In Experiment 1, base-out prisms were used to alter perceived size and distance to a luminous rod and frame while the retinal size remained unchanged. The rod-and-frame effect (RFE) was the same, whether the display was viewed directly or through the prisms. In Experiment 2, one large and one small rod-and-frame display were placed at distances such that they produced identical retinal angles. This was replicated at three different sets of distances. Perceived size and distance of the large and small frame of identical retinal angle interacted with the observation distance, such that at near distances the large frame was perceived as larger and farther than the small frame while, at far distances, both types of estimates converged to a constant value. In contrast, the RFE was identical for the large and small frames matched in retinal angle, but diminished with distance. In both experiments, the RFE varied precisely with variation in retinal angle. Implications of the role of retinal angle in the RFE and for the interpretation of individual differences were discussed.Previous research (Ebenholtz & Benzschawel, (1977) has established that the magnitude of the rod-and-frame effect (RFE), first investigated by Witkin and Asch (1948), is greatly influenced by the distance between the observer and the luminous frame. Within a range from 1 to 5 m, the RFE approximated a linear inverse function of distance with essentially no RFE at all at 5 m. The question examined in the present paper concerns the mechanisms that conceivably underlie this result.With increasing distance between the visual display and the subject, three changes occur, each of which could, in principle, cause the reduction in RFE. First, the retinal size of the pattern will vary inversely with distance and, assuming that subjects tend to direct their focus toward the center of the frame, there will result a shift in retinal stimulation from peripheral to foveal. Either one or both of these retinal factors, i.e., the size change or the shift to foveal viewing, could contribute to the reduction in magnitude of the RFE. Second, changes in distance, especially within a few meters, will be accompanied by changes i'n apparent distance and, third, at distances beyond about 2 m size constancy, based solely upon the cues of convergence and accommodation, will begin to fail (Leibowitz & Moore, 1966), with the consequence that detectable changes in apparent size will occur. Thus, changes in retinal size, apparent distance, or apparent size, singly or jointly, may be responsible for the effects of distance on the RFE.The research was supported in part by Grant MH 13006. The author is grateful to Jonathan Beers for his aid in directing subjects in Experiment I and to Judith Callan for directing Experiment 2 and for data analysis.
531The following studies explore these possibilities. In Experiment 1, the RFE, obtained when viewing through a pair of base-out prisms, was compared with the RFE determined under normal nonprism viewing. By increasing convergence, the rod...