The calculator computes bifactor indices such as explained common variance (ECV), hierarchical Omega (OmegaH), percentage of uncontaminated correlations (PUC), item explained common variance (I-ECV), and more. This package is an R version of the 'Excel' based 'Bifactor Indices Calculator' (Dueber, 2017)  <doi:10.13023/edp.tool.01> with added convenience features for directly utilizing output from several programs that can fit confirmatory factor analysis or item response models.

Fits bifactor exploratory structural equation models (B-ESEM),
    together with standard exploratory structural equation modeling (ESEM)
    and confirmatory factor analysis (CFA), for continuous and
    ordered-categorical data. Continuous models use 'lavaan' native efa()
    blocks with robust maximum likelihood (MLR) estimation.
    Ordered-categorical ESEM defaults to the 'lavaan' weighted least squares
    mean- and variance-adjusted (WLSMV) estimator; 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 independent
    cluster model confirmatory factor analysis (ICM-CFA) misspecification.
    An optional 'MplusAutomation' interface allows side-by-side comparison
    with 'Mplus' output.

Estimates fixed effects binary choice models (logit and probit) with potentially many
  individual fixed effects and computes average partial effects. Incidental parameter bias can be
  reduced with an asymptotic bias correction proposed by Fernandez-Val (2009)
  <doi:10.1016/j.jeconom.2009.02.007>.