Notes: A simplistic constant availability pattern.

Notes: A linearly increasing pattern of expected availability might be used if participants will find the intervention useful and thus more likely to turn the intervention on

A linearly decreasing pattern of expected availability might be used if participants learn more about the intervetion and get bored through the course of the study and thus getting less likely to turn on the invervention.

Notes: A quadratic pattern of availability. Here the changing point of availability refers to day of either maximal of minimal availability, depending on the input values of initial and average availability

Notes : The quadratic form of a proximal treatment effect might be used if you expect that initially participants will enthusiastically engage in the apps and thus the proximal effect will get higher. Then, as the study goes on, some participants are likely to disengage or begin to ignore the activity suggestions and hence a downward trend.

Notes : The proximal treatment effect stays constant over the study.

Notes : The linearly increasing form of a proximal treatment effect might be used if participants will get more enthusiastically engage in the apps and thus the proximal effect will increase as the study goes.

The linearly decreasing form of a proximal treatment effect might be used if participants are likely to disengage the activity suggestionss and thus the proximal effect will decrease as the study goes.