Box's design reduced the costs of experimentation so that a quadratic model could be fit, which led to a ( long-sought ) ascent direction.
12.
The linear quadratic model is widely viewed in radiotherapy as the best model of cellular survival, and it is the best fit to leukemia data from the LSS cohort.
13.
The engineers had not been able to afford to fit a cubic three-level design to estimate a quadratic model, and their biased linear-models estimated the gradient to be zero.
14.
A major difference between them is that NEWUOA constructs quadratic models by objective function at much less than ( n + 1 ) ( n + 2 ) / 2 points ( 2n + 1 by default ).
15.
In this sense we can state that a quadratic model is a generalization of the linear model, and its use is justified by the desire to extend the classifier's ability to represent more complex separating surfaces.
16.
To estimate the 105 parameters in a quadratic model of 13 variables, one must formally exclude from consideration or compute | X'X | for well over 10 6 C10 2, i . e . 3 13 C105, or roughly 10 484 matrices.
17.
For example, a quadratic design for 30 variables requires a 30 column PB plan matrix of zeroes and ones, replacing the ones in each line using PB seed matrices of-1s and + 1s ( for 15 or 16 variables ) wherever a one appears in the plan matrix, creating a 557 runs design with values,-1, 0, + 1, to estimate the 496 parameters of a full quadratic model.
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