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Overview

A continuation of the theoretical development begun in STAT270, this paper will cover the theory of ordinary least squares, maximum likelihood estimation and inference, hypothesis testing, and Bayesian inference.

This course continues to develop theory for making inference from data that was introduced in STAT 270 (or STAT 261). The tools developed by statisticians for analysing data have become a major factor in the advancement of scientific knowledge. Why are these tools so useful? The reason is that they are based on an agreed system of mathematical and statistical reasoning. In order to be confident that the methods used by a statistician are reliable we need an understanding of this theory.

About this paper

Paper title Statistical Inference
Subject Statistics
EFTS 0.15
Points 18 points
Teaching period Semester 2 (On campus)
Domestic Tuition Fees ( NZD ) $1,103.10
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
Prerequisite
MATH 140 and (STAT 261 or STAT 270)
Restriction
STAT 362
Schedule C
Arts and Music, Science
Eligibility

Students should have completed both STAT 270 (or STAT 261) and MATH 140 (or MATH 170).

Contact

ting.wang@otago.ac.nz

Teaching staff

Professor Ting Wang

Paper Structure

Main topics:

  • The general linear model
  • The likelihood function
  • Nonparametric statistics
  • Maximum likelihood estimation
  • Hypothesis testing using the likelihood function
  • Model selection using the likelihood function
Textbooks

Textbooks are not required for this paper.

Graduate Attributes Emphasised
Lifelong learning, Scholarship, Critical thinking, Information literacy, Research, Self-motivation.
View more information about Otago's graduate attributes.
Learning Outcomes

Students who successfully complete the paper will develop an understanding of key concepts in mathematical statistics.

Overview

A continuation of the theoretical development begun in STAT270, this paper will cover the theory of ordinary least squares, maximum likelihood estimation and inference, hypothesis testing, and Bayesian inference.

This course continues to develop theory for making inferences from data that was introduced in STAT 270 (or STAT 261). The tools developed by statisticians for analysing data have become a major factor in the advancement of scientific knowledge. Why are these tools so useful? The reason is that they are based on an agreed system of mathematical and statistical reasoning. In order to be confident that the methods used by a statistician are reliable, we need an understanding of this theory.

About this paper

Paper title Statistical Inference
Subject Statistics
EFTS 0.1500
Points 18 points
Teaching period Semester 2 (On campus)
Domestic Tuition Fees Tuition Fees for 2027 have not yet been set
International Tuition Fees Tuition Fees for international students are elsewhere on this website.
Prerequisite
MATH 140 and (STAT 261 or STAT 270)
Restriction
STAT 362
Schedule C
Arts and Music, Science
Eligibility

Students should have completed both STAT 270 (or STAT 261) and MATH 140 (or MATH 170).

Contact

conor.kresin@otago.ac.nz

Teaching staff

Professor Ting Wang

Paper Structure

Main topics:

  • The general linear model
  • The likelihood function
  • Nonparametric statistics
  • Maximum likelihood estimation
  • Hypothesis testing using the likelihood function
  • Model selection using the likelihood function
Textbooks

Textbooks are not required for this paper.

Graduate Attributes Emphasised
Lifelong learning, Scholarship, Critical thinking, Information literacy, Research, Self-motivation.
View more information about Otago's graduate attributes.
Learning Outcomes

Students who successfully complete the paper will develop an understanding of key concepts in mathematical statistics.

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