Probability, Statistics and Combinatorics: How to measure correlation with three variables and Simpson's paradox
- Date: –11:15
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
- Lecturer: Svante Linusson, KTH
- Organiser: Matematiska institutionen
- Contact person: Xing Shi Cai
Abstract: Correlation between two random variables can be positive, negative (or zero, i.e. the variables are independent). I this talk I will describe how, from a combinatorial, geometric point of view, positive and negative correlation correspond to the two possible triangulations of a square. Similarly I will argue that all possible correlations between three variables are indexed by the 72 triangulations of the three dimensional cube.
I will then describe joint work with Matthew Stamps where we study the generalisation of the so called Simpson's paradox to the three variable setting. (arxiv.org/abs/1809.04633)