ABSTRACT

We report ordinary least squares and logistic regressions of the upset model in table 2, including O F F I C I A L . The change from two to three officials is associated with a reduced probability of upsets, and the result is statistically significant at the 10 percent level. 9 We interpret this result to mean that the quality of officiating increased with the advent o f three officials. That is, three officials reduced the variance in the outcome o f tournament games, which implies that the quality o f officiating increased with three referees. In turn this sug-