... While the mapping of the original response categories onto pseudo-items is essential for the interpretation and mathematical implications of a given IRTree model, recoding of the pseudo-items of agreement (i.e., replacing 0, 0, 0, 1, 1, 1 with 1, 1, 1, 0, 0, 0), non-moderate responding (i.e., replacing 1, 1, 0, 0, 1, 1 with 0, 0, 1, 1, 0, 0) or extreme responding (i.e., replacing 1, 0, -, -, 0, 1 with 0, 1, -, -, 1, 0) leads to an equivalent IRTree model with opposite signs of the parameters for recoded pseudo-items. Here we choose the parametrization of nonmoderate responding (i.e., 1, 1, 0, 0, 1, 1 for the second pseudo-item) rather than the more common but equivalent parametrization of moderate responding (i.e., 0, 0, 1, 1, 0, 0; see B€ ockenholt, 2012B€ ockenholt & Meiser, 2017;Khorramdel & von Davier, 2014;Plieninger & Meiser, 2014) to facilitate the integration of an ordinal process of response intensity in the next section. ...