Propensity score matching is like trying to find a friend who likes the same things as you do. When you want to make a new friend, you look for someone who has similar interests to you, right? It's kind of like that in science, too! Scientists want to compare two groups of people (or things), but they want to make sure that the two groups are as similar as possible so that they can tell if something they're examining is really different between the groups, or if it's just because the people in one group were really different from those in the other.
So, scientists do this thing called "propensity score matching." Basically, they look at a bunch of different characteristics that they think might be important to the study they're doing. Things like age, gender, height, weight, and other stuff. Then they use those things to create a "score" for each of the people they're studying.
Once they have these scores, they try to match people up from the two groups who have similar scores. They do this to make sure that the two groups are as similar as possible, so that they can better compare the thing they're interested in.
It's kind of like putting puzzle pieces together – you're trying to find two pieces that fit together perfectly. In this case, the pieces are people and their scores, and if the scores are similar, that means the people are, too! By doing this, scientists can feel more confident that when they compare the two groups, any difference they find is really because of the thing they're studying, and not just because the groups were different in other ways.