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最陡峭的上升搜索

如何实施PSA（ 最陡峭的上升搜索）分析在JMP DOE模式？

回复：最陡峭的上升搜索

嗨，我的朋友，

非常感谢你的帮助。

回复：最陡峭的上升搜索

我不完全确定，但我认为你在谈论一种顺序的实验方法，在这种方法中（通过利用第一种设计的结果），你可以通过沿最陡上升线选择新点来增强设计。我认为有很多人会建议有更好的方法来增强设计，但“更好”将取决于你的具体情况。

 

尽管如此，如果您想使用该方法，这个脚本可能会让您入门。执行'File> New> New Script'，复制JSL，然后'编辑>运行脚本'：

 

// ian.cox@jmp.com: 18Sep2010
// Quick demo of design augmentation by steepest ascent

// Make some random data from a main effects model with no interaction
dt1 = New Table("Original Design",
     Add Rows( 10 ),
     New Column( "x1", Numeric, Continuous, Formula( Random Uniform(-1, 1) ) ),
     New Column( "x2", Numeric, Continuous, Formula( Random Uniform(-1, 1) ) ),
     New Column( "y", Numeric, Continuous, Formula( (2 * :x1 + 3 * :x2) + 0.1 * Random Normal() ) )
    );
// Fit the model
fmd = dt1 << Fit Model(
     Y( :y ),
     Effects( :x1, :x2 ),
     Personality( Standard Least Squares ),
     Emphasis( Effect Leverage ),
     Invisible
     );
fmo = fmd << Run;
// Get what we need
fmr = fmo << Report;
pn = fmo << GetParameterNames;
pe = fmo << GetEstimates;
ps = fmo << GetStdErrors;
Print(pn, pe, ps);
// Close the (invisible) report
fmr << CloseWindow;
// Take x1 to be the base factor
X2OverX1 = pe[3]/pe[2];
// Specify number of steps to take and x1 step size for each
n = 6;
delX1 = 0.3;
// Get points on the path of steepest ascent into a new 'design' table
x1pts = J(n, 1, .);
x2pts = J(n, 1, .);
for (p=1, p<=n, p++,
 x1pts[p] = delX1 * p;
 x2pts[p] = x1pts[p] * X2OverX1;
);
dt2 = AsTable(x1pts||x2pts);
dt2 << SetName("Path of Steepest Ascent from Fit of "||(dt1 << GetName));
x1Col = Column(dt2, "Col1") << SetName("x1");
x2Col = Column(dt2, "Col2") << SetName("x2");
// Concatenate the two design tables
dt1 << NewColumn("Design", Numeric, Ordinal, Values(J(Nrow(dt1), 1, 1)));
dt2 << NewColumn("Design", Numeric, Ordinal, Values(J(Nrow(dt2), 1, 2)));
dt3 = dt1 << Concatenate(dt2, Output Table( "Augmented Design" ));
// Use graph builder to show the final result
dt3 = Graph Builder(
    Show Control Panel( 0 ),
    Variables( X( :x1 ), Y( :x2 ), Color( :Design ) ),
    Elements( Points( X, Y, Color, Legend( 1 ) ) ),
    SendToReport(
     Dispatch(
      {},
      "400",
      ScaleBox,
      {Legend Model( 1, Properties( 1, {Line Color( 67 )} ) )}
     ),
     Dispatch( {}, "Graph Builder", FrameBox, {Marker Size( 4 )} )
    )
   );