Table 2.
Nested model comparisons and chi-square difference tests for multigroup equality constraints across ethnoracially minoritized and white youth
| Model | Paths constrained | Compare | chi2 | diff(df) | p | Pass/fail |
|---|---|---|---|---|---|---|
| 1 | Unconstrained model | n/a | n/a | n/a | n/a | |
| 2 | Fully constrained model | 2, 1 | 58.61 | -33.00 | 0.00** | Fail |
| Pairwise comparisons | ||||||
| 3 | Own discrim to ERI EXP const. | 3, 1 | 0.34 | (1) | 0.56 | Pass |
| 4 | Own discrim to ERI RES const. | 4, 3 | 0.06 | (1) | 0.81 | Pass |
| 5 | Own discrim to ERI NA const. | 5, 4 | 5.56 | (1) | 0.02* | Fail |
| 6 | % same-group to ERI EXP const. | 6, 5 | 0.71 | (1) | 0.40 | Pass |
| 7 | % same-group to ERI RES const. | 7, 6 | 0.30 | (1) | 0.58 | Pass |
| 8 | % same-group to ERI NA const. | 8, 7 | 4.07 | (1) | 0.04* | Fail |
| 9 | Friend cult soc to ERI EXP const. | 9, 8 | 3.71 | (1) | 0.05* | Fail |
| 10 | Friend cult soc to ERI RES const. | 10, 9 | 0.19 | (1) | 0.67 | Pass |
| 11 | Friend cult soc to ERI NA const. | 11, 10 | 1.52 | (1) | 0.22 | Pass |
| 12 | Friend discrim to ERI EXP const. | 12, 11 | 0.59 | (1) | 0.44 | Pass |
| 13 | Friend discrim to ERI RES const. | 13, 12 | 2.89 | (1) | 0.09 | Pass |
| 14 | Friend discrim to ERI NA const. | 14, 13 | 3.51 | (1) | 0.06 | Pass |
| 15 | Friend ERI EXP to ERI EXP const. | 15, 14 | 1.44 | (1) | 0.23 | Pass |
| 16 | Friend ERI RES to ERI RES const. | 16, 15 | 2.42 | (1) | 0.12 | Pass |
| 17 | Friend ERI NA to ERI NA const. | 17, 16 | 3.99 | (1) | 0.05* | Fail |
| 18 | Sch prom cult to ERI EXP const. | 18, 17 | 0.22 | (1) | 0.64 | Pass |
| 19 | Sch prom cult to ERI RES const. | 19, 18 | 0.02 | (1) | 0.88 | Pass |
| 20 | Sch prom cult to ERI NA const. | 20, 19 | 21.21 | (1) | 0.00** | Fail |
| 21 | Sch CC to ERI EXP const. | 21, 20 | 6.31 | (1) | 0.01* | Fail |
| 22 | Sch CC to ERI RES const. | 22, 21 | 2.81 | (1) | 0.09 | Pass |
| 23 | Sch CC to ERI NA const. | 23, 22 | 2.99 | (1) | 0.08 | Pass |
| 24 | Gender to ERI EXP const. | 24, 23 | 0.02 | (1) | 0.89 | Pass |
| 25 | Gender to ERI RES const. | 25, 24 | 1.26 | (1) | 0.26 | Pass |
| 26 | Gender to ERI NA const. | 26, 25 | 1.86 | (1) | 0.17 | Pass |
| 27 | Generat. status to ERI EXP const. | 27, 26 | 3.42 | (1) | 0.06 | Pass |
| 28 | Generat. status to ERI RES const. | 28, 27 | 0.03 | (1) | 0.86 | Pass |
| 29 | Generat. status to ERI NA const. | 29, 28 | 0.25 | (1) | 0.62 | Pass |
| 30 | Grade 6 multieth to ERI EXP const. | 30, 29 | 0.235 | (1) | 0.63 | Pass |
| 31 | Grade 6 multieth to ERI RES const. | 31, 30 | 2.346 | (1) | 0.13 | Pass |
| 32 | Grade 6 multieth to ERI NA const. | 32, 31 | 1.371 | (1) | 0.24 | Pass |
| 33 | Grade 9 multieth to ERI EXP const. | 33, 32 | 0.073 | (1) | 0.79 | Pass |
| 34 | Grade 9 multieth to ERI RES const. | 34, 33 | 0.004 | (1) | 0.95 | Pass |
| 35 | Grade 9 multieth to ERI NA const. | 35, 34 | 0.854 | (1) | 0.36 | Pass |
Note: Pass/fail refers to whether the model constraints resulted in significantly worse (i.e., fail) or equivalent (i.e., pass) fit relative to the comparison model. *p < .05, **p < .01.