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. 2026 Apr 5;16:16527. doi: 10.1038/s41598-026-46477-y

Table 2.

Standardized factor loadings for the seven-factor J-HPSIQ model (final SEM model).

Factor Indicator Standardized Factor loading 95% CI
Adherence
Acted on evaluation findings 0.725 [0.615, 0.834]
Annual evaluation of HPS initiatives 0.595 [0.462, 0.728]
HPS coordination in place 0.74 [0.640, 0.841]
Regular survey: hygiene / infection control 0.608 [0.478, 0.738]
Regular survey: nutrition 0.5 [0.348, 0.652]
Regular survey: physical activity 0.695 [0.586, 0.804]
Regular survey: physical environment 0.523 [0.375, 0.670]
Regular survey: relationships & sexuality 0.615 [0.487, 0.742]
Regular survey: sleep 0.535 [0.391, 0.679]
Regular survey: students requiring special support 0.539 [0.396, 0.682]
Regular survey: tobacco/alcohol/drugs 0.336 [0.160, 0.513]
Sufficient funding for HPS 0.597 [0.462, 0.732]
Sufficient staff time for HPS 0.696 [0.580, 0.812]
Dose
Behavioral guidelines in place (staff/students/parents) 0.704 [0.597, 0.810]
Early identification & discussion of student issues 0.561 [0.424, 0.698]
Formal lessons implemented (health topics) 0.742 [0.648, 0.836]
Policy includes topic: parents 0.822 [0.746, 0.899]
Policy includes topic: staff 0.847 [0.780, 0.913]
Policy includes topic: students 0.79 [0.703, 0.877]
Supplementary activities (campaigns/trips/guests) 0.417 [0.255, 0.579]
Participant Responsiveness
Stakeholder participation: education board 0.634 [0.518, 0.750]
Stakeholder participation: external advisors (public health/child services) 0.727 [0.634, 0.820]
Stakeholder participation: external partners (physician/dentist/pharmacist) 0.749 [0.661, 0.836]
Stakeholder participation: management 0.869 [0.816, 0.921]
Stakeholder participation: parents 0.793 [0.719, 0.867]
Stakeholder participation: school health coordinator 0.815 [0.745, 0.884]
Stakeholder participation: students 0.823 [0.756, 0.889]
Stakeholder participation: support staff 0.685 [0.580, 0.789]
Stakeholder participation: teachers 0.843 [0.783, 0.903]
Quality of Delivery
Active communication: staff/students/parents 0.807 [0.731, 0.883]
Core values/mission align with HPS 0.67 [0.556, 0.783]
Health considered in activities/environment 0.801 [0.724, 0.878]
Healthy choices encouraged in school 0.622 [0.496, 0.747]
Staff are role models for health 0.828 [0.758, 0.897]
Integration
External experts’ competence for HPS 0.845 [0.771, 0.920]
Regular contact with external supporters 0.773 [0.684, 0.863]
Teacher competence for HPS implementation 0.749 [0.653, 0.845]
Program Differentiation 1.000 (Fixed)
Adaptation 1.000 (Fixed)

Factor loadings are completely standardized estimates from the final structural equation model (SEM). Program Differentiation and Adaptation were modeled as single-indicator latent variables with their loadings fixed to 1.00 and error variances constrained based on an assumed reliability of ρ = 0.70. All other latent constructs were identified by at least two observed indicators.