Sometimes people will talk about how Google results are still better than those provided by DuckDuckGo. This is often why they are hesitant to switch. There's usually not any data to back it up, though, more of a vague feeling that Google has better results. I use DDG on a daily basis, and I'm endeavoring to record the results pages below which force me to use Google to get what I want.
Here's one where I tried to search up "approximate independence", i.e. how to get independent samples, or something close to it.
You can see the DDG results on the left and the Google results on the right. DDG clearly has some irrelevant results, like a unversity page and, oddly enough, a video game listing. On the other hand, Google even provides helpful Math StackExchange, which seems exactly like what I need.
For this one, I was trying to find a specific paper written by one of my professors. You can see that DDG can't even find the paper, while Google instantly offers up several links.
Once again, I'm trying to find a specific chapter in a statistics book. DDG can't find the paper, while Google has it as the first result.
This time, I'm looking for information about RSS, and I get information about India's current party. Although, to be fair, maybe that does get more hits then the feed protocol.
Great. I'm trying to figure out how to verify whether Signal, the messaging app, has the source code it claims. While DDG does link to Signal, it doesn't have the bit about reproducible builds, which Google has helpfully included.