Quantal Response Analysis in the Absence of a Zone of Mixed Results Using Data Augmentation

Abstract

Quantal response analysis is used to estimate the probability of a dichotomous response, e.g., complete penetration, as a function of a stimulus variable. Using maximum likelihood and the DiDonato-Janagin algorithm, estimates of the normal distribution parameters that underlie threshold stimulus levels are obtainable if a zone of mixed results is observed in the test data and if the average success-producing stimulus exceeds the average failure-producing stimulus. In the absence of a zone of mixed results, a method is proposed that utilizes data augmentation to estimate some parameter of interest, e.g., the probability of success at a specific stimulus level. This method generates artificial copies of the original data set of stimuli and responses and then adds a random noise component to each of the stimuli.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2008
Accession Number
ADA491027

Entities

People

  • David W. Webb

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Armor
  • Confidence Limits
  • Data Science
  • Data Sets
  • Distribution Functions
  • Experimental Design
  • Frequency
  • Histograms
  • Information Science
  • Mathematical Models
  • Military Research
  • Models
  • Monte Carlo Method
  • Normal Distribution
  • Probability
  • Standards

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  • Regression Analysis.