This is an update to the main post from two weeks ago. Please click on the link for a detailed description of the election process and how we model it to make the predictions you see below. You can click on the date above the map to check the … [Continue reading]

## Predicting The 2016 US Presidential Election

November 7 UPDATE: click here to view our final update post where we give our latest analyses just a day before the election! Click here to go to our daily predictions page. In the first 10 posts I mostly concentrated on theoretical topics. But the … [Continue reading]

## Frequentist And Bayesian Approaches In Statistics

What is statistics? Well, imagine you obtained some data from a particular collection of things. It could be the heights of individuals within a group of people, the weights of cats in a clowder, the number of petals in a bouquet of flowers, and so … [Continue reading]

## Combinatorics: An Intuitive Introduction

Combinatorics is a branch of mathematics with applications in fields like physics, economics, computer programming, and many others. In particular, probability theory is one of the fields that makes heavy use of combinatorics in a wide variety of … [Continue reading]

## Calculating Compound Event Probabilities

Probabilities can be thought of as measures of uncertainty in the occurrence of an event, the truth of a hypothesis, and so on. These measures are numbers between 0 and 1. Zero means the event is impossible to occur and 1 means the event is certain … [Continue reading]

## Probability: What Is It, Really?

Throughout history, we have come up with better and more accurate ways to measure physical quantities like time, length, mass, and temperature. This has been crucial for our scientific and technological development. Each of these quantities has a … [Continue reading]