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Original Articles

Fitting polynomials to main effects in multi factor experiments: unequal spacing and unbalanced data with no missing cells

Pages 2899-2916 | Received 01 May 1999, Published online: 27 Jun 2007

Bibliography

  • Berztiss , A.T. 1964 . Least Squares Fitting of Polynomials to Irregularly Spaced Data . SIAM Review , 6 : 203 – 227 .
  • Carmer , S.G. and Self , R.D. 1963 . Calculation of Orthogonal Coefficients When Treatments Are Unequally Replicated and/or Unequally Spaced . Agronomy Journal , 55 : 387 – 389 .
  • Freund , R.A. and Yates , F. 1964 . Statistical Tables for Biological Agricultural and Medical Research , New York : Hafner Publishing .
  • Freund , Rudolf J. and Wilson , William J. 1997 . Statistical Methods , New York : Academic Press .
  • Iman , Ronald L. 1994 . A Data-Based Approach to Statistics , Belmont, California : Wadsworth Publishing .
  • Kirk , Roger E. 1982 . Experimental Design: Procedures for the Behavioral Sciences , Pacific Grove, California : Brooks/Cole Publishing Company .
  • Neter , John , Kutner , Michael , Nachtsheim , Christopher and Wasserman , William . 1996 . Applied Linear Statistical Models , Homewood, IL : Richard D, Irwin .
  • Pearson , E.S. and Hartley , H.O. 1958 . Biometrika Tables for Statisticians , Vol. 1 , Cambridge University Press .
  • Raktoe , B.L. , Hedayat , A. and Federer , W.T. 1981 . Factorial Designs , New York : John Wiley & Sons .
  • 1959 . A Simple Method for Constructing Orthogonal Polyno- mials When the Independent Variable is Unequally Spaced . Biometrics , 15 : 187 – 191 .
  • SAS Institute . 1990 . SAS/STAT User’s Guide, Version 6 , Vol. 2 , Gary, NC : SAS Institute .
  • Seber , G.A.F. 1977 . Linear Regression Analysis , New York : John Wiley & Sons .
  • Winer , B.J. , Donald , R. and Michels , Kenneth M. 1991 . Statistical Principles in Experimental Design , New York : McGraw-Hill .

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