bifactory - (Bifactor) ESEM with Continuous (MLR) or Ordered (WLSMV) Data

Fits bifactor Exploratory Structural Equation Models (B-ESEM), together with standard ESEM and Confirmatory Factor Analysis (CFA), for continuous and ordered-categorical data. Continuous models use 'lavaan' native 'efa()' blocks (MLR). Ordered-categorical ESEM defaults to 'lavaan' WLSMV; ordered B-ESEM uses a custom diagonally weighted least squares (DWLS) path with polychoric correlations from 'psych', rotation-delta standard errors via 'numDeriv', and a mean- and variance-adjusted chi-square. Target, geomin, and oblimin rotations use 'GPArotation'; the bifactor ESEM approach follows Morin, Arens and Marsh (2016) <doi:10.1080/10705511.2014.961800>. Additional features include multi-group measurement invariance (configural through strict, with partial invariance), ESEM-within-CFA conversion, McDonald's omega reliability suite, and the Mehrvarz and Rouder (2026) <doi:10.31234/osf.io/95enc_v3> alignment ratio check for ICM-CFA misspecification. An optional 'MplusAutomation' interface allows side-by-side comparison with 'Mplus' output.