STAT3063 Spatial Statistics and Modelling

Credit
6 points
Offering
(see Timetable)
AvailabilityLocationMode
Semester 2UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 3 elective
Content
Spatial data, information collected from spatial locations, demands high-level statistical methodology to explore, investigate and make scientific conclusions. Such data arises in a wide range of applied fields such as aerial image processing, astronomy, ecology, engineering, environmental sciences, epidemiology, forestry, mineral prospecting, spatial economics and transportation. Spatial dtatistics, the statistical basis for spatial data science, encompasses statistical analysis of three different types of spatial data: geostatistical data, lattice data and point pattern data. Modeling of these different types of data requires different probabilistic and statistical tools.

This unit begins with a basic introduction to the three types of spatial data and develops some of the statistical tools required to describe and model such data. Then it moves on to in-depth study of a number of topics from the list: spatial stochastic processes, one and higher dimensional point processes, random fields, spatial covariance, variograms, stationarity and non-stationarity, kriging and spatial interpolation, first- and second-order intensity functions, summary functions, spatial models and estimation theory, simulation, spatial regression, spatio-temporal modeling, Bayesian methods in spatial statistics, and analysis of events on linear networks.

The unit will cover real world examples from many different fields. For statistical analysis and simulation the freeware package R will be used.
Outcomes
Students are able to (1) distinguish between three different types of spatial data and apply basic statistical tools required conducting inference from such data; (2) demonstrate skill in the use of some of the measures of dependence in spatial processes in analysing and modeling spatial data; (3) demonstrate in-depth knowledge in some of the important topics in spatial statistics; (4) demonstrate knowledge in determining spatial model for some of the spatial data; (5) show skill in simulating some of spatial model using the package R; and (6) demonstrate basic skill in using R for summarising and analysing spatial data.
Assessment
Indicative assessments in this unit are as follows: (1) in-class tests; (2) assignments; and (3) final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Dr Gopalan Nair
Unit rules
Prerequisites:
STAT2062 Fundamentals of Probability with Applications
Advisable prior study:
STAT3061 Random Processes and their Applications; STAT3062 Statistical Science
Contact hours
lectures: 3 hours per week; labs: 1 hour per week from week 2
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.