self-centeredness vs self-conceit

self-centeredness

noun
  • The state, quality, or condition of being self-centered; concern only for oneself 

self-conceit

noun
  • Conceit of oneself; an overweening opinion of one's own powers or endowments; vanity. 

How often have the words self-centeredness and self-conceit occurred in a corpus of books? (source: Google Ngram Viewer )