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The Pearson test is popular because it's simple to compute - it's amenable to hand-calculation even without a calculator (or historically, even without log-tables) - and yet generally has good power compared to alternatives; the simplicity means it continues to be taught in the most basic subjects. There might be argued that there's an element of ...


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Bootstrapping is a procedure that uses random sampling with replacement. You maybe talking about oversampling technique to increase the size of your dataset. You can use oversampling techniques like nearest neighbours or variants of it to simulate the dataset. It will generally increase the goodness of fit test since you will have more data points to fit ...


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1 - I would start with this article: Garnier-Villarreal, M., & Jorgensen, T. D. (2019). Adapting fit indices for Bayesian structural equation modeling: Comparison to maximum likelihood. Psychological Methods. https://doi.org/10.1037/met0000224 If you need more: Cain, M. K., & Zhang, Z. (2019). Fit for a Bayesian: An evaluation of PPP and DIC for ...


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