Cited by 553Statistical Methods in Clinical TrialsProbability and Statistical ResearchStatistical Methods and Bayesian Inference

The DOI matches its Crossref record.

Testing Statistical Hypotheses of Equivalence and Noninferiority

Wellek, Stefan·2010·Chapman & Hall/CRC eBooks

DOI 10.1201/ebk1439808184

Open this paper in CoChat — free account

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

Integrity signals

Registry

Crossref · 10.1201/ebk1439808184

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Sorted by citations

Items 501–553 of 553

Testing Equivalence of Multinomial Distributions - a Constrained Bootstrap ApproachPreprint
Bastian, P. J., Dette, H., & Koletzko, L. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4530844
Virtual Workshop Report: Approaches, Regulatory Challenges, and Advances in Bioequivalence, Dissolution Testing, and Biowaivers: Manila, Philippines, February 22-24, 2023
Polli, J. E., Gray, V. A., Luna, W. J. E. D., et al. (2023) · Dissolution Technologies · doi:10.14227/dt300423p252
Biological Motion in Robots and Users’ Action UnderstandingPreprint
Wan, M. F., & Bennett, S. (2024) · doi:10.31234/osf.io/368ux
An Equivalence Test Approach to Rounding Parameter Estimates
Astier, N., & Wolak, F. A. (2024) · National Bureau of Economic Research · doi:10.3386/w32124
Sex-Mismatching in Isolated Heart Transplant Confers No Postoperative RiskPreprint
Dale, R., Leipzig, M., Bahatyrevich, N., et al. (2024) · medRxiv · doi:10.1101/2024.02.23.24303301
Implications of the Co-Dominance Model for Hardy-Weinberg Testing in Genetic Association Studies
Wellek, S., Müller‐Nurasyid, M., & Strauch, K. (2024) · Human Heredity · doi:10.1159/000537832
“Irrespective of whether or not the codominance model holds true, the combined testing procedure described in §4.1 maintains the prede ﬁ ned level α of signi ﬁ cance as is guaranteed by the so-called principle of intersection-union (cf. R.L. Berger [21]; Wellek [11], §7.1).”
InfluentialSelf-citation
Improved Test Procedure and Sample Size Calculation for Assessing Similarity in Two-Group Comparative Studies with Heterogeneous Variances
Jan, S., & Shieh, G. (2024) · Sankhya B · doi:10.1007/s13571-024-00334-y
“Moreover, the concepts and techniques for the design and analysis of equivalence studies are described in Chow and Liu (2008), Hauschke et al. (2007), and Wellek (2010).”
disprofas: Non-Parametric Dissolution Profile Analysis
Dahinden, P. (2021) · doi:10.32614/cran.package.disprofas
Error statistics, Bayes-factor Tests and the Fallacy of Non-exhaustive AlternativesPreprint
Mayo, D. G. (2024) · doi:10.31219/osf.io/tmgqd
Multiple testing of interval composite null hypotheses using randomized p-values
Ochieng, D. (2024) · Statistical Papers · doi:10.1007/s00362-024-01591-9
“Furthermore, Munk (1996) and Wellek (2010) Sect.”
Influential
Sharp adaptive and pathwise stable similarity testing for scalar ergodic diffusions
Brutsche, J., & Rohde, A. (2024) · The Annals of Statistics · doi:10.1214/24-aos2386 · Cited by 2
Pivotal Inference for Function-on-Function Linear Regression via Self-Normalization
Dette, H., & Tang, J. (2024) · Springer eBooks · doi:10.1007/978-3-031-61853-6_28
A Redemption Song for Statistical SignificancePreprint
Komaroff, E. (2024) · Qeios · doi:10.32388/3qqsnc.3
Informative hypothesis testing in the EffectLiteR framework: A tutorial
Keck, C., Mayer, A., & Rosseel, Y. (2024) · Quantitative and Computational Methods in Behavioral Sciences · doi:10.5964/qcmb.13059
Unified Test Procedures and Sample Size Determinations for Probing Negligible Interaction Effects in Factorial Designs
Shieh, G. (2025) · Sankhya B · doi:10.1007/s13571-024-00350-y
“Unlike the conventional diﬀerence test, which purports to show the existence of interacting factor eﬀects, a test for negligibility of interactions was presented in Wellek (2010) for a two-way ANOVA layout.”
Influential
Assessing the Performance of Model Fit Indices in Multilevel Structural Equation Modeling: A Comparison of the Standard Approach, Level-Specific Evaluation, and Equivalence Testing
Alibrahim, N. (2024) · doi:10.56902/etdcrp.2024.24
Equivalence Test and Sample Size Procedures for Standardized Mean Differences in ANCOVA Studies
Shieh, G. (2025) · Journal of Probability and Statistics · doi:10.1155/jpas/5557130
“Te key principle generalizes the technique in Wellek [34] for constructing an equivalence test of the standardized mean diference between two independent populations.”
Equivalence Testing
Hauschke, D. (2025) · International Encyclopedia of Statistical Science · doi:10.1007/978-3-662-69359-9_203
An Exact Multivariate Equivalence Test and Confidence Interval for Assessing the Similarity of Nonoverlapping Dissolution Profiles
Samuels, R., Young, D. M., & Song, J. J. (2025) · Statistics in Biopharmaceutical Research · doi:10.1080/19466315.2025.2521110
REACT to NHST: Sensible conclusions for meaningful hypotheses
Izbicki, R., Cabezas, L. M. C., Colugnati, F. A. B., Lassance, R. F. L., de Souza, A. A. L., & Stern, R. B. (2025) · The Quantitative Methods for Psychology · doi:10.20982/tqmp.21.2.p043 · Cited by 1
“Thus, REACT does not have the issue in which the null hypothesis is rejected as the sample size increases.”
The Nonparametric Combination Methodology
Salmaso, L., & Pesarin, F. (2020) · Wiley series in probability and statistics · doi:10.1002/9781119438199.ch4
Bibliography
Salmaso, L., & Pesarin, F. (2020) · Wiley series in probability and statistics · doi:10.1002/9781119438199.ref
Spatial pattern analysis: From the perspective of spatial autocorrelation
Luo, Q., Lu, B., & Wu, H. (2025) · Elsevier eBooks · doi:10.1016/b978-0-443-26629-4.00110-6
Spower: A general-purpose Monte Carlo simulation power analysis program
Chalmers, R. P. (2025) · Behavior Research Methods · doi:10.3758/s13428-025-02787-z
Additional file 4 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984868
Additional file 5 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984874
Additional file 1 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984850
Ritual, Identity Fusion, and the Inauguration of President Trump: A pseudo-experiment of Ritual Modes theoryPreprint
Kapitány, R., Kavanagh, C., Buhrmester, M. D., Newson, M., & Whitehouse, H. (2018) · OSF Preprints (OSF Preprints) · doi:10.17605/osf.io/53waf
Additional file 1 of An equivalence test between features lists, based on the Sorensen–Dice index and the joint frequencies of GO term enrichment
Flores, P., Salicrú, M., Sanchez, A., et al. (2022) · Figshare · doi:10.6084/m9.figshare.19947516
Additional file 2 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984856
Additional file 6 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984877
Additional file 2 of An equivalence test between features lists, based on the Sorensen–Dice index and the joint frequencies of GO term enrichment
Flores, P., Salicrú, M., Sanchez, A., et al. (2022) · Figshare · doi:10.6084/m9.figshare.19947519
Additional file 3 of Comparison of alternative approaches for difference, noninferiority, and equivalence testing of normal percentiles
Shieh, G. (2020) · Figshare · doi:10.6084/m9.figshare.11984862
The equivalence testing approach for the statistical analysis of higher tier pollinator studies—recommendations and challenges
Poursina, D., Collison, E., Kimmel, S., et al. (2026) · Integrated Environmental Assessment and Management · doi:10.1093/inteam/vjag006
The Equivalence Tests of Standardized and Unstandardized Mean Differences: Similar But Distinct
Shieh, G. (2026) · Journal of Statistical Theory and Practice · doi:10.1007/s42519-026-00541-y
Testing equivalence for three-arm trials with multinomial outcomes
Shen, P. (2026) · Journal of the Korean Statistical Society · doi:10.1007/s42952-026-00363-5
A Unified Risk Block? Monetary Policy Shocks in Hospitality EquitiesPreprint
Şener, G. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6350138
Monitoring Relevant Shifts in Functional Time SeriesPreprint
Lin, Z., Sun, J., Härdle, W. K., et al. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6430009
A Consensus-Edge Initializer for Multi-start 2-opt on the Symmetric Euclidean Travelling Salesman Problem
Saygılı, A., & Kazan, H. (2026) · Ekoist Journal of Econometrics and Statistics · doi:10.26650/ekoist.2026.xx.1824864
Psychophysical studies on Monte Carlo rendering-noise visual perception
Myrodia, V. (2021) · doi:10.70675/335b1d35z1c05z44e6za989zdbffd0b7ef5a
A decision‐oriented framework for optimizing herbicide mixture ratios and dose bands under heterogeneous weed communities
Chen, Z., Yao, W., Huang, S., et al. (2026) · Pest Management Science · doi:10.1002/ps.70781
Multivariate equivalence and component-wise superiority tests for paired samples
Hu, Y., & Chinchilli, V. M. (2026) · Journal of Biopharmaceutical Statistics · doi:10.1080/10543406.2026.2663455
“Assuming independent and identically distributed multivariate normal samples sharing a common covariance matrix, Hotelling’s T^2 Test, based on the Mahalanobis distance, was shown to be exact and uniformly most powerful (Wellek 2010).”
Comparative Evaluation of the Inactivation of SARS-CoV-2 and Human Coronavirus 229E against Sodium Hypochlorite
Hurst, S., Duncan, M. J., Carpenter, M., et al. (2026) · Anti-Infective Agents · doi:10.2174/0122113525437423260329224052
Clinical application of AI for lung lobe segmentation and functional quantification with SPECT/CT: open-source versus custom models
Amini, E., Goemans, M., Kyrollos, D. G., et al. (2026) · Scientific Reports · doi:10.1038/s41598-026-55733-0
Equivalence tests for multinomial data with composite null hypothesis
Alba-Fernández, M. V., Jiménez–Gamero, M. D., & Jiménez-Jiménez, F. (2026) · Metrika · doi:10.1007/s00184-026-01038-1
Detecting practically significant dependencies in metric spaces via distance correlations
Holger Dette, A., & Kroll, M. (2026) · Bernoulli · doi:10.3150/26-bej1990 · Cited by 1
Do I Even Need a Multilevel Model? Negligible Effect Significance Testing for Intraclass Correlation Coefficients
Lee, D., & Hancock, G. R. (2026) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986261478956
Investigating the relationship between relative accuracy and linearity acceptance criteria in bioassay validation for clinical studies
Piu, P., Auddino, S., Bernardoni, G., et al. (2026) · Bioanalysis · doi:10.1080/17576180.2026.2715915
Texture-Aware Vision Transformers for Robust Diagnosis of Dehiscence and Fenestration in 2D CBCT Cross-Sections
Balaha, H. M., Mohamed, A., Hussein, R., et al. (2026) · Proceedings - International Conference on Image Processing · doi:10.1109/icip61757.2026.11629891
A Consensus-Edge Initializer for Multi-start 2-opt on the Symmetric Euclidean Travelling Salesman Problem
Saygılı, A., & Kazan, H. (2026) · Ekoist Journal of Econometrics and Statistics · doi:10.26650/ekoist.2026.44.1824864
Identifying Feasible Sample Sizes from Incomplete Design Information
Nakamura, S. (2026) · Stats · doi:10.3390/stats9050105
Biology‐Related Research Relies Too Much on the Problematic Method of Significance Testing, Whereas There Are Good Alternatives
Kiers, H., Smilde, A., & Bouwmeester, H. (2026) · Journal of Chemometrics · doi:10.1002/cem.70180
Shewhart’s Idea of Predictability and Modern Statistics
Bucchianico, A. D., & van den Heuvel, E. R. (2015) · Springer eBooks · doi:10.1007/978-3-319-12355-4_15

Authors: Wellek, S.
Corresponding author: Wellek, Stefan
ORCID: Wellek, Stefan
Venue: Chapman & Hall/CRC eBooks
Publisher: Chapman and Hall/CRC
Published: 2010-06-24
DOI: 10.1201/ebk1439808184
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

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

Testing Statistical Hypotheses of Equivalence and Noninferiority

Abstract

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Citations

Cited by

Related

Metadata

Record

About these checks