capítulo de libro
An Illustration on the Quantile-Based Calculation of the Standard Error of Equating in Kernel Equating
Fecha
2021Registro en:
10.1007/978-3-030-74772-5_21
978-3030747749
Autor
González Burgos, Jorge Andrés
Wallin, Gabriel
Institución
Resumen
Liou and Cheng (J Educ Behav Stat 20(3):259–286, 1995) discussed large-sample approximations for the standard error of equating (SEE) using the results of Bahadur (Ann Math Stat 37(3):577–580, 1966) and Ghosh (Ann Math Stat 42(6):1957–1961, 1971) on the asymptotic representation of sample quantiles. In this paper we revisit the Bahadur representation of sample quantiles, describe its use for the calculation of the SEE of Kernel equating, and present a comparison with the more traditionally used Delta method.