13.3.2. Macro “samplingLHS.C”

13.3.2.1. Objective

Generate a design-of-experiments of 5000 patterns, using the LHS method, with three random attributes:

1. Attribute x1 obeys an uniform law on interval [3, 4];

2. Attribute x2 obeys a normal law with mean value equal to 0.5 and standard deviation set to 1.5;

3. Attribute x3 follows a triangular law on interval [1, 5] with mode 4.

13.3.2.2. Macro Uranie

    // Create a TDataServer
    TDataServer * tds = new TDataServer();

    // Fill the DataServer with the three attributes of the study
    tds->addAttribute(new TUniformDistribution("x1", 3., 4.));
    tds->addAttribute(new TNormalDistribution("x2", 0.5, 1.5));
    tds->addAttribute(new TTriangularDistribution("x3", 1., 5., 4.));

    // Generate the sampling from the TDataServer
    TSampling *sampling = new TSampling(tds, "lhs", 5000);
    sampling->generateSample();

    tds->StartViewer();

    // Graph
    TCanvas  *Canvas = new TCanvas("c1", "Graph for the Macro sampling",5,64,1270,667);
    TPad *pad = new TPad("pad","pad",0, 0.03, 1, 1); pad->Draw();
    pad->Divide(2,2);

    pad->cd(1); tds->Draw("x1");
    pad->cd(2); tds->Draw("x2");
    pad->cd(3); tds->Draw("x3");
    pad->cd(4); tds->drawTufte("x1:x2");

Laws are set for each attribute and linked to a TDataServer:

    tds->addAttribute(new TUniformDistribution("x1", 3., 4.));
    tds->addAttribute(new TNormalDistribution("x2", 0.5, 1.5));
    tds->addAttribute(new TTriangularDistribution("x3", 1., 5., 4.));

The sampling is generated with the LHS method!

    TSampling *sampling = new TSampling(tds, "lhs", 5000);
    sampling->generateSample();

13.3.2.3. Graph

Figure 13.10 Graph of the macro “samplingLHS.C”