Getting Started

    What Is the Model-Based Calibration Toolbox?
        About the Model Browser
        About CAGE

    How to Use This Manual
    System Requirements
        Hardware Requirements
        Operating System Requirements
        Required MathWorks Products
        Optional MathWorks Products

Quickstart Tutorial

    Two-Stage Models
    Starting the Toolbox
    Setting Up the Model
        Setting Up the Local Model
        Setting Up the Global Model
        Selecting Data
        Specifying the Response Model

    Verifying the Model
        Verifying the Local Model
        Verifying the Global Model
        Selecting the Two-Stage Model
        Comparing the Local Model and the Two-Stage Model
        Maximum Likelihood Estimation
        Response Node

    Exporting the Model

Design of Experiment Tutorial

    What Is Design of Experiment?
        Design Styles

    Starting the Design Editor
    Optimal Designs
        Start Point Tab
        Candidate Set Tab
        Algorithm Tab

    Design Displays
    Prediction Error Variance Viewer
        Improving the Design

    Classical Designs
        Classical Design Browser
        Set Up and View a Classical Design

    Design Evaluation Tool
        Improving the Design

    Space-Filling Designs
        Setting Up a Space-Filling Design

    Applying Constraints
        Saving Designs

Data Editor Tutorial

    Loading the Data
        Entering the Data Editor
        Loading a Data File

    Viewing and Editing the Data
        User-Defined Variables & Filtering
        Defining a New Variable
        Applying a Filter
        Sequence of Variables
        Deleting and Editing Variables and Filters
        Storage
        Test Groupings

GUI Reference

    Project Level: Startup View
        Project Level: Toolbar
        Project Level: Menus

    Model Tree
    Test Plans
        Creating a New Test Plan
        Creating New Test Plan Templates

    Test Plan Level
        Block Diagram Representations of Models
        Test Plan Level: Toolbar and Menus

    Setting Up Models
        Instant One-Stage Model Setup
        Instant Two-Stage Model Setup
        Setting Up Inputs
        Global Model Setup
        Global Linear Models: Polynomials and Hybrid Splines
        Global Model Class: Radial Basis Function
        Global Model Class: Hybrid RBF
        Global Model Class: Multiple Linear Models
        Global Model Class: Free Knot Spline
        Local Model Setup
        Local Model Class: Polynomials and Polynomial Splines
        Local Model Class: Truncated Power Series
        Local Model Class: Free Knot Spline
        Local Model Class: Growth Models
        Local Model Class: Linear Models
        Local Model Class: User-Defined Models
        Local Model Class: Transient Models
        Covariance Modeling
        Correlation Models
        Transforms
        Designing Experiments

    Data
        The Data Editor
        Data Loading and Merging
        User-Defined Variables and Filtering
        Variable and Filter Editors
        Storage
        Test Groupings
        Data Wizard
        Data Selection Window

    New Response Models
        Datum Models

    Local Level
        Local Special Plots
        Local Scatter Plots
        Diagnostic Statistics Pane
        Response Features List Pane
        Test Notes Pane
        Local Level: Toolbar
        Local Level: Menus
        Model Menu (Local Level)
        View Menu (Local Level)
        Outliers Menu (Local Level)
        Outlier Selection Criteria
        Data Tab

    Global Level
        Global Special Plots
        Global Scatter Plots
        Global Level: Toolbar
        Global Level: Model-Specific Tools
        Global Level: Menus

    Selecting Models
        Select
        Model Selection Window
        Tests View
        Predicted/Observed View
        Response Surface View
        Likelihood View
        RMSE View
        Residuals View
        Cross Section View

    MLE
        MLE Settings

    Response Level
        Response Level: Toolbar and Menus

    Model Evaluation Window
        Model Evaluation Using Other Data

    Exporting Models
        What Is Exported?
        Evaluating Models in the Workspace

    The Design Editor
        Design Styles
        Design Editor Displays

    Creating a Classical Design
    Creating a Space Filling Design
        Setting Up a Space Filling Design

    Creating an Optimal Design
        Optimal Design: Start Point Tab
        Optimal Design: Candidate Set Tab
        Optimal Design: Algorithm tab
        Adding Design Points
        Fixing, Deleting, and Sorting Design Points
        Saving and Importing Designs

    Applying Constraints
        Constraint Types
        Importing Constraints

    Prediction Error Variance Viewer

Technical Documents

    Linear Regression
        Stepwise Regression

    Definitions
    Prediction Error Variance
    High-Level Model Building Process Overview
        Univariate Model Building Process Overview

    Stepwise Regression Techniques
        Stepwise Table

    Box-Cox Transformation
    Linear Model Statistics Displays
        Summary Statistics
        ANOVA Table
        Diagnostic Statistics
        PRESS Statistic
        Pooled Statistics

    Design Evaluation Tool
        Design Matrix
        Full FX Matrix
        Model Terms
        Z2 Matrix
        Alias Matrix
        Z2.1 Matrix
        Regression Matrix
        Coefficient Information
        Standard Error
        Hat Matrix
        |X'X|
        Raw Residual Statistics
        Degrees of Freedom Table
        Design Evaluation Graphical Displays
        Export of Design Evaluation Information

    Maximum Likelihood Estimation
    Two-Stage Models for Engines
        Local Models
        Global Models
        Two-Stage Models
        Prediction Error Variance for Two-Stage Models
        Global Model Selection
        References

    Local Model Definitions
        Local Models and Associated Response Features
        Polynomial Models
        Polynomial Splines
        Truncated Power Series Basis (TPSBS) Splines
        Free Knot Splines
        Three Parameter Logistic Model
        Morgan-Mercer-Flodin Model
        Four-Parameter Logistic Curve
        Richards Curves
        Weibul Growth Curve
        Exponential Growth Curve
        Gompertz Growth Model

    Neural Networks
    User-Defined Models
        To Begin
        Template File
        Subfunctions
        Optional Subfunctions
        Checking into MBC
        Check In
        MBC Modeling

    Transient Models
        The Simulink Model
        Parameters
        Checking the Model
        Transient Models
        Template File
        Subfunctions
        Checking into MBC
        Check In
        MBC Modeling

    Data Loading Application Programming Interface
        Data Function Prototype
        Input Arguments
        Output Arguments
        Data Function Check In

Radial Basis Functions

    Guide to Radial Basis Functions for Model Building
    Types of Radial Basis Functions
        Gaussian
        Thin-Plate Spline
        Logistic Basis Function
        Wendland's Compactly Supported Function
        Multiquadrics
        Reciprocal Multiquadrics

    Fitting Routines
    Center Selection Algorithms
        Rols
        RedErr
        WiggleCenters
        CenterExchange

    Lambda Selection Algorithms
        IterateRidge
        IterateRols
        StepItRols

    Width Selection Algorithms
        TrialWidths
        WidPerDim

    Prune Functionality
    Statistics
        GCV Criterion
        GCV for Ridge Regression
        GCV for Rols
        References

    Hybrid Radial Basis Functions
        Width Selection Algorithm: TrialWidths
        Lambda and Term Selection Algorithms: Interlace
        Lambda and Term Selection Algorithms: TwoStep

    Tips for Modeling with Radial Basis Functions
        Plan of Attack
        How Many RBFs to Use
        Width Selection Algorithms
        Which RBF to Use
        Lambda Selection Algorithms
        Center Selection Algorithms
        General Parameter Fine-Tuning
        Hybrid RBFs