DESIGN, TESTING AND ESTIMATION IN COMPLEX EXPERIMENTATION. III. THE DESIGN AND ANALYSIS OF MULTIVARIATE SENSITIVITY EXPERIMENTS.

Abstract

This report contains research results obtained on the design and analysis of quantal-response experiments involving one or more stimuli. In particular a univariate nonparametric design for estimating the stimulus level corresponding to a given response-fraction, alpha, is developed. Special attention is given to extreme values of alpha. In addition, an algorithm for determining maximum-likelihood estimates of partially ordered probabilities and its application to various aspects of multivariate sensitivity experiments are described. A method for handling such experiments when the stimuli do not 'interact' is discussed and a nonparametric statistical design with point estimates is given. Finally, response models are developed for various conditional distribution requirements on the stimuli. For a large class of these response surfaces the equal-probability response contours are shown to be hyperbolas. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0618517

Entities

People

  • Madeline J. Alexander

Organizations

  • Rocketdyne

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Geometric Forms
  • Geometry
  • Hyperbolas
  • Mathematics
  • Probability
  • Sensitivity

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.