Last updated: 2019-10-18
Checks: 1 1
Knit directory: mcfa-fit/
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MUCH TO ADD HERE (NOT FINISHED)
The ULSMV fit function has been shown to be:
\[F_{ULSMV} = {\left(s - \sigma(\hat\theta)\right)}^{\prime}\mathrm{I}{\left(s - \sigma(\hat\theta)\right)}\\ \ \ \ \ \ \ \ \ \ \ \ \ = {\left(s - \sigma(\hat\theta)\right)}^{\prime}{\left(s - \sigma(\hat\theta)\right)}\]
which is a special case of the WLS estimation method when \(W = \mathrm{I}\)where the interested reader is refered to Muthen (1978) for information on the WLS estimation method more generally, and Muthen (1994) for the general ML-CFA model formulation but to (include references to two-level estimation with WLSMV).
ULSMV takes approximately the same length of time as WLSMV.
Muthén, B. (1978). Contributions to factor analysis of dichotomous variables. Psychometrika, 43(4), 551–560. https://doi.org/10.1007/BF02293813
Muthén, B. O. (1994). Multilevel Covariance Structure Analysis. Sociological Methods & Research, 22(3), 376–398. https://doi.org/10.1177/0049124194022003006