Open AccessSTANDARD ERRORS OF THE KERNEL EQUATING METHODS UNDER THE COMMON‐ITEM DESIGN
Author(s) -
Liou Michelle,
Cheng Philip E.,
Johnson Eugene G.
Publication year - 1996
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.1996.tb01689.x
Subject(s) - equating , mathematics , statistics , kernel (algebra) , standard error , gaussian , combinatorics , physics , quantum mechanics , rasch model
The present research derives simplified formulae for computing the standard error of the frequency estimation method for equating score distributions that are continuized using a uniform or Gaussian kernel function (Holland, King & Thayer, 1989; Holland & Thayer, 1987). The simplified formulae are applicable to equating both the observed‐ and smoothed‐score distributions (Rosenbaum & Thayer, 1987). Results from two empirical studies indicate that the simplified formulae work reasonably well for samples with moderate sizes, say one thousand examinees.