A visual explanation of conditional probability

Posted to Statistics  |  Tags: , ,  |  Nathan Yau

Victor Powell, who has visualized the Central Limit Theorem and Simpson’s Paradox, most recently provided a visual explainer for conditional probability.

Two bars, one blue and one red, represent two events that can happen together or independently of the other. When a ball hits a bar the corresponding event occurs. What is the probability that one event occurs given that the other does and vice versa? If the probability of both events increases and decreases, how does that change the separate probabilities? Sliders and options let you experiment, and the visual and counters change to help you learn.

A fun one to tinker with.

Favorites

Divorce and Occupation

Some jobs tend towards higher divorce rates. Some towards lower. Salary also probably plays a role.

Life expectancy changes

The data goes back to 1960 and up to the most current estimates for 2009. Each line represents a country.

How We Spend Our Money, a Breakdown

We know spending changes when you have more money. Here’s by how much.

Reviving the Statistical Atlas of the United States with New Data

Due to budget cuts, there is no plan for an updated atlas. So I recreated the original 1870 Atlas using today’s publicly available data.