Abstract
Gillett showed that under quota selection, the expected mean test scores of minority selectees are always lower than those of majority selectees, even though the scores come from populations with identical distributions. Although Gillett reported levels of expected mean score differences between two quota-selected samples, he provided no information about the standard errors of these mean differences. In addition, he failed to provide a clear explanation of the basis for the inequality of the means. Therefore, the present study examined (a) the standard errors of the quota-selected sample means and (b) the sampling distributions of these means using a Monte Carlo simulation. The overall purpose was to clarify the basis for the expected differences between the mean scores of majority and minority selectees. Results showed that the quota selection inequality results from differences in sampling error between the quota-selected samples that are attributable to the relative sizes of the majority and minority samples.
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