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https://doi.org/10.1186/s12874-021-01306-w.
\[\begin{aligned} {y_{it}} &= {\beta _0} + {\beta _1}{t_{it}} + {\beta _2}{x_t} + {\beta _3}\left( {{t_{it}} \times {x_t}} \right) \\&\quad+ {\beta _4}{Z_{it}} + {\alpha _i} + {\gamma _t} + { \in _{it}} \end{aligned}\]
Linear model with time variable, treatment variables, individual controls and seasonality patterns
● Grey line = Actual vitamin D tests prescribed monthly
● Red line = Statistical model predictions
This is our econometric model for the interrupted time series analysis. The model includes time trends, intervention effects, and controls for both patient and physician characteristics.