Table 2 Open in new tab Model...

Label	Model	# Parameters	AIC	BIC	logLik	Deviance	Δχ²	Δdf	P	Comparison
Extended
E1	Covariates Only	29	7542	7725	−3742	7484	−	−	−	−
E2	No Moderation	31	7301	7497	−3620	7239	244.8^a	2	<0.01	E2 versus E1
E3	Intercept Moderation	32	7265	7468	−3601	7201	37.69^a	1	<0.01	E3 versus E2
E4	Slope Moderation	34	7248	7463	−3590	7180	21.27^a	2	<0.01	E4 versus E3
Full
F1	Covariates Only	29	7542	7725	−3742	7484	NA	−	−	−
F2	No Moderation	31	7208	7404	−3573	7146	337.7^a	2	<0.01	F2 versus F1
F3	Intercept Moderation	32	7157	7359	−3546	7093	53.25^a	1	<0.01	F3 versus F2
F4	Slope Moderation	34	7126	7341	−3529	7058	35.07^a	2	<0.01	F4 versus F3

Label	Model	# Parameters	AIC	BIC	logLik	Deviance	Δχ²	Δdf	P	Comparison
Extended
E1	Covariates Only	29	7542	7725	−3742	7484	−	−	−	−
E2	No Moderation	31	7301	7497	−3620	7239	244.8^a	2	<0.01	E2 versus E1
E3	Intercept Moderation	32	7265	7468	−3601	7201	37.69^a	1	<0.01	E3 versus E2
E4	Slope Moderation	34	7248	7463	−3590	7180	21.27^a	2	<0.01	E4 versus E3
Full
F1	Covariates Only	29	7542	7725	−3742	7484	NA	−	−	−
F2	No Moderation	31	7208	7404	−3573	7146	337.7^a	2	<0.01	F2 versus F1
F3	Intercept Moderation	32	7157	7359	−3546	7093	53.25^a	1	<0.01	F3 versus F2
F4	Slope Moderation	34	7126	7341	−3529	7058	35.07^a	2	<0.01	F4 versus F3

Table 2

Model comparisons for external validation of extended and full APPROX-CR scores

Label	Model	# Parameters	AIC	BIC	logLik	Deviance	Δχ²	Δdf	P	Comparison
Extended
E1	Covariates Only	29	7542	7725	−3742	7484	−	−	−	−
E2	No Moderation	31	7301	7497	−3620	7239	244.8^a	2	<0.01	E2 versus E1
E3	Intercept Moderation	32	7265	7468	−3601	7201	37.69^a	1	<0.01	E3 versus E2
E4	Slope Moderation	34	7248	7463	−3590	7180	21.27^a	2	<0.01	E4 versus E3
Full
F1	Covariates Only	29	7542	7725	−3742	7484	NA	−	−	−
F2	No Moderation	31	7208	7404	−3573	7146	337.7^a	2	<0.01	F2 versus F1
F3	Intercept Moderation	32	7157	7359	−3546	7093	53.25^a	1	<0.01	F3 versus F2
F4	Slope Moderation	34	7126	7341	−3529	7058	35.07^a	2	<0.01	F4 versus F3

Label	Model	# Parameters	AIC	BIC	logLik	Deviance	Δχ²	Δdf	P	Comparison
Extended
E1	Covariates Only	29	7542	7725	−3742	7484	−	−	−	−
E2	No Moderation	31	7301	7497	−3620	7239	244.8^a	2	<0.01	E2 versus E1
E3	Intercept Moderation	32	7265	7468	−3601	7201	37.69^a	1	<0.01	E3 versus E2
E4	Slope Moderation	34	7248	7463	−3590	7180	21.27^a	2	<0.01	E4 versus E3
Full
F1	Covariates Only	29	7542	7725	−3742	7484	NA	−	−	−
F2	No Moderation	31	7208	7404	−3573	7146	337.7^a	2	<0.01	F2 versus F1
F3	Intercept Moderation	32	7157	7359	−3546	7093	53.25^a	1	<0.01	F3 versus F2
F4	Slope Moderation	34	7126	7341	−3529	7058	35.07^a	2	<0.01	F4 versus F3

AIC, Akaike information criterion; BIC, Bayes information criterion.

The Comparison column refers to which models (named in the Label column) are being compared with χ² tests.

^aP < 0.01.