Abstract
We welcome Borland and Howsen's (1996) comment on our 1993 paper (Couch, Shughart, and Williams, 1993). Because they have essentially reproduced our empirical results on another data set using a richer regression specification, this reply is both briefer and less inflammatory than our earlier rejoinder (Couch and Shughart, 1995) to Newmark (1995). Using data on student performance in mathematics across 173 Kentucky school districts in 1990,1 Borland and Howsen report a negative and "marginally significant" (p < .08) relationship between academic achievement and a Herfindahl-Hirschman Index (HHI) measuring the number and size distribution of public and private schools within each district. The HHI, which takes on the value of one if a district contains a single school and approaches its theoretical lower bound of zero the greater the number and the smaller the average size of the district's schools,2 is, at least in principle, a broader measure of school choice than the private school enrollment figures used by
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