A comprehensive taxonomy and structure of Lithuanian personality-descriptive terms

•Lithuanian psycholexical study supports the Big Five in the self-rating data set.•Self-rating data supports HEXACO dimensions after re-rotating three factors.•The best fit for the peer-ratings is four-factor structure.•Lexical structures with fewer factors have a better replicability among languages.•The more complex factor solution is, the more self vs peer-rating structures differ.