16.4 Comparison of Testing Frameworks

Framework Key Concept Strengths Weaknesses
NHST Tests if an effect is statistically significant (p-value based) Simple, widely used Over-reliance on p-values, arbitrary thresholds (e.g., 0.05)
TOST Tests whether two means are sufficiently close (equivalence) Useful in equivalence testing Requires pre-specified equivalence margin
Bayesian Testing Uses posterior probabilities and Bayes Factor Incorporates prior knowledge, intuitive Requires prior distribution, computationally expensive
Decision-Theoretic Minimizes expected loss based on cost functions Practical for decision-making Needs subjective cost assignment
False Discovery Rate Controls proportion of false positives in multiple tests Useful in high-dimensional data Can still lead to false discoveries