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Answer :
Final answer:
Main effects in a 2x2x2 table can be identified by comparing the marginal means for each level of a variable. Two-way interactions occur when the effect of one variable on the response depends on the level of another variable.
Explanation:
Main effects in a 2x2x2 table refer to the effects of each individual variable on the response variable, without considering interactions. To identify the main effects, you can compare the marginal means for each level of a variable. For example, if there were three variables A, B, and C in the table, you would compare the means for A1, A2, B1, B2, C1, and C2. Two-way interactions occur when the effect of one variable on the response depends on the level of another variable. To identify two-way interactions, you can compare the differences in means between levels of one variable at each level of another variable. For example, if A and B are the variables, you would compare the differences in means between A1 and A2 at each level of B.
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