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Original Articles

Optimum properties of latin square designs and a matrix inequality

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Pages 345-350 | Received 01 Aug 1975, Published online: 27 Jun 2007

References

  • Bellman , R. 1960 . Matrix Analysis , New York : McGraw-Hill .
  • Kiefer , J. 1958 . On the nonrandomized optimality and randomized nonoptimality of symmetrical designs . Ann. Math. Statist , 29 : 675 – 699 .
  • Kiefer , J. 1975 . Balanced block designs and generalized YOUDEN designs, I.Construction patchwork . Ann. Statist , 3 : 109 – 118 .
  • Kurotschka , V. 1971 . Optimale Versuchsplane bei zweifach Massifizierten Beob-achtungsmodellen . Metrika , 17 : 215 – 232 .
  • Kurotschka , V. 1972 . Optimale Versuchsplanung bei Modellen der Varianzanalyse , Göttingen : Habilitationsschrift .
  • Ruiz , F. and Seiden , E. 1974 . On constructions of some families of generalized YOUDEN designs . Ann. Statist , 2 : 503 – 519 .
  • Searle , S.R. 1971 . Linear Models , New York : Wiley .
  • Sonnemann E. Rechteckige Versuehsplane, die spezielie Wechselwirkungen beriicksichtigen 1975 Unpublished manuscript
  • Wald , A. 1943 . On the efficient design of statistical investigations . Ann. Math. Statist , 14 : 134 – 140 .

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