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. 2011 Dec 21;21(9):1607–1617. doi: 10.1007/s11136-011-0082-6

Table 3.

χ2 Difference testing between 3 branches of nested models

Model Δχ2 wrt previous model in Branch 1 df Δχ2 wrt previous model in Branch 2 df Δχ2 wrt previous model in Branch 3 df
1. Standard model (14 latents), incl. QL Root node Root node Root node
2. Physical health, mental health and QL 293 17
3. Physical burden, mental function and QL 77 2
4. Symptom burden, function and QL 377 15
5. HRQL and QL 241 3 47 2
6. Formative symptom burden (free weights), function, and QL 336 12
7. Formative symptom burden (fixed weights), function, and QL 241 5

All χ2 difference tests of model comparisons were significant at P < 0.01

χ2 difference testing—when using the WLSMV estimator—is not a simple difference between two model χ2s. In addition, a model can only be directly compared—using χ2 difference testing—with other models in the same branch of (nested) models