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. 2018 Apr 25;9:580. doi: 10.3389/fpsyg.2018.00580

Table 1.

Test statistics and their applicability.

Statistic Source Applicability
p N Distribution
Tml Likelihood ratio S L NM
Tmlb Nevitt and Hancock, 2004 S L NM
Tmly Yuan, 2005 S L NM
Tmls Swain, 1975 S to M M to L NM
Tmle Yuan et al., 2015 S to M M to L NM
Trml Satorra and Bentler, 1994 S L NM & NNM
Taml Satorra and Bentler, 1994 S L NM & NNM
Trml(b) Nevitt and Hancock, 2004 S L NM
Trml(c20) Yuan et al., 2017 S to M M to L NM & NNM
Tgls Browne, 1984 S vL NM & NNM
Tcgls Yuan and Bentler, 1997a S M to L NM & NNM
TF Yuan and Bentler, 1999 S M to L NM & NNM

S, small; M, medium; L, large; vL, very large; NM, normal; NNM, nonnormal

The two underlined statistics are recommended.