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

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.