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. 2010 Jul 21;10:68. doi: 10.1186/1471-2288-10-68

Table 5.

Measurement and structural invariance across gender at cycle 1 Seniors (65 years old and over; n = 2525)

Level of invariance X2
df
p value
CFI TLI RMSEA Δχ2
dfc
p value
Measurement invariance
 M1. Configural 35.8
14
< .0001
0.994 0.994 0.035 N/A
 M2. Metric (vs. M1) 22.9
15
< .0001
0.998 0.998 0.020 0.634
5
0.9864
 M3. Tau equivalence (vs. M2) 249.1
19
< .0001
0.934 0.955 0.098 207.3
5
< .0001
 M4. Scalar - Complete (vs. M2) 60.8
23
< .0001
0.989 0.994 0.036 54.6
12
< .0001
 M5. Scalar - Partial a (vs. M2) 32.7
20
< .0001
0.996 0.998 0.022 20.9
9
0.0132
 M6. Scale factor - Partialb (vs. M5) 41.3
22
< .0001
0.994 0.997 0.026 22.9
10
0.0112
Structural invariance
 M7. Latent variance (vs. M6) 26.6
16
< .0001
0.997 0.998 0.023 0.324
1
0.5691
 M8. Latent means (vs. M7) 88.4
15
< .0001
0.979 0.982 0.062 36.7
2
< .0001

a The constraint of equal item threshold was relaxed for item C (restless or fidgety) and item D (hopeless).

b Complete invariance of the scale factors could not be investigated since items C and D had to be unconstrained in the preceding models (i.e., metric or scalar invariance model). No additional items were freed to reach partial scale factor invariance.

c The degrees of freedom for the chi-square tests are adjusted for the WLSMV estimator and do not correspond to difference of degrees of freedom between the more constrained and the less constrained model.