Postgraduate Course: Multivariate Statistics and Methodology using R (PSYL11054)
Course Outline
School  School of Philosophy, Psychology and Language Sciences 
College  College of Humanities and Social Science 
Credit level (Normal year taken)  SCQF Level 11 (Postgraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This semester long course provides an advanced level overview of statistical analysis techniques and methodology issues relevant to psychological research.
The course builds on the concepts and skills developed in Univariate Statistics and Methodology using R (http://www.drps.ed.ac.uk/current/dpt/cxpsyl11053.htm)
It is taught using a combination of lab and lecture sessions and focusses on techniques used by students following Masters programmes in Psychology and Linguistics and researchers practicing in these areas. 
Course description 
The ability to choose and execute appropriate statistical analyses, along the reciprocal skill of design studies so that they provide the data needed to test hypotheses is core to modern research in complex phenomena, such as those studied in Psychology and in Linguistics.
The R language and environment supports these statistical computations and graphics in ways that are leading edge, highly flexible and in extremely high and growing demand.
Multivariate Statistics and Methodology using R uses a problemoriented approach to introduce analysis tools that extend to cases where multiple outcome variables are being studied simultaneously, and cases where the data contain a structure, e.g. children nested in classes, in schools, or more complex cases.
Typical Syllabus
 Linear Mixed Modelling (5 lectures)
 Structural Equation Modelling
 Factor Analysis (1 lecture)
 Confirmatory Factor Analysis (1 lecture)
 Path Analysis & Structural Equation Modelling (3 lectures)

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2018/19, Available to all students (SV1)

Quota: 100 
Course Start 
Semester 2 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Seminar/Tutorial Hours 22,
Supervised Practical/Workshop/Studio Hours 20,
Feedback/Feedforward Hours 22,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
12 )

Assessment (Further Info) 
Written Exam
0 %,
Coursework
0 %,
Practical Exam
100 %

Additional Information (Assessment) 
End of course assignment: a data analysis exercise (take home exam) 100%.
Page limit: 6 pages for the writeup (2 pages of text and 4 pages of tables/figures). You may include references which do not count towards the page allowance. The report should be written in a standard font, size 12, with standard 1 inch (2.54cm) margins on all sides.
Rcode: You must submit the Rcode used to produce the results presented in the report. This code must run without error. Any errors will result in a 10% deduction from the final grade. There is no limit for the Rcode which will be submitted alongside the report. 
Feedback 
Lab practicals that provide direct feedback on exercises and queries. Q&A sessions held once a week with course Teaching Assistants. Model answers for all lab and homework exercises. 
No Exam Information 
Learning Outcomes
On completion of this course, the student will be able to:
 understand a variety of issues regarding the choice of statistical analysis techniques for standard and unusual data sets
 understand how to use the R language as a tool for data manipulation, analysis and graphics
 become adept in expressing statistical models typically used in psychological research and interpreting their results

Reading List
Neither section of this course directly follows a single text. Below are a list of references which are indicative of content of the course.
Linear Mixed Models:
Field, A., Miles, J., & Field, Z. (2012). Discovering Statistics Using R. London: Sage.  Chapter 19 on 'Multilevel linear models'
Baayen, R. H. (2008). Analyzing linguistic data: A practical introduction to statistics using R. Cambridge: University Press.
Gelman, A., & Hill, J. (2007). Data analysis using regression and multilevel/hierarchical models. New York: Cambridge University Press.
Bates, D. M. (2010). lme4: MixedEffects Modeling with R. New York: Springer. Prepublication version at: http://lme4.rforge.rproject.org/book/
Faraway, J. (2005). Extending the Linear Model with R. Boca Raton: Chapman & Hall/CRC Texts.
Baayen, R. H., Davidson, D. J., & Bates, D. M. (2008). Mixedeffects modeling with crossed random effects for subjects and items. Journal of Memory and Language, 59(4), 390412. doi: 10.1016/j.jml.2007.12.005
Barr, D. J., Levy, R., Scheepers, C., & Tily, H. J. (2013). Random effects structure for confirmatory hypothesis testing: Keep it maximal. Journal of Memory and Language, 68(3), 255278. doi: 10.1016/j.jml.2012.11.001
Factor Analysis and Structural Equation Modeling:
Loehlin, J.C. (2004). Latent Variable Models: An Introduction to Factor, Path, and Structural Equation Analysis. Psychology Press.
Schmitt, T. A. (2011). Current methodological considerations in exploratory and confirmatory factor analysis. Journal of Psychoeducational Assessment, 29, 304321.
Revelle (online) Constructs, Components and Factor Models. http://www.personalityproject.org/revelle/syllabi/405/405factoranalysis.pdf
Reise, S. P., Waller, N. G., & Comrey, A. L. (2000). Factor analysis and scale revision. Psychological Assessment, 12, 287297.
Mulaik, S.A. (2009) Foundations of Factor Analysis, 2nd Edition. Chapman Hall. Note: This book is excellent for a technical treatment of factor analysis.
Rpackage information for 'factanal' and 'umx' are useful, as these will be the primary packages used in the labs. There is also a paper describing the 'umx' package:
Bates, Maes, and Neale (2017) umx: Twin and Pathbased Structural Equation Modeling in R. https://peerj.com/preprints/3354 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Not entered 
Contacts
Course organiser  Prof Timothy Bates
Tel: (0131 6)51 1945
Email: tim.bates@ed.ac.uk 
Course secretary  Miss Toni Noble
Tel: (0131 6)51 3188
Email: Toni.noble@ed.ac.uk 

