diff --git a/Week 7- Mergers and Conduct/conduct_new.tex b/Week 7- Mergers and Conduct/conduct_new.tex index d9e0775..4a5736d 100644 --- a/Week 7- Mergers and Conduct/conduct_new.tex +++ b/Week 7- Mergers and Conduct/conduct_new.tex @@ -606,12 +606,12 @@ \section{Backus Conlon Sinkinson (2022-?)} \begin{enumerate}[(a)] \item For each candidate model, compute the value of the scalar moment:\footnotemark \begin{align*} - Q(\eta^m) =\left(\sum_{j,t} \hat\omega_{jt}^m\cdot \hat{g}(\symbf{z_t}) \right)^2. + Q(\eta^m) =\left(\frac{1}{T}\sum_{j,t} \hat\omega_{jt}^m\cdot \hat{g}(\symbf{z_t}) \right)^2. \end{align*} -\item Repeat the previous step on bootstrapped samples and estimate $\hat\sigma/\sqrt{n}$ the standard error of the difference $\tilde Q(\eta^1) - \tilde Q(\eta^2)$. +\item Repeat the previous step on bootstrapped samples and estimate $\hat\sigma/\sqrt{T}$ the standard error of the difference $\tilde Q(\eta^1) - \tilde Q(\eta^2)$. \item Compute the test statistic \begin{align*} -T = \frac{\sqrt{n} \left(Q(\eta^1) - Q(\eta^2) \right)}{\widehat{\sigma}} \sim \mathcal{N}(0,1). +T = \frac{\sqrt{T} \left(Q(\eta^1) - Q(\eta^2) \right)}{\widehat{\sigma}} \sim \mathcal{N}(0,1). \end{align*} \textit{Note: Steps 2(a) and 2(b) can be done in any order via non-parametric regression.} \end{enumerate}