BOX_BEHNKEN
Box-Behnken Sampling


BOX_BEHNKEN is a C++ library 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 GNU LGPL license.

Languages:

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

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LCVT, a C++ library which computes a latinized Centroidal Voronoi Tessellation.

NIEDERREITER2, a C++ library which computes elements of a Niederreiter sequence using base 2.

SOBOL, a C++ library which computes elements of a Sobol sequence.

TABLE_LATINIZE, a C++ program which reads a table file containing a set of data, and writes out a corresponding "latinized" version.

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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:

Examples and Tests:

List of Routines:

You can go up one level to the C++ source codes.


Last revised on 27 October 2008.