Normed chi-square

Normed Chi-square/degrees of freedom (<3.0) AVE Average variance extracted (>0.50)... 

Alternative characteristic functions have also been used. For example, the sum of the absolute values of the residuals (53] has been evaluated for fitting C(11 data and produced results similar to those based on the chi-square statistic 49. When one sets w, = 1, the characteristic function in Eq. (52) is known as the L2 norm. 

FIG. 3. Structural equation model of data re-analysed from Nettelbeck Rabbitt (1992 = 98). A latent speed of processing factor mediates the effect of age on Performance IQ subtests. Fit statistics are as follows average off-diagonal standardized residuals = 0.02 chi square = 15.7 (df= 13), P = 0.26 Bentler-Bonett normed fit index = 0.95 Bentler-Bonett non-normed fit index = 0.99 comparative fit index = 0.99 all parameters are significant. 

In Equation 12, R represents the Euclidean norm (with respect to the origin) of a point in the standard normal space. Given that x N(0,1), i = 1,..., d, then R follows a chi-square distribution of d degrees of freedom. This implies that the expected radius will be equal to the square root of the number of dimensions, i.e. ... 

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