Table 4.
Non-standardized parameters and fit indices with standard error (SE) for main model (F1cov) when using maximum likelihood (ML), asymptotically distribution free (ADF) testing, normalized data (Tukey’s formula), and bootstrapping techniques (Norwegian health interview survey 2005; N = 4,984)
| ML (SE) | Bayesian analysis (SE) | ADF (SE) | Normalized data ML (SE) | Bootstrappingc ML (SE) | |
|---|---|---|---|---|---|
| λ11a | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 |
| λ21 | 0.859 (0.011)* | 0.859 (0.011) | 0.843 (0.014)* | 0.921 (0.013)* | 0.859 (0.015)* |
| λ31 | 0.881 (0.011)* | 0.881 (0.011) | 0.871 (0.014)* | 0.957 (0.012)* | 0.881 (0.014)* |
| λ41 | 0.850 (0.013)* | 0.850 (0.013) | 0.849 (0.016)* | 0.882 (0.013)* | 0.850 (0.016)* |
| λ51 | 0.948 (0.016)* | 0.969 (0.016) | 0.951 (0.017)* | 0.844 (0.014)* | 0.949 (0.016)* |
| τ1 | 2.935 (0.02)* | 2.934 (0.020) | – | −0.017 (0.013) | 2.936 (0.02)* |
| τ2 | 2.443 (0.019)* | 2.443 (0.018) | – | −0.025 (0.013)* | 2.443 (0.018)* |
| τ3 | 2.355 (0.018)* | 2.354 (0.018) | – | −0.026 (0.013)* | 2.355 (0.018)* |
| τ4 | 2.688 (0.02)* | 2.687 (0.019) | – | −0.021 (0.013) | 2.689 (0.019)* |
| τ5 | 3.377 (0.024)* | 3.376 (0.024) | – | −0.011 (0.013) | 3.378 (0.024)* |
| θ1 | 0.486 (0.014)* | 0.486 (0.015) | 0.450 (0.019)* | 0.204 (0.006)* | 0.486 (0.021)* |
| θ2 | 0.530 (0.014)* | 0.530 (0.014) | 0.533 (0.021)* | 0.255 (0.007)* | 0.530 (0.022)* |
| θ3 | 0.392 (0.011)* | 0.393 (0.012) | 0.386 (0.018)* | 0.201 (0.006)* | 0.391 (0.019)* |
| θ4 | 0.759 (0.018)* | 0.760 (0.018) | 0.753 (0.028)* | 0.333 (0.008)* | 0.757 (0.028)* |
| θ5 | 1.396 (0.031)* | 1.400 (0.032) | 1.362 (0.042)* | 0.404 (0.009)* | 1.395 (0.043)* |
| cov45 | 0.195 (0.018)* | 0.195 (0.017) | 0.174 (0.023)* | 0.071 (0.006)* | 0.195 (0.023)* |
| α | 1.608 (0.042)* | 1.610 (0.042) | 1.610 (0.045)* | 0.650 (0.017)* | 1.607 (0.045)* |
| Chi2 (df)b | 89.4 (4)* | – | 44.4 (4)* | 64.3 (4)* | 97.5 (0.611) (df = 4)d |
| CFI | 0.995 | – | 0.978 | 0.996 | |
| RMSEA | 0.065 | – | 0.048 | 0.055 | |
| PRatio | 0.400 | – | 0.400 | 0.267 | |
| PNFI | 0.398 | – | 0.390 | 0.266 |
λ = item factor loading between latent variable (1) and items 1 through 5; τ = item intercepts for items 1 through 5; θ = item residuals for items 1 through 5; cov covariance between item 4 and 5; α=latent mean; afixed at 1.0; bin 1,000 s; cBootstrapping with 2,000 samples, 95% CI, and significance tested with bias corrected CI; dmean chi2; * P < 0.01. Model as described in Fig. 1