Background: I will study several gas sensors to select the "best" one. Best one means the one that provides the fastest reaction time, most clear and distinct signal and also shows the least influence from different gases.
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This is overly broad, for more useful answers tell us some context, or your intended application (with sufficient detail.) For your implied question in a comment, yes DoE (Design of Experiment) is about the planning, that is, actually to be done before you actually do the experiment. Linear mixed models are used if you have some random factors, for example, in a Taguchi designs these could be ambient factors that can be controlled in an experiment, but not in production.
So there is certainly the possibility to use mixed models for data obtained from designed experiments, but the need for that comes from the actual application, and not from the design.