has only a basic understanding of statistics.

Weekly practice classes in part involve students writing simple evidence based conclusions. Some assignments also partly require students to prepare such simple conclusions.

05. Independently formulate proofs for key theoretical results presented in the lectures.

Key theoretical results are presented in the lectures. Some of these results are only accompanied with, at most, a brief description as to how they may be proven. Within each assignment and problem class, STA4AS students will be required to formulate their own proofs of these results. This will involve referencing suitable sources either via the internet or through the library. Students can model their proofs on those provided for other key results that are presented in the lectures. This is a key point of difference with STA3AS.

Subject options

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Start date between: and    Key dates

Melbourne, 2018, Semester 2, Day


Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorPaul Kabaila

Class requirements

Lecture Week: 31 - 43
Three 1.0 hours lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Practical Week: 31 - 43
One 1.0 hours practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.


Assessment elementComments% ILO*
3-hour Final Examination70 01, 02, 04, 03
5 Assignments (approx. 240 words each)30 03, 04, 02, 05, 01