Category: statistics

Statistics Visually Explained

Statistical literacy is essential to our data-driven society. Analytics has been and continues to be a game changer in many business fields, among other Human Resources. Yet, for all the increased importance and demand for statistical competence, the pedagogical approaches in statistics have barely changed.

Seeing Theory is a project designed and created by Daniel Kunin with support from Brown University’s Royce Fellowship Program. The goal of the project is to make statistics more accessible to a wider range of students through interactive visualizations.

Using JavaScript, the researchers have made statistics both intuitive and beautiful at the same time.

seeing theory

Veritasium: Bayes’ Theorem explained

Veritasium makes educational video’s, mostly about science, and recently they recorded one offering an intuitive explanation of Bayes’ Theorem. They guide the viewer through Bayes’ thought process coming up with the theory, explain its workings, but also acknowledge some of the issues when applying Bayesian statistics in society.

“The thing we forget in Bayes’ Theorem is that our actions play a role in determining outcomes, in determining how true things actually are.” 8.23

“A really good understanding of Bayes’ Theorem implies that experimentation is essential: if you’ve been doing the same thing for a long time and getting the same result – that you’re not necessarily happy with – maybe it’s time to change.” 8.48

The video, see below, lasts around 9 minutes.

 

Multi-Armed Bandits: The Smart Alternative for A/B Testing

Just as humans, computers learn by experience.The purpose of A/B testing is often to collect data to decide whether intervention A or B is better. As such, we provide one group with intervention A whereas another group receives intervention B. With the data of these two groups coming in, the computer can statistically estimate which intervention (A or B) is more effective. The more data the computer has, the more certain the estimate is. Here, a trade-off exists: we need to collect data on both interventions to be certain which is best. But we don’t want to conduct an inefficient intervention, say B, if we are quite sure already that intervention A is better.

In his post, Corné de Ruijt of Endouble writes about multi-armed bandit algorithms, which try to optimize this trade-off: “Multi-armed bandit algorithms try to overcome the high missed opportunity cost involved in learning, by exploiting and exploring at the same time. Therefore, these methods are in particular interesting when there is a high lost opportunity cost involved in the experiment, and when exploring and exploiting must be performed during a limited time interval.

In the full article, you can read Corné’s comparison of this multi-armed bandit approach to the traditional A/B testing approach using a recruitment and selection example. For those of you who are interested in reading how anyone can apply this algorithm and others to optimize our own daily decisions, I highly recommend the book Algorithms to Live By: The Computer Science of Human Decisions available on Amazon or the Dutch bol.com.