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Title page for ETD etd-04022007-154801


Type of Document Master's Thesis
Author Kraatz, Miriam
Author's Email Address mkraatz@gmail.com
URN etd-04022007-154801
Title Correlational Equivalence Testing
Degree Master of Science
Department Psychology
Advisory Committee
Advisor Name Title
Andrew J. Tomarken Committee Member
David Cole Committee Member
David Lubinski Committee Member
James H. Steiger Committee Member
Keywords
  • equivalence testing
  • correlations
  • confidence intervals
Date of Defense 2007-03-29
Availability unrestricted
Abstract
Equivalence testing confirms that two parameters are within an acceptable tolerance of each other by rejecting a statistical null hypothesis that the parameters are farther apart than that tolerance. Equivalence testing became popular in pharmaceutical research more than 30 years ago, but has only recently received serious attention in the social sciences. Suggestions for procedures testing the equivalence of two means abound, however, no equivalence test for the difference between two correlations has yet been suggested. This study compares three confidence intervals suggested for use in equivalence testing of means with respect to their coverage rate, bias, and width. The 1 - 2 alpha CI method is then applied to testing of two correlations for equivalence. Asymptotic methods for the construction of the 1 - 2 alpha CI, and formulas for approximating power and required N are provided. The properties of the CI are also investigated with Monte Carlo simulations.
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