“…We do know that there are less restrictions under the alternative hypothesis, which explains the tendency to conclude that all the items show DIF. This observation is not new (e.g., Hessen, 2005, p. 513) and has enticed researchers to suggest anchoring strategies (e.g., De Boeck, 2008, §7.4;Wang & Yeh, 2003, 2004Stark et al, 2006), and heuristics for iterative purification of the anchor (Lord, 1980, p. 220;Van der Flier, Mellenbergh, Adèr, & Wijn, 1984;Candell & Drasgow, 1988;Wang, Shih, & Sun, 2012). Unfortunately, none of this provides a valid statistical test when there is more than one DIF item.…”