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. Author manuscript; available in PMC: 2017 Mar 1.
Published in final edited form as: Child Dev. 2016 Jan 5;87(2):593–611. doi: 10.1111/cdev.12477

Table 2.

TNRI Warmth and Conflict Model Fit Indices of Measurement Invariance Tests

Model Panel A: TNRI Warmth
Panel B: TNRI Conflict
χ2(df) χ2 Difference Test
RMSEA χ2(df) χ2 Difference Test
RMSEA
Compare χ2(df) p Compare χ2(df) p


(A) Invariance Across Time (Years 1 to 4)
 Configural 2045.56(1171) 0.032 419.55(198) 0.039
 Metric 2131.29(1207) Configural 85.734(36) < 0.001 0.032 462.95(213) Configural 43.40(15) < 0.001 0.040
 Scalar 2229.69(1246) Metric 98.401(39) < 0.001 0.033 568.86(231) Metric 105.90(18) < 0.001 0.044


(B) Invariance Across Students' Gender
Year 1
 Configural 349.81(118) 0.077 35.54 (12) 0.076
 Metric 370.36(130) Configural 20.55(12) 0.06 0.075 39.48(17) Configural 3.94(5) 0.56 0.062
 Scalar 376.61(142) Metric 6.24(12) 0.90 0.071 47.37(22) Metric 7.89(5) 0.16 0.058
Year 2
 Configural 325.29(118) 0.078 25.15(12) 0.060
 Metric 342.47(130) Configural 17.18(12) 0.14 0.075 29.96(17) Configural 4.82(5) 0.44 0.050
 Scalar 365.22(142) Metric 22.74(12) 0.03 0.074 43.08(22) Metric 13.11(5) 0.02 0.056
Year 3
 Configural 248.28(118) 0.064 21.93(12) 0.055
 Metric 267.46(130) Configural 19.18(12) 0.08 0.063 22.95(17) Configural 1.02(5) 0.96 0.036
 Scalar 285.39(142) Metric 17.92(12) 0.12 0.061 31.38(22) Metric 8.42(5) 0.13 0.040
Year 4
 Configural 314.85(118) 0.080 25.62(12) 0.066
 Metric 334.45(130) Configural 19.59(12) 0.08 0.078 32.62(17) Configural 6.99(5) 0.22 0.059
 Scalar 355.31(142) Metric 20.86(12) 0.05 0.076 43.32(22) Metric 10.70(5) 0.06 0.061

Note. RMSEA is root-mean-square error of approximation. Following the sequence of tests of measurement invariance (Meredith, 1993; Millsap & Cham, 2012), we tested configural, metric, and scalar invariance models using χ2 difference test (at α ≤ 0.05) and the examination of significant differences of the RMSEA (change ≤ 0.015; Chen, 2007) between the two nested invariance models.