Psychometric functions and the associated indices of discriminative performance (i.e., the point of subjective equality [PSEl, just noticeable difference, and Weber fraction) were obtained with the method of constant stimuli using perceptual and remembered line-length standards. Three important results were obtained. First, comparisons with a perceptual or a remembered standard were sensitive to variations of absolute stimulus differences with a common ratio; that is, Weber's law was violated. Second, relative to discriminative performance with the longest and shortest remembered standards, comparisons involving mid-range remembered standards displayed increased variability in the PSE and inflated Weber fractions, characteristic of a reduction in the quality of the memorial representation. Finally, large and negative time-order errors (TOE) were observed for successive line judgments but not for those involving remembered standards. The implications of these findings for research concerned with the relationships between perception and memory, as well as the TOE phenomenon, are discussed. Woodworth (1938), in the first chapter of his classic text, .. Experimental Psychology," concludes:The experimental results are in good agreement on the negative conclusion: No absolute difference exists between an image and a percept, and there is 110 sure criterion by which one can be distinguished from the other. (p. 45) Following the recent resurgence of interest in the relationships between perception and memory, Woodworth's (1938) negative conclusion can be viewed more positively. Several findings, based on the application of traditional psychophysical methods to remembered stimuli, have revealed important commonalities between perception and memory, and these commonalities permit a characterization of their shared processes and properties (see Finke, 1980Finke, , 1985Finke & Shepard, 1985;Kosslyn, 1980; Shepard, 1984, for reviews). Shepard and Chipman (1970) originally provided the elegant demonstration of a ••second-order isomorphism" between perception and memory, derived from a multidimensional scaling analysis of perceived and remembered representations of the shapes of the U.S. states. Similarly, several experiments using magnitude estimates (Stevens, 1957) of perceived and remembered stimuli have demonstrated an important psychophysical relationship on various continua (e.g., Bjorkman, Lundberg, & Tarnblom, 1960;Bradley & Vido, 1985;Chew & Richardson, 1980;Kerst & Howard, 1978;Moyer, Bradley, Sorensen, Whiting, & Mansfield, 1978). In each case, the perceived and remembered magnitude estimates were power functions This research was supported by a grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada to W.M.P. We thank Robert Proctor and three anonymous reviewers for their helpful comments. Correspondence can be addressed to either author at the Department of Psychology, Carleton University, Colonel By Drive, Ottawa, ON, Canada KIS 586. of the physical magnitudes with related expon...