| Session Title: How to Create Objective Evaluation Criteria for Complex Processes and Outcomes |
| Demonstration Session 629 to be held in Room 103 in the Convention Center on Friday, Nov 7, 1:35 PM to 3:05 PM |
| Sponsored by the Quantitative Methods: Theory and Design TIG |
| Presenter(s): |
| Knut M Wittkowski, Rockefeller University, kmw@rockefeller.edu |
| Tingting Song, Rockefeller University, tsong01@rockefeller.edu |
| Abstract: This demonstration extends commonly used ranking and scoring instruments for univariate data (Mann-Whitney 1947) and censored data (Gehan 1965) to multivariate data with applications in the evaluation of complex processes and outcomes. To reach a broad audience, many examples evaluate athletes and sports teams. Other examples will address medical problems, such as adverse experiences, side effects, and quality of life. The demonstration consists of three parts. The first part discusses the history of u-scores (Arbuthnoth 1692), extends u-scores to multivariate data using a simple representation of partial orderings (Deuchler 1914). The second part demonstrates how information about relationships between variables can be incorporated through (a) transforming data, (b) special partial orderings, and (c) combining partial orderings. The third part discusses computational and statistical aspects of non-parametric 'factor analysis'. Demonstrations will include spreadsheets (available from http://muStat.rockefeller.edu), the package 'muStat' (available from http://cran.r-project.org and http://csan.insightful.com/), and Web-services available from http://muStat.rockefeller.edu. |