. Author manuscript; available in PMC: 2024 Apr 4.

Published in final edited form as: Behav Res Methods. 2023 May 8;56(3):1770–1792. doi: 10.3758/s13428-023-02119-z

Table 4:

Scientific questions about proximal effects and model parameters for a hybrid factorial-MRT

Scientific question about proximal effects		Type	Model (3) parameters
A	Is it beneficial (in terms of increasing self-monitoring of dietary intake in the next 12 hours) to deliver (vs. not deliver) a mobile-based prompt every day at mid-day?	Main effect of the time-varying factor, averaging over the factors that were assigned at program entry and all decision points	2γ₀
B	Does the effect of delivering (vs. not delivering) a daily prompt on self-monitoring of dietary intake in the next 12 hours varies by whether or not coaching was initiated at the beginning of the program?	Two-way interaction between the time-varying factor and one of the factors that was assigned at program entry, averaging over the other factor and all decision points	2γ₁
C	Does the effect of delivering (vs. not delivering) a daily prompt on self-monitoring of dietary intake in the next 12 hours varies by whether or not meal replacement was initiated at the beginning of the program?	Two-way interaction between the time-varying factor and one of the factors that was assigned at program entry, averaging over the other factor and all decision points	2γ₂
D	Does the effect of delivering (vs. not delivering) a daily prompt on self-monitoring of dietary intake in the next 12 hours vary by the interplay between Add Coaching and Add Meal, averaging over all decision points?	Three-way interaction between the time-varying factor and the two factors assigned at program entry	2γ₃