The simplest mixed design (split-plot design) has 2 levels in the between-subject factor and 2 levels in the within-subject factor.

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Think about what a split-plot (mixed) design represents in experimental design terminology.
Option 1: True. In a typical mixed design with one between-subjects factor and one within-subjects factor, having 2 levels for the between-subjects factor and 2 levels for the within-subjects factor creates a 2×2 mixed design. This setup is often described as the simplest nontrivial mixed design because it includes one factor whose levels differ between participants (between-subjects) and one factor whose levels are observed within the same participants across conditions (within-subjects). The 2 levels in each factor provide a straightforward contrast structure and manageable interaction assessment.
Option 2: False. If someone argues that the simplest mixed design is not 2×2, they would be implying a different minimal structure. However, the essence of a mixed design requires at least one between-subjects factor and one within-subjects factor; with two levels on each, you get the common and simplest form of a mixed  design. Saying it is not 2×2 overlooks the conventional split-plot layout where each participant experiences the within-subjects factor while being assigned to a level of the between-subjects factor. In other words, the claim in this option contradicts the standard, widely taught minimalist mixed-design structure, making it incorrect.

SP25: ISE-211 Sec 01 - Exptl Des for HF Practice Final Exam - Part A - Requires Respondus LockDown Browser

The simplest mixed design (split-plot design) has 2 levels in the between-subject factor and 2 levels in the within-subject factor.

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