Skip to main content
. 2015 Sep;105(9):1926–1934. doi: 10.2105/AJPH.2015.302683

TABLE 2—

Statistic and Descriptive Fit Indices From Multilevel Modeling to Explore Differences in Growth Trends in Mental Health Recovery Scores Over Time Between Patient-Centered Medical Home and Services as Usual Participants: San Diego County, CA, 2011–2013

Mental Health Assessment Tool and Model Number LR Test (χ2) vs Single-Level Model LR Test (χ2) Comparison With Preceding Model χ2 Difference (∆χ2) Test Comparison With Model 1 CFI Comparison With Model 1 AIC
Clinician-reported mental health recovery
Total IMR
 Model 1 1 014.45***
 Model 2 1 033.04*** 514.002*** 7327.14*** 0.0694 10 668.77
 Model 3 2 589.69*** 1 556.656*** 11 491.73
 Model 4 7 286.66*** 4 696.970*** 13 019.77
IMR factor 1: recovery
 Model 1 2 381.49***
 Model 2 2 242.04*** 760.912*** 5247.56*** 0.1336 7 425.19
 Model 3 2 262.65*** 20.612*** 7 440.01
 Model 4 2 265.87*** 3.220 7 425.97
IMR factor 2: management
 Model 1 1 615.46***
 Model 2 1 562.06*** 730.202*** 13 254.00*** 0.1027 18 956.51
 Model 3 1 676.75*** 116.138*** 19 039.31
 Model 4 1 686.10*** 7.900** 19 029.36
IMR factor 3: substance
 Model 1 3 007.28***
 Model 2 3 008.63*** −31.728 208.33*** 0.2110 353.79
 Model 3 3 008.63*** 0.000 359.79
 Model 4 3 008.63*** 2.000 359.79
Client self-reported mental health recovery
Total RMQ
 Model 1 1 838.62***
 Model 2 1 829.48*** 2.490 198.18** 0.1534 322.98
 Model 3 1 829.48*** 0.000 326.98
 Model 4 1 829.48*** 0.000 326.98

Note. AIC = Akaike information criterion; CFI = comparative fit indices; IMR = Illness Management and Recovery scale; LR = log-likelihood ratio; RMQ = Recovery Markers Questionnaire. Model 1 is a 2-level variance components model including only an intercept, patient identifier, a repeated assessment-level residual error term, and the patient propensity score. Model 2 is a 2-level model wherein the days since baseline assessment, treatment group condition, and the treatment group condition by days interaction explanatory variables were introduced at the repeated assessment level. Model 3 is a 2-level model similar to model 2 with the exception that the effect of the treatment group condition was introduced as a patient-level coefficient. Model 4 is the full multivariate model. It is a 2-level model similar to model 3 with the exception that the effect of the cross-level interaction between treatment group condition and baseline assessment was introduced as a patient-level coefficient. The LR test (χ2) comparison with preceding model associated with model 4 addresses the question as to whether changes in mental health recovery over time differ between patient-centered medical home and services as usual participants.

*P < .05; **P < .01; ***P < .001.