A researcher has conducted an experiment with three factors: A (three levels), B (two levels), C (two levels). In a balanced experiment with four observations per cell, the researcher fits a full three-way factorial model and has SSE = 54. The researcher would like to be able to discard factor C from the discussion. A twoway factorial using only factors A and B had SSE = 45. Is the researcher justified in concentrating the discussion simply on the effects of A and B?
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