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An investigation of first‐order and second‐order designs for extrapolation outside a hypersphere
Author(s) -
Draper Norman R.,
Herzberg Agnes M.
Publication year - 1979
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315009
Subject(s) - hypersphere , extrapolation , order (exchange) , variance (accounting) , shell (structure) , mathematics , first order , surface (topology) , radius , mathematical analysis , algorithm , computer science , geometry , engineering , mechanical engineering , business , accounting , computer security , finance , economics
Methods for selecting a first‐order or second‐order rotatable response surface design when both variance and bias error exist are applied to a situation in which it is desired to extrapolate the fitted model in all directions outside of a sphere within which all the experiments are to be made. The extrapolation region is a spherical shell.