Interaction Fallacy

Definition: A statistical error in which a formal test is not conducted to assess the difference between a significant and non-significant correlation (or other measures, such as Odds Ratio). This fallacy occurs when a significant and non-significant correlation coefficient are assumed to represent a statistically significant difference but the comparison itself is not explicitly tested.

Related terms: Comparison of Correlations, Null Hypothesis Significance Testing (NHST), <a href='/glossary/statistical-validity/'>Statistical Validity</a>, <a href='/glossary/type-i-error/'>Type I error</a>, <a href='/glossary/type-ii-error/'>Type II error</a>

References: Gelman and Stern (2006), Morabia et al. (1997), & Nieuwenhuis et al. (2011)

Drafted and Reviewed by: Graham Reid, Ali H. Al-Hoorie, Mahmoud Elsherif, Kai Krautter, Sam Parsons

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