Journal of the Korean Statistical Society
- Volume 15 Issue 1
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- Pages.46-61
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- 1986
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- 1226-3192(pISSN)
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- 2005-2863(eISSN)
The Moore-Penrose Inverse for the Classificatory Models
- Kim, Byung-Chun (Department of Applied Mathematics, Korea Advanced Institute of Science and Technology, PO Box 150, Chuongryang, Seoul 131) ;
- Lee, Jang-Taek (Department of Applied Mathematics, Korea Advanced Institute of Science and Technology, PO Box 150, Chuongryang, Seoul 131)
- Published : 1986.06.01
Abstract
Many procedures for deriving the Moore-Penrose invese $X^+$ have been developed, but the explicit forms of Moore-Penerose inverses for design matrices in analysis of variance models are not known heretofore. The purpose of this paper is to find explicit forms of $X^+$ for the one-way and the two-way analysis of variance models. Consequently, the Moore-Penerose inverse $X^+$ and the shortest solutions of them can be easily obtained to the level of pocket calculator by way of our results.
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