Data Analysis and Statistics

fMRI data analysis: statistics, information and dynamics

Introduction to Statistics and Data Analysis

Bayesian Statistics for Biological Data: Pedigree Analysis

I n teaching biology, there may be a tendency to concentrate too much on the descriptive aspects of the subject. A well-rounded education in the biological sciences also requires experience in the gathering and statistical analysis (interpretation) of quantitative data from field or laboratory studies. There are numerous mathematical tools and computer programs to help us do this today. Introdu...

On quantum statistics in data analysis

Originally, quantum probability theory was developed to analyze statistical phenomena in quantum systems, where classical probability theory does not apply, because the lattice of measurable sets is not necessarily distributive. On the other hand, it is well known that the lattices of concepts, that arise in data analysis, are in general also non-distributive, albeit for completely different re...

Extremum statistics: a framework for data analysis

Recent work has suggested that in highly correlated systems, such as sandpiles, turbulent fluids, ignited trees in forest fires and magnetization in a ferromagnet close to a critical point, the probability distribution of a global quantity (i.e. total energy dissipation, magnetization and so forth) that has been normalized to the first two moments follows a specific non-Gaussian curve. This cur...