Signal Detection Theory and Psychophysics - Andrei Gorea

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d’ with unequal variancespHpHzHzH120.80.60.4d’10'd 1in s N units'd 2in s S units0.2-10-2120.80.60.4d’ ?10d’ a'd 1in s N units'd Y / Nd’ a'd2in s S unitsd’ 2 < d’ a < d’ 10.2-100 0.2 0.4 0.6 0.8 1pFA-2-2 -1 0 1 2zFA
d’ with unequal varianceszH210-1-2d’ a'd 1in s N units'd Y / Nd-2 -1 0 1 2zFA''a 2dY / N R/d’ a'd2in s S unitss21 sThe index d a has the properties we want.221. It is intermediate in size between d 1 and d‘ 2 .2. It is equivalent to d' when the ROC slope is 1,for then the perpendicular line of length D Y/Ncoincides with the minor diagonal, and the twolines of length d a coincide with the d' 1 , and d' 2segments.3. It turns out to be equivalent to the differencebetween the means in units of the root-meansquare(rms) standard deviation, a kind ofaverage equal to the square root of the mean ofthe squares of the standard deviations of S1and S2.To find d a from an ROC that is linear in z coordinates, it iseasiest to first estimate d’ 1 , d’ 2 and the slope s = d’ 1 /d’ 2 .Because the standard deviation of the S1 distribution is stimes as large as that of S2, we can set the standarddeviation of S1 to s and that of S2 to 1.To find d a directly from one point on the ROC once s is known:dd'a'ad'2.5 1s²zH sz.5F d'2 2 1s² 2 1s² .5.5
Page 1 and 2: THEORIE DE LA DETECTION DU SIGNALLa
Page 4 and 5: PhysicalWorldSensoryProcessesInfere
Page 6 and 7: z-ScoreOu « score normal » ou «
Page 8 and 9: P(z)p N (z=c)SIGNAL DETECTION THEOR
Page 10 and 11: Criterion settingObservers set a cr
Page 12 and 13: SDT: THE STANDARD MODELOptimal crit
Page 14: z(FA)1 - p > .5p < .51 - p < .5p >
Page 17 and 18: P(zpHReceiving Operating Characteri
Page 19 and 20: pHP(z)ROC & the Rating experimentOU
Page 21: PROBABABILITÉd’ with unequal var
Page 25 and 26: HIGH-THRESHOLD THEORY*The HTT propo
Page 27 and 28: P(z)pHP(z)pHIn the rest of thedecis
Page 29 and 30: RRRResponsed’TRANSDUCTION & THRES
Page 31 and 32: RRResponsed’TRANSDUCTION & THRESH
Page 33 and 34: LA RELATION ENTRE Y/N & 2AFC1 20 SA
Page 35 and 36: P(z)P(z)P(z)Reasons for “invisibi
Page 37 and 38: P(z)% YESCRITERIONThe response crit
Page 39 and 40: CHANNELS, NOISEandSIGNAL DETECTION
Page 41 and 42: RESPONSE NORMALIZATIONNormalization
Page 43 and 44: RESPONSE (e.g. s/s)CHANNELS & RESPO
Page 45 and 46: RR = kIlog (I )RTRANSDUCTIONR kIs
Page 47 and 48: RR = log(I)log (I )RTRANSDUCTIONR
Page 51: Temps. RéactionTemps. RéactionTre
Page 54: Temps. RéactionTemps. RéactionTem

Signal Detection Theory and Psychophysics - Andrei Gorea

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