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The relation between the generalized matching law and signal-detection theory.

The generalized matching law can be applied to a signal-detection matrix to give two equations. The first relates responding in the presence of the stimulus to the reinforcements for the responses, and the second relates responding in the absence of the stimulus to the reinforcements for the responses. Evidence for stimulus discrimination is given by biases that are opposite in sign in the two equations. As the logarithmic ratio and z proportion transformations are similar, the combination of the absolute values of the two logarithmic biases gives a measure equivalent to the signal-detection measures d' and eta. The two equations can also be combined to eliminate the biases caused by the signalling stimuli and to produce a generalized matching-law statement relating overall performance to the obtained reinforcements.

Journal Article↗

Vector magnitude operation in color vision models: derivation from signal detection theory.

Using the theory of signal detection, we have derived an expression for the detectability of a visual stimulus in terms of the general zone theory of color and brightness vision. This derived relationship elicidates the theoretical foundation of the Guth vector model for color vision by showing that the nonlinear vector magnitude operation used by Guth may arise from the observer decision-making process. Testable predictions of stimulus detectability are generated by the derived expression.

Color Perception↗

Signal detection comparisons of phonemic and phonetic priming: the flexible-bias problem.

The phonemic priming effect may reflect the hidden dynamics of spoken word perception and has thus been a key topic of recent research. This investigation compared phonemic and phonetic priming (cf. Goldinger, Luce, Pisoni, & Marcario, 1992), using signal detection methods. Although these methods were intended to provide separate indices of sensitivity and bias changes, the results were more complex. Instead, phonemic priming engendered a flexible, trial-specific strategy that affected hits and false alarms (and thereby altered sensitivity) but also created behavioral changes indicative of a bias. Together with previous research, the results suggest that phonemic priming data must be interpreted with caution, and they underscore the limitations of signal detection analyses in priming research (Norris, 1995). However, if a researcher can anticipate the likely form a bias will assume, signal detection methods can reveal priming effects.

Humans↗

Evoked potential correlates of response criterion in auditory signal detection.

The amplitude of a late positive component of the average evoked potential recorded from the human scalp varied systematically as a function of the observer's response criterion as defined within the context of signal detection theory. With signal intensity invariant, the P(3), component of the evoked potential increased monotonically with increasing strictness of the criterion. The results are viewed as supporting the signal detection theory approach to the analysis of discrimination behavior as well as providing further evidence of the sensitivity of P(3) to the manipulation of psychological variables.

Auditory Perception↗

An empirical test of signal detection theory as it applies to Batesian mimicry.

Signal detection theory (SDT) has been repeatedly invoked to understand how palatable prey might gain an advantage by resembling unpalatable prey. Here we developed an experimental test of the theory in which we sequentially presented computer-generated Mimics (profitable to attack) and Models (unprofitable to attack) to human volunteers, and asked them to forage in a way that maximized their personal scores. Both the Mimics and Models exhibited normally distributed variation in a single stimulus dimension. When we varied the mean similarity of Mimics to Models, and the proportion of all prey items that were Mimics, our human predators made foraging decisions that were close to those predicted by SDT, including the adoption of a threshold in appearance beyond which prey items were unlikely to be attacked. The fit of predictions to observations was marginally closer when including the time taken to handle the two types of prey. When Mimics and Models were allowed to evolve in appearance subject to selection, the evolutionary trajectory fitted the predictions of SDT closely. While our system was not appropriate to test all predictions of recent SDT theory, it provides strong support for the SDT framework as it applies to Batesian mimicry.

Adaptation, Biological↗

Signal detection in digital chest-phantom images acquired with an image intensifier.

Signal detection performance was evaluated on the basis of ROC analysis using both digital and conventional images of a humanoid chest phantom. Simulated focal (coin) lesions were the target pathology. Digital images were acquired using a 57-cm image intensifier, digitized to 1024 x 1024 x 10 bits, and compared, in both video and laser-printed film formats, with conventional 14 x 17-inch chest films. Signal detection using digital video and laser printed images, of the same image polarity as conventional images, was found not to differ significantly from that achieved using conventional images, despite the smaller size of the digital images.

Humans↗

Visual signal detection in structured backgrounds. II. Effects of contrast gain control, background variations, and white noise.

Studies of visual detection of a signal superimposed on one of two identical backgrounds show performance degradation when the background has high contrast and is similar in spatial frequency and/or orientation to the signal. To account for this finding, models include a contrast gain control mechanism that pools activity across spatial frequency, orientation and space to inhibit (divisively) the response of the receptor sensitive to the signal. In tasks in which the observer has to detect a known signal added to one of M different backgrounds grounds due to added visual noise, the main sources of degradation are the stochastic noise in the image and the suboptimal visual processing. We investigate how these two sources of degradation (contrast gain control and variations in the background) interact in a task in which the signal is embedded in one of M locations in a complex spatially varying background (structured background). We use backgrounds extracted from patient digital medical images. To isolate effects of the fixed deterministic background (the contrast gain control) from the effects of the background variations, we conduct detection experiments with three different background conditions: (1) uniform background, (2) a repeated sample of structured background, and (3) different samples of structured background. Results show that human visual detection degrades from the uniform background condition to the repeated background condition and degrades even further in the different backgrounds condition. These results suggest that both the contrast gain control mechanism and the background random variations degrade human performance in detection of a signal in a complex, spatially varying background. A filter model and added white noise are used to generate estimates of sampling efficiencies, an equivalent internal noise, an equivalent contrast-gain-control-induced noise, and an equivalent noise due to the variations in the structured background.

Contrast Sensitivity↗

Visual signal detection. III. On Bayesian use of prior knowledge and cross correlation.

Experimental results are presented demonstrating that humans can make effective use of prior knowledge for detecting and identifying visual signals in static noise. The signals were selected from an orthogonal Hadamard set. There was a marked drop in detection performance when observers did not know which signal was present. The drop was in excellent quantitative agreement with that predicted by the theory of signal detectability. The statistical efficiency of the human observers was 33% in both cases (detection with and without prior knowledge). When interpreted in terms of channel uncertainty, the detection results demonstrated an upper limit of 10 orthogonal, uncertain channels. The statistical efficiency for the Hadamard signal-identification task was 40%. All the results are consistent with the standard theory of signal detectability based on a Bayesian maximum a posteriori probability decision strategy using cross correlation (or matched filtering) of expected signal profiles with those present in the display.

Attention↗

An analysis of signal detection and threshold models of source memory.

The authors analyzed source memory performance with an unequal-variance signal detection theory model and compared the findings with extant threshold (multinomial and dual-process) models. In 3 experiments, receiver operating characteristic (ROC) analyses of source discrimination revealed curvilinear functions, supporting the relative superiority of a continuous signal detection model when compared with a threshold model. This result has implications for both multinomial and dual-process models, both of which assume linear ROCs in their description of source memory performance.

Adolescent↗

The application of signal detection theory to decision-making in forensic science.

Signal Detection Theory (SDT) has come to be used in a wide variety of fields where noise and imperfect signals present challenges to the task of separating hits and correct rejections from misses and false alarms. The application of SDT helps illuminate and improve the quality of decision-making in those fields in a number of ways. The present article is designed to make SDT more accessible to forensic scientists by: (a) explaining what SDT is and how it works, (b) explicating the potential usefulness of SDT to forensic science, (c) illustrating SDT analysis using forensic science data, and (d) suggesting ways to gain the benefits of SDT analyses in the course of carrying out existing programs of quality assessment and other research on forensic science examinations.

Decision Making↗

Warning signal detection and the acoustic environment of the motorcyclist.

A two-part study was undertaken to investigate warning signal detection by motorcyclists. First the acoustic environment was established for both the helmeted and bareheaded rider between speeds of 0 and 100 mph. For the helmeted rider it was found that below 20 mph vehicle noise was dominant and between 20 and 40 mph there was a variable contribution from both vehicle and wind noise. At 40 mph wind noise became the dominant sound source and increased linearly with the log10 of speed from 90 dB(A) to reach 112 dB(A) at 100 mph. Sound levels were consistently 18 dB(A) greater for the bareheaded rider once above 10 mph, and followed a similar pattern. Recordings of these sounds were sampled into an Amiga computer. Suitable sound combinations were played back at levels appropriate to speed to recreate the rider's acoustic environment at differing speeds. The minimum detection level (MDL) of four traffic warning signals was then measured in 19 normal hearing subjects for three test conditions: no helmet, helmet and helmet with earplugs. The MDL for all warning signals was lowest with a crash helmet in place for sound levels equivalent to speeds of 30 mph or less. The addition of earplugs led to significant reductions in MDLs at sound levels equivalent to speeds of 40 mph, or greater. Signal detection was poorest at all speeds greater than 0 mph, when bareheaded. We would conclude that earplugs are not required for motorcyclists in the urban environment.(ABSTRACT TRUNCATED AT 250 WORDS)

Accident Prevention↗

Clinical correlates of high-intensity transient signals detected on transcranial Doppler sonography in patients with cerebrovascular disease.

BACKGROUND AND PURPOSE: High-intensity transient signals detected by transcranial Doppler sonography have been associated with particulate cerebral emboli. Their clinical correlates are poorly understood. This study was undertaken to assess their relation to cerebral ischemia and to determine whether the severity of cerebral arterial stenosis has an impact on their occurrence. METHODS: We studied 96 arteries in 75 consecutive patients with extracranial or intracranial arterial lesions or potential cardiac sources of cerebral embolism. Sixty patients had histories of cerebral or retinal transient ischemic attacks or infarcts, and 15 were asymptomatic. The diagnosis of ischemia was based on the clinical presentation and was supported by extensive laboratory testing. A transcranial Doppler sonography unit equipped with special software for emboli detection was used. Signals were selected based on criteria established a priori. RESULTS: Signals were detected in the territories of 28.3% of symptomatic and 11.6% of asymptomatic arteries. The difference was significant (P = .045). When patients with suspected cardiac embolic sources were excluded, the difference between symptomatic (27.9%) and asymptomatic (2.9%) arteries remained significant (P = .003), and signals were more frequent distal to arteries with more than 50% area stenosis (23.5%) than arteries with stenoses equal to or less than 50% (3.7%) (P = .028). In patients with only extracranial internal carotid artery stenoses, the difference between these degrees of stenosis remained significant (P = .043). CONCLUSIONS: We conclude that high-intensity transient signals are significantly more common in the territories of symptomatic arteries and distal to lesions causing more than 50% stenosis. These findings may have diagnostic and therapeutic applications.

Adult↗

Statistical properties of radio-frequency and envelope-detected signals with applications to medical ultrasound.

Both radio-frequency (rf) and envelope-detected signal analyses have lead to successful tissue discrimination in medical ultrasound. The extrapolation from tissue discrimination to a description of the tissue structure requires an analysis of the statistics of complex signals. To that end, first- and second-order statistics of complex random signals are reviewed, and an example is taken from rf signal analysis of the backscattered echoes from diffuse scatterers. In this case the scattering form factor of small scatterers can be easily separated from long-range structure and corrected for the transducer characteristics, thereby yielding an instrument-independent tissue signature. The statistics of the more economical envelope- and square-law-detected signals are derived next and found to be almost identical when normalized autocorrelation functions are used. Of the two nonlinear methods of detection, the square-law or intensity scheme gives rise to statistics that are more transparent to physical insight. Moreover, an analysis of the intensity-correlation structure indicates that the contributions to the total echo signal from the diffuse scatter and from the steady and variable components of coherent scatter can still be separated and used for tissue characterization. However, this analysis is not system independent. Finally, the statistical methods of this paper may be applied directly to envelope signals in nuclear-magnetic-resonance imaging because of the approximate equivalence of second-order statistics for magnitude and intensity.

Humans↗

Physical fatigue and the perception of differences in load: a signal detection approach.

Workload is an important factor related to perception of physical fatigue. Because a person engaged in physical activity eventually leading to painful exhaustion is in a pay-off situation, the paradigm of signal detection might be applicable to the perception of differences in load. Two male track and field athletes, aged 22 and 24 yr., participated in two experiments. In Exp. 1 difference threshold were determined with 25%, 50%, 60%, 65% and 70% of VO2 max as basic loads on a bicycle ergometer. Results showed a decreasing k over increasing work loads, contrary to Weber's law. In Exp. 2 a non-parametric signal detection procedure was used, with 25%, 40%, 50% and 60% of VO2 max as noise levels and a signal intensity of 1.5 watt in every condition. A chi 2 test for a 2-factor design showed only an effect of noise level. The converging results of both experiments led to the conclusion of a relative increasing sensitivity across increasing work loads. The main goal for future research will be to develop the signal detection method as a framework for research on fatigue.

Acoustic Stimulation↗

Phenothiazine effects on auditory signal detection in paranoid and nonparanoid schizophrenics.

The differential effects of phenothiazine medication on auditory signal detection performance were compared in two types of schizophrenic subjects and in normal subjects. With increasing phenothiazine dosage a decrease in efficiency of signal detection performance occurred among nonparanoid schizophrenics and an increase in efficiency occurred among paranoid schizophrenics. These and related findings were interpreted in terms of differences in neuropsychological response and information processing characteristics in the two types of schizophrenics. The primary deficit in information processing in nonparanoid schizophrenics may be related primarily to their hypersensitivity to sensory stimuli, whereas in paranoids it may be related primarily to their impaired focusing of attention. Phenothiazines appear to decrease sensitivity to stimuli in nonparanoids but increase the ability to focus attention in paranoids. The possibility of treatment regimens which take into account the differential effects of phenothiazine medication was suggested.

Adult↗

Stochastic resonance improves signal detection in hippocampal CA1 neurons.

Stochastic resonance (SR) is a phenomenon observed in nonlinear systems whereby the introduction of noise enhances the detection of a subthreshold signal for a certain range of noise intensity. The nonlinear threshold detection mechanism that neurons employ and the noisy environment in which they reside makes it likely that SR plays a role in neural signal detection. Although the role of SR in sensory neural systems has been studied extensively, its role in central neurons is unknown. In many central neurons, such as the hippocampal CA1 cell, very large dendritic trees are responsible for detecting neural input in a noisy environment. Attenuation due to the electrotonic length of these trees is significant, suggesting that a method other than passive summation is necessary if signals at the distal ends of the tree are to be detected. The hypothesis that SR plays an important role in the detection of distal synaptic inputs first was tested in a computer simulation of a CA1 cell and then verified with in vitro rat hippocampal slices. The results clearly showed that SR can enhance signal detection in CA1 hippocampal cells. Moreover, high levels of noise were found to equalize detection of synaptic signals received at varying positions on the dendritic tree. The amount of noise needed to evoke the effect is compared with physiological noise in slices and in vivo.

Algorithms↗

Type 2 tasks in the theory of signal detectability: discrimination between correct and incorrect decisions.

It has been known for over 40 years that there are two fundamentally different kinds of detection tasks in the theory of signal detectability. The Type 1 task is to distinguish between events defined independently of the observer; the Type 2 task is to distinguish between one's own correct and incorrect decisions about those Type 1 events. For the Type 1 task, the behavior of the detector can be summarized by the traditional receiver operating characteristic (ROC) curve. This curve can be compared with a theoretical ROC curve, which can be generated from overlapping probability functions conditional on the Type 1 events on an appropriate decision axis. We show how to derive the probability functions underlying Type 2 decisions from those for the Type 1 task. ROC curves and the usual measures of performance are readily obtained from those Type 2 functions, and some relationships among various Type 1 and Type 2 performance measures are presented. We discuss the relationship between Type 1 and Type 2 confidence ratings and caution against the practice of presenting transformed Type 2 ratings as empirical Type 1 ratings.

Cues↗

Characterizing tolerance to trichloroethylene (TCE): effects of repeated inhalation of TCE on performance of a signal detection task in rats.

Previous work showed that rats develop tolerance to the acute behavioral effects of trichloroethylene (TCE) on signal detection if they inhale TCE while performing the task and that this tolerance depends more upon learning than upon changes in metabolism of TCE. The present study sought to characterize this tolerance by assessing signal detection in rats during three phases of TCE exposures. Tolerance was induced in Phase 1 (daily 1-h test sessions concurrent with TCE exposure), extinguished in Phase 2 (daily tests in air with intermittent probe tests in TCE), and reinduced in Phase 3. Original induction in Phase 1 required 2 weeks, whereas reinduction in Phase 3 required less than 1 week. Tolerance persisted for 2 (accuracy) or 8 weeks [response time] in Phase 2 and was resistant to changes in test conditions in Phase 3. The slow induction, gradual extinction, savings during reinduction and lack of disruption from altered test conditions suggest mediation by instrumental learning processes. These data and most other evidence for behavioral tolerance to solvents can be explained by solvent-induced loss of reinforcement.

Administration, Inhalation↗