[Feature Request]: add robust and t-size fits indices for CFA

[TarandeepKang]

Description

Improved analysis reporting

Purpose

No response

Use-case

No response

Is your feature request related to a problem?

No response

Is your feature request related to a JASP module?

Factor

Describe the solution you would like

Implement the suggested improved fit measures ( robust RMSEA & CFI as well as mean-and-variance corrected chi-square and t-size measures)

Describe alternatives that you have considered

No response

Additional context

Current guidelines suggest that robust fit indices should be considered for inclusion in JASP as part of confirmatory factor analysis Rogers, P. (2024). Best practices for your confirmatory factor analysis: A JASP and lavaan tutorial. Behavior Research Methods, 1-21.

This above article also suggests other missing features that unfortunately I do not quite understand but may regardless be worth you looking at.

Robust fit indices

Brosseau-Liard, P. E., & Savalei, V. (2014). Adjusting relative fit indices for nonnormality. Multivariate Behavioral Research, 49, 460–470. doi:10.1080/00273171.2014.933697

Brosseau-Liard, P., Savalei, V., & Li, L. (2012). An investigation of the sample performance of two non-normality corrections for RMSEA. Multivariate Behavioral Research, 47, 904–930.

Savalei, V. (2018). On the Computation of the RMSEA and CFI from the Mean-And-Variance Corrected Test Statistic with Nonnormal Data in SEM. Multivariate Behavioral Research, 53(3), 419–429. https://doi.org/10.1080/00273171.2018.1455142

As well as the T -sized indices you have already added elsewhere