The aim of this lecture is to revise the basic concepts of probability theory that are relevant to inferential statistics (Frequentist and Bayesian).
This course will cover most of the statistics both presented in the Frequentist as well as the Bayesian approaches. Hence we will need to first revise (lecture 1) some probability theory since different views of probability provides the basis for frequentist and Bayesian inferential statistics. We will then consider the conceptual basis of Frequentist statistics (i.e. what is its aim?), how it works and how it should be implemented, This will also be done for Bayesian analysis (lecture 2 and possibly 3). Notice that I assume you have revised your undergraduate (I assume you only did cover frequentist statistics – even if you probably did not know this was its name 😉
After this we will cover a series of statistical tests both in frequentist and Bayesian form (Binomial test; Normal/t-test; Correlation; simple regression; Chi square test; Anova).
To support data analysis you will need to use JASP (freely downloadable at https://jasp-stats.org/download/ ).
JASP Manuals – AVAILABLE IN KIRO
See also in KIRO a couple of files from the net on JASP and Bayesian analyses
We will also use a couple of applications developed by Z. Dienes available online at http://www.lifesci.sussex.ac.uk/home/Zoltan_Dienes/inference/Bayes.htm
This site provides also a lot of useful links to papers and videos on Bayesian statistics.
So please download JASP onto your personal computer/laptop (I am not sure it works on tablets). It is also, now, available online via a browser.
I intend to use the 12 3-hours slot for lectures, laboratory, exercises and questions and answers time so to learn both the ‘why’ of the stats and the ‘how’ and implement the analyses.
For the assessment I want you to write 2 reports of maximum 2000 words each, in the format of a research study (i.e. intro, methods, analyses and conclusion) based on collected or provided data (more later in the course). These pieces of work, to be carried out at home, obviously, will constitute your exam.
I will add information on texts and papers to study on KIRO (Moodle it is its real name) available at
https://elearning3.unipv.it/psicologia/course/view.php?id=10 the password to logon is your email’s password and your “codice fiscale” is the log in.
Finally, in this difficult period due to this virus outbreak and lack of vis-a-vis contact, it is important that you can receive prompt support on the course content thus please email me your questions, if there is any, and I will try to answer asap.
My email is riccardo.russo@unipv.it
Book
Statistics for the Behavioural Sciences. An Introduction to Frequentist and Bayesian Approaches.