Testing Statistical Hypotheses of Equivalence and Noninferiority

By S. Wellek. 2010

466 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2103a99a84f9c67bc079ed66027855a9511e3580

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In Control and Systems Engineering

In Statistics and Probability

Citations in the corpus

The Bayesian New Statistics: Hypothesis testing, estimation, meta-analysis, and power analysis from a Bayesian perspective (2017, unknown): “A different Bayesian decision rule for equivalence examines only the posterior probability mass inside the ROPE, without regard to the HDI (e.g., Wellek, 2010) but we prefer to treat the probability density as a meaningful quantity that better handles skewed distributions (Kruschke, 2015, Section…”
Assessing Structural Equation Models by Equivalence Testing With Adjusted Fit Indexes (2016, methodology): “In contrast to NHT, equivalence testing allows us to control the size of misspecification at a prespecified value so that we can claim how good the model is with a desired level of confidence (Wellek, 2010).”
Testing relevant hypotheses in functional time series via self‐normalization (2018, background): “ (1.2) and (1.3) are called precise hypotheses or relevant hypotheses in the literature [see Berger and Delampady (1987)] and are frequently used in biostatistics. We refer to Chow and Liu (1992) and Wellek (2010) for more details and applications. In this paper we discuss the problem of testing rel”
Strengthening statistical usage in marine ecology (2012, background): “These may be relatively straightforward, such as confidence interval construction (Garrett, 1997; http:// www.graphpad.com), or very sophisticated (Wellek, 2010).”
New Ways to Evaluate Goodness of Fit: A Note on Using Equivalence Testing to Assess Structural Equation Models (2017, background): “For a general treatment of the topic in statistical hypothesis testing, readers are referred to Wellek (2010).”
Valid P-Values Behave Exactly as They Should: Some Misleading Criticisms of P-Values and Their Resolution With S-Values (2019, result): “…may even make more sense contextually to reverse the role of the test and alternative hypothesis, so that the tested H becomes |β −b| ≥ c, as in equivalence testing (Berger and Hsu 1996; Senn 2008; Wellek 2010).8 Other examples of role reversal include risklimiting audits (Lindeman and Stark 2012).”
Equivalence of Regression Curves (2018, background): “If the null hypothesis is rejected, one can then claim at a prespecified significance level α that, in the previous example, the two treatments have an equivalent effect (see Wellek 2010).”
Equivalence Tests (2017, unknown): “When researchers want to argue for the absence of an effect that is large enough to be worthwhile to examine, they can test for equivalence (Wellek, 2010).”
Testing Equivalence in Communication Research: Theory and Application (2012, methodology): “…confidence intervals is provided by standard nullhypothesis effect tests (Levine, Weber, Park et al., 2008) that are supplemented by the use of non-central sampling distributions and the determination of a “minimum substantial effect ” for the test of statistical equivalence (Wellek, 2003, 2010).”
The limit distribution of weighted $$L^2$$L2-goodness-of-fit statistics under fixed alternatives, with applications (2017, methodology): “Notice that this test is in the spirit of bioequivalence testing [see, e.g., Czado et al. (2007) or Wellek (2010)], since it aims at validating a certain neighborhood of a hypothesizedmodel.”
Rank-Normalization, Folding, and Localization: An Improved Rˆ for Assessing Convergence of MCMC (with Discussion) (2019, methodology): “In addition, small probability intervals can be used in practical equivalence testing (see, e.g., Wellek, 2010).”
Functional data analysis in the Banach space of continuous functions (2017, background): “Observe also that tests for relevant differences between two finite-dimensional parameters corresponding to different populations have been considered mainly in the biostatistical literature, for example in Wellek [44].”