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March, 1958 A Note on Balanced Designs
V. R. Rao
Ann. Math. Statist. 29(1): 290-294 (March, 1958). DOI: 10.1214/aoms/1177706729


It is proved that a necessary and sufficient condition for a general design to be balanced is that the matrix of the adjusted normal equations for the estimates of treatment effects has $v - 1$ equal latent roots other than zero.


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V. R. Rao. "A Note on Balanced Designs." Ann. Math. Statist. 29 (1) 290 - 294, March, 1958.


Published: March, 1958
First available in Project Euclid: 27 April 2007

zbMATH: 0228.62045
MathSciNet: MR93881
Digital Object Identifier: 10.1214/aoms/1177706729

Rights: Copyright © 1958 Institute of Mathematical Statistics

Vol.29 • No. 1 • March, 1958
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