Quantile Regression - University of Illinois Urbana-Champaign

Quantile RegressionRoger Koenker and Kevin F. HallockWe say that a student scores at thetth Quantile of a standardized exam ifhe performs better than the proportiontof the reference group ofstudents and worse than the proportion (1 t). Thus, half of studentsperform better than the median student and half perform worse. Similarly, thequartiles divide the population into four segments with equal proportions of thereference population in each segment. The quintiles divide the population into fiveparts; the deciles into ten parts.

notches represent an estimated confidence interval for each median estimate. The full range of the observed salaries in each group is represented by the horizon-tal bars at the end of the dashed “whiskers.” In cases where the whiskers would extend more than three times the interquartile range, they are truncated and the

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  Ranges, Regression, Median, Interquartile range, Interquartile, Quantile, Quantile regression

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