Title page for ETD etd-07092004-113059


Type of Document Master's Thesis
Author Armstrong, Summer Ann
Author's Email Address summernucc@yahoo.com
URN etd-07092004-113059
Title A Meta-Analysis of Randomness in Human Behavioral Research
Degree Master of Science (M.S.)
Department Mathematics
Advisory Committee
Advisor Name Title
James Madden Committee Chair
George Cochran Committee Member
Jason Hicks Committee Member
Keywords
  • frequency test for randomness
  • coin toss
  • random experiment
  • countable additivity
  • infinite binary sequences
  • finite binary sequences
  • hypothesis testing
  • runs test for randomness
Date of Defense 2004-06-16
Availability unrestricted
Abstract
This work analyzes the concept of randomness in binary sequences from three different perspectives: mathematically, statistically, and psychologically and examines the research on human perception of randomness and the question of whether or not humans can simulate random behavior. Generally, research shows that human subjects have great difficulty producing random sequences, even when they are instructed and motivated. We survey some of the literature and present some leading theoretical proposals. Finally, we present some basic statistical tests that can be used to evaluate randomness in a given binary sequence.
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