Interpretation

  • Note :

\[ \begin{aligned} d_{logit} &= \log \left( \frac{R_{2023}}{100 - R_{2023}}\right) - \log \left( \frac{R_{2021}}{100 - R_{2021}}\right) \\ &= \log \left( \frac{R_{2023} / (100 - R_{2023})} {R_{2021}/(100 - R_{2021})}\right) \\ \end{aligned} \]

  • \(d_{logit} = log(\text{odds_ratio})\)

  • So for example a decrease of \(d_{logit}\) of -.61 corresponds to an ‘odds’ ratio:

exp(-.61)
## [1] 0.543

  • So the odds went down by about a factor of 2.

  • Book claims this is compensated by more balls hit hard.