Table 6B.
Strict invariance | M10–20 | M20–30 | M30–30 | M40–40 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Parameters | True | Bias | 90% CI of estimates | Bias | 90% CI of estimates | Bias | 90% CI of estimates | Bias | 90% CI of estimates | ||||
τ11 | 0.00 | 0.29 | 0.21 | 0.38 | 0.50 | 0.40 | 0.61 | 0.46 | 0.36 | 0.58 | 0.77 | 0.63 | 0.91 |
τ12 | 2.00 | 0.42 | 2.30 | 2.55 | 0.74 | 2.59 | 2.90 | 0.80 | 2.64 | 2.97 | 1.24 | 3.04 | 3.46 |
τ13 | 3.00 | 0.42 | 3.26 | 3.59 | 0.79 | 3.61 | 3.99 | 0.92 | 3.71 | 4.13 | 1.45 | 4.19 | 4.71 |
τ21 | 0.00 | 0.21 | 0.15 | 0.28 | 0.35 | 0.27 | 0.43 | 0.31 | 0.23 | 0.39 | 0.52 | 0.41 | 0.63 |
τ22 | 1.00 | 0.29 | 1.21 | 1.38 | 0.52 | 1.42 | 1.62 | 0.57 | 1.46 | 1.68 | 0.91 | 1.76 | 2.05 |
τ23 | 1.50 | 0.36 | 1.77 | 1.96 | 0.68 | 2.06 | 2.30 | 0.82 | 2.19 | 2.45 | 1.28 | 2.61 | 2.95 |
τ31 | 0.00 | 0.26 | 0.19 | 0.34 | 0.44 | 0.35 | 0.54 | 0.41 | 0.31 | 0.50 | 0.69 | 0.55 | 0.82 |
τ32 | 1.00 | 0.34 | 1.24 | 1.45 | 0.62 | 1.49 | 1.75 | 0.68 | 1.55 | 1.82 | 1.09 | 1.91 | 2.27 |
τ33 | 2.00 | 0.40 | 2.28 | 2.53 | 0.76 | 2.61 | 2.92 | 0.92 | 2.76 | 3.10 | 1.45 | 3.24 | 3.67 |
τ41 | 0.00 | 0.20 | 0.15 | 0.26 | 0.33 | 0.27 | 0.40 | 0.29 | 0.22 | 0.36 | 0.49 | 0.39 | 0.58 |
τ42 | 1.00 | 0.29 | 1.22 | 1.37 | 0.52 | 1.43 | 1.62 | 0.57 | 1.47 | 1.67 | 0.89 | 1.77 | 2.02 |
τ43 | 2.00 | 0.33 | 2.23 | 2.42 | 0.61 | 2.50 | 2.73 | 0.72 | 2.60 | 2.85 | 1.14 | 2.98 | 3.30 |
λ2 | 0.80 | −0.03 | 0.71 | 0.84 | −0.04 | 0.70 | 0.84 | −0.03 | 0.70 | 0.84 | −0.03 | 0.69 | 0.85 |
λ3 | 1.00 | −0.05 | 0.87 | 1.03 | −0.07 | 0.85 | 1.02 | −0.06 | 0.85 | 1.03 | −0.06 | 0.84 | 1.04 |
λ4 | 0.70 | 0.01 | 0.65 | 0.77 | 0.01 | 0.65 | 0.77 | 0.01 | 0.65 | 0.78 | 0.02 | 0.65 | 0.79 |
σ2(F)_US | 1.60 | 2.21 | 3.36 | 4.32 | 4.26 | 5.13 | 6.70 | 4.62 | 5.40 | 7.12 | 8.16 | 8.37 | 11.26 |
μ(F)_HK | 0.90 | 0.41 | 1.22 | 1.39 | 0.72 | 1.52 | 1.73 | 0.79 | 1.57 | 1.81 | 1.23 | 1.98 | 2.30 |
σ2(F)_HK | 1.00 | 0.01 | 0.89 | 1.15 | 0.00 | 0.87 | 1.14 | −0.03 | 0.84 | 1.11 | −0.05 | 0.82 | 1.10 |
The parameters not labeled with US or HK are constrained equal across the two groups.