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Advantages masquerading as "issues" in Bayesian hypothesis testing: A commentary on Tendeiro and Kiers (2019)
Don van Ravenzwaaij1, Eric-Jan Wagenmakers1
1Department of Psychology.
This study argues Null Hypothesis Bayesian Testing (NHBT) offers advantages over p-values, contrary to some critiques. NHBT, using Bayes factors, provides a valuable tool for statistical evidence and knowledge updating in research.
Area of Science:
- Statistics
- Bayesian Inference
- Hypothesis Testing
Background:
- Null Hypothesis Bayesian Testing (NHBT) and Bayes factors are presented as alternatives to frequentist p-values.
- A critique by Tendeiro and Kiers identified 11 issues with NHBT.
- The current work engages with this critique, offering a counter-perspective.
Purpose of the Study:
- To re-evaluate the identified issues of NHBT, arguing some are advantages.
- To clarify the roles of hypothesis testing versus parameter estimation in statistical analysis.
- To discuss the utility of Bayes factors in contrast to full posterior distribution estimation.
Main Methods:
- Scholarly critique and re-interpretation of existing arguments on NHBT.
- Use of concrete examples to illustrate statistical concepts.
- Critical discussion of specific recommendations regarding statistical reporting.
Main Results:
- Several issues raised against NHBT are reframed as significant advantages.
- The complementary nature of hypothesis testing and parameter estimation is highlighted.
- The value of Bayes factors for quantifying statistical evidence is defended.
Conclusions:
- NHBT represents a valuable improvement over traditional frequentist methods.
- Statistical thinking and evidence quantification are emphasized over rigid procedures.
- Bayes factors offer a more complete picture than previously suggested, complementing parameter estimation.
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