The three-factor factorial model for a single replicate is yijk = ???? + ????i + ????j +

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The three-factor factorial model for a single replicate is yijk = ???? + ????i + ????j + ????k + (????????)ij

+(????????)jk + (????????)ik + (????????????)ijk + ????ijk If all the factors are random, can any effects be tested? If the three-factor and (????????)ij interactions do not exist, can all the remaining effects be tested?

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