box_behnken


box_behnken, a FORTRAN77 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 GNU LGPL license.

Languages:

box_behnken is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

box_behnken_test

cvt, a FORTRAN90 library which computes elements of a Centroidal Voronoi Tessellation.

faure, a FORTRAN90 library which computes elements of a Faure sequence.

GRID, a FORTRAN90 library which computes elements of a grid sequence.

HALTON, a FORTRAN90 library which computes elements of a Halton sequence.

HAMMERSLEY, a FORTRAN90 library which computes elements of a Hammersley sequence.

HEX_GRID, a FORTRAN90 library which computes elements of a hexagonal grid dataset.

HEX_GRID_ANGLE, a FORTRAN90 library which computes elements of an angled hexagonal grid dataset.

IHS, a FORTRAN90 library which computes elements of an improved distributed Latin hypercube dataset.

LATIN_CENTER, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing center points.

LATIN_EDGE, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing edge points.

LATIN_RANDOM, a FORTRAN90 library which computes elements of a Latin Hypercube dataset, choosing points at random.

LATINIZE, a FORTRAN90 library which can "latinize" a dataset.

LCVT, a FORTRAN90 library which computes a latinized Centroidal Voronoi Tessellation.

NIEDERREITER2, a FORTRAN90 library which computes elements of a Niederreiter sequence using base 2.

SOBOL, a FORTRAN90 library which computes elements of a Sobol sequence.

TABLE_LATINIZE, a FORTRAN90 program which reads a table file containing a set of data, and writes out a corresponding "latinized" version.

TOMS647, a FORTRAN90 library which implements a version of ACM TOMS algorithm 647, for evaluating Faure, Halton and Sobol sequences.

UNIFORM, a FORTRAN77 library which computes elements of a uniform pseudorandom sequence.

VAN_DER_CORPUT, a FORTRAN90 library which computes elements of a (1 dimensional) van der Corput sequence.

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:


Last revised on 14 September 2023.