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Original Articles

A generating algorithm for linear trend-free and nearly linear trend-free block designs

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Pages 1259-1280 | Received 01 Jun 1987, Published online: 27 Jun 2007

References

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  • Federer , W.T. and Schlottfeldt , C.S. 1954 . The use of covariance to control gradients in experiments . Biometrics , 10 : 282 – 290 .
  • Fisher , R.A. and Yates , F. 1953 . Statistical Tables for Biological , Agricultural and Medical Research , New York : Hafner Publishing Company Inc .
  • Stufken , J. 1988 . On the existence of linear trend-free block designs . Commun. Statist. Theor. Meth , 17
  • Wichmann , B.A. and Hill , I.D. 1982 . An efficient and portable pseudo-random number generator . Applied Statistics , 31 : 183 – 188 . Algorithm AS
  • Yeh , C.M. 1977 . Designs with Polynomial Trends in Complete or Incomplete Blocks , Tallahassee , Florida : Florida State University Library . Ph.D. Dissertation
  • Yeh , C.M. and Bradley , R.A. 1983 . Trend-free block designs: Existence and construction results . Commun. Statist. Theor. Meth , 12 : 1 – 24 .
  • Yeh , C.M. , Bradley , R.A. and Notz , W.I. 1985 . Nearly trend-free block designs . J. Amer. Statist. Assoc , 80 : 985 – 992 .

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