Liu, Wei, Wynn, H.P. and Hayter, A.J.
Statistical inferences for linear regression models when the covariates have functional relationships: polynomial regression
Journal of Statistical Computation and Simulation, 78, (4), . (doi:10.1080/00949650601100981).
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In many linear regression models, there are functional relationships among the covariates. The usual (partial) F tests for these models do not utilize these functional relationships, however, and so have certain undesirable properties. Improvements over these F tests are proposed in this article, and they are based on simultaneous confidence bands. For ease of illustration of the ideas, we focus on the polynomial regression model.
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