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  • Mixed model: How to include implementation quality of a school-based intervention (longitudinal data)?

    Hi

    I'm currently writing my masters thesis and i'm analyzing data from a school-based intervention study. The statistical analysis is conducted with STATA 17.
    We want to examine whether the implementation quality of a school-based intervention has an effect on the effectiveness of the intervention.

    As i just started to work with mixed models i'm not sure whether my model is correct.

    My statistical approach is adopted from a study by Humphrey et al. (2018): https://doi.org/10.1007/s11121-017-0802-4

    I further rely on the book by Twisk (2019). You can access the relevant part here: https://1drv.ms/u/s!AggQKHp7NGMFg6NMkBiK-rjcZ-EodQ?e=23xJmS

    Stress measurement:
    z_k_sskj_vul1: vulnerability to stress at time 1 (continuous, z-transformed)
    z_k_sskj_vul2: vulnerability to stress at time 2 (continuous, z-transformed)

    Implementation Quality:
    resp_high: high responsiveness of children (1 if high, otherwise 0)
    resp_med: medium responsiveness of children (1 if medium, otherwise 0)
    resp_low: low responsiveness of children (1 if low, otherwise 0)
    qual_high: high responsiveness of children (1 if high, otherwise 0)
    qual_med: medium responsiveness of children (1 if medium, otherwise 0)
    qual_low: low responsiveness of children (1 if low, otherwise 0)

    --> The implementation quality is measured on the classroom level, stress is measured on the students level.

    I choose a two-level approach with students on level 1 and classrooms on level 2.

    First i checked the ICC in order to assess the between-group variable. Here i'm not sure whether to include z_k_sskj_vul1 in the model.
    ## unconditional mdel z_k_sskj_vul2 (check for between-classroom variance)
    mixed z_k_sskj_vul2 || classroom:
    estat icc
    --> output: https://1drv.ms/u/s!AggQKHp7NGMFg6NMkBiK-rjcZ-EodQ?e=23xJmS

    Second i built this model in order to assess whether the effect differs for high or medium implementation quality in comparison with low implementation quality. I included z_k_sskj_vul1 to control for baseline measurements.
    ## mixed model to examine implementation quality
    mixed z_k_sskj_vul2 resp_high resp_med qual_high qual_med z_k_sskj_vul1 || classroom:
    --> output: https://1drv.ms/u/s!AggQKHp7NGMFg6NMkBiK-rjcZ-EodQ?e=23xJmS

    I would be really grateful if someone could just check if my model is correct.
    Thank you
    David
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