AMOS offers 90% CI for RMSEA (90Lo/90HI). Is there any way to calculate 95% CI for RMSEA? Though PClose is there but I am looking for 95% CI for RMSEA values. Please suggest. Thanks
Please check for these two following references (in particular the second one -Supplement-):
Kelley et al., " Accuracy in Parameter Estimation for the Root Mean Square Error of Approximation: Sample Size Planning for Narrow Confidence Intervals ", 2011 - http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.233.3090&rep=rep1&type=pdf
Kelley et al., " Supplement for Kelley & Lai (2011) ", 2011 - https://repository.library.nd.edu/view/1/AIPE_RMSEA_MBR_Supplement.pdf
Additional useful sources of information:
H. Bian, "Structural Equation Modeling with AMOS II", 2011 - http://core.ecu.edu/ofe/StatisticsResearch/SEM%20with%20AMOS%20II.pdf (page 99)
B.M. Byrne, "Structural Equation Modeling with AMOS-Basic Concepts, Applications and Programming", 2nd Edt, 2010 - http://crispindia.org/wp-content/uploads/2016/11/Structural-equation-modeling-with-AMOS.pdf (Applying the bootstrap procedure, page 337)
Neverthless, 90% CI is commonly recommended for RMSEA. Follow these references:
Herzog et al., "Small—Sample Robust Estimators of Noncentrality—Based and Incremental Model Fit", 2008 - https://pdfs.semanticscholar.org/6144/7b8a7700fd9904e0fbaf32a8bd25561db3fd.pdf
Hu et al., "Fit Indices in Covariance Structure Modeling: Sensitivity to Underparameterized Model Misspecification", 1998 - https://pdfs.semanticscholar.org/a92c/9726361d9c1d165dbf2ea781b6c48363a816.pdf
Related issue on ResearchGate - https://www.researchgate.net/post/Up-to-date_standards_for_goodness_of_fit_indices_in_SEM/1
It depends on your applicative context. To compute lower and upper bounds explicitly, check out (among others):
Herzog et al., " Small—Sample Robust Estimators of Noncentrality—Based and Incremental Model Fit ", 2008 - https://pdfs.semanticscholar.org/6144/7b8a7700fd9904e0fbaf32a8bd25561db3fd.pdf
Browne et al., " Alternative Ways of Assessing Model Fit ", 1992 - http://booksc.org/book/11439429/c82e71
Lai et al., " Accuracy in parameter estimation for ANCOVA and ANOVA contrasts: Sample size planning via narrow confidence intervals ", 2012 - https://www3.nd.edu/~kkelley/publications/articles/Lai_and_Kelley_AIPE_for_ANCOVA_BJMSP_2012.pdf
Hoofs et al., " Evaluating Model Fit in Bayesian Confirmatory Factor Analysis With Large Samples: Simulation Study Introducing the BRMSEA ", 2017 -
Article Evaluating Model Fit in Bayesian Confirmatory Factor Analysi...