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250 test takers ability estimates ability interval ability range bandwidth bias of KS-CATSIB boundary corrections CAT data CAT setting comparison to CATSIB computerized adaptive tests denote design points detecting DIF DIF assessment methodology DIF detection procedure DIF estimation DIF items DIF procedure DIF statistic differential item functioning difficulty and discrimination difficulty level effective DIF detection efficient DIF error rates estimate of DIF estimation bias F groups F test focal and reference focal group group g group test takers h(ng item parameters item response functions kernel kernel-smoothing estimation kernel-smoothing item response KS-CATSIB in comparison Law School Admission low discriminating LSAC LSAT matching test takers minimum number Nandakumar and Roussos nonparametric estimation null hypothesis number of intervals number of test operational items paper-and-pencil tests procedure for CAT reference group test regression correction Rice correction sample sizes simulated test taker simulation study small samples standard deviation standard normal distribution statistical bias Type 1 error values