# 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.