impute missing values in correlated variables: transcan?
On 11/30/04 11:23, roger koenker wrote:
At the risk of stirring up a hornet's nest , I'd suggest that means are dangerous in such applications. A nice paper on combining ratings is: Gilbert Bassett and Joseph Persky, Rating Skating, JASA, 1994, 1075-1079.
Here is the abstract, which seems to capture what the article says: "Among judged sports, figure skating uses a unique method of median ranks for determining placement. This system responds positively to increased marks by each judge and follows majority rule when a majority of judges agree on a skater's rank. It is demonstrated that this is the only aggregation system possessing these two properties. Median ranks provide strong safeguards against manipulation by a minority of judges. These positive features do not require the sacrifice of efficiency in controlling measurement error. In a Monte Carlo study, the median rank system consistently outperforms alternatives when judges' marks are significantly skewed toward an upper limit." I think this is irrelevant. We are using ratings, not rankings. (And there was a small error in my original post. The disturbing effect of missing data at the high or low end would be on the slope rather than the intercept or mean.) Jon
Jonathan Baron, Professor of Psychology, University of Pennsylvania Home page: http://www.sas.upenn.edu/~baron