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. 2020 Jun 30;11:1419. doi: 10.3389/fpsyg.2020.01419

TABLE 1.

Fit indices for the measurement models (N = 314).

Model χ 2 df GFI CFI NFI TLI RMSEA Model comparisons Δχ 2 Δdf
Wave 1
(a): Independence model 1893.12 55 0.37 0.00 0.00 0.00 0.33
(b): Single-factor model 475.56 44 0.75 0.77 0.75 0.71 0.18 (a) vs. (b) 1417.56*** 11
(c) Proposed model, no covariances 1079.26 49 0.59 0.44 0.43 0.37 0.23 (a) vs. (c) 813.86*** 6
(d) Proposed model, covariances allowed 151.72 28 0.93 0.93 0.92 0.87 0.12 (c) vs. (d) 1079.26*** 27
Wave 2
(a) Independence model 2038.16 55 0.22 0.00 0.00 0.00 0.34
(b) Single-factor model 487.17 44 0.75 0.78 0.76 0.72 0.18 (a) vs. (b) 1550.99*** 11
(c) Proposed model, no covariances 1106.16 49 0.59 0.47 0.46 0.40 0.26 (a) vs. (c) 932.00*** 6
(d) Proposed model, covariances allowed 108.68 28 0.94 0.96 0.95 0.92 0.09 (c) vs. (d) 997.48*** 27
Measurement invariance tests: Longitudinal comparisons of model (d)
(e) Unconstrained model (baseline model) 321.33 122 0.92 0.96 0.94 0.93 0.07
(f) Baseline model (e), plus factor loadings of engagement and need satisfaction constrained across time 327.80 128 0.92 0.96 0.94 0.93 0.07 (e) vs. (f) 6.47 6
(g) Model (f), plus error variances of the indicators of engagement and need satisfaction constrained across time# 337.89 134 0.91 0.96 0.94 0.93 0.07 (f) vs. (g) 10.09 6

#The unstandardized loadings of the observed indicators vigor, dedication and absorption on the latent factor Work engagement were 1.08, 1.36, and 1.01, respectively, and their Time 1/Time 2 standardized loadings were 0.83 and 0.86 (vigor), 0.98 and 0.97 (dedication), and 0.80 and 0.83 (absorption). The unstandardized loadings of the observed indicators competence satisfaction, autonomy satisfaction and relatedness satisfaction on the latent factor Need satisfaction were 0.32, 0.42, and 0.63, respectively. Their Time 1/Time 2 standardized loadings were 0.50 and 0.54 (competence), 0.58 and 0.59 (autonomy) and 0.88 and 0.89 (relational). All loadings were significant at p < 0.001.