@article{Berg2004,
 title={No-decision classification: an alternative to testing for statistical significance},
 author={Berg, N.},
 journal={{T}he Journal of {S}ocio-Economics},
 volume={33},
 number={5},
 pages={631--650},
 year={2004},
 publisher={Elsevier}
}

@article{davies2009nonparametric,
author = {P. L. Davies and A. Kovac and M. Meise},
title = {{Nonparametric regression, confidence regions and regularization}},
volume = {37},
journal = {The Annals of Statistics},
number = {5B},
publisher = {Institute of Mathematical Statistics},
pages = {2597 -- 2625},
keywords = {confidence bands, confidence region, Nonparametric regression, shape regularization, smoothness regularization},
year = {2009},
doi = {10.1214/07-AOS575},
}

@article{biecek2024rashomon,
  title={An Experimental Study on the Rashomon Effect of Balancing Methods in Imbalanced Classification},
  author={Biecek, Przemyslaw and others},
  journal={arXiv preprint arXiv:2405.01557},
  year={2024},
  volume = {99},
  pages = {1-99},
}

@book{friedman2001elements,
  title={The elements of statistical learning},
  author={Friedman, Jerome and Hastie, Trevor and Tibshirani, Robert},
  year={2001},
  publisher={Springer}
}

@article{biecek2024performance,
  title={Performance Is Not Enough: The Story Told by a Rashomon Quartet},
  author={Biecek, Przemyslaw and others},
  journal={Journal of Computational and Graphical Statistics},
  year={2024},
  volume = {99},
  pages = {1-99},
}

@article{domingos2012few,
  title={A few useful things to know about machine learning},
  author={Domingos, Pedro},
  journal={Communications of the ACM},
  volume={55},
  number={10},
  pages={78--87},
  year={2012}
}

@book{hastie2009elements,
  title={The elements of statistical learning},
  author={Hastie, Trevor and Tibshirani, Robert and Friedman, Jerome},
  year={2009},
  publisher={Springer}
}

@article{automl2022survey,
  title={A survey on automated machine learning},
  author={Z{ö}ller, Marc-Andre and Huber, Marco F},
  journal={ACM Computing Surveys},
  volume={54},
  number={6},
  pages={1--34},
  year={2022}
}

@article{mitchell2021ai,
  title={AI fairness: A review of bias mitigation techniques},
  author={Mitchell, Margaret and Shankar, Sameer and others},
  journal={Advances in Neural Information Processing Systems},
  year={2021}
  volume = {99},
  pages = {1-99},
}

@article{mehrabi2021survey,
  title={A survey on bias and fairness in machine learning},
  author={Mehrabi, Ninareh and Morstatter, Fred and others},
  journal={ACM Computing Surveys},
  volume={54},
  number={6},
  pages={1--35},
  year={2021}
}


@book{kutner2005applied,
  title={Applied Linear Statistical Models},
  author={Kutner, M.H. and Nachtsheim, Christopher J and Neter, John and Wasserman, Li},
  series={McGraw-Hill international edition},
  edition={5},
  year={2005},
  publisher={McGraw-Hill Irwin}
}

@book{scheffe1999analysis,
  title={The analysis of variance},
  author={Scheffé, Henry},
  volume={72},
  year={1999},
  publisher={John Wiley \& Sons},
}

@article{yang2015multigroup,
  title={Multigroup Equivalence Analysis for High-Dimensional Expression Data},
  author={Yang, Celeste and Bartolucci, Alfred A and Cui, Xiangqin},
  journal={Cancer Informatics},
  volume={14},
  pages={CIN--S17304},
  year={2015},
  publisher={SAGE Publications Sage UK: London, England},
  doi = {10.4137/cin.s17304}
}


@article{neyman1957use,
  title={The use of the concept of power in agricultural experimentation},
  author={Neyman, Jerzy},
  journal={Journal of the Indian Society of Agricultural Statistics, IX},
  pages={9--17},
  year={1957},
  volume = {99},
}

@article{amrhein2017earth,
  title = {The earth is flat (p $>$ 0.05): significance thresholds and the crisis of unreplicable research},
  volume = {5},
  ISSN = {2167-8359},
  DOI = {10.7717/peerj.3544},
  journal = {PeerJ},
  publisher = {PeerJ},
  author = {Amrhein,  Valentin and Korner-Nievergelt,  Fr{\"a}nzi and Roth,  Tobias},
  year = {2017},
  month = jul,
  pages = {e3544}
}

@online{vounzoulaki_2020, title={'No evidence of effect' versus 'evidence of no effect': How do they differ?}, 
  url={https://s4be.cochrane.org/blog/2020/10/09/no-evidence-of-effect-versus-evidence-of-no-effect-how-do-they-differ/}, 
  journal={Students 4 Best Evidence}, 
  author={Vounzoulaki, Elpida}, 
  year={2020}, month={Oct}, 
  howpublished = "WebPage",
  urldate = {13-07-2025}
} 

@online{gelman2009, 
  title={Statistical Modeling Causal Inference and Social Science}, 
  websitetitle={Statistical Modeling Causal Inference and Social Science}, 
  author={Andrew Gelman}, 
  year={2009}, 
  month={6},
  url = {https://statmodeling.stat.columbia.edu/2009/06/18/the_sample_size},
  urldate = {2023-04-05},  
  howpublished = "WebPage"
}

 
@article{altman1995statistics,
  title={Statistics notes: Absence of evidence is not evidence of absence},
  author={Altman, Douglas G and Bland, J Martin},
  journal={{BMJ}},
  volume={311},
  number={7003},
  month = {8},
  pages={485-485},
  year={1995},
  publisher={British Medical Journal Publishing Group},
  doi = {10.1136/bmj.311.7003.485}
}

@article{bartolucci2011meta,
  title={Meta-analysis of multiple primary prevention trials of cardiovascular events using aspirin},
  author={Bartolucci, Alfred A and Tendera, Michal and Howard, George},
  journal={The American Journal of Cardiology},
  volume={107},
  number={12},
  pages={1796--1801},
  year={2011},
  publisher={Elsevier},
  doi = {10.1016/j.amjcard.2011.02.325}
}

@article{sullivan2012using,
  title={Using effect size—or why the P value is not enough},
  author={Sullivan, Gail M and Feinn, Richard},
  journal={Journal of graduate medical education},
  volume={4},
  number={3},
  pages={279--282},
  year={2012},
  publisher={The Accreditation Council for Graduate Medical Education Suite 2000, 515~…},
  doi = {10.4300/JGME-D-12-00156.1}
}

@article{keysers2020using,
  title={Using Bayes factor hypothesis testing in neuroscience to establish evidence of absence},
  author={Keysers, Christian and Gazzola, Valeria and Wagenmakers, Eric-Jan},
  journal={Nature neuroscience},
  volume={23},
  number={7},
  pages={788--799},
  year={2020},
  publisher={Nature Publishing Group US New York},
  doi = {10.1038/s41593-020-0660-4}
}


@book{Berger2013,
  title={Statistical decision theory and Bayesian analysis},
  author={Berger, J. O.},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@article{kelter2020bayesian,
  title={Bayesian alternatives to null hypothesis significance testing in biomedical research: a non-technical introduction to Bayesian inference with JASP},
  author={Kelter, Riko},
  journal={BMC Medical Research Methodology},
  volume={20},
  number={1},
  pages={1--12},
  year={2020},
  publisher={BioMed Central},
  doi = {10.1186/s12874-020-00980-6}
}

@article{rouder2009bayesian,
  title={Bayesian t tests for accepting and rejecting the null hypothesis},
  author={Rouder, Jeffrey N and Speckman, Paul L and Sun, Dongchu and Morey, Richard D and Iverson, Geoffrey},
  journal={Psychonomic bulletin \& review},
  volume={16},
  pages={225--237},
  year={2009},
  publisher={Springer},
  doi = {10.3758/PBR.16.2.225}
}

@article{Cecato2016,
  title={{A subtest analysis of the Montreal cognitive assessment (MoCA): which subtests can best discriminate between healthy controls, mild cognitive impairment and Alzheimer's disease?}},
  author={Cecato, J. F. and Martinelli, J. E. and Izbicki, R. and Yassuda, M. S. and Aprahamian, I.},
  journal={International Psychogeriatrics},
  volume={28},
  number={5},
  pages={825--832},
  year={2016},
  publisher={Cambridge University Press},
  doi = {10.1017/S1041610215001982}
}

@article{campbell2020equivalence,
  title={Equivalence testing for standardized effect sizes in linear regression},
  author={Campbell, Harlan},
  journal={arXiv preprint arXiv:2004.01757},
  year={2020},
  doi = {10.48550/arXiv.2004.01757}
}


@online{alter2021determining,
 title={Determining Negligible Associations in Regression},
 url = {https://doi.org/10.17605/OSF.IO/W96XE},
 publisher={PsyArXiv},
 howpublished = {PsyArXiv preprint osf.io/w96xe/},
 author={Alter, Udi and Counsell, Alyssa},
 urldate = {13-07-2025},
 year={2021},
 month={6}
}


@article{berg2004no,
  title={No-decision classification: an alternative to testing for statistical significance},
  author={Berg, Nathan},
  journal={The Journal of Socio-Economics},
  volume={33},
  number={5},
  pages={631--650},
  year={2004},
  publisher={Elsevier},
  doi = {10.1016/j.socec.2004.09.036}
}

@article{jones2000sensible,
  title={A sensible formulation of the significance test.},
  author={Jones, Lyle V. and Tukey, John W},
  journal={Psychological methods},
  volume={5},
  number={4},
  pages={411},
  year={2000},
  publisher={American Psychological Association},
  doi = {10.1037/1082-989x.5.4.411}
}

@article{vaughan1969beyond,
  title={Beyond tests of significance: estimating strength of effects in selected ANOVA designs.},
  author={Vaughan, Graham M. and Corballis, Michael C.},
  journal={Psychological bulletin},
  volume={72},
  number={3},
  pages={204},
  year={1969},
  publisher={American Psychological Association},
  doi = {10.1037/h0027878}
}

@article{fossaluza2017coherent,
  title={Coherent hypothesis testing},
  author={Fossaluza, Victor and Izbicki, Rafael and da Silva, Gustavo Miranda and Esteves, Lu{\'\i}s Gustavo},
  journal={The American Statistician},
  volume={71},
  number={3},
  pages={242--248},
  year={2017},
  publisher={Taylor \& Francis},
  doi = {10.1080/00031305.2016.1237893}
}


@article{da2015bayesian,
  title={A {B}ayesian decision-theoretic approach to logically-consistent hypothesis testing},
  author={Da Silva, Gustavo Miranda and Esteves, Luis Gustavo and Fossaluza, Victor and Izbicki, Rafael and Wechsler, Sergio},
  journal={Entropy},
  volume={17},
  number={10},
  pages={6534--6559},
  year={2015},
  publisher={MDPI},
  doi = {10.3390/e17106534}
}


@article{izbicki2012testing,
  title={Testing allele homogeneity: the problem of nested hypotheses},
  author={Izbicki, Rafael and Fossaluza, Victor and Hounie, Ana Gabriela and Nakano, Eduardo Yoshio and de Braganca Pereira, Carlos Alberto},
  journal={BMC genetics},
  volume={13},
  pages={1--11},
  year={2012},
  publisher={Springer},
  doi = {10.1186/1471-2156-13-103}
}


@book{hays1963statistics,
  title={Statistics for psychologists},
  author={Hays, William Lee},
  publisher={Holt, Rinehart \&. Winston},
  address={New York},
  year={1963}
}

@article{campbell2018conditional,
  title={Conditional equivalence testing: An alternative remedy for publication bias},
  author={Campbell, Harlan and Gustafson, Paul},
  journal={PloS one},
  volume={13},
  number={4},
  pages={e0195145},
  year={2018},
  publisher={Public Library of Science San Francisco, CA USA},
  doi = {10.1371/journal.pone.0195145}
}


@article{rice2023three,
  title={Three-Decision Methods: A Sensible Formulation of Significance Tests—and Much Else},
  author={Rice, Kenneth M. and Krakauer, Chloe A.},
  journal={Annual Review of Statistics and Its Application},
  volume={10},
  year={2023},
  publisher={Annual Reviews},
  doi = {10.1146/annurev-statistics-033021-111159}
}

@article{hansen2023coherent,
  title={Coherent tests for interval null hypotheses},
  author={Hansen, Spencer and Rice, Ken},
  journal={The American Statistician},
  volume={77},
  number={1},
  pages={20--28},
  year={2023},
  publisher={Taylor \& Francis},
  doi = {10.1080/00031305.2022.2050299}
}


@article{zhao2016considering,
  title={Considering both statistical and clinical significance},
  author={Zhao, Guolong},
  journal={International Journal of Statistics and Probability},
  volume={5},
  number={5},
  pages={16},
  year={2016},
  doi = {10.5539/ijsp.v5n5p16}
}


@article{Chow2016,
  title={Analytical similarity assessment in biosimilar studies},
  author={Chow, S. C. and Song, F. and Bai, H.},
  journal={The AAPS journal},
  volume={18},
  number={3},
  pages={670--677},
  year={2016},
  publisher={Springer}
}

@article{Cohen1992,
  title={A power primer.},
  author={Cohen, Jacob},
  journal={Psychological bulletin},
  volume={112},
  number={1},
  pages={155},
  year={1992},
  publisher={American Psychological Association}
}

@article{Coscrato2018,
    author = {Victor Coscrato and Rafael Izbicki and Rafael B. Stern},
    title = {{Agnostic tests can control the type I and type II errors simultaneously}},
    volume = {34},
    journal = {Brazilian Journal of Probability and Statistics},
    number = {2},
    publisher = {Brazilian Statistical Association},
    pages = {230 -- 250},
    keywords = {hypothesis test, logical consistency, three-decision problem, uniformly most powerful tests},
    year = {2020},
    doi = {10.1214/19-BJPS431},
}

@book{Degroot2005,
  title={Optimal statistical decisions},
  author={DeGroot, M. H.},
  volume={82},
  year={2005},
  publisher={John Wiley \& Sons}
}

@book{Degroot2012,
  title={Probability and statistics},
  author={DeGroot, M. H. and Schervish, M. J.},
  year={2012},
  publisher={Pearson Education}
}


@inproceedings{cohen1992things,
  title={Things {I} have learned (so far).},
  author={Cohen, Jacob},
  booktitle={98th Annual Convention of the American Psychological Association}
  month = {Aug}, 
  address = {Boston, MA},
  year={1992},
  organization={American Psychological Association},
  doi = {10.1037/0003-066X.45.12.1304}
}

@article{lavine1999bayes,
  title={Bayes factors: What they are and what they are not},
  author={Lavine, Michael and Schervish, Mark J},
  journal={The American Statistician},
  volume={53},
  number={2},
  pages={119--122},
  year={1999},
  publisher={Taylor \& Francis},
  doi = {10.1080/00031305.1999.10474443}
}

@article{gill1999insignificance,
  title={The insignificance of null hypothesis significance testing},
  author={Gill, Jeff},
  journal={Political research quarterly},
  volume={52},
  number={3},
  pages={647--674},
  year={1999},
  publisher={University of Utah 260 SO. Central Campus Drive, RM. 252, Salt Lake City~…},
  doi = {10.1177/106591299905200309}
}

@article{cohen1994earth,
  title = {The earth is round (p $<$ .05).},
  volume = {49},
  ISSN = {0003-066X},
  DOI = {10.1037/0003-066x.49.12.997},
  number = {12},
  journal = {American Psychologist},
  publisher = {American Psychological Association},
  author = {Cohen,  Jacob},
  year = {1994},
  month = {12},
  pages = {997–1003}
}

@book{Diggle2011,
  title={Statistics and scientific method:
  an introduction for students and researchers},
  author={Diggle, P. J. and Chetwynd, A. G.},
  year={2011},
  publisher={Oxford University Press},
  doi = {10.1093/acprof:oso/9780199543182.001.0001}
}

@incollection{lecoutre2022significance,
  title={The significance test controversy revisited},
  author={Lecoutre, Bruno and Poitevineau, Jacques},
  booktitle={The Significance Test Controversy Revisited: The Fiducial Bayesian Alternative},
  pages={41--54},
  year={2022},
  editor = {Bruno Lecoutre},
  address = {Berlin},
  publisher={Springer},
  doi = {10.1007/978-3-662-65705-8}
}

@article{Edwards1963,
  title={Bayesian statistical inference for psychological research.},
  author={Edwards, Ward and Lindman, Harold and Savage, Leonard J.},
  journal={Psychological Review},
  volume={70},
  number={3},
  pages={193},
  year={1963},
  publisher={American Psychological Association},
  doi = {10.1037/h0044139}
}

@book{wellek2010testing,
  title={Testing statistical hypotheses of equivalence and noninferiority},
  author={Wellek, Stefan},
  year={2010},
  publisher={CRC press},
  doi = {10.1201/EBK1439808184}
}

@article{mehra2020retracted,
  title = {RETRACTED: Hydroxychloroquine or chloroquine with or without a macrolide for treatment of COVID-19: a multinational registry analysis},
  ISSN = {0140-6736},
  DOI = {10.1016/s0140-6736(20)31180-6},
  journal = {The Lancet},
  publisher = {Elsevier BV},
  author = {Mehra, Mandeep R. and Desai, Sapan S. and Ruschitzka, Frank and Patel, Amit N.},
  year = {2020},
  month = {5} 
}


@article{jefferson2023physical,
  title={Physical interventions to interrupt or reduce the spread of respiratory viruses},
  author={Jefferson, Tom and Dooley, Liz and Ferroni, Eliana and Al-Ansary, Lubna A and van Driel, Mieke L and Bawazeer, Ghada A and Jones, Mark A and Hoffmann, Tammy C and Clark, Justin and Beller, Elaine M and others},
  journal={Cochrane database of systematic reviews},
  number={1},
  year={2023},
  publisher={John Wiley \& Sons, Ltd},
  doi = {10.1002/14651858.CD006207.pub6}
}

@article{lakens2017equivalence,
  title={Equivalence tests: A practical primer for t tests, correlations, and meta-analyses},
  author={Lakens, Dani{\"e}l},
  journal={Social psychological and personality science},
  volume={8},
  number={4},
  pages={355--362},
  year={2017},
  publisher={Sage Publications Sage CA: Los Angeles, CA},
  doi = {10.1177/1948550617697177}
}


@article{lakens2018equivalence,
  title={Equivalence testing for psychological research: A tutorial},
  author={Lakens, Dani{\"e}l and Scheel, Anne M and Isager, Peder M},
  journal={Advances in Methods and Practices in Psychological Science},
  volume={1},
  number={2},
  pages={259--269},
  year={2018},
  publisher={Sage Publications Sage CA: Los Angeles, CA},
  doi = {10.1177/2515245918770963}
}

@article{wellek2012establishing,
  title={Establishing equivalence or non-inferiority in clinical trials: part 20 of a series on evaluation of scientific publications},
  author={Wellek, Stefan and Blettner, Maria},
  journal={Deutsches {\"A}rzteblatt International},
  volume={109},
  number={41},
  pages={674},
  year={2012},
  publisher={Deutscher Arzte-Verlag GmbH},
  doi = {10.3238/arztebl.2012.0674}
}


@article{walker2011understanding,
  title={Understanding equivalence and noninferiority testing},
  author={Walker, Esteban and Nowacki, Amy S},
  journal={Journal of general internal medicine},
  volume={26},
  pages={192--196},
  year={2011},
  publisher={Springer},
  doi = {10.1007/s11606-010-1513-8}
}


@article{meyners2012equivalence,
  title={Equivalence tests--A review},
  author={Meyners, Michael},
  journal={Food quality and preference},
  volume={26},
  number={2},
  pages={231--245},
  year={2012},
  publisher={Elsevier},
  doi = {10.1016/j.foodqual.2012.05.003}
}


@article{smith2020p,
  title={P>. 05: The incorrect interpretation of “not significant” results is a significant problem},
  author={Smith, Richard J},
  journal={American journal of physical anthropology},
  volume={172},
  number={4},
  pages={521--527},
  year={2020},
  publisher={Wiley Online Library},
  doi = {10.1002/ajpa.24092}
}


@article{weber2012testing,
  title={Testing equivalence in communication research: Theory and application},
  author={Weber, Ren{\'e} and Popova, Lucy},
  journal={Communication methods and measures},
  volume={6},
  number={3},
  pages={190--213},
  year={2012},
  publisher={Taylor \& Francis},
  doi = {10.1080/19312458.2012.703834}
}


@article{rainey2014,
  doi = {10.1111/ajps.12102},
  year = {2014},
  month = mar,
  publisher = {Wiley},
  volume = {58},
  number = {4},
  pages = {1083--1091},
  author = {Carlisle Rainey},
  title = {Arguing for a Negligible Effect},
  journal = {American Journal of Political Science}
}


@book{friedman2015fundamentals,
  title={Fundamentals of clinical trials},
  author={Friedman, Lawrence M. and Furberg, Curt D. and DeMets, David L. and Reboussin, David M. and Granger, Christopher B.},
  year={2015},
  publisher={Springer},
  doi = {10.1007/978-3-319-18539-2}
}


@article{julious2004sample,
  title={Sample sizes for clinical trials with normal data},
  author={Julious, Steven A.},
  journal={Statistics in medicine},
  volume={23},
  number={12},
  pages={1921--1986},
  year={2004},
  publisher={Wiley Online Library},
  doi = {10.1002/sim.1783}
}


@article{tryon2001evaluating,
  title={Evaluating statistical difference, equivalence, and indeterminacy using inferential confidence intervals: an integrated alternative method of conducting null hypothesis statistical tests.},
  author={Tryon, Warren W.},
  journal={Psychological methods},
  volume={6},
  number={4},
  pages={371},
  year={2001},
  publisher={American Psychological Association},
  doi = {10.1037/1082-989x.6.4.371}
}


@inproceedings{wang1999multiple,
  title={Multiple hypothesis testing method for decision making},
  author={Wang, Xiao-gang and Shen, Helen C.},
  booktitle={Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No. 99CH36288C)},
  volume={3},
  pages={2090--2095},
  year={1999},
  month = {January},
  address = {Washington},
  organization={IEEE},
  doi = {10.1109/ROBOT.1999.770415}
}


@book{gupta1981multiple,
  title = {Multiple Statistical Decision Theory: Recent Developments},
  ISBN = {9781461259251},
  ISSN = {0930-0325},
  DOI = {10.1007/978-1-4612-5925-1},
  journal = {Lecture Notes in Statistics},
  publisher = {Springer New York},
  author = {Gupta, Shanti S. and Huang, Deng-Yuan},
  year = {1981}
}

@article{lehmann1957theory,
  title = {A Theory of some Multiple Decision Problems,  I},
  volume = {28},
  ISSN = {0003-4851},
  DOI = {10.1214/aoms/1177707034},
  number = {1},
  journal = {The Annals of Mathematical Statistics},
  publisher = {Institute of Mathematical Statistics},
  author = {Lehmann, E. L.},
  year = {1957},
  month = mar,
  pages = {1–25}
}

@article{Esteves2016,
  title={The logical consistency of
  simultaneous agnostic hypothesis tests},
  author={Esteves, L. G. and Izbicki, R. and Stern, J. M. and Stern, R. B.},
  journal={Entropy},
  volume={18},
  number={7},
  pages={256},
  year={2016},
  publisher={Multidisciplinary Digital Publishing Institute},
  doi = {10.3390/e18070256}
}

@article{Faber2014,
  title={How sample size influences research outcomes},
  author={Faber, Jorge and Fonseca, Lilian Martins},
  journal={Dental Press Journal of Orthodontics},
  volume={19},
  number={4},
  pages={27--29},
  year={2014},
  publisher={SciELO Brasil},
  doi = {10.1590/2176-9451.19.4.027-029.ebo}
}

@article{Fisher1959,
  title={Mathematical probability in the natural sciences},
  author={Fisher, Ronald A.},
  journal={Technometrics},
  volume={1},
  number={1},
  pages={21--29},
  year={1959},
  publisher={Taylor \& Francis Group}
}

@article{Fossaluza2017,
  title={Coherent hypothesis testing},
  author={Fossaluza, V. and Izbicki, R. and da Silva, G. M. and Esteves, L. G.},
  journal={The American Statistician},
  volume={71},
  number={3},
  pages={242--248},
  year={2017},
  publisher={Taylor \& Francis}
}

@article{Greenland2016,
  title={Statistical tests, P values, confidence intervals,
  and power: a guide to misinterpretations},
  author={Greenland, S. and Senn, S. J. and Rothman, K. J. and Carlin, J. B. and Poole, C. and Goodman, S. N. and Altman, D. G.},
  journal={European Journal of Epidemiology},
  volume={31},
  number={4},
  pages={337--350},
  year={2016},
  publisher={Springer},
  doi = {10.1007/s10654-016-0149-3}
}

@article{Izbicki2015,
  title={Logical consistency in simultaneous statistical test procedures},
  author={Izbicki, Rafael and Esteves, Lu{\'\i}s Gustavo},
  journal={Logic Journal of the {IGPL}},
  volume={23},
  number={5},
  pages={732--758},
  year={2015},
  publisher={OUP},
  doi = {10.1093/jigpal/jzv027}
}

@article{Jeske2017,
  title={Maximizing the usefulness of
  statistical classifiers for two populations with
  illustrative applications},
  author={Jeske, D. R. and Smith, S.},
  journal={Statistical methods in medical research},
  year={2017},
  volume = {99},
  pages = {1-99},
  publisher={SAGE Publications Sage UK: London, England}
}

@article{Jeske2017b,
  title={Two-stage classifiers that minimize PCA3 and
  the PSA proteolytic activity testing in
  the prediction of prostate cancer recurrence after
  radical prostatectomy.},
  author={Jeske, D. R. and Linehan, J. A. and Wilson, T. G. and Kawachi, M. H. and Wittig, K. and
  Lamparska, K. and Amparo, C. and Mejia, R. and Lai, F. and Georganopoulou, D. and Steven, S. S.},
  journal={The Canadian journal of urology},
  volume={24},
  number={6},
  pages={9089--9097},
  year={2017}
}

@article{Kadane2016,
  title={Beyond Hypothesis Testing},
  author={Kadane, J. B.},
  journal={Entropy},
  volume={18},
  number={5},
  pages={199},
  year={2016},
  publisher={Multidisciplinary Digital Publishing Institute},
  doi = {10.3390/e18050199}
}

@article{Lei2014,
  title={Classification with confidence},
  author={Lei, J.},
  journal={Biometrika},
  volume={101},
  number={4},
  pages={755--769},
  year={2014},
  publisher={Oxford University Press}
}

@article{Neyman1933,
  title={IX. On the problem of the most efficient tests of statistical hypotheses},
  author={Neyman, Jerzy and Pearson, Egon S},
  journal={Philosophical Transactions of the Royal Society of London A},
  volume={231},
  number={694-706},
  pages={289--337},
  year={1933},
  publisher={The Royal Society}
}

@article{Neyman1976,
 title={Tests of statistical hypotheses and their use in studies of natural phenomena},
 author={Neyman, Jerzy},
 journal={Communications in statistics -- {T}heory and methods},
 volume={5},
 number={8},
 pages={737--751},
 year={1976},
 publisher={Taylor \& Francis},
 doi = {10.1080/03610927608827392}
}

@article {Pike2019,
	author = {Pike, Harriet},
	title = {Statistical significance should be abandoned, say scientists},
	volume = {364},
	elocation-id = {l1374},
	year = {2019},
	doi = {10.1136/bmj.l1374},
	publisher = {BMJ Publishing Group Ltd},
	issn = {0959-8138},
	URL = {https://www.bmj.com/content/364/bmj.l1374},
	journal = {BMJ}
}


@article{fidler2018epistemic,
  title={The epistemic importance of establishing the absence of an effect},
  author={Fidler, Fiona and Singleton Thorn, Felix and Barnett, Ashley and Kambouris, Steven and Kruger, Ariel},
  journal={Advances in Methods and Practices in Psychological Science},
  volume={1},
  number={2},
  pages={237--244},
  year={2018},
  publisher={Sage Publications Sage CA: Los Angeles, CA},
  doi = {10.1177/2515245918770407}
}


@article{wasserstein2016asa,
  title={The ASA statement on p-values: context, process, and purpose},
  author={Wasserstein, Ronald L. and Lazar, Nicole A.},
  journal={The American Statistician},
  volume={70},
  number={2},
  pages={129--133},
  year={2016},
  publisher={Taylor \& Francis},
  doi = {10.1080/00031305.2016.1154108}
}


@article{berger1996bioequivalence,
  title={Bioequivalence trials, intersection-union tests and equivalence confidence sets},
  author={Berger, Roger L. and Hsu, Jason C.},
  journal={Statistical Science},
  volume={11},
  number={4},
  pages={283--319},
  year={1996},
  publisher={Institute of Mathematical Statistics},
  doi = {10.1214/ss/1032280304}
}

@article{zhao2022b,
  title={B-value and empirical equivalence bound: A new procedure of hypothesis testing},
  author={Zhao, Yi and Caffo, Brian S. and Ewen, Joshua B.},
  journal={Statistics in Medicine},
  volume={41},
  number={6},
  pages={964--980},
  year={2022},
  publisher={Wiley Online Library},
  doi = {10.1002/sim.9298}
}


@article{kruschke2018bayesian,
  title={The Bayesian New Statistics: Hypothesis testing, estimation, meta-analysis, and power analysis from a Bayesian perspective},
  author={Kruschke, John K. and Liddell, Torrin M.},
  journal={Psychonomic bulletin \& review},
  volume={25},
  pages={178--206},
  year={2018},
  publisher={Springer},
  doi = {10.3758/s13423-016-1221-4}
}


@article{goulet2018review,
  title={A review of effect sizes and their confidence intervals, Part I: The Cohen’sd family},
  author={Goulet-Pelletier, Jean-Christophe and Cousineau, Denis},
  journal={The Quantitative Methods for Psychology},
  volume={14},
  number={4},
  pages={242--265},
  year={2018},
  publisher={The Quantitative Methods for Psychology},
  doi = {10.20982/tqmp.14.4.p242}
}


@online{kruschke, 
  title={Equivalence testing (two one-sided test) and NHST compared with HDI and rope}, 
  url={http://doingbayesiandataanalysis.blogspot.com/2017/02/equivalence-testing-two-one-sided-test.html}, 
  journal={Equivalence testing (two one-sided test) and NHST compared with HDI and ROPE}, 
  author={Kruschke, John K.},year={2017},  
  urldate = {2023-04-13}, 
  howpublished = "WebPage"
} 

@article{kruschke2010bayesian,
  title={Bayesian data analysis},
  author={Kruschke, John K.},
  journal={Wiley Interdisciplinary Reviews: Cognitive Science},
  volume={1},
  number={5},
  pages={658--676},
  year={2010},
  publisher={Wiley Online Library},
  doi = {10.1002/wcs.72}
}


@article{kruschke2018rejecting,
  title={Rejecting or accepting parameter values in Bayesian estimation},
  author={Kruschke, John K.},
  journal={Advances in methods and practices in psychological science},
  volume={1},
  number={2},
  pages={270--280},
  year={2018},
  publisher={Sage Publications Sage CA: Los Angeles, CA},
  doi = {10.1177/2515245918771304}
}

@article{dixon2005statistical,
  title={A statistical test to show negligible trend},
  author={Dixon, Philip M. and Pechmann, Joseph H. K. },
  journal={Ecology},
  volume={86},
  number={7},
  pages={1751--1756},
  year={2005},
  publisher={Wiley Online Library},
  doi = {10.1890/04-1343}
}

@article{bonferroni1936teoria,
  title={Teoria statistica delle classi e calcolo delle probabilita},
  author={Bonferroni, Carlo},
  journal={Pubblicazioni del {R} Istituto Superiore di Scienze Economiche e Commericiali di Firenze},
  volume={8},
  pages={3--62},
  year={1936}
}

@article{kirk2007effect,
  title={Effect magnitude: A different focus},
  author={Kirk, Roger E.},
  journal={Journal of statistical planning and inference},
  volume={137},
  number={5},
  pages={1634--1646},
  year={2007},
  publisher={Elsevier},
  doi = {10.1016/j.jspi.2006.09.011}
}


@book{ellis2010essential,
  title={The essential guide to effect sizes: Statistical power, meta-analysis, and the interpretation of research results},
  author={Ellis, Paul D.},
  year={2010},
  publisher={Cambridge University Press},
  doi = {10.1017/CBO9780511761676}
}


@article{fritz2012effect,
  title={Effect size estimates: current use, calculations, and interpretation.},
  author={Fritz, Catherine O. and Morris, Peter E. and Richler, Jennifer J.},
  journal={Journal of Experimental Psychology: General},
  volume={141},
  number={1},
  pages={2},
  year={2012},
  publisher={American Psychological Association},
  doi = {10.1037/a0024338}
}


@article{pearson1920notes,
  title={Notes on the history of correlation},
  author={Pearson, Karl},
  journal={Biometrika},
  volume={13},
  number={1},
  pages={25--45},
  year={1920},
  publisher={JSTOR},
  doi = {10.1093/biomet/13.1.25}
}


@book{cohen2013statistical,
  title = {Statistical Power Analysis for the Behavioral Sciences},
  ISBN = {9781134742707},
  DOI = {10.4324/9780203771587},
  publisher = {Routledge},
  author = {Cohen, Jacob},
  year = {2013},
  edition = {2},
  month = {5},
  note={Chapter 2, pg. 20}
}


@book{mayo2018statistical,
  title={Statistical inference as severe testing: How to get beyond the statistics wars},
  author={Mayo, Deborah G.},
  year={2018},
  publisher={Cambridge University Press},
  doi = {10.1017/9781107286184}
}


@article{mayo2006severe,
  title={Severe testing as a basic concept in a {N}eyman--{P}earson philosophy of induction},
  author={Mayo, Deborah G. and Spanos, Aris},
  journal={The British Journal for the Philosophy of Science},
  year={2006},
  publisher={The University of Chicago Press},
  doi = {10.1093/bjps/axl003}
}


@article{Trafimow2015,
author = {David Trafimow and Michael Marks},
title = {Editorial},
journal = {Basic and Applied Social Psychology},
volume = {37},
number = {1},
pages = {1-2},
year  = {2015},
publisher = {Routledge},
doi = {10.1080/01973533.2015.1012991},
}


@article{counsell2015equivalence,
  title={Equivalence tests for comparing correlation and regression coefficients},
  author={Counsell, Alyssa and Cribbie, Robert A.},
  journal={British Journal of Mathematical and Statistical Psychology},
  volume={68},
  number={2},
  pages={292--309},
  year={2015},
  publisher={Wiley Online Library},
  doi = {10.1111/bmsp.12045}
}

@book{tukey1953problem,
  title={The problem of multiple comparisons},
  author={Tukey, John Wilder},
  year={1953},
  publisher={Chapman and Hall},
  address = {Washington}
}


@article{mara2012paired,
  title={Paired-samples tests of equivalence},
  author={Mara, Constance A. and Cribbie, Robert A.},
  journal={Communications in Statistics-Simulation and Computation},
  volume={41},
  number={10},
  pages={1928--1943},
  year={2012},
  publisher={Taylor \& Francis},
  doi = {10.1080/03610918.2011.626545}
}


@article{robinson2005regression,
  title={A regression-based equivalence test for model validation: shifting the burden of proof},
  author={Robinson, Andrew P. and Duursma, Remko A. and Marshall, John D.},
  journal={Tree physiology},
  volume={25},
  number={7},
  pages={903--913},
  year={2005},
  publisher={Heron Publishing},
  doi = {10.1093/treephys/25.7.903}
}


@article{leung2020non,
  title={Non-inferiority trials in cardiology: what clinicians need to know},
  author={Leung, James T. and Barnes, Stephanie L. and Lo, Sidney T. and Leung, Dominic Y.},
  journal={Heart},
  volume={106},
  number={2},
  pages={99--104},
  year={2020},
  publisher={BMJ Publishing Group Ltd and British Cardiovascular Society},
  doi = {10.1136/heartjnl-2019-315772}
}


@article{esteves2023logical,
  title={Logical coherence in Bayesian simultaneous three-way hypothesis tests},
  author={Esteves, Lu{\'\i}s G. and Izbicki, Rafael and Stern, Julio M. and Stern, Rafael B.},
  journal={International Journal of Approximate Reasoning},
  volume={152},
  pages={297--309},
  year={2023},
  publisher={Elsevier},
  doi = {10.1016/j.ijar.2022.10.019}
}


@article{schuirmann1987comparison,
  title={A comparison of the two one-sided tests procedure and the power approach for assessing the equivalence of average bioavailability},
  author={Schuirmann, Donald J.},
  journal={Journal of pharmacokinetics and biopharmaceutics},
  volume={15},
  pages={657--680},
  year={1987},
  publisher={Springer},
  doi = {10.1007/bf01068419}
}


@article{hauck1984new,
  title={A new statistical procedure for testing equivalence in two-group comparative bioavailability trials},
  author={Hauck, Walter W. and Anderson, Sharon},
  journal={Journal of pharmacokinetics and biopharmaceutics},
  volume={12},
  number={1},
  pages={83--91},
  year={1984},
  publisher={Springer}
}


@article{schuirmann1981hypothesis,
  title={On hypothesis-testing to determine if the mean of a normal-distribution is contained in a known interval},
  author={Schuirmann, D. L.},
  journal={Biometrics},
  volume={37},
  number={3},
  pages={617--617},
  year={1981},
}


@article{westlake1981response,
  title={Response to TBL Kirkwood: bioequivalence testing--a need to rethink},
  author={Westlake, W. J.},
  journal={Biometrics},
  volume={37},
  number={3},
  pages={589--594},
  year={1981},
  doi = {10.2307/2530573}
}


@article{Roth1986,
  title={{CAMDEX}: a standardised instrument for the diagnosis of mental disorder in the elderly with special reference to the early detection of dementia},
  author={Roth, M. and Tym, E. and Mountjoy, C. Q. and Huppert, F. A. and Hendrie, H. and Verma, S. and Goddard, R.},
  journal={The British journal of psychiatry},
  volume={149},
  number={6},
  pages={698--709},
  year={1986},
  publisher={Cambridge University Press},
  doi = {10.1192/bjp.149.6.698}
}

@article{Sadinle2017,
  title={Least ambiguous set-valued classifiers with
  bounded error levels},
  author={Sadinle, M. and Lei, J. and Wasserman, L.},
  journal={Journal of the American Statistical Association},
  number={just-accepted},
  year={2017},
  volume = {99},
  pages = {1-99},
  publisher={Taylor \& Francis}
}

@article{Stern2017,
  title={Logically-consistent hypothesis testing and
  the hexagon of oppositions},
  author={Stern, J. Michael and Izbicki, R. and Esteves, L. G. and Stern, R. B.},
  journal={Logic Journal of the IGPL},
  volume={25},
  number={5},
  pages={741--757},
  year={2017},
  publisher={Oxford University Press},
  doi = {10.1093/jigpal/jzx024}
}

@article{westlake1976symmetrical,
  title={Symmetrical confidence intervals for bioequivalence trials},
  author={Westlake, Wilfred J.},
  journal={Biometrics},
  pages={741--744},
  year={1976},
  publisher={JSTOR},
  doi = {10.2307/2529259}
}

@article{goeman2010three,
  title={Three-sided hypothesis testing: simultaneous testing of superiority, equivalence and inferiority},
  author={Goeman, Jelle J. and Solari, Aldo and Stijnen, Theo},
  journal={Statistics in medicine},
  volume={29},
  number={20},
  pages={2117--2125},
  year={2010},
  publisher={Wiley Online Library},
  doi = {10.1002/sim.4002}
}

@article{patriota2013classical,
  title={A classical measure of evidence for general null hypotheses},
  author={Patriota, Alexandre G.},
  journal={Fuzzy Sets and Systems},
  volume={233},
  pages={74--88},
  year={2013},
  publisher={Elsevier},
  doi = {10.1016/j.fss.2013.03.007}
}


@book{diez2012openintro,
  title={OpenIntro statistics},
  author={Diez, David M. and Barr, Christopher D. and Cetinkaya-Rundel, Mine},
  year={2012},
  publisher={OpenIntro Boston, MA, USA},
  doi = {10.5070/t573020084}
}

@book{schervish1995,
  title = {Theory of Statistics},
  ISBN = {9781461242505},
  ISSN = {2197-568X},
  DOI = {10.1007/978-1-4612-4250-5},
  journal = {Springer Series in Statistics},
  publisher = {Springer New York},
  author = {Schervish,  Mark J.},
  year = {1995}
}


@article{Esteves2019,
  title={Pragmatic hypotheses in the evolution of science},
  author={Esteves, Luis Gustavo and Izbicki, Rafael and Stern, Julio Michael and Stern, Rafael Bassi},
  journal={Entropy},
  volume={21},
  number={9},
  pages={883},
  year={2019},
  publisher={MDPI},
  doi = {10.3390/e21090883}
}

@article{Trafimow2018,
  title={Manipulating the alpha level cannot cure significance testing},
  author={Trafimow, David and Amrhein, Valentin and Areshenkoff, Corson N and Barrera-Causil, Carlos J and Beh, Eric J and Bilgi{\c{c}}, Yusuf K and Bono, Roser and Bradley, Michael T and Briggs, William M and Cepeda-Freyre, H{\'e}ctor A and others},
  journal={Frontiers in Psychology},
  volume={9},
  year={2018},
  publisher={Frontiers Media SA},
  doi = {10.3389/fpsyg.2018.00699}
}

@book{Wasserman2013,
  title={All of statistics:
  a concise course in statistical inference},
  author={Wasserman, L.},
  year={2013},
  publisher={Springer Science \& Business Media},
  doi = {10.1007/978-0-387-21736-9}
}

@article{Wasserstein2019,
author = {Ronald L. Wasserstein and Allen L. Schirm and Nicole A. Lazar},
title = {Moving to a World Beyond $p<0.05$},
journal = {The American Statistician},
volume = {73},
number = {sup1},
pages = {1-19},
year  = {2019},
publisher = {Taylor & Francis},
doi = {10.1080/00031305.2019.1583913},
}

@article{bauer1996unifying,
  title={A unifying approach for confidence intervals and testing of equivalence and difference},
  author={Bauer, Peter and Kieser, Meinhard},
  journal={Biometrika},
  volume={83},
  number={4},
  pages={934--937},
  year={1996},
  publisher={Oxford University Press},
  doi = {10.1093/biomet/83.4.934}
}


@article{Pereira1999,
  title={Evidence and credibility: full Bayesian significance test for precise hypotheses},
  author={Pereira, C. A. de B. and Stern, J. M.},
  journal={Entropy},
  volume={1},
  number={4},
  pages={99--110},
  year={1999},
  doi = {10.3390/e1040099}
}

@article{campo2008interpretation,
  title={Interpretation of research in physical therapy: Limitations of null hypothesis significance testing},
  author={Campo, Marc and Lichtman, Steven W},
  journal={Journal of Physical Therapy Education},
  volume={22},
  number={1},
  pages={43--48},
  year={2008},
  doi = {10.1097/00001416-200801000-00007}
}


@article{Teixeira2022,
  year = {2022},
  month = may,
  publisher = {Springer Science and Business Media},
  author = {Roberta da Silva Teixeira and Isabela Fonseca Nazareth and Luiza Campos de Paula and Graciela Paula do Nascimento Duque and Fernando Ant{\^{o}}nio Basile Colugnati},
  title = {Adherence to Computational Technologies for the Treatment of Smoking Cessation: Systematic Review and Meta-analysis},
  journal = {International Journal of Mental Health and Addiction},
  doi = {10.1007/s11469-022-00839-5}
}

@article{Citrome2011,
    author = {Leslie Citrome},
    title = {The Tyranny of the P-value: Effect Size Matters},
    journal = {Klinik Psikofarmakoloji Bülteni-Bulletin of Clinical Psychopharmacology},
    volume = {21},
    number = {2},
    pages = {91-92},
    year  = {2011},
    publisher = {Taylor & Francis},
    doi = {10.5455/bcp.20110706020600}
}

@article{Cahill2016,
  year = {2016},
  month = may,
  publisher = {Wiley},
  author = {Kate Cahill and Nicola Lindson-Hawley and Kyla H. Thomas and Thomas R Fanshawe and Tim Lancaster},
  title = {Nicotine receptor partial agonists for smoking cessation},
  journal = {Cochrane Database of Systematic Reviews},
  doi = {10.1002/14651858.CD006103.pub7}
}

@article{Stead2012,
  year = {2012},
  month = nov,
  publisher = {Wiley},
  author = {Lindsay F. Stead and Rafael Perera and Chris Bullen and David Mant and Jamie Hartmann-Boyce and Kate Cahill and Tim Lancaster},
  title = {Nicotine replacement therapy for smoking cessation},
  journal = {Cochrane Database of Systematic Reviews},
  doi = {10.1002/14651858.cd000146.pub4}
}

@article{Balduzzi2019,
    title = {How to perform a meta-analysis with {R}: a practical
      tutorial},
    author = {Sara Balduzzi and Gerta Rücker and Guido Schwarzer},
    journal = {Evidence-Based Mental Health},
    year = {2019},
    volume = {99},
    number = {22},
    pages = {153--160},
  }

@book{keren1993,
    title={A Handbook for Data Analysis in the Behavioral Sciences: Methodological issues},
    author={Keren, G. and Lewis, C.},
    number={v. 1},
    isbn={9780805810929},
    lccn={92023007},
    series={A Handbook for Data Analysis in the Behavioral Sciences},
    year={1993},
    publisher={L. Erlbaum Associates},
    doi = {10.4324/9781315799582}
    }

@article{hobbs2007,
    doi = {10.1080/10543400701668266},
    year = {2007},
    month = dec,
    publisher = {Informa {UK} Limited},
    volume = {18},
    number = {1},
    pages = {54--80},
    author = {Brian P. Hobbs and Bradley P. Carlin},
    title = {Practical Bayesian Design and Analysis for Drug and Device Clinical Trials},
    journal = {Journal of Biopharmaceutical Statistics}
    }

@article {Wang2023,
	author = {Wang, Yuting and Devji, Tahira and Carrasco-Labra, Alonso and King, Madeleine T. and Terluin, Berend and Terwee, Caroline B. and Walsh, Michael and Furukawa, Toshi A. and Guyatt, Gordon H.},
	title = {A step-by-step approach for selecting an optimal minimal important difference},
	volume = {381},
	elocation-id = {e073822},
	year = {2023},
	doi = {10.1136/bmj-2022-073822},
	publisher = {BMJ Publishing Group Ltd},
	URL = {https://www.bmj.com/content/381/bmj-2022-073822},
	journal = {BMJ}
}

@online{Lakens2022,
  url = {https://doi.org/10.5281/ZENODO.6409077},
  author = {Lakens,  Daniël},
  keywords = {statistical inferences,  hypothesis testing,  experimental design,  frequentist statistics,  open science},
  title = {Improving Your Statistical Inferences},
  publisher = {Zenodo},
  year = {2022},
  urldate = {13-07-2025},
  copyright = {Creative Commons Attribution Non Commercial Share Alike 4.0 International}
}

@article{Nunnally1960,
  author = {Nunnally, J.},
  year = {1960},
  title = {The Place of Statistics in Psychology},
  journal = {Educational and Psychological Measurement},
  volume = {20},
  number = {4},
  pages = {641--650},
  doi = {10.1177/001316446002000401}
}


@article{nickerson2000null,
  title={Null hypothesis significance testing: a review of an old and continuing controversy.},
  author={Nickerson, Raymond S.},
  journal={Psychological methods},
  volume={5},
  number={2},
  pages={241},
  year={2000},
  publisher={American Psychological Association}
}

@article{meehl_1967, 
    title={Theory-Testing in Psychology and Physics: A Methodological Paradox},
    author={Meehl, Paul E.},
    journal={Philosophy of Science},
    volume={34}, 
    number={2},
    DOI={10.1086/288135}, 
    publisher={Cambridge University Press},     
    year={1967}, 
    pages={103–115}
}

@article{Krantz,
author = { David H. Krantz },
title = {The Null Hypothesis Testing Controversy in Psychology},
journal = {Journal of the American Statistical Association},
volume = {94},
number = {448},
pages = {1372-1381},
year  = {1999},
publisher = {Taylor & Francis},
doi = {10.1080/01621459.1999.10473888},
}

@article{ESTEVES2023297,
title = {Logical coherence in Bayesian simultaneous three-way hypothesis tests},
journal = {International Journal of Approximate Reasoning},
volume = {152},
pages = {297-309},
year = {2023},
issn = {0888-613X},
doi = {10.1016/j.ijar.2022.10.019},
author = {Luís G. Esteves and Rafael Izbicki and Julio M. Stern and Rafael B. Stern},
}

@book{johnson2002,
  address = {Upper Saddle River, N. J.},
  author = {Johnson, Richard Arnold and Wichern, Dean W.},
  edition = {5},
  publisher = {Prentice Hall},
  title = {Applied multivariate statistical analysis},
  year = {2002}
}

@article{meeker1995,
 author = {William Q. Meeker and Luis A. Escobar},
 journal = {The American Statistician},
 number = {1},
 pages = {48--53},
 publisher = {[American Statistical Association, Taylor & Francis, Ltd.]},
 title = {Teaching about Approximate Confidence Regions Based on Maximum Likelihood Estimation},
 volume = {49},
 year = {1995},
 doi = {10.1080/00031305.1995.10476112}
}

@article{gross2014,
  doi = {10.1111/ajps.12149},
  year = {2014},
  month = nov,
  publisher = {Wiley},
  volume = {59},
  number = {3},
  pages = {775--788},
  author = {Justin H. Gross},
  title = {Testing What Matters (If You Must Test at All): A Context-Driven Approach to Substantive and Statistical Significance},
  journal = {American Journal of Political Science},
}

@article{leamer1988,
    author = {Leamer, Edward E.},
    title = {3 Things That Bother Me},
    journal = {Economic Record},
    volume = {64},
    number = {4},
    pages = {331-335},
    year = {1988}
    }


@incollection{good2009,
    author={Irving J. Good},
    title={Some Logic and History of Hypothesis Testing},
    bookTitle={Good Thinking: The Foundations of Probability and Its Applications},
    year={2009},
    address = {Racoon city},
    editor = {M. Mouse},
    series={Dover Books on Mathematics},
    publisher={Dover Publications},
    pages={129--148}
}

@book{berger1985,
  address = {New York},
  author = {Berger, James O.},
  keywords = {Bayesian statistics},
  publisher = {Springer-Verlag},
  title = {Statistical decision theory and Bayesian analysis},
  year = {1985},
  doi = {10.1007/978-1-4757-4286-2}
}

@book{jeffreys1961,
  address = {Oxford, England},
  author = {Jeffreys, H.},
  booktitle = {Theory of Probability},
  edition = {Third},
  publisher = {Oxford},
  title = {Theory of Probability},
  year = {1961},
  doi = {10.1093/oso/9780198503682.001.0001}
}

@article{kass1993,
    author = {Robert E. Kass},
    title = {Bayes factors in practice},
    journal = {Journal of the Royal Statistical Society. Series D (The Statistician)},
    volume = {42},
    number = {5},
    pages = {551-560},
    year  = {1993},
    publisher = {Blackwell Publishing for the Royal Statistical Society},
    doi = {10.2307/2348679}
}

@book{migon2014,
    title={Statistical Inference: An Integrated Approach, Second Edition},
    author={Migon, H. S. and Gamerman, D. and Louzada, F.},
    isbn={9781439878828},
    series={Chapman \& Hall/CRC Texts in Statistical Science},
    year={2014},
    publisher={CRC Press},
    doi = {10.1201/b17229}
}

@article{bakbergenuly2018,
  title = {Meta-analysis of binary outcomes via generalized linear mixed models: a simulation study},
  volume = {18},
  DOI = {10.1186/s12874-018-0531-9},
  number = {1},
  journal = {BMC Medical Research Methodology},
  publisher = {Springer Science and Business Media LLC},
  author = {Bakbergenuly,  Ilyas and Kulinskaya,  Elena},
  year = {2018},
  month = jul 
}

@article{makowski2019,
  title = {bayestestR: Describing Effects and their Uncertainty,  Existence and Significance within the Bayesian Framework},
  volume = {4},
  ISSN = {2475-9066},
  DOI = {10.21105/joss.01541},
  number = {40},
  journal = {Journal of Open Source Software},
  publisher = {The Open Journal},
  author = {Makowski,  Dominique and Ben-Shachar,  Mattan and L\"{u}decke,  Daniel},
  year = {2019},
  month = {8},
  pages = {1541}
}

@article{lassance2025,
title = {Adding imprecision to hypotheses: A Bayesian framework for testing practical significance in nonparametric settings},
journal = {International Journal of Approximate Reasoning},
volume = {178},
pages = {109332},
year = {2025},
issn = {0888-613X},
doi = {10.1016/j.ijar.2024.109332},
author = {Rodrigo F. L. Lassance and Rafael Izbicki and Rafael B. Stern}
}

@online{lassance2024,
  url = {https://doi.org/10.48550/ARXIV.2406.15608},
  author = {Rodrigo F. L. Lassance and Julio M. Stern and Rafael B. Stern},
  title = {Nonparametric FBST for Validating Linear Models},
  publisher = {arXiv},
  year = {2024},
  urldate = {13-07-2025},
  copyright = {Creative Commons Attribution 4.0 International}
}

@article{genovese2005,
  title = {Confidence sets for nonparametric wavelet regression},
  volume = {33},
  ISSN = {0090-5364},
  DOI = {10.1214/009053605000000011},
  number = {2},
  journal = {The Annals of Statistics},
  publisher = {Institute of Mathematical Statistics},
  author = {Genovese,  Christopher R. and Wasserman,  Larry},
  year = {2005},
  month = apr 
}

@article{robins2006,
  title = {Adaptive nonparametric confidence sets},
  volume = {34},
  ISSN = {0090-5364},
  DOI = {10.1214/009053605000000877},
  number = {1},
  journal = {The Annals of Statistics},
  publisher = {Institute of Mathematical Statistics},
  author = {Robins,  James and van der Vaart, Aad},
  year = {2006},
  month = {2} 
}

@book{phadia2016,
  title = {Prior Processes and Their Applications},
  ISBN = {9783319327891},
  ISSN = {2197-568X},
  DOI = {10.1007/978-3-319-32789-1},
  journal = {Springer Series in Statistics},
  publisher = {Springer International Publishing},
  author = {Phadia,  Eswar G.},
  year = {2016}
}

@online{park2023,
  url = {https://doi.org/10.48550/ARXIV.2307.04034},
  author = {Park,  Beomjo and Balakrishnan,  Sivaraman and Wasserman,  Larry},
  keywords = {Methodology (stat.ME),  FOS: Computer and information sciences,  FOS: Computer and information sciences},
  title = {Robust Universal Inference For Misspecified Models},
  publisher = {arXiv},
  year = {2023},
  urldate = {13-07-2025}

}