Substantial research suggests that inequality in life chances in the U.S. is legitimated through the equity principle. Some authors have suggested that variation in agreement with the equity principle corresponds to stratification position. Della Fave has argued that equality counternorms may form a potential threat to the self-reinforcing character of equity norms. This article develops measurement models for both equity norms and equality counternorms and examines the effects of ascribed and acquired life-chance positions on equity and equality attitudes. Nonrecursive models that examine the influence of the two attitudes on each other are tested as well. Equality counternorms are strongly related to ascribed and acquired life-chance positions. Equity norms are indeed undermined, though weakly, by equality counternorms.