Subjective duration: A functional measurement analysis

Subjects judged the total duration of two intervals of time that varied from 0 to 30 sec. The data obeyed the parallelism prediction of a simple weighted adding model. According to functional measurement methodology, this observed parallelism provides joint support for the adding model and for the assumption that the graphic rating response provides a valid interval scale. Furthermore, parallelism allowed construction of the psychophysical time function. The obtained function was essentially linear in the range 0-30 sec. This result is compared with results of previous studies, with particular regard to the method of fractionation. The usefulness of establishing a validated interval response measure for further studies of time perception was pointed out.     

Subjective shortening in humans' memory for stimulus duration

Three experiments investigated memory for stimulus duration in humans using a modification of a delayed-matching technique previously used to study event memory in pigeons. In a session of 48 discrete trials subjects were presented with a sample stimulus (a 500-Hz tone with mean duration of 400 msec) then a comparison stimulus (the same duration as the sample, or longer or shorter), after a delay that was 1 to 10 sec in Experiments 1 and 2, and 2 to 16 sec in Experiment 3. After the comparison had been presented, subjects judged whether the sample and comparison had the same duration (a YES/NO decision, Experiment 1), or whether the comparison was longer, shorter, or of the same duration as the sample (Experiments 2 and 3). Overall, mean number of correct responses changed little with increases in the delay, but the change of number of correct responses with delay was markedly different on trials in which the sample and comparison were the same, the comparison was shorter, or the comparison was longer. In general, accuracy declined with increasing delay in the first case, remained constant in the second case, and increased when the comparison was longer than the sample. Examination of the types of errors made on the different sorts of trials (Experiment 3) suggested that the data were produced by two mechanisms: (1) subjective shortening of the sample as the delay between sample and comparison increased, and (2) a time-order error to respond that the sample was longer than the comparison. Overall, it appears that humans' working memory for duration exhibits a subjective shortening effect similar to that previously found in pigeons.     

Phenomenology and psychophysics

Recent philosophy of mind has tended to treat “inner” states, including both qualia and intentional states, as “theoretical posits” of either folk or scientific psychology. This article argues that phenomenology in fact plays a very different role in the most mature part of psychology, psychophysics. Methodologically, phenomenology plays a crucial role in obtaining psychophysical results. And more importantly, many psychophysical data are best interpreted as reporting relations between stimuli and phenomenological states, both qualitative and intentional. Three examples are used to argue for this thesis: the Weber–Fechner laws, the Craik-O’Brien–Cornsweet effect, and subjective contour figures. The phenomenological properties that play a role here do so in the role of data that ultimately constrain theoretical work (in this case theory of vision), and not as theoretical posits.     

Memory psychophysics

Summary The relationship between perceptual and cognitive processes has been a topic of increasing interest. This review focuses on the use of techniques and theory drawn from classical psychophysics and applied to the study of mental representation. Several issues including examination of the functions that relate remembered and perceived magnitude to physical intensity, the relationship of memorial to perceptual functions, the effect of time on the memorial function, considerations in the methodology of memory psychophysics experiments, the level of functional equivalence between memorial and perceptual representation, and the use of psychophysical techniques and theory in the study of visual imagery are addressed. While the data suggest that the relationship between remembered magnitude and physical intensity and between perceived magnitude and physical intensity can be described by power functions, a model capable of accounting for the behavior of the memory magnitude for all stimulus dimensions and at all time intervals has not yet been found. Several unresolved issues and typical difficulties with research in memory psychophysics are also discussed.     

Ibn al-Haytham and psychophysics

Persian scholar Ibn al-Haytham ('Alhazen') has rightly been credited with many advances in optics and vision science, but recent spurious claims that he is the 'founder of psychophysics' rest upon unsupported assertions, a conflation of psychophysics with the wider discipline of psychology, and semantic arguments over what it is to 'found' a school of thought.     

Animal psychophysics: improvements in the tracking method.

It is difficult to maintain stimulus control in animal psychophysical studies using the tracking method. Loss of stimulus control is characterized by wandering thresholds and responses in the absence of the stimulus. Rats were trained to make a variable number of licking responses to turn on an auditory stimulus. A response on a lever in the presence of the stimulus was reinforced with food. Two precedures were added to improve stimulus control. First, lever responses in the absence of the stimulus raised the intensity of the stimulus at the next presentation; second, rate of reinforcement in the threshold region was maintained at about the same level as that in the suprathreshold region by reducing the number of licking responses required to turn on the stimulus. Using these two procedures, stimulus control was improved and maintained and reliable auditory intensity thresholds were obtained.     

The psychophysics of imagery

A series of experiments considers the extent to which the interrelations among subjective magnitudes aroused by images corresponds to those for subjective magnitudes aroused by physical stimuli. In Experiment 1,68 undergraduates typed phrases in response to graded categories regarding the imagined magnitude of lights, sounds, and smells. In Experiment 2,5 undergraduates and, in Experiment 3, 3 graduate students then magnitude estimated the image intensity aroused by each of these stimulus phrases. In Experiments 4 and 5, the same subjects performed cross-modality matches between phrases arousing images for different attributes (light, sound, and smell). Statistical analysis indicates that estimates based on images display many of the same patterns as those based on physical stimuli. The major exception involves sequence effects, present for actual stimuli but not for images.     

The psychophysics of spending

Several theories of decision making are based, in part, upon the principles of psychophysics (Kahneman and Tversky, 1979; Thaler, 1985). For example, due to the psychophysics of quantity, the difference between $10 and $20 seems greater than the difference between $110 and $120. To determine whether psychophysics influences consumers' decisions, subjects in four studies made real or hypothetical purchases. It was predicted that as the size of the purchase increased, subjects would be more willing to buy additional smaller items. Small extra purchases should seem like minor expenditures when they follow larger purchases. Results of the four studies supported our hypothesis. In addition, it was found that subjects responded not only to actual changes in purchase size but also to changes in the presentation or framing of a purchase.     

The psychophysics of imagery

A series of experiments considers the extent to which the interrelations among subjective magnitudes aroused by images corresponds to those for subjective magnitudes aroused by physical stimuli. In Experiment 1, 68 undergraduates typed phrases in response to graded categories regarding the imagined magnitude of lights, sounds, and smells. In Experiment 2, 5 undergraduates and, in Experiment 3, 3 graduate students then magnitude estimated the image intensity aroused by each of these stimulus phrases. In Experiments 4 and 5, the same subjects performed cross-modality matches between phrases arousing images for different attributes (light, sound, and smell). Statistical analysis indicates that estimates based on images display many of the same patterns as those based on physical stimuli. The major exception involves sequence effects, present for actual stimuli but not for images.     

Virtual reality and the new psychophysics

Virtual reality (VR) promises methodological rigour with the extra benefit of allowing us to study the context-dependent behaviour of individuals in their natural environment. Pan and Hamilton (2018, Br. J. Psychol.) provide a useful overview of methodological recommendations for using VR. Here, we highlight some other aspects of the use of VR. Our first argument is that VR can be useful by virtue of its differences from the normal perceptual environment. That is, by virtue of its relative non-realism and poverty of its perceptual elements, it can actually offer increased clarity with respect to the features of interest for the researcher. Our second argument is that VR exerts its measurable influence more by eliciting an acceptance of the virtual world (i.e., ‘suspension of disbelief’) rather than by eliciting a true belief of the realism of the VR environment. We conclude by providing a novel suggestion for combining neuroimaging methods with embodied VR that relies on the suspension of disbelief.     

Stimulus programming in psychophysics

Summary and Conclusion The major thesis of this paper has been that one should choose a psychophysical method appropriate to the question which prompted the inquiry. It has been suggested that the method of constant stimuli, although not inappropriate for most questions, is by no means optimal for any particular question. A class of stimulus programming techniques called Markov designs has been briefly described. These have the principal advantage of using data as it is gathered to improve the selection of stimuli for the remainder of the experiment. This improvement is achieved by concentrating observations in the region of most interest. They are also reasonably easy to carry out and can be tailored to a wide range of experimental objectives, and pose no new problems in data analysis.Finally data analysis is discussed. It is pointed out that the question of which mathematical form to use in graduating the data is a minor one if the data are efficiently gathered and that, within reason, mathematical convenience is a good criterion. An advantage of the logistic function over the normal ogive is mentioned.Few of the ideas advanced here are new but many have not been appreciated fully by psychophysicists. The emphasis in this paper has been on the areas of sensitivity testing in which psychophysics has lagged behind best statistical practice, although it was pointed out that no efficient methods of analysis of the continuous response procedures have yet been devised by the statisticians. Better communication in both directions is clearly desirable.Operated with support from the United States Army, Navy, and Air Force.     

Subjective probability and delay.

Human subjects indicated their preference between a hypothetical $1,000 reward available with various probabilities or delays and a certain reward of variable amount available immediately. The function relating the amount of the certain-immediate reward subjectively equivalent to the delayed $1,000 reward had the same general shape (hyperbolic) as the function found by Mazur (1987) to describe pigeons' delay discounting. The function relating the certain-immediate amount of money subjectively equivalent to the probabilistic $1,000 reward was also hyperbolic, provided that the stated probability was transformed to odds against winning. In a second experiment, when human subjects chose between a delayed $1,000 reward and a probabilistic $1,000 reward, delay was proportional to the same odds-against transformation of the probability to which it was subjectively equivalent.     

Limulus psychophysics: dark adaptation in the ventral eye.

Sudden illumination applied to Limulus produces an unconditioned downward tail movement which is under stimulus control and can be used to measure psychophysical thresholds. The method of constant stimuli was used to measure the behavioral dark-adaptation function mediated by the ventral eye of Limulus. The resulting function has two phases, each of which is rectified when log threshold is made a function of long time in the dark. Under the conditions of the present experiment, the transition between the two phases occurred at 6 min. This psychophysical dark-adaptation function has the same form as an electrophysiologic dark-adaptation function obtained by Fein and DeVoe (using the ventral eye receptor potential as the response). In more complex visual systems such two-phase, dark-adaptation functions would usually be interpreted in terms of screening pigment movements or changes in the neural contributions of different receptor classes, but neither interpretation is appropriate for the ventral eye of Limulus.     

Fechner's "inner psychophysics"

Though psychologists are generally aware that Gustav Fechner introduced psychophysics and set down its essential methodology, most of them only know about the part that Fechner called "outer psychophysics." In his classic publication of 1860, Fechner insisted that "inner psychophysics" was more important, yet this aspect of Fechner's work failed to receive any attention. The article reviews Fechner's presentation of inner psychophysics and suggests reasons why that part of his work was neglected and has been forgotten.