Psychophysics & Signal Detection Theory Flashcards
Absolute thresholds
the minimum physical intensity of a stimulus presented that can be sensed, always measured at a percentage (e.g., likelihood of seeing the smallest presentation of light 50% of the time)
Difference thresholds (a.k.a. JND)
the minimum difference between two stimuli intensities that can be noticed, also given as a likelihood
(e.g., 50% of the time people can tell the difference between weight of object A and weight of object B)
Method of Constant stimuli
a selected set of stimuli intensities are presented by the researcher
*ideally the threshold falls somewhere within the set of intensities
Method of Limits
the researcher presents increasing and decreasing stimuli intensities from a relative maximum and minimum level, and the threshold point is found from the average
Method of Adjustment
the participant is allowed to adjust the intensity until they find their own threshold
- this method is quick to conduct, but is vulnerable to participant bias
Weber’s Law
there is a relationship between a stimulus’ original intensity and the just noticeable difference to reach the next psychological step; this relationship is a constant
Fechner’s Law
–> Continuing from Weber’s law (since Fechner was Weber’s student)
Fechner pointed out the mathematical formula that captures this relationship:
P = k log S
- P = psychological (perceived) brightness
- k = the constant
- S = the physical stimulus intensity (luminance level of a light)
Steven’s Law
P = k S^n
* highlighted that the relationship between perceived and physical is not always logarithmic, as Fechner’s law suggested
- the relationship between the physical stimulus and its psychological sensation can be exaggerated, veridical, or compressed –> treat “n” value as a slope to determine which
Exaggerated stimuli
n > 1
- can only be predicted by steven’s law
- depicted by a sharp slope
example: electric shock
Compressed stimuli
n < 1
- can be predicted by weber, fechner, and steven’s laws
- depicted by a low slope
example: brightness
Veridical (true) stimuli
n = 1
- 1:1 slope
- only predicted by steven’s law
example: apparent length
Psychophysical scaling and magnitude estimation
From Steven’s Law, we know that not all stimuli and the psychological sensation of them have a 1:1 relationship
*The estimation of the psychological sensation of stimuli is dependent on the stimulus itself (e.g., doubling the physical intensity of a light does not double its perceived brightness - it’s less than doubled!)
–> different “n” slopes to determine perception qualities of a stimulus
Signal Detection Theory (SDT)
quantifies the ability to discern between information-bearing patterns (signal) and random patterns that distract from the information (noise)
- -> used to separate sensitivity from response tendencies
- -> helps us understand how we make decisions under conditions of uncertainty, such as near threshold
What are the two parts to SDT?
1) d’ (sensitivity index)
2) criterion of observer (response bias)
Response bias (aka response criterion)
the black line on an SDT graph aka your response
What is to the LEFT of the response criterion line?
Your response NO
What is to the RIGHT of the response criterion line?
Your response YES
How would you move the response criterion to say YES more often?
you move the line LEFT so that the yes area to the right is bigger
How would you move the response criterion to say NO more often?
you move the line RIGHT so that the no area to the left is bigger
Describe all the response patterns and where they’d fall on an SDT graph
1) False Alarm: When there’s no signal, and you say “YES” (right of the line)
2) Correct Rejection: When there’s no signal, and you say “NO” (left of the line)
3) Hit: When there’s a signal, and you say “YES” (right of the line)
4) Miss: When there’s a signal, and you say “NO” (left of the line)
Sensitivity (d’)
distance between the signal and noise curves; higher sensitivity means it’s easier to distinguish signal from noise
(e.g.)
high sensitivity = fire alarm vs phone ringing
low sensitivity = phone ringing on TV vs your actual phone ringing
ROC curve
a visual depiction of various sensitivity levels and its relationship with hit/miss/false alarm/correct rejection
- 0 sensitivity: you have equal chance of being correct as being incorrect; line is 1:1
- higher sensitivity: the curve gets pulled closer and closer to the top left corner, shifting the correct/incorrect likelihoods