My explanation/analogy for explaining analyzed titles, aka analytics to new staff:
You and your sister share the same DNA (bibliographic information), but you do not share the same last name because she is married and changed her name. Analytics are kind of like that -- they are individual people FIRST (so we catalog them on a mono record), but then to tie them to their families we give them a new last name (in the case of books -- call numbers and series statement). In the case of AM (analyzed monograph)/AS (analyzed serial) especially, the SAR (Series Authority Record) works as a family tree saying these belong together and we give them the same last name. I know the family analogy is not perfect, but it's the best we've come up w/ to discuss analytics.