TABLE 1.
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.