| Knowing some of their properties, such as monotonicity, is often sufficient to constrain the behavior of the variables. |
| The brief discussion above in Section 3.1 suggests that monotonicity may be an obstacle in pursuing this goal. |
| This takes advantage of the better asymptotic properties of the difference in the log variances, as well as of the monotonicity of the transformation. |
| In short, in ceasing to be homogenous, they cannot escape their own monotonicity. |
| The significance of monotonicity is that simple linear models are able to capture interaction effects and nonlinear effects amazingly well. |
| In the technical literature, this is referred to as violating the monotonicity condition – the idea that if a candidate wins more support, this should not adversely affect his or her prospects. |
