The Collaborative International Dictionary of English v.0.48:

Romajikai \Ro"ma*ji*ka`i\, n. [Jap. r[=o]majikai, Roman
   character association.]
   An association, including both Japanese and Europeans, having
   for its object the changing of the Japanese method of writing
   by substituting Roman letters for Japanese characters. Laso
   known as Hyojun Romajikai.
   [Webster 1913 Suppl. +PJC]