Is there a carry-over effect when using a mixed-effect model?

Example: Trial with two groups: Intervention and controls. The treatment is applied at several time points, and the effect of the treatment is measured at each point.

A mixed-effect model for repeated measures is used.

Between each time point, one must speculate that there could be a carry-over effect of the treatment from the previous time point.

If you're not able to alter the study design, e.g., the time between each time point, how can you test a carry-over effect?

I am using Stata.

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