latinize

latinize, an Octave code which adjusts an M dimensional dataset of N points so that it forms a Latin hypercube.

On output, each row of the table will have the properties that:

  1. the minimum and maximum row values are the same as on input;
  2. the row contains N evenly spaced values between the minimum and maximum.
  3. in each row, the elements retain their ordering.

Licensing:

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

Languages

latinize 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:

latinize_test

latin_center, an Octave code which computes Latin Square datasets by choosing the center of each square.

latin_cover, an Octave code which produces N Latin squares which cover an NxN square, or NxN Latin cubes which cover an NxNxN cube.

latin_edge, an Octave code which computes Latin Square datasets by choosing the edge of each square.

latin_random, an Octave code which computes Latin Square datasets by choosing a random point of each square.

Reference:

  1. M D McKay, W J Conover, R J Beckman,
    A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code,
    Technometrics,
    Volume 21, pages 239-245, 1979.
  2. Yuki Saka, Max Gunzburger, John Burkardt,
    Latinized, Improved LHS, and CVT Point Sets in Hypercubes,
    International Journal of Numerical Analysis and Modeling,
    Volume 4, Number 3-4, 2007, pages 729-743,

Source Code:

Last revised on 18 October 2022.