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Evaluating Independent Proportions for Statistical Difference, Equivalence, Indeterminacy, and Trivial Difference Using Inferential Confidence Intervals

Author

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  • Warren W. Tryon
  • Charles Lewis

Abstract

Tryon presented a graphic inferential confidence interval (ICI) approach to analyzing two independent and dependent means for statistical difference, equivalence, replication, indeterminacy, and trivial difference. Tryon and Lewis corrected the reduction factor used to adjust descriptive confidence intervals (DCIs) to create ICIs and introduced trivial statistical difference. They also introduced hybrid confidence intervals containing both ICI and DCI limits as replacements for error bars. This article generalizes the ICI method to include asymmetric as well as symmetric confidence intervals. Application is made to two independent proportions, odds, odds ratios, and log odds.

Suggested Citation

  • Warren W. Tryon & Charles Lewis, 2009. "Evaluating Independent Proportions for Statistical Difference, Equivalence, Indeterminacy, and Trivial Difference Using Inferential Confidence Intervals," Journal of Educational and Behavioral Statistics, , vol. 34(2), pages 171-189, June.
  • Handle: RePEc:sae:jedbes:v:34:y:2009:i:2:p:171-189
    DOI: 10.3102/1076998609332753
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    Cited by:

    1. Donata Marasini & Piero Quatto & Enrico Ripamonti, 2017. "Inferential confidence intervals for fuzzy analysis of teaching satisfaction," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(4), pages 1513-1529, July.

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