Factorial orthogonality in the presence of covariates
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The present paper obtains necessary and sufficient conditions for factorial orthogonality in the presence of covariates. In particular, when interactions are absent, combinatorial characterizations of the conditions, as natural generalizations of the well-known equal and proportional frequency criteria, have been derived.
Key wordsFactorial orthogonality covariate reduced normal equation orthogonal projector orthonormal contrast proportional frequency criterion
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