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C-optimal designs for polynomial regression without intercept.Chen, Ying-Ying 17 February 2003 (has links)
In this work, we investigate c-optimal design for polynomial regression model without
intercept. Huang and Chen (1996) showed that the c-optimal design for the dth degree
polynomial with intercept is still the optimal design for the no-intercept model for estimating
certain individual coe cients over [−1, 1]. We found the c-optimal designs explicitly for
estimating other individual coe cients over [−1, 1], which have not been obtained earlier.
For the no-intercept model, it is shown that the support points are scale invariant over
[−b, b]. Finally some special cases are discussed for estimating the coe cients of the 2nd
degree polynomial without intercept by Elfving theorem over nonsymmetric interval [a, b].
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