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. Author manuscript; available in PMC: 2018 Sep 1.
Published in final edited form as: Psychol Addict Behav. 2017 Aug 14;31(6):664–675. doi: 10.1037/adb0000304

Table 3.

Model-Fitting Results for Univariate Latent Growth Models

Δχ2
Δdf
p-value
Tobacco Use Frequency
 Linear --
 Partly nonlineara 559.13 1 <.0001
 Freeb,c -- -- --
Alcohol Use Frequency
 Linear --
 Partly nonlineara 180.53 1 <.0001
 Freeb 9.88 1 .002
Alcohol Use Quantity
 Linear --
 Partly nonlineara 5.16 1 .023
 Freeb 83.34 1 <.0001
Cannabis Use Frequency
 Linear --
 Partly nonlineara 7.45 1 .006
 Freeb 4.68 1 .030

Notes. The partly nonlinear models for alcohol and cannabis use frequency freed the slope loadings for the last time point.

a

Comparison for chi-square test is between linear and partly nonlinear models.

b

Comparison for chi-square test is between partly nonlinear and free models.

c

Because the univariate model for tobacco use frequency contained only three times of measurement, the partly nonlinear and free models were not nested and could not be formally compared. No nested model comparisons were conducted for tobacco use quantity, as the partly nonlinear and FCSI models were just identified and therefore chi-square estimates of model fit were not available. Model comparisons for categorical outcomes were conducted using the DIFFTEST option. Model comparisons for continuous outcomes were conducted using the Satorra-Bentler scaled chi-square difference test.