The phrase "poor analogy" means that when someone tries to compare two things, their comparison is not accurate, effective, or logical. Full definition
That's a pretty poor analogy — if you were competing with your neighbour in e.g. a gardening competition and your neighbour had an amazing array of flowers and all you had was weeds, even if you preened them it is pretty obvious who would win... common sense. (justarsenal.com)
(I am no US Politics erudite so please forgive my perhaps poor analogy to get the point across that everything is relative...) (sbnation.com)
I've already admitted that my use of having to say the Pledge of Allegiance (National Anthem) was a poor analogy — especially given where it is you live. (nakedpastor.com)