sta5ts theory of statistics

THEORY OF STATISTICS

STA5TS

2017

Credit points: 15

Subject outline

This subject builds on the knowledge of classical statistical inference developed in either STA3SI (Statistical Inference) or STA4SI (Statistical Inference). It consists of a selection of material from the following chapters of Casella and Berger (2002): Chapter 6 (Principles of Data Reduction), Chapter 7 (Point Estimation), Chapter 8 (Hypothesis Testing), Chapter 9 (Interval Estimation) and Chapter 10 (Asymptotic Evaluations). This also includes an introduction to the effect of model selection on confidence intervals. This subject is co-offered with STA4TS although assumes a deeper level of understanding of the subject content.

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorPaul Kabaila

Available to Study Abroad StudentsYes

Subject year levelYear Level 5 - Masters

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites STA3SI or STA4SI or enrolment into SMDS

Co-requisitesN/A

Incompatible subjects STA4TS

Equivalent subjectsN/A

Special conditions A sufficient background in probability and statistics is required to undertake this subject.

Learning resources

Readings

Resource Type	Title	Resource Requirement	Author and Year	Publisher
Readings	Statistical Inference, 2nd edition (2002)	Recommended	Casella, G. and Berger, R.L.	.

Graduate capabilities & intended learning outcomes

01. Present clear proofs of fundamental results in the advanced theory of statistical inference given in the lectures.

Activities:: Active participation in lectures. Preparation for the exam, which consists solely of proofs and sections of proofs from the lecture slides.
Related graduate capabilities and elements:: Literacies and Communication Skills(Writing); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)

02. Derive mathematical calculations to investigate properties of data reduction by sufficiency, data reduction by ancillarity, data reduction by invariance, the assessment of confidence intervals and the effect of model selection on confidence intervals.

Activities:: Active participation in lectures. Also, solving assignment questions relating to these topics.
Related graduate capabilities and elements:: Literacies and Communication Skills(Writing); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Personal and Professional Skills(Autonomy and independence); Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)

03. Write clear, well-structured and rigorous proofs of results in the theory of statistical inference that the students have not seen in lectures. This includes appropriate use of statistical and mathematical vocabulary and notation.

Activities:: Assignments given out every week or second week involve theoretical derivations of results not stated in lectures. Each assignment consists of up to 100% assessed theoretical derivations.
Related graduate capabilities and elements:: Literacies and Communication Skills(Writing); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Personal and Professional Skills(Autonomy and independence); Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)

04. Describe some important implications for statistical practice of the advanced theory of statistical inference.

Activities:: Active participation in lectures. Also, solving assignment questions relating to these implications.
Related graduate capabilities and elements:: Literacies and Communication Skills(Writing); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Personal and Professional Skills(Autonomy and independence); Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)

05. Independently formulate proofs for key theoretical results presented in the lectures.

Activities:: Assignments given out every week or second week involve theoretical derivations of results not stated in lectures. Each assignment consists of up to 100% assessed theoretical derivations.
Related graduate capabilities and elements:: Literacies and Communication Skills(Writing); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Inquiry and Analytical Skills(Critical Thinking,Creative Problem-solving,Inquiry/Research); Personal and Professional Skills(Autonomy and independence); Discipline -Specific Knowledge and Skills(Discipline-Specific Knowledge and Skills)

Subject options

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Melbourne, 2017, Semester 1, Day

Overview

Online enrolmentNo

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorPaul Kabaila

Class requirements

LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment element	Comments	%	ILO*
Final examination (2-hour)		60	01, 02, 04
Seven assignments (approx. 400 words each)		40	01, 02, 03, 04, 05

Melbourne, 2017, Semester 2, Day