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Testing Statistical Hypotheses of Equivalence and Noninferiority
Abstract
While continuing to focus on methods of testing for two-sided equivalence, Testing Statistical Hypotheses of Equivalence and Noninferiority, Second Edition gives much more attention to noninferiority testing. It covers a spectrum of equivalence testing problems of both types, ranging from a one-sample problem with normally distributed observations
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“The non-inferiority margin was defined a priori (in the grant application) by a strict and small margin of tolerance for non-inferiority of 10%, or a ε of 0.36 [53], p.16 which, for example, represents a difference in change between the two conditions of no more than 10% on the primary outcome measure.”
In the citing paper
“The sample size was established a priori based on a power analysis for non-inferiority trials [53,54].”
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Lakens, D. (2017) · Social Psychological and Personality Science · doi:10.1177/1948550617697177 · Cited by 2,161
“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).”
Vehtari, A., Gelman, A., Simpson, D., Carpenter, B., & Bürkner, P.-C. (2021) · Bayesian Analysis · doi:10.1214/20-ba1221 · Cited by 1,810
“In addition, small probability intervals can be used in practical equivalence testing (see, e.g., Wellek, 2010).”
MethodKruschke, J. K., & Liddell, T. M. (2018) · Psychonomic Bulletin & Review · doi:10.3758/s13423-016-1221-4 · Cited by 1,288
“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…”
Cronbach's alpha reliability: Interval estimation, hypothesis testing, and sample size planning
Bonett, D. G., & Wright, T. A. (2015) · Journal of Organizational Behavior · doi:10.1002/job.1960 · Cited by 1,237
Lies, Damned Lies, and Survey Self-Reports? Identity as a Cause of Measurement Bias
Brenner, P. S., & DeLamater, J. (2016) · Social Psychology Quarterly · doi:10.1177/0190272516628298 · Cited by 457
Metadata
- Authors
- Wellek, S.
- Corresponding author
- Wellek, Stefan
- ORCID
- Wellek, Stefan
- Venue
- Chapman & Hall/CRC eBooks
- Publisher
- Chapman and Hall/CRC
- Published
- 2010-06-24
- OpenAlex
- W2480935928
- Cited by
- 548
- References
- 0
- Citations by year
- 2026: 23 · 2025: 19 · 2024: 31 · 2023: 30 · 2022: 50 · 2021: 57 · 2020: 69 · 2019: 49 · 2018: 55 · 2017: 30 · 2016: 30 · 2015: 37 · 2014: 19 · 2013: 24 · 2012: 19
- FWCI
- 4.76
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Chapman & Hall/CRC eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- equivalence testing, non-inferiority testing, hypothesis testing, one-sample problem, clinical trials
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