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Q128Section III (Statistics)128 of 145

Three textbook facts on factorials, orthogonal contrasts and confounding

Consider the statements: (1) If the presence of interaction inflates the error mean square, one should use factorial designs. (2) Two contrasts with coefficients {ci}\{c_i\} and {di}\{d_i\} are orthogonal if ∑i=1acidi=0\sum_{i=1}^ac_id_i=0. (3) Confounding is a design technique for arranging a complete factorial experiment in blocks. Which of the above statements are correct?

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