Table 2

Model comparisons for the association of depression with a work-related injury among public university employees in southwestern United States, 2011–2013

Step 1						vs M1 (base)	vs M2	vs M3
Model	df	χ²	CFI	TLI	RMSEA	∆χ² (df), p value	∆χ² (df), p value	∆χ² (df), p value
M1 (base)*	35	657.13	0.972	0.960	0.016
M2†	33	656.47	0.972	0.957	0.017	9.38 (2), 0.009
M3‡	33	585.08	0.976	0.962	0.016	77.77 (2), <0.001	Not nested
M4§	31	542.48	0.977	0.963	0.015	116.51 (4), <0.001	118.80 (2), <0.001	44.34 (2), <0.001
Step 2						vs M4	vs M5	vs M6
Model	df	χ²	CFI	TLI	RMSEA	∆χ² (df), p value	∆χ² (df), p value	∆χ² (df), p value
M5¶	30	482.21	0.980	0.966	0.015	81.06 (1), <0.001
M6**	30	478.10	0.980	0.966	0.015	65.12 (1), <0.001	Not nested
M7††	29	426.39	0.982	0.969	0.014	130.73 (2), <0.001	56.13 (1), <0.001	67.45 (1), <0.001
Step 3						vs M7	vs M8	vs M9
Model	df	χ²	CFI	TLI	RMSEA	∆χ² (df), p value	∆χ² (df), p value	∆χ² (df), p value
M8‡‡	28	424.81	0.982	0.968	0.014	0.96 (1), 0.327
M9§§	28	368.70	0.985	0.973	0.013	197.80 (1), <0.001	Not nested
M10¶¶	27	366.63	0.985	0.972	0.013	68.74 (2), <0.001	72.16 (1), <0.001	1.36 (1), 0.244

*M1: first-order autoregressive associations only.
†M2: M1 plus paths from depression at T1 to injury at T2 and from depression at T2 to injury at T3.
‡M3: M1 plus paths from injury at T1 to depression at T2 and from injury at T2 to depression at T3.
§M4: M1 plus paths from depression at T1 to injury at T2, from depression at T2 to injury at T3, from injury at T1 to depression at T2 and from injury at T2 to depression at T3.
¶M5: M4 plus path from depression at T1 to depression at T3.
**M6: M4 plus path from injury at T1 to injury at T3.
††M7: M4 plus paths from depression at T1 to depression at T3 and from injury at T1 to injury at T3.
‡‡M8: M7 plus path from depression at T1 to injury at T3.
§§M9: M7 plus path from injury at T1 to depression at T3.
¶¶M10: M7 plus paths from depression at T1 to injury at T3 and from injury at T1 to depression at T3.
∆χ², chi-square difference test; base, baseline model; CFI, Comparative Fit Index; RMSEA, Root Mean Square Error of Approximation; TLI, Tucker-Lewis Index.