A pervasive issue in the school choice literature is whether schools of choice cream skim students by enrolling high-achieving, less-challenging, or less-costly students. Similarly, schools of choice may "push out" low-achieving, more-challenging, or more-costly students. Using longitudinal student-level data from Indiana, we created multiple measures to examine whether there is evidence consistent with the claims of voucher-participating private schools cream skimming the best students from public schools or pushing out voucher-receiving students. We do not find evidence consistent with the claim of cream skimming. However, we find evidence consistent with the claim of private schools pushing out the lowest-achieving voucher students. This is the first study to examine these two issues within a statewide private school voucher program.