After taking this course, students can:
1. calculate probabilities and conditional probabilities of events, also using computer program PQRS
2. evaluate if statistical dependence holds or is violated
3. evaluate characteristics of probability density functions and apply them to different research problems
4. generate and evaluate a likelihood function for different research problems
5. note the difference between simulation studies, mathematical proofs, and empirical studies, and can evaluate if they can be used in particular research questions
6. identify problems that can be solved using simulation studies
7. conduct small-scale simulation studies and analyze their results using the R statistical software
8. interpret and apply data-analysis techniques based on simulations, such as the parametric bootstrap, nonparametric bootstrap and the permutation test
9. apply Bayes’ theorem to different research problems
10. evaluate and select appropriate prior distributions in Bayesian analysis
11. combine the prior distribution and likelihood function into the posterior distribution, using Bayes’ theorem
12. test statistical hypotheses using Bayes factors using the R software
Each module contains 4 lectures and practicals. Assignments in the practicals consist of paper-and-pencil and computer questions, and are graded. The grades for each module are a weighted average of the grades for these assignments. The final grade for the course is the average grade of the three module grades. The student passes the course if the average grade of the three assignments is at least 5.5, with the proviso that none of the three assignments is lower than 4.5.
If students fail for the first exam of an academic year, they can retake of one to three of the individual modules. The retake of one module comprises one all-encompassing assignment. Grades of individual modules expire in the next academic year.
Required PrerequisitesMTO-B on inferential statistics, MTO-C-MAW on causal analysis techniques, or at least one of MTO-C-PSY on Experimental Research Methods and MTO-D-PSY on Correlational Research Methods 1, or equivalent courses (subject to the decision of the programme director of MTO).