We can formulate this situation into an example of Simpson’s Paradox. When employee outcomes were examined overall, there was no evidence of discrimination between men and women. However, if employee outcomes were to be further broken down by race, there would have been a very clear discrepancy between the BlackRead More →

Many of the proposed strategies use the notions introduced by Claude Shannon to solve problems of communication… Wordle is a game of chance William Casselman University of British Columbia The game Wordle, which is found currently on the New York Times official Wordle site, can be played by anybody withRead More →

When we start to think more about it, more questions arise. What makes a line “good”? How do we tell if a line is the “best”? The Origins of Ordinary Least Squares Assumptions Some Are More Breakable Than Others Sara Stoudt Bucknell University Introduction Fitting a line to a setRead More →

Principal Component Analysis: Three Examples and some Theory Very often, especially in applications to the life sciences, useful low-dimensional projections exist and allow humans to grasp a data set that would otherwise be inscrutable. Tony Phillips Stony Brook University Introduction Principal component analysis (PCA), an algorithm for helping us understandRead More →

An epidemic is a sequence of random events If a contact is made, then whether or not infection is transferred is much like tossing a (loaded) coin. How can a simulation take all this uncertainty into account? Bill Casselman University of British Columbia Just recently, I started thinking about makingRead More →