Theory of ordinary least squares, maximum likelihood estimation and inference, hypothesis testing, Bayesian inference.
This paper continues the theoretical development begun in 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.
|Paper title||Probability and Inference 2|
|Teaching period||Second Semester|
|Domestic Tuition Fees (NZD)||$868.95|
|International Tuition Fees (NZD)||$3,656.70|
- STAT 261 and MATH 170
- Schedule C
- Arts and Music, Science
- All students majoring in Statistics under the Statistics Theme must take this paper. It is strongly recommended for all statistic students. STAT 261 and STAT 362 should also be considered by students with a strong mathematics background interested in a career in scientific research.
- More information link
- View more information for STAT 362
- Teaching staff
- Paper Structure
- Main topics:
- The general linear model
- The likelihood function
- Bayesian inference
- Maximum likelihood estimation
- Hypothesis testing using the likelihood function
- Model selection using the likelihood function
- Teaching Arrangements
- Five 50-minute lectures per fortnight. One 2-hour tutorial a week.
- Textbooks are not required for this paper.
- Mathematical Statistics with Applications by Wackerly, Mendenhall and Scheaffer
- An Introduction to Mathematical Statistics and its Applications by Larsen and Marx
- Course outline
- View course outline for STAT 362
- Graduate Attributes Emphasised
- Communication, Critical thinking, Information literacy.
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.