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Unit of study_

MATH1005: Statistical Thinking with Data

In a data-rich world, global citizens need to problem solve with data and evidence based decision-making is essential in every field of research and work. This unit equips you with the foundational statistical thinking to become a critical consumer of data. You will learn to think analytically about data and to evaluate the validity and accuracy of any conclusions drawn. Focusing on statistical literacy, the unit covers foundational statistical concepts, including the design of experiments, exploratory data analysis, sampling and tests of significance.

Code MATH1005
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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MATH1015 or MATH1905 or STAT1021 or ECMT1010 or ENVX1001 or ENVX1002 or BUSS1020 or DATA1001 or DATA1901
Assumed knowledge:
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HSC Mathematics Advanced or equivalent

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

  • LO1. articulate the importance of statistics in a data-rich world
  • LO2. identify the study design behind a dataset and how the study design affects context specific outcomes
  • LO3. produce, interpret and compare graphical and numerical summaries in R
  • LO4. apply the normal approximation to data, with consideration of measurement error
  • LO5. model the relationship between 2 variables using linear regression
  • LO6. use the box model to describe chance and chance variability, including sample surveys and the central limit theorem
  • LO7. given real multivariate data and a problem, formulate an appropriate hypothesis and perform a hypothesis test
  • LO8. interpret the p-value, conscious of the various pitfalls associated with testing
  • LO9. critique the use of statistics in media and research papers, with attention to confounding and bias
  • LO10. perform data exploration in a team, and communicate the findings via oral and oral reproducible reports