The WWII Origin of ROC

Did you know the origins of ROC go back to World War II and its role in saving cities from German Bombers?

I didn’t. For a very long time.

All the lectures and tutorials I went through to understand 𝗥𝗢𝗖 Curves left me with one nagging question: why is it called “𝗥𝗲𝗰𝗲𝗶𝘃𝗲𝗿 𝗢𝗽𝗲𝗿𝗮𝘁𝗶𝗻𝗴 𝗖𝗵𝗮𝗿𝗮𝗰𝘁𝗲𝗿𝗶𝘀𝘁𝗶𝗰”? It’s a weird name for a plot.

So one day, I decided to go down the rabbit hole to find the story behind its name and this is the story that I unraveled.

During WWII, radar operators had to decide if a blip on their screen was a German bomber, a friendly plane, or just noise. The stakes were sky-high.

So, the engineers were given the task to analyze and improve the accuracy of these classifications. The engineers began to plot the trade-off between the rate of correctly detecting a target and the rate of falsely identifying noise as a target.

Slowly they standardized this process as a way to describe the “characteristic” of an operator’s ability to adjust the receiver and distinguish signal from noise.

That’s how the term “𝗥𝗲𝗰𝗲𝗶𝘃𝗲𝗿 𝗢𝗽𝗲𝗿𝗮𝘁𝗶𝗻𝗴 𝗖𝗵𝗮𝗿𝗮𝗰𝘁𝗲𝗿𝗶𝘀𝘁𝗶𝗰” was coined and its long hold and relevance continues till today and beyond.

So next time when you’re plotting a 𝗥𝗢𝗖 curve to identify the right cut-off threshold for your classification model, don’t forget this 𝗦𝗵𝗼𝗿𝘁 𝗧𝗮𝗹𝗲 𝗼𝗳 𝗦𝘁𝗮𝘁𝘀 behind its origin.

Sources:
- ROC Analysis: Key Statistical Tool for Evaluating Detection Technologies
- Understanding ROC curves