# Table 5 Relevant variables and hypotheses

n Variable Hypothesis
3 $$x_{1} x_{2} x_{3}$$ $$\alpha_{12} + \alpha_{123} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )$$ $$\alpha_{12} \ge 0$$
4 $$x_{1} x_{2} x_{3} x_{4}$$ $$\alpha_{12} + \alpha_{123} + \alpha_{124} + \alpha_{1234} \ge 0$$
$$x_{1} x_{2} x_{3} (1 - x_{4} )$$ $$\alpha_{12} + \alpha_{123} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )x_{4}$$ $$\alpha_{12} + \alpha_{124} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )(1 - x_{4} )$$ $$\alpha_{12} \ge 0$$
5 $$x_{1} x_{2} x_{3} x_{4} x_{5}$$ $$\alpha_{12} + \alpha_{123} + \alpha_{124} + \alpha_{125} + \alpha_{1234} + \alpha_{1235} + \alpha_{1245} + \alpha_{12345} \ge 0$$
$$x_{1} x_{2} x_{3} x_{4} (1 - x_{5} )$$ $$\alpha_{12} + \alpha_{123} + \alpha_{124} + \alpha_{1234} \ge 0$$
$$x_{1} x_{2} x_{3} (1 - x_{4} )x_{5}$$ $$\alpha_{12} + \alpha_{123} + \alpha_{125} + \alpha_{1235} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )x_{4} x_{5}$$ $$\alpha_{12} + \alpha_{124} + \alpha_{125} + \alpha_{1245} \ge 0$$
$$x_{1} x_{2} x_{3} (1 - x_{4} )(1 - x_{5} )$$ $$\alpha_{12} + \alpha_{123} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )x_{4} (1 - x_{5} )$$ $$\alpha_{12} + \alpha_{124} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )(1 - x_{4} )x_{5}$$ $$\alpha_{12} + \alpha_{125} \ge 0$$
$$x_{1} x_{2} (1 - x_{3} )(1 - x_{4} )(1 - x_{5} )$$ $$\alpha_{12} \ge 0$$