In many sport competitions athletes, teams, or countries are evaluated based on several variables. The strong assumptions underlying traditional ‘linear weight’ scoring systems (that the relative importance, interactions and linearizing transformations of the variables are known) can often not be justified on theoretical grounds, and empirical ‘validation’ of weights, interactions and transformations, is problematic when a ‘gold standard’ is lacking. With μ-scores (u-scores for multivariate data) one can integrate information even if the variables have different scales and unknown interactions or if the events counted are not directly comparable, as long as the variables have an ‘orientation’. Using baseball as an example, we discuss how measures based on μ-scores can complement the existing measures for ‘performance’ (which may depend on the situation) by providing the first multivariate measures for ‘ability’ (which should be independent of the situation). Recently, μ-scores have been extended to situations where count variables are graded by importance or relevance, such as medals in the Olympics (Wittkowski 2003) or Tour-de-France jerseys (Cherchye and Vermeulen 2006, 2007). Here, we present extensions to ‘censored’ variables (life-time achievements of active athletes), penalties (counting a win more than two ties) and hierarchically structured variables (Nordic, alpine, outdoor, and indoor Olympic events). The methods presented are not restricted to sports. Other applications of the method include medicine (adverse events), finance (risk analysis), social choice theory (voting), and economy (long-term profit).

inexorable.. .as microprocessor speeds pass two gigahertz, semiconductor manufacturers must wring all the available microprocessor speed from existing processes by any means possible. These means include designed experimentation and analysis of tightly controlled processes, many of which are approaching physical limits. Some questions an engineer must face when confronted with optimizing a 400-operation process is: At which operation to begin, and what factors in that operation influence what responses in the process? Then, after defined optimization projects have been completed: Have all the available opportunities for optimization been exhausted?

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