Rethinking supervision for learning health systems
HTSR | University of Twente
September 24, 2025
Control
Assures (minimum) standards; reduces variance, may prevent fraudulent behavior,
but: can create gaming, paperwork load, and fear → less experimentation & learning
Trust
Psychological safety → enhances learning: experiment, evaluatate, reflect and adapt
Wider evidence base for defensive medicine
Case: C-sections in the U.S.
Control ensures minimum standards, but may create fear and rigidity
Our challenges (aging, rising costs, workforce shortages) require experimentation
Experimentation needs trust: psychological safety to test, fail, and adapt
Coordination and shared learning across systems can turn local insights into international progress
Let total inspections per period be \(B\)
allocation shares \(a_A^{(t)}\) and \(a_B^{(t)}=1-a_A^{(t)}\).
\[ I_A^{(t)} = \mathrm{round}\!\big(B\,a_A^{(t)}\big), \quad I_B^{(t)} = B - I_A^{(t)}. \]
Detections (true event probabilities \(p_A, p_B\)):
\[ D_A^{(t)} \sim \mathrm{Binomial}\!\big(I_A^{(t)}, p_A\big), \quad D_B^{(t)} \sim \mathrm{Binomial}\!\big(I_B^{(t)}, p_B\big). \]
Naïve observed “risk” (detections per capita) with smoothing \(\varepsilon>0\):
\[ r_A^{(t)}=\frac{D_A^{(t)}}{N_A}, \quad r_B^{(t)}=\frac{D_B^{(t)}}{N_B}. \]
Target share from observed risks:
\[ \tilde a_A^{(t+1)}=\frac{r_A^{(t)}+\varepsilon}{r_A^{(t)}+r_B^{(t)}+2\varepsilon}, \quad \tilde a_B^{(t+1)} = 1-\tilde a_A^{(t+1)}. \]
Update with inertia \(\lambda\in(0,1]\):
\[ a_A^{(t+1)}=(1-\lambda)\,a_A^{(t)}+\lambda\,\tilde a_A^{(t+1)}, \qquad a_B^{(t+1)}=1-a_A^{(t+1)}. \]
39th EPSO Conference in Dublin-Ireland