When using an alternating treatments design it is important to randomly:

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In an alternating treatments design, it is important to randomly order the treatment conditions presented during each phase to control for any order effects that may influence the results. Randomly assigning participants to treatment conditions and selecting participants from the population of interest may also be important, but these are not specific to the alternating treatments design. Changing each criterion level is not related to randomization in this type of design.

When Using an Alternating Treatments Design It Is Important to Randomly