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Biometrika 1972 59(2):275-293; doi:10.1093/biomet/59.2.275
© 1972 by Biometrika Trust
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Planning experiments to detect inadequate regression models

A. C. ATKINSON

Imperial College London

The adequacy of a regression model can be tested by fitting an extended model which reduces to the given model for particular parameter values. The choice of the extended model for nonlinear regression is discussed. Two experimental design criteria are compared and designs are developed for simultaneously providing information about both the original regression model and the hypothesis that the model is adequate. Designs are tabulated for detecting second-order departures from two k-factor models and an example is given of a nonlinear application.

Key Words: Regression • Goodness-of-fit tests • Response surface designs • D-optimality • Nonlinear designs • Orthogonal designs • Constrained maximization • Efficiency of designs


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