2003 IMTA Proceedings - International Military Testing Association

756
Models
M5: Strong Factorial
df χ2 ∆χ2 RMSEA SRMR GFI NNFI CFI
invariance (All LY,LX, BE
& GA paths invariant)
590 1474.50 - 0.060 0.062 0.90 0.92 0.92
M5-M4 14 - 26.23 *
M6 (All LY,LX,GA& BE
paths invariant, except for
BE(2,3) kept free
588 1467.05 -
M6-M4 12 - 18.78 ns Note abbreviations.
* ∆χ
0.060 0.066 0.90 0.92 0.92
2 is significant at p=0.05.
ns 2
∆χ is not significant at p=0.05.
As shown in Table 3 above, full measurement equivalence was obtained across the three
samples (∆χ 2 (30) = 31.86 for M2-M1 was not significant). The results also indicate that the basic
structural model was applicable across the three samples (∆χ 2 (30) =35.06 for M4-M3 was not
significant), hence suggesting weak factorial equivalence among the three samples. However, it
was too restrictive to constrain all the paths to be equal (∆χ 2 (14) = 26.23 for M5-M4 was
significant) and hence one path (ß(2,3) had to be freely estimated across the three samples so that
the structural model was applicable across the three samples (∆χ 2 (12) = 18.78 for M6-M4 was
not significant). The final models for the three samples are illustrated in Figures 2, 3, and 4
below, with their respective fit indices presented in Table 4. Fit indices of root mean square
error of approximation (RMSEA=.060), standardized root mean square residual (SRMR=.066),
goodness of fit index (GFI=.90), non-normed fit index (NNFI=.92), and comparative fit index
(CFI=.94) all indicate acceptable fit by conventional standards.
Figure 2: Model for NSFs
*0.40
Confidence
in Armed
Forces
R 2 =0.16
Perceived
Security of
Singapore
Sense of
Belonging
*0.96 Defensibility
of the
Country
*0.37
R 2 =0.91
*0.33
Note. * Asterisks indicate paths that could be constrained to be equal across the models.
45 th Annual Conference of the International Military Testing Association
Pensacola, Florida, 3-6 November 2003
R 2 =0.34 R 2 =0.58 R 2 =0.62
0.76
*0.27
Commitment
to National
Defence
*0.64
Support for
National
Service