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topic02b_handouts
Course: PSYCH 253, Fall 2007School: Penn State
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Word Count: 234
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Method Muller-Lyer: of Adjustment Muller-Lyer: Method of Adjustment 150 140 Line Length 130 Ascending trials 120 Descending trials Mean 110 100 reference line length 0 1 2 3 4 5 6 7 8 9 10 11 90 Trial Muller-Lyer: Method of Limits Muller-Lyer: Method of Limits 150 140 Line Length 130 Ascending trials 120 Descending trials Mean 110 100 reference line length 0 1 2 3 4 5 6 7 8 9 10 11 90 Trial...
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Method Muller-Lyer: of Adjustment
Muller-Lyer: Method of Adjustment
150
140
Line Length
130 Ascending trials 120 Descending trials Mean 110
100
reference line length
0 1 2 3 4 5 6 7 8 9 10 11
90 Trial
Muller-Lyer: Method of Limits
Muller-Lyer: Method of Limits
150
140
Line Length
130 Ascending trials 120 Descending trials Mean 110
100
reference line length
0 1 2 3 4 5 6 7 8 9 10 11
90 Trial
Muller-Lyer: Method of Constants
Muller-Lyer: Method of Constants
1.00
0.80
% Longer
0.60
0.40
0.20
0.00 100
110
120
130
140
150
Test Line Length
Introducing Signal Detection Theory
Psychological Evidence
Independent Variable
Dependent Variable
x
f(x)
y
???
DV
Perhaps We Need a New Threshold
And We Get a Second Function!
" Yes" if c g " No" if c
x DV
f x
g
Still That Problem of Randomness
Normal distribution
Signal (Gaussian) Detection Theory and Detection
Detect the presence of some external energy
x
f(x)
f y | s n
c
Hit
Miss
The Other State of the World
f | n
Correct rejection
c
False alarm
Another Look
Yet Another Look
Working With Data: Estimating Hit and False Alarm Rates
State Response Of the World Present Absent Signal present (s+n) f1 f2 Signal absent (n)
f1 Hit rate (HR) f1 f 2
f3
f4
f3 False alarm rate (FA) f3 f 4
Example Data
Two Aspects of Performance
x DV
f x
g
Separate Pieces
c
Estimating Probabilities from Data
c
Quantifying Sensitivity
d' z HR z FA d' 1.036 1.282 2.318
z(.10) = -1.282
c HR = .85
c
FA = .10
z(.85) = 1.036
Interpreting d'
Quantifying Bias
1 c z HR z FA 2
Example 1: Detecting a tone
R
S
Example 2: detecting a bad transmission
R S
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