Results

Binomial Logistic Regression

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Model Fit Measures
Model	Deviance	R²_McF	R²_CS	R²_N
1	1335	0.0292	0.00906	0.0338
2	1335	0.0292	0.00906	0.0338
3	1334	0.0301	0.00934	0.0349
4	1329	0.0336	0.01041	0.0389
5	1329	0.0336	0.01041	0.0389

Model Comparisons
Comparison
Model		Model	χ²	df	p
1	-	2	0.01251	1	0.911
2	-	3	1.24622	2	0.536
3	-	4	4.77516	5	0.444
4	-	5	0.00848	1	0.927

Model Specific ResultsModel 1Model 2Model 3Model 4Model 5

Model Coefficients - PARFAMTH
		95% Confidence Interval
Predictor	Estimate	Lower	Upper	SE	Z	p	Odds ratio
Intercept	-7.17696	-8.94777	-5.40615	0.9035	-7.944	< .001	7.64e-4
Internalizing_Problems_T_Score	0.01758	-0.02300	0.05816	0.0207	0.849	0.396	1.018
Externalizing_Problems_T_Score	-0.03821	-0.07852	0.00210	0.0206	-1.858	0.063	0.963
Total_Problems_T_Score	0.02604	-0.03915	0.09123	0.0333	0.783	0.434	1.026
Affective_Problems_T_Score	0.00722	-0.02011	0.03454	0.0139	0.518	0.605	1.007
Anxiety_Problems_T_Score	0.01046	-0.01236	0.03327	0.0116	0.898	0.369	1.011
Attention_Deficit_Hyp_T_Scr	0.00742	-0.01881	0.03365	0.0134	0.555	0.579	1.007
Oppositional_Def_Probl_T_Scr	0.03325	0.00181	0.06468	0.0160	2.073	0.038	1.034
ADOS_score	-0.03860	-0.11863	0.04143	0.0408	-0.945	0.344	0.962
Note. Estimates represent the log odds of "PARFAMTH = Family therapy" vs. "PARFAMTH = No family therapy"

Assumption Checks

Collinearity Statistics
	VIF	Tolerance
Internalizing_Problems_T_Score	.	.
Externalizing_Problems_T_Score	.	.
Total_Problems_T_Score	.	.
Affective_Problems_T_Score	.	.
Anxiety_Problems_T_Score	.	.
Attention_Deficit_Hyp_T_Scr	.	.
Oppositional_Def_Probl_T_Scr	.	.
ADOS_score	.	.

[3]

Prediction

Predictive Measures
Accuracy	Specificity	Sensitivity	AUC
.	.	.	.
Note. The cut-off value is set to 0.5

Model Coefficients - PARFAMTH
		95% Confidence Interval
Predictor	Estimate	Lower	Upper	SE	Z	p	Odds ratio
Intercept	-7.24470	-9.37764	-5.11176	1.0883	-6.657	< .001	7.14e-4
Internalizing_Problems_T_Score	0.01764	-0.02296	0.05823	0.0207	0.851	0.394	1.018
Externalizing_Problems_T_Score	-0.03818	-0.07850	0.00213	0.0206	-1.857	0.063	0.963
Total_Problems_T_Score	0.02626	-0.03904	0.09155	0.0333	0.788	0.431	1.027
Affective_Problems_T_Score	0.00712	-0.02026	0.03450	0.0140	0.510	0.610	1.007
Anxiety_Problems_T_Score	0.01038	-0.01247	0.03323	0.0117	0.890	0.373	1.010
Attention_Deficit_Hyp_T_Scr	0.00742	-0.01880	0.03364	0.0134	0.554	0.579	1.007
Oppositional_Def_Probl_T_Scr	0.03328	0.00184	0.06471	0.0160	2.075	0.038	1.034
ADOS_score	-0.03867	-0.11871	0.04136	0.0408	-0.947	0.344	0.962
ENFEMYR	0.00393	-0.06506	0.07292	0.0352	0.112	0.911	1.004
Note. Estimates represent the log odds of "PARFAMTH = Family therapy" vs. "PARFAMTH = No family therapy"

Assumption Checks

Collinearity Statistics
	VIF	Tolerance
Internalizing_Problems_T_Score	.	.
Externalizing_Problems_T_Score	.	.
Total_Problems_T_Score	.	.
Affective_Problems_T_Score	.	.
Anxiety_Problems_T_Score	.	.
Attention_Deficit_Hyp_T_Scr	.	.
Oppositional_Def_Probl_T_Scr	.	.
ADOS_score	.	.
ENFEMYR	.	.

[3]

Prediction

Predictive Measures
Accuracy	Specificity	Sensitivity	AUC
.	.	.	.
Note. The cut-off value is set to 0.5

Model Coefficients - PARFAMTH
		95% Confidence Interval
Predictor	Estimate	Lower	Upper	SE	Z	p	Odds ratio
Intercept	-7.07466	-9.25730	-4.89202	1.1136	-6.353	< .001	8.46e-4
Internalizing_Problems_T_Score	0.01861	-0.02200	0.05922	0.0207	0.898	0.369	1.019
Externalizing_Problems_T_Score	-0.03827	-0.07868	0.00213	0.0206	-1.857	0.063	0.962
Total_Problems_T_Score	0.02500	-0.04033	0.09033	0.0333	0.750	0.453	1.025
Affective_Problems_T_Score	0.00717	-0.02017	0.03451	0.0139	0.514	0.607	1.007
Anxiety_Problems_T_Score	0.01065	-0.01218	0.03349	0.0117	0.914	0.361	1.011
Attention_Deficit_Hyp_T_Scr	0.00716	-0.01906	0.03338	0.0134	0.535	0.593	1.007
Oppositional_Def_Probl_T_Scr	0.03375	0.00224	0.06525	0.0161	2.099	0.036	1.034
ADOS_score	-0.03742	-0.11753	0.04269	0.0409	-0.916	0.360	0.963
ENFEMYR	0.00669	-0.06475	0.07812	0.0364	0.183	0.854	1.007
PubIns:
1 – 0	-0.20920	-0.73062	0.31221	0.2660	-0.786	0.432	0.811
PrivIns:
1 – 0	-0.28708	-0.78169	0.20752	0.2524	-1.138	0.255	0.750
BothIns:
1 – 0	.	.	.	.	.	.	.
Note. Estimates represent the log odds of "PARFAMTH = Family therapy" vs. "PARFAMTH = No family therapy"

Assumption Checks

Collinearity Statistics
	VIF	Tolerance
Internalizing_Problems_T_Score	.	.
Externalizing_Problems_T_Score	.	.
Total_Problems_T_Score	.	.
Affective_Problems_T_Score	.	.
Anxiety_Problems_T_Score	.	.
Attention_Deficit_Hyp_T_Scr	.	.
Oppositional_Def_Probl_T_Scr	.	.
ADOS_score	.	.
ENFEMYR	.	.
PubIns	.	.
PrivIns	.	.
BothIns	.	.

[3]

Prediction

Predictive Measures
Accuracy	Specificity	Sensitivity	AUC
.	.	.	.
Note. The cut-off value is set to 0.5

Model Coefficients - PARFAMTH
		95% Confidence Interval
Predictor	Estimate	Lower	Upper	SE	Z	p	Odds ratio
Intercept	.	.	.	.	.	.	.
Internalizing_Problems_T_Score	.	.	.	.	.	.	.
Externalizing_Problems_T_Score	.	.	.	.	.	.	.
Total_Problems_T_Score	.	.	.	.	.	.	.
Affective_Problems_T_Score	.	.	.	.	.	.	.
Anxiety_Problems_T_Score	.	.	.	.	.	.	.
Attention_Deficit_Hyp_T_Scr	.	.	.	.	.	.	.
Oppositional_Def_Probl_T_Scr	.	.	.	.	.	.	.
ADOS_score	.	.	.	.	.	.	.
ENFEMYR	.	.	.	.	.	.	.
PubIns:
1 – 0	.	.	.	.	.	.	.
PrivIns:
1 – 0	.	.	.	.	.	.	.
BothIns:
1 – 0	.	.	.	.	.	.	.
Black:
1 – 0	.	.	.	.	.	.	.
INDIGEN:
1 – 0	.	.	.	.	.	.	.
ASIAN:
1 – 0	.	.	.	.	.	.	.
HAWIPI:
1 – 0	.	.	.	.	.	.	.
Mixed:
1 – 0	.	.	.	.	.	.	.
Note. Estimates represent the log odds of "PARFAMTH = Family therapy" vs. "PARFAMTH = No family therapy"

Assumption Checks

Collinearity Statistics
	VIF	Tolerance
Internalizing_Problems_T_Score	.	.
Externalizing_Problems_T_Score	.	.
Total_Problems_T_Score	.	.
Affective_Problems_T_Score	.	.
Anxiety_Problems_T_Score	.	.
Attention_Deficit_Hyp_T_Scr	.	.
Oppositional_Def_Probl_T_Scr	.	.
ADOS_score	.	.
ENFEMYR	.	.
PubIns	.	.
PrivIns	.	.
BothIns	.	.
Black	.	.
INDIGEN	.	.
ASIAN	.	.
HAWIPI	.	.
Mixed	.	.

[3]

Prediction

Predictive Measures
Accuracy	Specificity	Sensitivity	AUC
.	.	.	.
Note. The cut-off value is set to 0.5

Model Coefficients - PARFAMTH
		95% Confidence Interval
Predictor	Estimate	Lower	Upper	SE	Z	p	Odds ratio
Intercept	.	.	.	.	.	.	.
Internalizing_Problems_T_Score	.	.	.	.	.	.	.
Externalizing_Problems_T_Score	.	.	.	.	.	.	.
Total_Problems_T_Score	.	.	.	.	.	.	.
Affective_Problems_T_Score	.	.	.	.	.	.	.
Anxiety_Problems_T_Score	.	.	.	.	.	.	.
Attention_Deficit_Hyp_T_Scr	.	.	.	.	.	.	.
Oppositional_Def_Probl_T_Scr	.	.	.	.	.	.	.
ADOS_score	.	.	.	.	.	.	.
ENFEMYR	.	.	.	.	.	.	.
PubIns:
1 – 0	.	.	.	.	.	.	.
PrivIns:
1 – 0	.	.	.	.	.	.	.
BothIns:
1 – 0	.	.	.	.	.	.	.
Black:
1 – 0	.	.	.	.	.	.	.
INDIGEN:
1 – 0	.	.	.	.	.	.	.
ASIAN:
1 – 0	.	.	.	.	.	.	.
HAWIPI:
1 – 0	.	.	.	.	.	.	.
Mixed:
1 – 0	.	.	.	.	.	.	.
ETHNICA:
Latino – Non-Latino	.	.	.	.	.	.	.
Note. Estimates represent the log odds of "PARFAMTH = Family therapy" vs. "PARFAMTH = No family therapy"

Assumption Checks

Collinearity Statistics
	VIF	Tolerance
Internalizing_Problems_T_Score	.	.
Externalizing_Problems_T_Score	.	.
Total_Problems_T_Score	.	.
Affective_Problems_T_Score	.	.
Anxiety_Problems_T_Score	.	.
Attention_Deficit_Hyp_T_Scr	.	.
Oppositional_Def_Probl_T_Scr	.	.
ADOS_score	.	.
ENFEMYR	.	.
PubIns	.	.
PrivIns	.	.
BothIns	.	.
Black	.	.
INDIGEN	.	.
ASIAN	.	.
HAWIPI	.	.
Mixed	.	.
ETHNICA	.	.

[3]

Prediction

Predictive Measures
Accuracy	Specificity	Sensitivity	AUC
.	.	.	.
Note. The cut-off value is set to 0.5

References

[1] The jamovi project (2022). jamovi. (Version 2.3) [Computer Software]. Retrieved from https://www.jamovi.org.

[2] R Core Team (2021). R: A Language and environment for statistical computing. (Version 4.1) [Computer software]. Retrieved from https://cran.r-project.org. (R packages retrieved from MRAN snapshot 2022-01-01).

[3] Fox, J., & Weisberg, S. (2020). car: Companion to Applied Regression. [R package]. Retrieved from https://cran.r-project.org/package=car.