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Why report effect size alongside p-values?

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Answer

  • P-values conflate signal size with sample size — huge n makes trivial effects significant.
  • Effect size quantifies practical importance regardless of n.
  • Common measures: Cohen's d (standardized mean difference: 0.2 small, 0.5 medium, 0.8 large); odds ratio / relative risk (binary outcomes); Pearson r  /  R2r\; / \;R^{2}; Cliff's delta (non-parametric).
  • Always report effect size with CIs and p-values.
Check yourself — multiple choice
  • P-values alone suffice
  • P-values conflate effect and n; effect size (Cohen's d, OR, r) quantifies practical importance regardless of n
  • Never report
  • Only for regression

Effect size: quantifies practical significance independently of n.

#hypothesis-testing#power

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