Notification display on screen

[BlindRacer]

I see a lot of people asking how to disable the notification and such, but I want the little window that pops up to stay up for a longer period of time. It seems that by the time I get to it and read the message, the box goes away. I'd like it to stay on the screen until I want it to go (by responding, or saving as read and such).

Any way to do this?