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Thanks for the help Jeremy. I found the solution in Bollen (1989), p. 111. Assume again the three-wave version of the model above, $x_{it} = \alpha_i + \delta_{it}$ and, for the sake of demonstration, assume the observed covariance matrix $S$ is $\begin{align} S & = \begin{bmatrix} x_{1}^{2} & & \\ x_{2}x_{1} & x_{2}^{2} & \\ x_{3}...


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Your model isn't clear to me, that's not necessarily bad, but I think you can express it more simply. You don't need $B$ and $\Psi$ or $\alpha$ in your equations. These aren't necessary for the simple model you specify. You can ignore $\delta$ for this model, if you want to keep things simple and just standardize everything. If you do this, then the ...


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This Github page provides a number of R-based simulation examples for structural equation modeling (sem). If you are asking for Power Analysis in Model Evaluation, then the syntax is here. However, if you are asking for Power to detect target parameters, then use this syntax. Furthermore, one of the benefits of the aforementioned github page is that it ...


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It doesn't require 5-10 cases per indicator to run, these are recommendations. It will run with fewer cases. However, the results might be less meaningful - and you won't be able to make strong statements about the absence of measurement invariance. Therefore, the best way is to do whatever you would have done, but accept that you don't have power to ...


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Since you mention feedback I would suggest you view your system as evolving in time, namely a time series. In this case I would at least consider Sugihara's S-map and CCM methods and forget about the final diagnosis for a while. The advantage of these methods is that they are specifically aimed at data arising from dynamical systems. CCM tells you which ...


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I don't know about books, honestly there is not that much into it, but there are some papers that are usually recommended as references Mplus userguide chapter 12, https://www.statmodel.com/ugexcerpts.shtml Although examples are in Mplus, it should be easy to apply them to lavaan Muthen, L. K., & Muthen, B. O. (2002). How to use a Monte Carlo study ...


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