BIOSTATS 6003EX - Probability and Distribution Theory

External - Semester 2 - 2014

This course will focus on applying the calculus-based techniques learned in Mathematical Background for Biostatistics to the study of probability and statistical distributions. These two courses, together with the subsequent Principles of Statistical Inference course, will provide the core prerequisite mathematical statistics background required for the study of later courses in the Graduate Diploma or Masters degree. This course begins with the study of probability, random variables, discrete and continuous distributions, and the use of calculus to obtain expressions for parameters of these distributions such as the mean and variance. Joint distributions for multiple random variables are introduced together with the important concepts of independence, correlation and covariance, marginal and conditional distributions. Techniques for determining distributions of transformations of random variables are discussed. The concept of the sampling distribution and standard error of an estimator of a parameter is presented, together with key properties of estimators. Large sample results concerning the properties of estimators are presented with emphasis on the central role of the normal distribution in these results. General approaches to obtaining estimators of parameters are introduced. Numerical simulation and graphing with Stata is used throughout to demonstrate concepts.

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Course Details

Course Code	BIOSTATS 6003EX
Course	Probability and Distribution Theory
Coordinating Unit	Public Health
Term	Semester 2
Level	Postgraduate Coursework
Location/s	External
Units	3
Contact	Up to 12 hours per week for 13 weeks
Prerequisites	BIOSTATS 6001EX
Restrictions	Available to Grad Cert, Grad Dip, M Biostatistics students only
Assessment	Two written assignments and selected practical exercises

Course Staff

Course Coordinator: Dr Amy Salter

Course Timetable

The full timetable of all activities for this course can be accessed from .

Learning Outcomes

Course Learning Outcomes

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Learning & Teaching Activities

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Workload

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Learning Activities Summary

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Assessment must encourage and reinforce learning.
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Submission

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Course Grading

Grades for your performance in this course will be awarded in accordance with the following scheme:

M10 (Coursework Mark Scheme)
Grade	Mark	Description
FNS		Fail No Submission
F	1-49	Fail
P	50-64	Pass
C	65-74	Credit
D	75-84	Distinction
HD	85-100	High Distinction
CN		Continuing
NFE		No Formal Examination
RP		Result Pending

Further details of the grades/results can be obtained from Examinations.

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