The Analysis of Sequential Experiments with Feedback to Subjects

Abstract

A problem arising in taste testing, medical, and parapsychology experiments can be modeled as follows. A deck of n cards contains c(i) cards labeled i, 1 < or = i < or = r. A subject guesses at the cards sequentially. After each guess the subject is told the card just guessed (or at least if the guess was correct or not). We determine the optimal and worst case strategies for subjects and the distribution of the number of correct guesses under these strategies. We show how to use skill scoring to evaluate such experiments in a way which (asymptotically) does not depend on the subject's strategy.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA083288

Entities

People

  • Persi Diaconis
  • Ronald Graham

Organizations

  • Stanford University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Computations
  • Computer Science
  • Data Science
  • Distribution Functions
  • Feedback
  • Information Science
  • Network Science
  • New York
  • Normal Distribution
  • Order Statistics
  • Parapsychology
  • Probability
  • Random Variables
  • Random Walk
  • Statistical Algorithms

Readers

  • Brain and Cognitive Science; Experimental Psychology; Cognitive Neuroscience
  • Game Theory.
  • Mathematical Modeling and Probability Theory.