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For raw residuals, good fitting model is verified when observed residuals are found between the confidence bounds; while for standardized residuals, good fitting model is seen when the plots are between -2 and 2. At the category level, raw and standardized residuals for the five categories of each item were analyzed.

Stable parameter estimates are indicated by low bias (i.e., bootstrapped and maximum likelihood estimates are similar) and an unbiased good fitting model is indicated by a Bollen-Stine χ with P > 0.05 calculated using the bootstrapped distribution (38).

For each case, a good fitting model was obtained for at least one level (Figures 4 6), thus enabling multi-group stacked model analyses in order to directly compare both levels of the variable in question.

In addition to a nonsignificant chi square (χ2), allowing a rejection of the null hypothesis (i.e. an unacceptable representation of the data), a good-fitting model was considered to have a comparative fit index (CFI) ≥0.95 and a root mean square approximation of variance (RMSEA) significantly smaller than 0.05 [61], [61].

The best fitting model is shown in Fig. 5.

Our best fitting model is described in table 6.

In this case, the bad fitting model is rejected.

The best fitting model is printed in bold font.

A pure diffusion fitting model was employed.

The worst fitting model was (d), the unbalanced input noise model.

The best-fitting model is in bold.