Undergraduate Course: Statistical Methodology (MATH10095)
Course Outline
| School | School of Mathematics | 
College | College of Science and Engineering | 
 
| Credit level (Normal year taken) | SCQF Level 10 (Year 3 Undergraduate) | 
Availability | Available to all students | 
 
| SCQF Credits | 10 | 
ECTS Credits | 5 | 
 
 
| Summary | This course provides many of the underlying concepts and theory for Likelihood based statistical analyses, and is required for further Year 3-5 courses in Statistics. | 
 
| Course description | 
    
    Topics to be covered include:  
 
- likelihood function  
- maximum likelihood estimation  
- likelihood ratio tests  
- Bayes theorem and posterior distribution  
- Iterative estimation of the MLE (Fisher's method of scoring)  
- normal linear models
    
    
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Information for Visiting Students 
| Pre-requisites | Visiting students are advised to check that they have studied the material covered in the syllabus of any pre-requisite course listed above before enrolling. | 
 
		| High Demand Course? | 
		Yes | 
     
 
Course Delivery Information
 |  
| Academic year 2023/24, Available to all students (SV1) 
  
 | 
Quota:  None | 
 
| Course Start | 
Semester 1 | 
 
Timetable  | 
	
Timetable | 
| Learning and Teaching activities (Further Info) | 
 
 Total Hours:
100
(
 Lecture Hours 22,
 Seminar/Tutorial Hours 5,
 Summative Assessment Hours 2,
 Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
69 )
 | 
 
| Assessment (Further Info) | 
 
  Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
 | 
 
 
| Additional Information (Assessment) | 
Coursework 20%; Examination 80% | 
 
| Feedback | 
Not entered | 
 
| Exam Information | 
 
    | Exam Diet | 
    Paper Name | 
    Hours & Minutes | 
    
	 | 
  
| Main Exam Diet S1 (December) | Statistical Methodology (MATH10095) | 2:00 |  |  
 
Learning Outcomes 
    On completion of this course, the student will be able to:
    
        - Apply likelihood-based methods to derive estimates and confidence intervals, and conduct hypothesis tests
 - Fit normal linear models to data, analyse the model assumptions, and derive the theoretical computations of the models.
 - Conduct analyses using R.
 - Demonstrate a time management skill to make the coursework deadlines.
 
     
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Reading List 
Recommended, but not essential:   
 
1.  Wood, S. N., Core Statistics, Cambridge University Press, 2015.  
2.  Azzalini, A., Statistical Inference Based on the Likelihood, Chapman & Hall, 1996.  
3.  Held, L. & Bove, D. S., Applied Statistical Inference: Likelihood and Bayes, Springer, 2014.  
4.  Christensen, R. et al., Bayesian Ideas and Data Analysis, An Introduction for Scientists and Statisticians, Chapman & Hall, 2011.   
5.  Weisberg, S., Applied Linear Regression, 2nd Edition, Wiley, 2005.  
6.  Crawley, M. J. The R Book, Wiley, 2013. |   
 
Additional Information
| Graduate Attributes and Skills | 
Not entered | 
 
| Keywords | StMe,Statistics | 
 
 
Contacts 
| Course organiser | Dr Victor Elvira Arregui 
Tel:  
Email: victor.elvira@ed.ac.uk | 
Course secretary | Miss Greta Mazelyte 
Tel:  
Email: greta.mazelyte@ed.ac.uk | 
   
 
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