Last updated: 2019-10-30

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Knit directory: mcfa-fit/

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Rmd 15defd2 noah-padgett 2019-10-19 least-squares estimation method descriptions
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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).

Other Notes

ULSMV takes approximately the same length of time as WLSMV.

References

  1. Muthén, B. (1978). Contributions to factor analysis of dichotomous variables. Psychometrika, 43(4), 551–560. https://doi.org/10.1007/BF02293813

  2. Muthén, B. O. (1994). Multilevel Covariance Structure Analysis. Sociological Methods & Research, 22(3), 376–398. https://doi.org/10.1177/0049124194022003006