Algorithms for Adaptive Assignment

Regret

\[ \begin{array}{c|c|c} \text{Patient} & Y_i(A) & Y_i(B) \\ \hline 1 & 1 & 0 \\ 2 & 1 & 0 \\ 3 & 1 & 1 \\ 4 & 0 & 0 \\ 5 & 0 & 1 \\ 6 & 0 & 1 \\ 7 & 1 & 0 \\ 8 & 0 & 1 \\ 9 & 0 & 1 \\ 10 & 1 & 1 \end{array} \]

\[ \begin{array}{c|c|c|c|c} \text{Patient} & Y_i(A) & Y_i(B) & Max & \textrm{Regret}_i \\ \hline 1 & 1 & 0 \\ 2 & 1 & 0 \\ 3 & 1 & 1 \\ 4 & 0 & 0 \\ 5 & 0 & 1 \\ 6 & 0 & 1 \\ 7 & 1 & 0 \\ 8 & 0 & 1 \\ 9 & 0 & 1 \\ 10 & 1 & 1 \end{array} \]

In your groups:

1. Add a Max column
2. Add a Regret column
3. Compute the total regret