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Factorial orthogonality in the presence of covariates |
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| Authors: | Rahul Mukerjee Haruo Yanai |
| Institution: | (1) Indian Statistical Institute, National Center of Entrance Examination for University, India |
| Abstract: | Summary 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. |
| Keywords: | Factorial orthogonality covariate reduced normal equation orthogonal projector orthonormal contrast proportional frequency criterion |
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