Look, it’s Anscombe’s quartet on steroids!

Q: What is Anscombe’s quartet?

A: Anscombe’s quartet is a set of four datasets, each with 11 observations on two variables x and y, that all have (nearly) identical descriptive statistics but appear very different when graphed. The datasets all have approximately the same means (for both X and Y), variances (for both X and Y), correlations, linear regression lines, and coefficients of determination. But they look like this when graphed:

(Wiki source)

The idea behind the quartet of datasets, developed by Francis Anscombe in 1973, was to demonstrate the importance of graphing/visualizing your data in addition to just looking at its summary values.

One thing that’s not known about these datasets is exactly how Anscombe created them. But a 2017 paper titled “Same Stats, Different Graphs: Generating Datasets with Varied Appearance and Identical Statistics through Simulated Annealing” shows a method for creating differently “shaped” datasets that all have the same summary values. In this paper, the “Datasaurus Dozen” are produced: a set of 12 differently-shaped datasets (when graphed) that have the same summary stats. The paper talks about a method used to create these datasets.

It’s super cool and very interesting. Check it out here!

What sayest thou? Speak!

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: