Overview

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Academic contacts

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Offerings

KAPLAN-SGP-TJA-MIXEDMODE-2027-2027
KAPLAN-SGP-TMA-MIXEDMODE-2026-2026
KAPLAN-SGP-TSA-MIXEDMODE-2025-2025
KAPLAN-SGP-TSA-MIXEDMODE-2027-2027
MURDOCH-S1-FACE2FACE-2025-ONGOING
MURDOCH-S1-ONLINEFLEX-2025-ONGOING

To view more information about assessments, contacts and learning activities specific to one of these offerings, please select an offering from the drop-down menu above.

Enrolment rules

Students must have a calculus background equivalent to at least MAS182 Applied Mathematics if the pre-requisite MAS182 have not been completed.

Other learning activities

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Learning activities

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Learning outcomes

1.

Carry out a variety of statistical analyses. In particular, students should be able to: a. compute probabilities, applying rules of addition and multiplication; b. demonstrate an understanding of probability functions and joint probability functions for random variables; c. explain ideas of conditional probability and independence; d. calculate expected values; e. obtain maximum likelihood estimators; f. carry out likelihood ratio tests; and g. demonstrate an understanding of the philosophy of hypothesis testing and statistical estimation.

2.

Explain conceptually the various statistical methods covered in the unit and the correct application of these methods, and develop a familiarity with computational tools and methods in the context of probability and inference.

Assessments

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Additional information

Unit content:• Probability theory • Multiplication rule, combinatorics, conditional probability • Random variables, mathematical expectation • Discrete probability distributions • Cumulative distribution function, continuous probability distributions • Joint probability distributions, covariance • The Central Limit Theorem • Likelihood Inference • Properties of estimators • Confidence intervals, hypothesis tests • Wald tests • Likelihood ratio tests