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Unit of study_

MATH1905: Statistical Thinking with Data (Advanced)

This unit is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering. This Advanced level unit of study parallels the normal unit MATH1005 but goes more deeply into the subject matter and requires more mathematical sophistication.

Code MATH1905
Academic unit Mathematics and Statistics Academic Operations
Credit points 3
Prerequisites:
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None
Corequisites:
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None
Prohibitions:
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MATH1005 or MATH1015 or STAT1021 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or DATA1901
Assumed knowledge:
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HSC Mathematics Extension 2 or 90 or above in HSC Mathematics Extension 1 or equivalent

At the completion of this unit, you should be able to:

  • LO1. Explain the difference between a randomised controlled experiment and an observational study, in particular the limitations of the latter
  • LO2. Produce and interpret various graphical and numerical summaries of univariate and bivariate data
  • LO3. Determine when and how to use the normal curve to approximate frequencies and probabilities
  • LO4. Determine when and how to use least-squares regression and correlation to describe a bivariate relationship
  • LO5. Show mathematically why binomial probability histograms are approximately normal
  • LO6. Use a simple statistical model (“box model”) to explain the random behaviour of sample sums and means
  • LO7. Use box models as the basis for various statistical tests
  • LO8. Apply the methods learnt to various real-world examples and draw sensible, practical statistical conclusions from them

Unit outlines

Unit outlines will be available 2 weeks before the first day of teaching for the relevant session.