Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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An Efficient Computing Method of the Orthogonal Projection Matrix for the Balanced Factorial Design

  • Published : 1993.12.01
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Abstract

It is well known that design matrix X for any factorial design can be represented by a product $X = TX_o$ where T is replication matrix and $X_o$ is the corresponding balanced design matrix. Since $X_o$ consists of regular arrangement of 0's and 1's, we can easily find the spectral decomposition of $X_o',X_o$. Also using this we propose an efficient algorithm for computing the orthogonal projection matrix for a balanced factorial design.

Keywords

References

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