Journal Article: Models for the duo-trio and triangular methods (1988)

Duo-trio and triangular method models by Ura (1960, Japanese Union of Scientists and Engineers 7, 107-1 19) and David and Trivedi (unpublished Technical Report #55, Department of Statistics, Virginia Polytechnic Institute, 1962) for examining perceptual processes have proven to be very useful, but are limited to univariate phenomena. Recent Monte Carlo studies by Ennis and Mullen (1985, Chemical Senses 10, 605-608; 1986, Journal of Mathematical Psychology 30, 206-2 19), on the probabilities of correct decisions for multivariate responses, showed how they depend on discriminal distance, variance-covariance structure, and orientation in n-space. Mathematical models for the triangular and duo-trio method in the bivariate case were developed by Mullen and Ennis (1987, Psychometrika 52, 235-249). Formulation of the n-dimensional triangular method model was accomplished and problems in numerical integration were resolved by Kapenga et al. (1987, in Numerical Integration, P. Keast and G. Fairweather (eds), 32 1-328; Dordrecht: Reidel). The n-dimensional duo-trio method model is given in this paper and previous work on the triangular method is reviewed briefly.

This article appears as:
Mullen, K., Ennis, D. M., de Doncker, E., and Kapenga, J. A. (1988). Models for the duo-trio and triangular methods. Biometrics, 44(4), 1169-1175.

Colleagues can request this journal article here:
Models for the duo-trio and triangular methods

Not a Colleague? Click here to join for free!

Upcoming Webinar

September 21, 2017

Large TURF Problems: Finding Custom Solutions


Announcing the release of the 2016 Webinar Series Package!

Offered at a discounted rate of 50% off regular price, this package contains recordings of all four webinars offered during the 2016 Quarterly Webinar Series.

Create Your Own Webinar Package


Webinar calendar


Become a Colleague!

Join now to gain access to our technical reports, presentations, and more!

Click here to login or join.

Student Award

Now accepting applications for the
2017 Institute for Perception Student Award

site search