Table 1 Six possible complete matrices \( {\hat{\mathbbm{x}}}^{m=3} \) leading to the observed discovery matrix \( \mathbbm{d}=\left(\begin{array}{cc}1& 0\\ {}0& 1\end{array}\right) \)
Possibility 1 | Possibility 2 | Possibility 3 |
|---|---|---|
\( {\hat{\mathbbm{x}}}_1^{m=3}=\left(\begin{array}{ccc}1& 0& 0\\ {}0& 0& 1\end{array}\right) \) | \( {\hat{\mathbbm{x}}}_2^{m=3}=\left(\begin{array}{ccc}0& 1& 0\\ {}0& 0& 1\end{array}\right) \) | \( {\hat{\mathbbm{x}}}_3^{m=3}=\left(\begin{array}{ccc}1& 0& 0\\ {}0& 1& 0\end{array}\right) \) |
Possibility 4 | Possibility 5 | Possibility 6 |
\( {\hat{\mathbbm{x}}}_4^{m=3}=\left(\begin{array}{ccc}0& 0& 1\\ {}1& 0& 0\end{array}\right) \) | \( {\hat{\mathbbm{x}}}_5^{m=3}=\left(\begin{array}{ccc}0& 0& 1\\ {}0& 1& 0\end{array}\right) \) | \( {\hat{\mathbbm{x}}}_6^{m=3}=\left(\begin{array}{ccc}0& 1& 0\\ {}1& 0& 0\end{array}\right) \) |