Earlier quoted context omitted.
This seems ripe for placebo. Installing purifier and indeed measuring lower PM, means naturally you feel less worried and more relaxed!
On the other hand, measuring lower PM is indeed a quantifiable metric.
1. Does my air purifier filter out PM2.5?
or
2. Dos lower PM2.5 make me sleep better?
For #1 there is no placebo effect (there is no human element!)