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Orthogonal polynomials are commonly used in the analysis of variance for the construction of orthogonal contrasts among equally spaced levels of a treatment factor. The existence of tables 1; 2 giving the compounding coefficients for these particular contrasts often influences the experimenter to choose an equal spacing. A simple procedure for constructing orthogonal polynomials when the levels are unequally spaced frees the experimenter from this sometimes undesirable restriction.
D. S. Robson (Mon,) studied this question.