On the property of balance and the pattern op c-matrdc in block designs |
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| Authors: | Sudhir Gupta |
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| Institution: | Division of Statistics Department of Mathematical Sciences , Northern Illinois University , DeKalb , IL , 60115 |
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| Abstract: | The alternative ways of defining balance in experimental designs, e.g. variance, efficiency, and X-1balance are discussed, A condition is derived for a design to estimate the given set of contrasts with specified variances and covariances. This condition is based upon the C-matrix of block designs. The usefulness of the results presented in the construction of designs is discussed with the help of examples. |
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