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. Author manuscript; available in PMC: 2014 Dec 1.
Published in final edited form as: Psychol Assess. 2013 Aug 5;25(4):1195–1210. doi: 10.1037/a0033695

Table 4.

Measurement Invariance for Scales Across Ethnic Groups

Scale Χ2 df p ΔΧ2 (p) CFI ΔCFI TLI SRMR RMSEA RMSEA 90% CI
Cost of Positivity
 Step 1: Configural invar. 6.12 6 .4098 1.00 1.00 .03 .01 .00 – .12
 Step 2: Metric invariance 17.94 14 .2094 11.82 (.1594) .96 .04 .95 .10 .05 .00 – .11
 Step 3: Scalar invariance 35.79 20 .0163 17.85 (.0066) .84 .12 .85 .11 .08 .03 – .12
  Item 10 freed 25.63 18 .1085 7.69 (.1036) .92 .04 .92 .10 .06 .00 – .11

Value of Anger
 Step 1: Configural invar. 41.62 27 .0358 .85 .74 .10 .07 .02 – .11
  Revised: 4 items 3.94 6 .6843 1.00 1.12 .04 .00 .00 – .09
 Step 2: Metric invariance 13.94 14 .4540 10.00 (.2650) 1.00 .00 1.00 .08 .00 .00 – .09
 Step 3: Scalar invariance 33.34 20 .0310 20.00 (.0028) .74 .26 .77 .09 .07 .02 – .11
  Item 23 freed 15.97 18 .5950 2.03 (.7302) 1.00 .00 1.04 .07 .00 .00 – .07

Manipulation
 Step 1: Configural invar. 5.13 6 .5267 1.00 1.02 .03 .00 .00 – .11
 Step 2: Metric invariance 17.59 14 .1458 12.46 (.1318) .97 .03 .96 .10 .05 .00 – .11
 Step 3: Scalar invariance 22.59 20 .3094 3.00 (.8088) .98 −.01 .98 .10 .03 .00 – .09

Control
 Step 1: Configural invar. 22.47 15 .0959 .96 .91 .05 .06 .00 – .12
 Step 2: Metric invariance 39.89 30 .1070 17.42 (.2944) .94 .02 .94 .09 .05 .00 – .09
 Step 3: Scalar invariance 52.31 33 .0176 12.42 (.0061) .88 .06 .90 .08 .07 .03 – .10
  Item 36 freed 38.79 31 .1586 −1.20 (1.00) .96 −.02 .96 .07 .05 .00 – .09

Parental Knowledge
 Step 1: Configural invar. 1.66 3 .6468 1.00 1.05 .04 .00 .00 – .12
 Step 2: Metric invariance 23.46 7 .0014 21.80 (.0002) .79 .21 .83 .14 .14 .08 – .21
  Item 42 freed 5.72 6 .4551 4.06 (.2551) 1.00 .00 1.01 .07 .00 .00 – .12
 Step 3: Scalar invariance 12.48 10 .2540 6.76 (.1491) .97 .03 .97 .09 .05 .00 – .12

Autonomy
 Step 1: Configural invar. 59.73 42 .0372 .94 .91 .08 .06 .02 – .09
  Revised: 3 items 2.16 3 .5392 1.00 1.02 .04 .00 .00 – .14
 Step 2: Metric invariance 13.63 7 .0581 11.47 (.0218) .95 .05 .94 .09 .09 .00 – .16
  Item 49 freed 8.42 6 .2087 6.26 (.0996) .98 .02 .97 .09 .06 .00 – .14
 Step 3: Scalar invariance 17.46 10 .0647 9.04 (.0601) .94 .04 .95 .10 .08 .00 – .14

Stability
 Step 1: Configural invar. 6.30 6 .3902 1.00 .99 .04 .02 .00 – .12
 Step 2: Metric invariance 17.22 14 .2446 10.92 (.2063) .96 .04 .95 .07 .04 .00 – .10
 Step 3: Scalar invariance 27.41 20 .1240 10.19 (.1169) .92 .04 .93 .08 .06 .00 – .10