THE FOUR DIFFERENT CHISQUARES C1 IS N1 TIMES

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The four different chi-squares

The four different chi-squares

C1 is N-1 times the minimum value of a fit-function

C2 is N-1 times the minimum value of a weighted (involving a weight matrix) fit function under multivariate normality

C3 is the Satorra-Bentler Scaled chi-square

C4 is N-1 times the minimum value of a weighted (involving a weight matrix) fit function under multivariate non-normality

C1, C2, C3 and C4

Table 1: Asymptotic covariance matrix not provided

	ULS	GLS	ML	WLS	DWLS
C1	0	*	*	0	0
C2	*	*	*	0	0
C3	0	0	0	0	0
C4	0	0	0	0	0

Table 2: Asymptotic covariance matrix provided

	ULS	GLS	ML	WLS	DWLS
C1	0	*	*	*	0
C2	*	*	*	0	*
C3	*	*	*	0	*
C4	*	*	*	0	*

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