Table 4 An error matrix of estimated area proportion. Map categories are rows and reference categories are columns.
Class | 1 | 2 | \(\cdots\) | i | j | \(\cdots\) | k | Total |
|---|---|---|---|---|---|---|---|---|
1 | \(\hat{p}_{11}\) | \(\hat{p}_{12}\) | \(\cdots\) | \(\hat{p}_{1i}\) | \(\hat{p}_{1j}\) | \(\cdots\) | \(\hat{p}_{1k}\) | \(\hat{p}_{1\cdot }\) |
2 | \(\hat{p}_{21}\) | \(\hat{p}_{22}\) | \(\cdots\) | \(\hat{p}_{2i}\) | \(\hat{p}_{2j}\) | \(\cdots\) | \(\hat{p}_{2k}\) | \(\hat{p}_{2\cdot }\) |
\(\vdots\) | \(\vdots\) | \(\vdots\) | \(\ddots\) | \(\cdots\) | \(\cdots\) | \(\ddots\) | \(\cdots\) | \(\cdots\) |
i | \(\hat{p}_{i1}\) | \(\hat{p}_{i2}\) | \(\cdots\) | \(\hat{p}_{ii}\) | \(\hat{p}_{ij}\) | \(\cdots\) | \(\hat{p}_{ik}\) | \(\hat{p}_{i\cdot }\) |
j | \(\hat{p}_{j1}\) | \(\hat{p}_{j2}\) | \(\cdots\) | \(\hat{p}_{ji}\) | \(\hat{p}_{jj}\) | \(\cdots\) | \(\hat{p}_{jk}\) | \(\hat{p}_{j\cdot }\) |
\(\vdots\) | \(\vdots\) | \(\vdots\) | \(\ddots\) | \(\cdots\) | \(\cdots\) | \(\ddots\) | \(\cdots\) | \(\cdots\) |
k | \(\hat{p}_{k1}\) | \(\hat{p}_{k2}\) | \(\cdots\) | \(\hat{p}_{ki}\) | \(\hat{p}_{kj}\) | \(\cdots\) | \(\hat{p}_{kk}\) | \(\hat{p}_{k\cdot }\) |
Total | \(\hat{p}_{\cdot 1}\) | \(\hat{p}_{\cdot 2}\) | \(\cdots\) | \(\hat{p}_{\cdot {i}}\) | \(\hat{p}_{\cdot {j}}\) | \(\cdots\) | \(\hat{p}_{\cdot {k}}\) | 1 |
