Statistical Modelling for Social Scientists SSPS10027 Semester 1, Year 3

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University of Edinburgh School of Social & Political Science Q Step 2017 2018 Statistical Modelling for Social Scientists SSPS10027 Semester 1, Year 3 Key Information Course Organiser Dr. Ugur Ozdemir Email: ugur.ozdemir@ed.ac.uk Room no. 2.13c (Enter through 2.13a) Chrystal MacMillan Building, 15A George Square Guidance & Feedback Hours: Fridays: 14.30 15.30 Thursdays: 10:30 11:30 Location Semester 1 Lecture: Mondays 16.10 18.00 Hill Sqr 5.2 Lister Tutorial: Fridays 13:10-14:00 B.03, Chrystal MacMillan Building Course Tutor Course Secretary Amy Andrada Email: A.Andrada@ed.ac.uk Daniel Jackson-Yang Email: daniel.jackson@ed.ac.uk Undergraduate Teaching Office Assessment Deadlines Timed Assignment: 12 noon Thursday 30 November 2017 Aims and Objectives The main aim of this course is to provide a broad perspective on the use of statistical modelling to reach conclusions from data, of the types usually encountered in social science research. All of these models are covered as special cases of the Generalized Linear Statistical Model, which provides a central unifying statistical framework for the entire course. The course will be a mix of theory, computing (in R) and data analysis. Along with the statistical material, the course also aims to equip students with two computational skills: data management and data visualization. R packages dplyr and ggplot2 will be introduced and used for these purposes. 2016-17 Statistical Modelling 1

Contents Key Information... 1 Aims and Objectives... 1 Learning Outcomes... 3 Teaching Methods... 3 Assessment... 3 Communications and Feedback... 4 Readings and Resource List... 4 Lecture Summary... 5 Course Lectures and Further Readings... 6 Appendix 1 General Information... 9 Students with Disabilities... 9 Learning Resources for Undergraduates... 9 Discussing Sensitive Topics... 10 Appendix 1 General Information... 10 Students with Disabilities... 10 Learning Resources for Undergraduates... 10 External Examiner... Error! Bookmark not defined. Appendix 2 - Course Work Submission and Penalties... 11 Penalties that can be applied to your work and how to avoid them.... 11 ELMA: Submission and Return of Coursework... 12 Extensions: New policy-applicable for years 1-4... 12 Exam Feedback and Viewing Exam Scripts:... 12 Plagiarism Guidance for Students: Avoiding Plagiarism... 13 Data Protection Guidance for Students... 13 2016-17 Statistical Modelling 2

Learning Outcomes By the end of the course students will: 1. Have a unified conceptual and mathematical understanding of generalized linear models. 2. Be able to use the statistical software R for data management, data analysis and data visualization. 3. Be able to analyse multidimensional data 4. To appreciate the uses and limits maximum likelihood estimation. Teaching Methods The course is taught at an intermediate statistical level. Although the course will cover the technical aspects of the models introduced, the emphasis is on understanding and applying statistical concepts and techniques, and, coding and interpretation rather than proving the underlying theorems. Lectures are combined with practical computer lab tutorials in order to illustrate the applications of the models introduced. The course employs a hands-on approach through analysis using the statistical software R. The applications are mostly chosen from real social science research questions but examples from other disciplines like biology, medicine and engineering are also presented. Assessment Students will be assessed by: Assessment Tutorial assessment Timed Assignment Word count limit Weighting Submission date Return of feedback NA 40% Weekly 1 week later NA 60% 30/11/2017 (12pm) 21/12/2017 Note: The timed assignment is submitted electronically through ELMA. Please read the School Policies and Coursework Submission Procedures which you will find in appendix 2. Tutorial Assessment The tutorial assessment is on the best eight out of nine weekly quizzes in the tutorials. There will be no quiz in the first and the last weeks. Each of the 8 selected quizzes will be worth 5 percentage points of the 40 percentage points allocated to all tutorial assignments. The quizzes will be no longer than 15 minutes and will typically include questions regarding to previous two weeks material. Timed Assignment Students will have 72 hours to complete a timed assignment. There will be some constrained choice on the assignment and it will include both problem solving and data analysis sections. Further details about the timed assignment will be provided in the lectures. 2016-17 Statistical Modelling 3

All coursework is submitted electronically through ELMA. Please read the School Policies and Coursework Submission Procedures which you will find here. Attendance Attendance and participation in the lectures and discussion are essential for developing an understanding of the topics. Communications and Feedback You are strongly encouraged to use email for routine communication with lecturers. We shall also use email to communicate with you, e.g., to assign readings for the second hour of each class. All students are provided with email addresses on the university system, if you are not sure of your address, which is based on your matric number, check your EUCLID database entry using the Student Portal. This is the ONLY email address we shall use to communicate with you. Please note that we will NOT use private email addresses such as Yahoo or Hotmail; it is therefore essential that you check your university email regularly, preferably each day. Readings and Resource List Statistical software R will be used throughout the course. R is an open source software and freely available online. We will also use R-Studio, a graphical user interface for R, which is also freely available. There is NO REQUIRED TEXTBOOK for the course. There are also no required readings for the course. The ones listed in the outline below are all suggestions. The lecture notes are sufficient in terms of the theoretical material. When it comes to R, apart from the tutorial handouts, Google is your friend. R has a very active online community and you can find solutions to all of your problems by simply searching. The help files for the R packages we will be using are also very comprehensive. You might find the following books helpful though: Dobson, Annette J., and Adrian Barnett. An Introduction to Generalized Linear Models. CRC Press, 2008. (DA) Madsen, Henrik, and Poul Thyregod. Introduction to General and Generalized linear models. CRC Press, 2010. Matloff, Norman. The Art of R Programming: A tour of statistical software design. No Starch Press, 2011. Crawley, Michael J. The R book. John Wiley & Sons, 2012. Chang, Winston. R Graphics Cookbook. O'Reilly Media, Inc., 2012. Madsen, Henrik, and Poul Thyregod. Introduction to General and Generalized Linear Models. CRC Press, 2010 Agresti, Alan. Foundations of Linear and Generalized Linear Models. John Wiley & Sons, 2015. 2016-17 Statistical Modelling 4

Lecture Summary Week Date Lecture 1 18/09/2017 Principles of Statistical Modelling 2 25/09/2017 Introduction to R 3 02/10/2017 Data Types and Data Manipulation with R 4 09/10/2017 Data Visualization with R (ggplot2) 5 16/10/2017 GLM: Basics 6 7 23/10/2017 30/10/2017 GLM Estimation: The Maximum Likelihood Estimator GLM: Binary Variables and Logistic Regression 8 06/11/2017 GLM: Multinomial Logistic Regression 9 13/11/2017 GLM: Ordinal Logistic Regression 10 20/11/2017 GLM: Poisson Regression 11 27/11/2017 Revision 2016-17 Statistical Modelling 5

Course Lectures and Further Readings Week 1 - Principles of Statistical Modelling Exploratory data analysis Model formulation Parameter estimation Model diagnostics Inference and interpretation - Cox, D. R. and E. J. Snell (1981). Applied Statistics: Principles and Examples. London: Chapman & Hall (p: 1-19) - DA (Chapter 3) Week 2 - Introduction to R What is R? Installing R, R-Studio and R packages Simple programming structures Data input and output https://cran.r-project.org/doc/contrib/torfs+brauer-short-r-intro.pdf https://cran.r-project.org/doc/manuals/r-release/r-intro.pdf Week 3 - Data Types and Data Manipulation with R Common data structures in R (vectors, matrices, lists, data frames) Data manipulation with R. (Base functions and the dplyr package) https://cran.rstudio.com/web/packages/dplyr/vignettes/introduction.html https://www.rstudio.com/wp-content/uploads/2015/02/data-wrangling-cheatsheet.pdf Week 4 - Data Visualization with R (ggplot2) Data visualization using the ggplot2 package https://www.rstudio.com/wp-content/uploads/2015/03/ggplot2-cheatsheet.pdf 2016-17 Statistical Modelling 6

Week 5 - GLM Basics Exponential family of distributions Error structures Properties of distributions in the exponential family Linear regression as a GLM - DA (Chapter 3) Week 6 - GLM Estimation: The Maximum Likelihood Estimator Point estimation theory The likelihood function The maximum likelihood estimate Likelihood ratio tests - Madsen, Henrik, and Poul Thyregod. Introduction to general and generalized linear models. CRC Press, 2010 (Chapter 3) Week 7 - GLM: Binary Variables and Logistic Regression Link functions for binary data Properties and interpretations Inference about parameters of logistic regression models Deviance and goodness of fit - DA (Chapter 7) Week 8 - GLM: Multinomial Logistic Regression Multinomial distribution Nominal logistic regression Non-nested model comparison - DA (Chapter 8) Week 9 - GLM: Ordinal Logistic Regression Proportional odds model Adjacent categories logit model Continuation ratio logit model 2016-17 Statistical Modelling 7

- DA (Chapter 8) Week 10 - GLM: Poisson Regression Poisson GLMs for counts and rates Examples of contingency tables Probability models for contingency tables - DA (Chapter 9) Week 11 - Revision 2016-17 Statistical Modelling 8

Appendix 1 General Information Students with Disabilities The School welcomes disabled students with disabilities (including those with specific learning difficulties such as dyslexia) and is working to make all its courses as accessible as possible. If you have a disability special needs which means that you may require adjustments to be made to ensure access to lectures, tutorials or exams, or any other aspect of your studies, you can discuss these with your Student Support Officer or Personal Tutor who will advise on the appropriate procedures. You can also contact the Student Disability Service, based on the University of Edinburgh, Third Floor, Main Library, You can find their details as well as information on all of the support they can offer at: http://www.ed.ac.uk/student-disability-service Learning Resources for Undergraduates The Study Development Team at the Institute for Academic Development (IAD) provides resources and workshops aimed at helping all students to enhance their learning skills and develop effective study techniques. Resources and workshops cover a range of topics, such as managing your own learning, reading, note-making, essay and report writing, exam preparation and exam techniques. The study development resources are housed on LearnBetter (undergraduate), part of Learn, the University s virtual learning environment. Follow the link from the IAD Study Development web page to enrol: www.ed.ac.uk/iad/undergraduates Workshops are interactive: they will give you the chance to take part in activities, have discussions, exchange strategies, share ideas and ask questions. They are 90 minutes long and held on Wednesday afternoons at 1.30pm or 3.30pm. The schedule is available from the IAD Undergraduate web page (see above). Workshops are open to all undergraduates but you need to book in advance, using the MyEd booking system. Each workshop opens for booking two weeks before the date of the workshop itself. If you book and then cannot attend, please cancel in advance through MyEd so that another student can have your place. (To be fair to all students, anyone who persistently books on workshops and fails to attend may be barred from signing up for future events). Study Development Advisors are also available for an individual consultation if you have specific questions about your own approach to studying, working more effectively, strategies for improving your learning and your academic work. Please note, however, that Study Development Advisors are not subject specialists so they cannot comment on the content of your work. They also do not check or proof read students' work. To make an appointment with a Study Development Advisor, email iad.study@ed.ac.uk (For support with English Language, you should contact the English Language Teaching Centre). 2016-17 Statistical Modelling 9

Discussing Sensitive Topics The discipline of *Enter Subject Area*addresses a number of topics that some might find sensitive or, in some cases, distressing. You should read this Course Guide carefully and if there are any topics that you may feel distressed by you should seek advice from the course convenor and/or your Personal Tutor. For more general issues you may consider seeking the advice of the Student Counselling Service, http://www.ed.ac.uk/schools-departments/student-counselling External Examiner The External Examiner for the Q-Step Honours programme is: TBC Appendix 1 General Information Students with Disabilities The School welcomes disabled students with disabilities (including those with specific learning difficulties such as dyslexia) and is working to make all its courses as accessible as possible. If you have a disability special needs which means that you may require adjustments to be made to ensure access to lectures, tutorials or exams, or any other aspect of your studies, you can discuss these with your Student Support Officer or Personal Tutor who will advise on the appropriate procedures. You can also contact the Student Disability Service, based on the University of Edinburgh, Third Floor, Main Library, You can find their details as well as information on all of the support they can offer at: http://www.ed.ac.uk/student-disability-service Learning Resources for Undergraduates The Study Development Team at the Institute for Academic Development (IAD) provides resources and workshops aimed at helping all students to enhance their learning skills and develop effective study techniques. Resources and workshops cover a range of topics, such as managing your own learning, reading, note-making, essay and report writing, exam preparation and exam techniques. The study development resources are housed on LearnBetter (undergraduate), part of Learn, the University s virtual learning environment. Follow the link from the IAD Study Development web page to enrol: www.ed.ac.uk/iad/undergraduates Workshops are interactive: they will give you the chance to take part in activities, have discussions, exchange strategies, share ideas and ask questions. They are 90 minutes long and held on Wednesday afternoons at 1.30pm or 3.30pm. The schedule is available from the IAD Undergraduate web page (see above). Workshops are open to all undergraduates but you need to book in advance, using the MyEd booking system. Each workshop opens for booking two weeks before the date of the workshop itself. If you book and then cannot attend, please cancel in advance through MyEd so that another student can have your place. (To be fair to all students, anyone who persistently books on workshops and fails to attend may be barred from signing up for future events). Study Development Advisors are also available for an individual consultation if you have specific questions about your own approach to studying, working more effectively, strategies for improving your learning and your academic work. Please 2016-17 Statistical Modelling 10

note, however, that Study Development Advisors are not subject specialists so they cannot comment on the content of your work. They also do not check or proof read students' work. To make an appointment with a Study Development Advisor, email iad.study@ed.ac.uk (For support with English Language, you should contact the English Language Teaching Centre). Appendix 2 - Course Work Submission and Penalties Penalties that can be applied to your work and how to avoid them. There are three types of penalties that can be applied to your course work and these are listed below. Students must read the full description on each of these at: http://www.sps.ed.ac.uk/undergrad/current_students/teaching_and_learning/assessm ent_and_regulations/coursework_penalties Make sure you are aware of each of these penalties and know how to avoid them. Students are responsible for taking the time to read guidance and for ensuring their coursework submissions comply with guidance. Incorrect submission Penalty When a piece of coursework is submitted to our Electronic Submission System (ELMA) that does not comply with our submission guidance (wrong format, incorrect document, no cover sheet etc.) a penalty of 5 marks will be applied to students work. Lateness Penalty If you miss the submission deadline for any piece of assessed work 5 marks will be deducted for each calendar day that work is late, up to a maximum of seven calendar days (35 marks). Thereafter, a mark of zero will be recorded. There is no grace period for lateness and penalties begin to apply immediately following the deadline. Word Count Penalty The penalty for excessive word length in coursework is one mark deducted for each additional 20 words over the limit. Word limits vary across subject areas and submissions, so check your course handbook. Make sure you know what is and what is not included in the word count. Again, check the course handbook for this information. You will not be penalised for submitting work below the word limit. However, you should note that shorter essays are unlikely to achieve the required depth and that this will be reflected in your mark. 2016-17 Statistical Modelling 11

ELMA: Submission and Return of Coursework Coursework is submitted online using our electronic submission system, ELMA. You will not be required to submit a paper copy of your work. Marked coursework, grades and feedback will be returned to you via ELMA. You will not receive a paper copy of your marked course work or feedback. For details of how to submit your course work to ELMA, please see our webpages here. Remember, there is a 5 mark incorrect submission penalty, so read the guidance carefully and follow it to avoid receiving this. Extensions: New policy-applicable for years 1-4 From September 2016, there will be a new extensions policy that applies to all courses in the school from years one to four. If you have good reason for not meeting a coursework deadline, you may request an extension. Before you request an extension, make sure you have read all the guidance on our webpages and take note of the key points below. You will also be able to access the online extension request form through our webpages. Extensions are granted for 7 calendar days. Extension requests must be submitted no later than 24 hours before the coursework deadline. If you miss the deadline for requesting an extension for a valid reason, you should submit your coursework as soon as you are able, and apply for Special Circumstances to disregard penalties for late submission. You should also contact your Student Support Officer or Personal Tutor and make them aware of your situation. If you have a valid reason and require an extension of more than 7 calendar days, you should submit your coursework as soon as you are able, and apply for Special Circumstances to disregard penalties for late submission. You should also contact your Student Support Officer or Personal Tutor and make them aware of your situation. If you have a Learning Profile from the Disability Service allowing you potential for flexibility over deadlines, you must still make an extension request for this to be taken into account. Exam Feedback and Viewing Exam Scripts: General exam feedback will be provided for all courses with an examination. General feedback will be uploaded to the relevant course learn page within 24 hours of the overall marks for the course being returned to Students. Students who sit the exam will also receive individual feedback. The relevant Course Secretary will contact students to let them know when this is available and how to access it. If students wish to view their scripts for any reason, they must contact the relevant Course Secretary via email to arrange this. 2016-17 Statistical Modelling 12

Plagiarism Guidance for Students: Avoiding Plagiarism Material you submit for assessment, such as your essays, must be your own work. You can, and should, draw upon published work, ideas from lectures and class discussions, and (if appropriate) even upon discussions with other students, but you must always make clear that you are doing so. Passing off anyone else s work (including another student s work or material from the Web or a published author) as your own is plagiarism and will be punished severely. When you upload your work to ELMA you will be asked to check a box to confirm the work is your own. All submissions will be run through Turnitin, our plagiarism detection software. Turnitin compares every essay against a constantly-updated database, which highlights all plagiarised work. Assessed work that contains plagiarised material will be awarded a mark of zero, and serious cases of plagiarism will also be reported to the College Academic Misconduct officer. In either case, the actions taken will be noted permanently on the student's record. For further details on plagiarism see the Academic Services website: http://www.ed.ac.uk/academic-services/staff/discipline/plagiarism Data Protection Guidance for Students In most circumstances, students are responsible for ensuring that their work with information about living, identifiable individuals complies with the requirements of the Data Protection Act. The document, Personal Data Processed by Students, provides an explanation of why this is the case. It can be found, with advice on data protection compliance and ethical best practice in the handling of information about living, identifiable individuals, on the Records Management section of the University website at: http://www.ed.ac.uk/schools-departments/records-management-section/dataprotection/guidance-policies/dpforstudents 2016-17 Statistical Modelling 13