1. Medlock, M. C., Wixon, D., Terrano, M., Romero, R., & Fulton, B. (2002). Using the RITE method to improve products: A definition and a case study. Usability Professionals Association (UPA) 2002 Conference Proceedings. In Section "The RITE Method Defined," the authors state, "The key to this method is the decision to fix problems as soon as they are identified and to verify the effectiveness of the fix with the very next participant."
2. Sauro, J., & Lewis, J. R. (2016). Quantifying the User Experience: Practical Statistics for User Research (2nd ed.). Morgan Kaufmann. In Chapter 1, Section "Formative Evaluation," the RITE method is described as one where "problems are fixed as soon as they are identified and verified with the next participant(s)."
3. Rubin, J., & Chisnell, D. (2008). Handbook of Usability Testing: How to Plan, Design, and Conduct Effective Tests (2nd ed.). Wiley. Chapter 2 discusses iterative testing, explaining that "the team makes changes to the user interface... and then tests the revised version with more participants," which is the foundational concept of RITE.