Partial Least Squares

Example 1

Summary: Build a partial least squares model using nipals method

Code:

// Open data table
dt = Open("$Sample_Data/Baltic.jmp");
// Partial Least Squares
Partial Least Squares(
    Y( :ls, :ha, :dt ),
    X(
        :v1, :v2, :v3, :v4, :v5, :v6, :v7,
        :v8, :v9, :v10, :v11, :v12, :v13,
        :v14, :v15, :v16, :v17, :v18,
        :v19, :v20, :v21, :v22, :v23,
        :v24, :v25, :v26, :v27
    ),
    Fit(
        Method( NIPALS ),
        Initial Number of Factors( 15 )
    )
);

Example 2

Summary: Fit a partial least squares model using the nipals method

Code:

// Open data table
dt = Open("$Sample_Data/Body Fat.jmp");
// Partial Least Squares
Partial Least Squares(
    Y( :Percent body fat ),
    X(
        :"Age (years)"n, :"Weight (lbs)"n,
        :"Height (inches)"n,
        :"Neck circumference (cm)"n,
        :"Chest circumference (cm)"n,
        :"Abdomen circumference (cm)"n,
        :"Hip circumference (cm)"n,
        :"Thigh circumference (cm)"n,
        :"Knee circumference (cm)"n,
        :"Ankle circumference (cm)"n,
        :
        "Biceps (extended) circumference (cm)"n,
        :"Forearm circumference (cm)"n,
        :"Wrist circumference (cm)"n
    ),
    Validation( :Validation ),
    Initial Number of Factors( 13 ),
    Fit(
        Method( NIPALS ),
        Number of Factors( 7 ),
        Variable Importance Plot( 1 )
    )
);

Example 3

Summary: Perform Partial Least Squares regression with Y variable log RAI and multiple X variables including :S1, :L1, :P1, :S2, :L2, :P2, :S3, :L3, :P3, :S4, :L4, :P4, :S5, :L5, :P5 using the Partial Least Squares function.

Code:

// Open data table
dt = Open("$Sample_Data/Penta.jmp");
// Partial Least Squares
Partial Least Squares(
    Y( :log RAI ),
    X(
        :S1, :L1, :P1, :S2, :L2, :P2, :S3,
        :L3, :P3, :S4, :L4, :P4, :S5, :L5,
        :P5
    ),
    Go
);

Example 4

Summary: Perform a Partial Least Squares (PLS) analysis on the Wine Tasting data using the NIPALS method with 1 factor extracted through KFold validation.

Code:

// Open data table
dt = Open("$Sample_Data/Wine Tasting.jmp");
// Partial Least Squares
Partial Least Squares(
    Y(
        :Hedonic, :Goes with meat,
        :Goes with dessert
    ),
    X(
        :Price, :Sugar, :Alcohol,
        :Acidity
    ),
    Validation Method(
        KFold( 5 ),
        Initial Number of Factors( 4 )
    ),
    Fit(
        Method( NIPALS ),
        Number of Factors( 1 )
    )
);