When Ginger Rogers and Katharine Hepburn talk in their room in the beginning, Rogers says the girls can't speak proper English, they only speak pig latin. Rogers famously sings a verse in pig latin in 'Gold Diggers of 1933'.
Anne's opening speech in "A Preponderance of Artichokes" spoofs Terry Randall's (Katherine Hepburn's character) opening line of her broadway debut in Stage Door.