IC measures obtained from fitting different cross-sectional MSEM models (T = 1) across 2 parameter conditions (with known and unknown β), and 2 sample sizes (n = 500 and 200). The eight models considered were: (1) Models 1 and 5: cusp-inspired models with special constraints on transition between regimes, with known and unknown β membership; (2) Models 2 and 6: cusp-inspired models with no constraints on the transition between regimes, with known and unknown β membership; (3) Models 3 and 7: 2-regime models, with known and unknown β membership; (4) Models 4 and 8: models with equal β regression weight on yi, with known and unknown β membership.