Psychophysics

Absolute Threshold

Difference Threshold

Sensitivity

Why measure threshold? – Threshold is not rigid – it varies

How do we measure threshold? 

o The Classic Methods (Fechner)

1. Method of Adjustment

2. Method of Limits

Trial 1Trial 2Trial 3Trial 4
Glass 1N

Glass 2NNN

Glass 3NNNN

Glass 4YYNY

Glass 5YYY

Glass 6YY

Glass 7Y

Glass 8Y

 

3. Method of Constant Stimuli

Signal Detection theory

• Are we measuring absolute threshold? Instead of a single number threshold, move to a curve giving range of performance levels for part under different conditions – individuals sensitivity w/o bias

• What if participant thinks she might have detected a stimulus? What if a subject thinks she should have detected a stimulus? SDT deals with uncertainty

• Similar to a t-test

 

• Say yes if hear tone, no if don’t hear tone

• Laurie – supersensitive, responses every time faintest possibility she hears tone – liberal responder (more likely to say yes than no)

• Chris – wants to be totally sure hears tone before responding yes – conservative responder – not willing to report hearing tone unless very sure

• Results (100 trials)

– Laurie – 90% correct 10% wrong

– Chris – 60% correct 40% wrong

• Need trials that have NO tone

– Laurie 60% correct 40% wrong

– Chris 90% correct 10% wrong

• Tone given & state hear tone – hit

• Tone given & state don’t hear tone – miss (type 2)

• No tone given & state don’t hear tone – correct rejection

• No tone given & state hear tone – false alarm (type 1)

 

• We can detect the signal (the stimulus presented).

• But we also detect noise (all other stimuli in the environ). Level can vary

• A detection experiment is really a discrimination between the signal and noise. The signal has to be intense enough to exceed the subjective decision threshold.

• Talk about N or S+N (noise always present – sometimes add a signal).

 

Noise Distribution (can vary)

Signal + Noise Distribution

d’ – difference between the 2 curves, measure of strength of signal or sensitivity of person (similar to t in t-test)

Criterion (?) – person must decide if what sensed part of N or S+N

Conservative – fewer hits, but fewer false alarms

Liberal Criterion – greater number of hits but greater number of false alarms

 

ROC curve

• Receiver operating characteristic curve

• Plot Hits by False Alarms

• When d’ is straight line – chance level

• Farther from the straight line, greater than chance performance (greater sensitivity)

• Each point represents criterion

Weber’s Law (just noticeable difference)

• Relates size of JND to size of the standard. 

• Difference threshold gets larger as standard gets larger but ratio remains the same

• ?I/I = k 

– ?I = difference

– I = magnitude of standard stimulus

– k = Weber fraction

• Smaller the fraction, better can discriminate

 

Common Weber Fractions (?I/I)

• Light intensity 0.079, Sound Intensity 0.048, Lifted Weight 0.022, Line Length 0.029, Taste 0.083, Electric Shock 0.013

 

Fechner’s formula

• Assume all JND are psychologically equal (60-61 change is same as 300-305 change)

• P=k log I

– Perception, constant, intensity

– Log – the power to which 10 must be raised to equal that number (log 10 = 1, log 100 = 2)

 

• Say have k = 1

• P = 1 * 10

• P = 1

• What if want P = 2 (perc as 2x as powerful)?

• I = 100

• Works at midrange. See in use calculating decibels

Magnitude Estimation (Stevens)

• Gave a standard and assigned a number, then had participants assign a number directly to a test stimulus as it relates to the standard (so if __________ is a 10, then what is _____ ?)

• Found the relationship was usually described by a power function:

• P = k * Im

– k is a constant, I is physical intensity, m is the exponent (determined by calculating slope on a log/log scale) P is perception

Interpreting m

• If m = 1.0 then doubling physical intensity doubles perceived intensity.

– Line length

• If m < 1.0 then doubling physical intensity less than doubles perceived intensity.

– Brightness – response compression

• If m > 1.0 then doubling physical intensity more than doubles perceived intensity.

– Electric shock – response expansion

 

Common Exponents

• Loudness = 0.6, Brightness = 0.33, Taste = 0.8-1.3, Vibration = 0.95, Force of handgrip = 1.7, Electric shock = 3.5