The Effect of Sequential Dependencies on Some Signal Detection Parameters

Abstract

The values of various sensitivity and response criterion parameters were calculated under different experimental conditions for both detection and recognition tasks. The effects of feedback and stimulus probability were found to be consistent with previous studies. When the values of the parameters were computed depending on the nature of the immediately preceding trial, the criterion parameters were found to be dependent on the identity of the preceding response, while those measuring sensitivity were dependent on its correctness. The dependence of the sensitivity parameters could be explained as an artifact of statistical bias, while the effect on the criterion parameters appears genuine. The nature of the phenomenon of statistical bias is discussed.

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References

Abrahamson

I. G.

Leavitt

(1969). Statistical analysis of data from experiments in human signal detection. Journal of Mathematical Psychology 6, 391–417.

Atkinson

R. C.

Bower

G. H.

Crothers

E. J.

(1965). An Introduction to Mathematical Learning Theory New York: John Wiley & Sons.

Baddeley

A. D.

Colquhoun

W. P.

(1969). Signal probability and vigilance: a reappraisal of the “signal rate” effect. British Journal of Psychology 60, 169–178.

Broadbent

D. E.

(1971). Decision and Stress London: Academic Press.

Carterette

E. C.

Wyman

M. J.

(1962). Applications of a simple Markov model to a simple detection situation involving social pressure. Mathematical Models in Small Group Processes Criswell

J. H.

Suppes

Stanford: Stanford University Press.

Green

D. R.

Swets

J. A.

(1966). Signal Detection Theory and Psychophysics New York: John Wiley & Sons.

Haggard

M. P.

(1972). Perceptual states from response contingencies Paper presented to E.P.S. Newcastle, July 1972.

Luce

R. D.

(1963). Detection and Recognition. Handbook of Mathematical Psychology Luce

R. D.

Bush

R. R.

Galanter

New York: John Wiley & Sons Vol. 1.

Macdonald

R. R.

(1974). Intertrial dependence in detection and recognition tasks. Acta Psychologica 38, 357–65.

10.

Moray

Fitter

M. J.

(1974). Intensity discrimination in a rapid sequence of tone bursts. Journal of the Acoustical Society of America 56, 1577–84.

11.

Parducci

Sandusky

(1965). Distribution and sequence effects in judgement. Journal of Experimental Psychology 69, 450–9.

12.

Pollack

Hsieh

(1969). Sampling variability of the area under the ROC curve and of d'. Psychological Bulletin 71, 161–73.

13.

Sandusky

(1971). Signal recognition models compared for random and Markov presentation schedules. Perception and Psychophysics 10, 339–47.

14.

Shipley

E. F.

(1961). Dependency of successive judgements in detection tasks: correctness of the response. Journal of the Acoustical Society of America 33, 1142–3.

15.

Tanner

T. A.

Haller

R. W.

Atkinson

R. C.

(1967). Signal recognition as influenced by presentation schedules. Perception and Psychophysics 2, 349–58.

16.

Tanner

T. A.

Rauk

J. A.

Atkinson

R. L.

(1970). Signal recognition as influenced by information feedback. Journal of Mathematical Psychology 7, 259–74.

17.

Wender

K. F.

(1975). Signal identification: the comparison of two competitive theories. Perception and Psychophysics 18, 250–54.