big-headedness vs egotism

big-headedness

noun
  • The state or quality of being big-headed. 

egotism

noun
  • A belief that one is superior to or more important than others. 

  • The result or product of being egoistic. 

  • Egoism (belief that behavior should be directed towards one's self-interest). 

  • A tendency to talk excessively about oneself. 

How often have the words big-headedness and egotism occurred in a corpus of books? (source: Google Ngram Viewer )