Double imputation is a big word that means something like "guessing twice." Imagine that you have a big puzzle with many missing pieces that you want to complete. But you don't have a picture of what the puzzle should look like. And you can't find all the missing pieces. What do you do?
Well, double imputation is a way of guessing what the missing pieces might look like by using other information you have. For example, if you have some pieces from another puzzle that look similar to the missing pieces, you might put them in place and try to fill in the gaps. This is called imputation.
But what happens if you're not sure if those other puzzle pieces are the right ones? That's where double imputation comes in. You might try to guess what the missing pieces look like based on other information you have, but then you also guess again using different information that might give you a better idea of what the pieces should look like.
So, double imputation is basically guessing twice to try to make a better guess. It's like trying to fill in the missing pieces of a puzzle by using all the clues you have, and then guessing again to see if you can get a better idea of what the puzzle should look like.