Mathematical Psychology and Psychophysiology

By Stephen Grossberg | Go to book overview
Save to active project
2. In an important special case of the same-different task when "same" and "different" trials are balanced in the experimental design, the optimal decision rule specifies that the observer should separately categorize the stimuli appearing in the two presentation intervals, and then give his response based on the resulting categorical information.
3. In the optimal decision strategy for the ABX discrimination task, the observer matches forced-choice information from the two standards against information from the third, test stimulus exactly as if he were making an optimal same-different judgment on the basis of the two sources of information.
4. For both the same-different and ABX discrimination tasks, it is straightforward to construct examples that show how the optimal decision strategy differs from a decision strategy in which the observer uses differences in sensations. Nevertheless, in many cases the two theoretical approaches give very similar values for the predicted percentage of correct responses. For the tone frequency discrimination data of Creelman and Macmillan ( 1979), both of these approaches correctly predict that the percentage of correct responses should increase as one successively examines same-different, ABX, yes-no and two-alternative forced-choice tasks, and the numerical values of the models' predictions provide at least a first-order approximation of the obtained values.
5. The optimal decision rule analysis can be used to generate predictions of an observer's performance in a variety of other paradigms. For instance, it predicts identical percentage correct scores for important special cases of ABX and AXA discrimination tasks, and this prediction was found to be approximately true for the data of Creelman and Macmillan ( 1979). A number of other new predictions await detailed experimental tests.

REFERENCES

Creelman C. D. and Macmillan N. A. "Auditory phase and frequency discrimination: A comparison of nine procedures". Journal of Experimental Psychology: Human Perception and Performance, 1979, 5, 146-156.

Green D. M. and Swets J. A. Signal detection theory and psychophysics. Huntington, New York: Robert E. Krieger Publishing Company, 1974.

Hefner R. A. Extensions of the law of comparative judgment to discriminable and multidimensional stimuli. Unpublished doctoral dissertation, University of Michigan, 1958.

Kac M. "A note on learning signal detection". IRE Transactions on Information Theory, 1962, IT-8, 126-128.

Kac M. "Some mathematical models in science". Science, 1969, 166, 695-699.

Kaplan H. L., Macmillan N. A., and Creelman C. D. "Tables of d′ for variable-standard discrimination paradigms". Behavior Research Methods and Instrumentation, 1978, 10, 796- 813.

Krueger L. E. "A theory of perceptual matching". Psychological Review, 1978, 85, 278-304.

Laming D. Mathematical psychology. New York: Academic Press, 1973.

-278-

Notes for this page

Add a new note
If you are trying to select text to create highlights or citations, remember that you must now click or tap on the first word, and then click or tap on the last word.
Loading One moment ...
Project items
Notes
Cite this page

Cited page

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

Cited page

Bookmark this page
Mathematical Psychology and Psychophysiology
Settings

Settings

Typeface
Text size Smaller Larger
Search within

Search within this book

Look up

Look up a word

  • Dictionary
  • Thesaurus
Please submit a word or phrase above.
Print this page

Print this page

Why can't I print more than one page at a time?

While we understand printed pages are helpful to our users, this limitation is necessary to help protect our publishers' copyrighted material and prevent its unlawful distribution. We are sorry for any inconvenience.
Full screen
/ 320

matching results for page

Cited passage

Style
Citations are available only to our active members.
Sign up now to cite pages or passages in MLA, APA and Chicago citation styles.

Cited passage

Welcome to the new Questia Reader

The Questia Reader has been updated to provide you with an even better online reading experience.  It is now 100% Responsive, which means you can read our books and articles on any sized device you wish.  All of your favorite tools like notes, highlights, and citations are still here, but the way you select text has been updated to be easier to use, especially on touchscreen devices.  Here's how:

1. Click or tap the first word you want to select.
2. Click or tap the last word you want to select.

OK, got it!

Thanks for trying Questia!

Please continue trying out our research tools, but please note, full functionality is available only to our active members.

Your work will be lost once you leave this Web page.

For full access in an ad-free environment, sign up now for a FREE, 1-day trial.

Already a member? Log in now.

Are you sure you want to delete this highlight?