box_behnken

box_behnken, a MATLAB code which returns a set of sample argument values to be used to analyze the behavior of a function.

Given DIM_NUM parameters, each of which is prescribed to lie between a minimum and maximum range, and a function taking these parameters as arguments, this program returns a table of sets of argument values that may be used to sample the function's behavior.

One sample point is the average. All other sample points are generated by setting a single spatial coordinate to its average value, and all other spatial coordinates to either the minimum or maximum. In this way, 1 + DIM_NUM*2**(DIM_NUM-1) points are generated.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

box_behnken is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

box_behnken_test

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Reference:

1. George Box, Donald Behnken,
   Some new three level designs for the study of quantitative variables,
   Technometrics,
   Volume 2, pages 455-475, 1960.

Source Code:

• box_behnken.m, returns a Box-Behnken design for the given number of factors.
• box_behnken_size.m, returns the size of a Box-Behnken design.
• r8mat_transpose_print.m, prints an R8MAT, transposed.
• r8mat_transpose_print_some.m, prints some of an R8MAT, transposed.
• r8mat_write.m, writes an R8MAT to a file.