McAfee, E., & Proffitt, D. (1991). Understanding the surface orientation of liquids. Cognitive Psychology, 23(3), 483–514.
Numerous studies have found that approximately 40% of the adult population behave as if they do not know that water remains horizontal, regardless of the orientation of its container. In the present set of experiments, it was shown that subjects who perform inaccurately do so because they have misrepresented the problem. These individuals are not answering the environment-relative question, “What should the water's surface orientation be relative to the environment?” Instead, they attempt to solve an object-relative problem, “How should water incline relative to its tilted container?” It was shown that subjects' problem representations can be influenced by manipulating the manner in which the problem is presented, and that performance is affected accordingly. Experiment 1 was a pretest, designed primarily to identify individuals who perform correctly or incorrectly on the traditional paper-and-pencil task. Experiment 1 also demonstrated that by promoting an object-relative perspective, a majority of subjects can be induced into performing incorrectly on the water level problem. Experiment 2 found that when individuals were led to evaluate the problem from an environment-relative perspective, they performed accurately, regardless of their performance in Experiment 1. Experiment 3 found that subjects who performed incorrectly on the paper-and-pencil problem are not simply more variable than those who are accurate, but rather that the object-relative perspective creates a bias toward drawing liquid surface orientations that incline in the same direction as the tilt of the container. Experiment 4 found that the response bias observed in Experiment 3 is the result of a frame of reference perceptual influence. The orientation of the surrounding container affects the apparent tilt of the liquid surface. In summary, it was shown that people fail on the water level problem, not because they are lacking the relevant knowledge, but rather because they are attempting to solve a different problem—a problem represented in an objectrelative, as opposed to an environment-relative coordinate system. Moreover, object-relative solutions manifest a perceptual bias that is inherent in all people.