# of | Differences | Bootstrap | Observed | |||||
---|---|---|---|---|---|---|---|---|
# of Classes | Test | parameters | BIC | in BIC | LL | p = 0,05 | −2*(LL [H1]-LL [H0]) | |
A. Within LCA Models | ||||||||
1. H [a.1]:LCA-uv1 | 4 classes | H [a.1]|H [a.0] | 42 | 65,264 | 115 | −32,476,9 | 43,6 | 269,6* |
2. H [a.0]:LCA-ev2 | 3 classes | 21 | 65,379 | −32,611,7 | ||||
B. Within Strong Measurement Invariance (SMI) models | ||||||||
3. H [b.1]:SoMI-uv3 | 4 classes | H [b.1]|H [b.0] | 36 | 65,232 | 120 | −32,482,7 | 36,3 | 260,8* |
4. H [b.0]:SiMI-ev4 | 2 classes | 17 | 65,352 | −32,613,1 | ||||
C. Within Weak measurement invariance (WMI) models | ||||||||
5. H [c.1]:WMI-uv5 | 3 classes | H [c.1]|H [c.0] | 38 | 65,189 | 61 | −32,453,8 | 19,6 | 149,4* |
6. H [b.0]:WMI-ev6 | 3 classes | 26 | 65,250 | −32,528,5 | ||||
D. Within Null Measurement Invariance (NMI) models | ||||||||
7. H [d.1]:NMI-uv7 | 3 classes | H [d.1]|H [c.0] | 45 | 65,211 | 82 | −32,438,8 | 38,4 | 238,0* |
8. H [d.0]:NMI-ev8 | 2 classes | 25 | 65,293 | −32,557,8 | ||||
E. Testing the LPA-uv, WMI-uv and NMI-uv models against the null model (SMI-uv) | ||||||||
9. H [d.1]:NMI-uv7 | 3 classes | H [d.1]|H [b.1] | 45 | 65,211 | 21 | −32,438,8 | 282,3 | 87,8 |
10. H [c.1]:WMI-uv5 | 3 classes | H [c.1]|H [b.1] | 38 | 65,189 | 43 | −32,453,8 | 267,5 | 57,8 |
11. H [a.1]:LPA-uv1 | 4 classes | H [a.1]|H [b.1] | 42 | 65,264 | −32 | −32,476,9 | 306,1 | 11,6 |
The null model: | ||||||||
12. H [b.1]:SMI-uv4 | 4 classes | 36 | 65,232 | N.A.** | −32,482,7 | N.A. | N.A. | |
Notes: | ||||||||
* Null rejected | ||||||||
** N.A. Not Applicable | ||||||||
1. LPA-uv: LPA with unequal variances | ||||||||
2. LPA-ev: LPA with equal variances | ||||||||
3. SoMI-uv: FMM with Strong Measurement invariance - unequal variances | ||||||||
4. SiMI-ev: FMM with Strict Measurement invariance - equal variances | ||||||||
5. WMI-uv: FMM with Weak Measurement invariance - unequal variances | ||||||||
6. WMI-ev: FMM with Weak Measurement invariance - equal variances | ||||||||
7. NMI-uv: FMM with No Measurement invariance - unequal variances | ||||||||
8. NMI-ev: FMM with No Measurement invariance - equal variances |