When I'm down to a position where my loss looks inevitable I resign. To me if I continue its dishonorable. If your opponents rating is way low, and they don't have to skill level to finish you off that's one thing. But if their rating is high enough to reliably do the job? Then it just looks like you are saying that you don't think they are good enough. Or that its just cry baby stuff. Wah! I'm losing but I'll draw this out senselessly to irritate you.
I don't understand why, if someone is winning, they would be irritated. Maybe if someone is irritated at having a winning position it might be because it's unfamiliar to them. They may not know what to do next. This would be a good time to not resign.
Besides, the very objective of chess is checkmate. The rules of the game, or any online description define the objective of chess as being checkmate. It's usually within the first couple sentences.
In my experience the best time to resign is after the checkmate, rarely before it.
When I'm down to a position where my loss looks inevitable I resign. To me if I continue its dishonorable. If your opponents rating is way low, and they don't have to skill level to finish you off that's one thing. But if their rating is high enough to reliably do the job? Then it just looks like you are saying that you don't think they are good enough. Or that its just cry baby stuff. Wah! I'm losing but I'll draw this out senselessly to irritate you.