Recent trends in pay equity: Beyond the aggregate statistics

The earnings gap between men and women has remained comparatively stable at an aggregate level over the 1990s in Australia. From one perspective, this is a reminder of the considerable difficulty of addressing wage differentials once the most overt forms of wage discrimination have been removed, and of the limited impact of most policy initiatives. From another, it may be seen as evidence that dire predictions about the effects of decentralisation on the earnings gap have failed to materialise. In this paper, I use Australian Bureau of Statistics data to show that a number of different trends are evident underneath the relatively static picture shown by the aggregate statistics, particularly as wage dispersion has increased. The data suggest not only that the prospects for pay equity are far from benign, but also that in the current labour market the issue of gender pay inequality cannot be effectively addressed separately from wage inequality more generally.

Estimating and evaluating the statistics of gapped local-alignment scores

We present a novel maximum-likelihood-based algorithm for estimating the distribution of alignment scores from the scores of unrelated sequences in a database search. Using a new method for measuring the accuracy of p-values, we show that our maximum-likelihood-based algorithm is more accurate than existing regression-based and lookup table methods. We explore a more sophisticated way of modeling and estimating the score distributions (using a two-component mixture model and expectation maximization), but conclude that this does not improve significantly over simply ignoring scores with small E-values during estimation. Finally, we measure the classification accuracy of p-values estimated in different ways and observe that inaccurate p-values can, somewhat paradoxically, lead to higher classification accuracy. We explain this paradox and argue that statistical accuracy, not classification accuracy, should be the primary criterion in comparisons of similarity search methods that return p-values that adjust for target sequence length.