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Table 3 Model evaluation by goodness-of-fit indices (GOFI) for the a priori specified measurement model M1 in Fig. 2 and the re-specified and data-driven post hoc modified measurement model M2 in Fig. 3 (robust maximum likelihood estimation using the statistical package LISREL)

From: Assessing adolescents’ perceived proficiency in critically evaluating nutrition information

Model (M) and GOFI goodness-of-fit target value Absolute GOFI Parsimony-adjusted GOFI Incremental GOFI
SB scaled χ2 with p-value SRMR RMSEA (90% CI) CFit CFI NNFI
M1 (df = 5, N = 1485) 28.83, p = .0000 0.021 0.115 (0.096; 0.135) 0.000 0.995 0.990
M2 (df = 3, N = 1485) 4.34, p = .2272 0.009 0.054 (0.030; 0.081) 0.358 1.000 0.999
target value p > .05 < .05 < .06 (< .05; < .08) > .05 > .95 > .95
  1. Note: M2 is the more restricted and nested model obtained from M1 by the addition of the covariance between the uniqueness variance components of items CNL1 and CNL4, and items CNL2 and CNL5
  2. df = degrees of freedom, N = effective sample size (list wise deletion). Goodness-of-fit indices (GOFI) are classified as absolute, parsimony-adjusted and incremental: SB scaled χ2 = Satorra-Bentler scaled chi-square, SRMR = Standardized Root Mean Square Residual, RMSEA = Root Mean Square Error of Approximation, CFit = p-value for test of Close Fit (i.e., the probability that RMSEA < 0.05), CFI = Comparative Fit Index, NNFI = Non-Normed Fit Index = TLI = Tucker & Lewis fit index. Bold values imply mediocre to poor data-model fit (the SB scaled χ2 p-value for M1 is insignificant owing to large sample size)