In Game of thrones, each house seems to have a common trait among the family, for example:

    Does Lannister imply intelligence?
They show Tyrion and Ceresi thinking intelligently and taking intelligent measures
    
    Does Stark mean honour and loyalty?
  eg: Eddard and Robb 
    
    Does Baratheon mean foolish and incapable?
 eg: Stannis and Robert

    Does Targaryen  mean power and potential?
   eg: The Khaleesi

Is that True? or What does each group mean?