Additive Models vs. Paired t-Tests: Insights from the Ashina Data

 


The ANOVA results show that treatment has a highly significant effect on pain scores (F(1,15) = 10.41, p = 0.0056), indicating that the active treatment significantly reduced pain compared to the placebo. The period effect is also statistically significant (F(1,15) = 5.15, p = 0.038), suggesting that the order or timing of treatment sessions slightly influenced pain levels.

The subject effect shows marginal significance (p ≈ 0.069), which makes sense because each individual patient has different baseline pain responses.

Comparison with Paired t-Test

When comparing these results to the paired t-test, the conclusion is consistent, both methods indicate that the active treatment is significantly more effective than the placebo. However, the additive model is more informative because it also adjusts for differences between subjects and periods, giving a more accurate estimate of the treatment effect.

Summary  

The additive model analysis of the ashina dataset revealed a significant treatment effect, confirming that the active medication substantially reduced pain intensity compared to placebo. Additionally, period effects suggest some influence of treatment order. These findings align with the paired t-test results but offer a more nuanced understanding by accounting for subject and period variability.

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