Measurement invariance in nationally representative samples of whites, blacks, hispanics -- n = 2000. KABC-II and KTEA-II batteries. https://www.gwern.net/docs/iq/2016-scheiber.pdf …pic.twitter.com/FLhvLoQup8
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(With sufficient sample sizes, the null hypothesis will always be rejected, since 'everything is correlated', especially in psychology. The point estimates, however, will usually be trivial - 'bet on sparsity'!)
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Positive manifold related but moreso sensitivity of chi-square to sample sizes. Hence change in RMSEA and CFI have come into a bit of favor
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Tests which aren't based on our true decision-theoretic criteria will never leave people fully at ease, but I'll definitely take RMSEA/CFI any day over p-values, especially for n>1000s...
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Summary, although I didn't invent those two catchphrases: https://www.gwern.net/Causality#everything-correlates-with-everything …
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