Table 1.

2x2 Predisposing risk table (Subscript i is omitted for n’s.)

	Case	Control	Total
High Predisposing Risk	$n_{11}={\displaystyle \sum _{j=1}^{3^k}{X}_{\mathit{\text{ij}}}I\left\{\frac{X_{\mathit{\text{ij}}}}{X_{\mathit{\text{ij}}}+Y_{\mathit{\text{ij}}}}>p_{i0}\right\}}$	$n_{12}={\displaystyle \sum _{j=1}^{3^k}{Y}_{\mathit{\text{ij}}}I\left\{\frac{X_{\mathit{\text{ij}}}}{X_{\mathit{\text{ij}}}+Y_{\mathit{\text{ij}}}}>p_{i0}\right\}}$	n1+
Low Predisposing Risk	$n_{21}={\displaystyle \sum _{j=1}^{3^k}{X}_{\mathit{\text{ij}}}I\left\{\frac{X_{\mathit{\text{ij}}}}{X_{\mathit{\text{ij}}}+Y_{\mathit{\text{ij}}}}\le p_{i0}\right\}}$	$n_{22}={\displaystyle \sum _{j=1}^{3^k}{Y}_{\mathit{\text{ij}}}I\left\{\frac{X_{\mathit{\text{ij}}}}{X_{\mathit{\text{ij}}}+Y_{\mathit{\text{ij}}}}\le p_{i0}\right\}}$	n2+
Total	n+1	n+2	N