diff --git a/paper/introduction.tex b/paper/introduction.tex index b1f41c8..f68cda9 100644 --- a/paper/introduction.tex +++ b/paper/introduction.tex @@ -198,16 +198,14 @@ \section{Hypothesis testing as model fit assessment: The SSR test statistic} similar outcome distributions. \begin{figure}[H]\centering - \includegraphics[width=.9\textwidth]{ksvsssr-boxplots.pdf} - \caption{Distributions of the simulated data from left to right: $y_0$ - outcome with no experiment, observed outcome after random assignment, - outcomes implied by a constant additive model of effects ("Add. Model"), outcomes implied by a constant - multiplicative model ("Mult. Model"). The hypothesized model parameters $\tau_0$ that - produce the patterns shown are printed on the plot. The proportion of - simulated tests in which these values of $\tau_0$ with $p$-values less - than $\alpha=.05$ by the KS and SSR test statistics are printed on the plot as $\text{pow}_{KS}$ and - $\text{pow}_\text{SSR}$. The SSR test statistic has more power for the - Normal outcomes and less power for the skewed outcome.}\label{fig:boxplot} + \includegraphics[width=.99\textwidth]{ksvsssr-boxplots.pdf} + \caption{The SSR test statistic has more power than the KS test statistic for the Normal outcome and + less power for the skewed outcome. Each panel shows distributions of simulated data from left to right: + outcome with no experiment ($y_0$), observed outcome after random assignment, + outcomes implied by a constant additive model of effects (``Add. Model''), + and outcomes implied by a constant multiplicative model (``Mult. Model''). The hypothesized model parameters $\tau_0$ that + produce the patterns, and the power of the tests using the KS and SSR test + statistics, are printed below the models.}\label{fig:boxplot} \end{figure} When we assessed power across many alternative hypotheses, our intuition was